{"text":"Question: What is the third derivative of 2313*z**5 - z**4 - 2*z**3 + 3*z**2 - 2*z - 2512?\nAnswer: 138780*z**2 - 24*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -9. Let p(k) = -k + 4. Let f be p(z). Let s(j) = 20*j**3 + j**2 - j. What is the units digit of s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69348468 to the nearest integer?\nAnswer: 8328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 13366474 times 46\nAnswer: 614857804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 378, 1544, 3482, 6186, 9650, 13868, 18834?\n\"Answer: -k**3 + 392*k**2 - 3*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 181\/8  (b) 2\/3  (c) -2\/19  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(-1)*(2 + -3). Suppose m*d - 3 = 3*d. Let a(b) = -13*b + 1. Is a(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.2, 0.016, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(65)*2 + sqrt(65))\/(sqrt(5) + (sqrt(5) - sqrt(30)\/sqrt(6)*-6) + sqrt(5)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00013151852 rounded to seven decimal places?\nAnswer: -0.0001315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2)\/(p\/((p*p**(4\/9))\/p)))\/(p**(1\/3))**(5\/6))\/((p**(-1\/4)*p)\/(p**(3\/2)\/p)*(p\/(p**(-1\/8)*p))\/p*(p**(-3)\/p)\/p) assuming p is positive.\nAnswer: p**(67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 4*t**2 + 38 + 2*t**2 - t**2.\nAnswer: 5*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 25, 4*i - 2*l + 5*l = 59. Suppose z - 2 = i. Suppose 43*o - 46*o = -108. What is the remainder when o is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72 - 44 + 269 - 76 - 2*o - 72.\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**5*u**2 - 207005199*c**3*u**3 - 456*c**2*u**2 - 197219*u**3 wrt c.\nAnswer: 60*c**2*u**2 - 1242031194*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 14*x**2 - 2*x + 4. Let b be u(3). Suppose 0 = -4*l + 4*s + 96, -s + 0*s = -5*l + b. Solve -t - 8 = -2*m, 0 = -5*m + 2*t + 3*t + l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 75 + -51. Let t = d - 2. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.30999983 + -0.31. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*v = 2*x + 71, 2*v + x - 152 = 0. Suppose 0 = -2*i + 5*i - v. What is the remainder when i is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 16*t + 25. Suppose -l + 2*l - 22 = 0. What is the remainder when h(-15) is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(2*sqrt(6)*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-2 - -1) - ((-85 - -30 - -149) + -17).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/2548 and 91\/12.\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/520 and 29\/2409380.\nAnswer: 62643880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -290, -972, -2064, -3572, -5502, -7860, -10652?\n\"Answer: -a**3 - 199*a**2 - 78*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -761*i**8\/336 - 31*i**4\/24 - 5*i**3\/6 + i**2 + 167. What is the second derivative of m(q) wrt q?\nAnswer: -15220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24134 is divided by 8012.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 - (-2254)\/735 - (-2)\/(-30). Let k be (-3 - (-14)\/4)*0. Solve k = -3*h - g + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 8*r**2 + 8*r - 2. Suppose 0 = c - 2*f + 3, 5*f = 3*c + f - 1. Let x be a(c). Factor -l**x + 1 - 1.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -28. Suppose -h - w*z - 161994 = 0, -2*h - h = -3*z + 486006. Round h to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**5\/7 + 22*c**4\/7 + 6*c**3\/7 - 10*c**2 + 44*c\/7 = 0?\nAnswer: -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 4*y - 6, -2*a - 2*a = 3*y - 14. Let s be y\/(-12) - 147\/(-18). Let d(h) = h**2 - 9*h + 2. Calculate d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -6*h**4\/5 - 57*h**3 + 744*h**2\/5 - 60*h = 0.\nAnswer: -50, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {z: 7, d: 4, u: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o. Let q(i) be the first derivative of -2*i**5\/15 + 40*i**3\/3 - 8. Let s(u) be the third derivative of q(u). Calculate s(m(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12276 and 23364.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11151 (base 7) to base 8\nAnswer: -5415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 + 7*j**2 - 7*j - 10. Determine r(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2606 - 2591. Calculate the greatest common factor of 14 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/(-10))\/((-2)\/(-10)). Suppose 5*p - o = 19. Let k(z) = -z**3 - 3*z**2 + 3*z - 1. What is the remainder when p is divided by k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*r + 4 = -9, -4*r = -2*b + 8. Let m(u) = -u**3 - 6*u**2 + 5*u - 6. Let j be m(-7). Find the second derivative of -d**2 - 8 + j - b*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 3 + 81. Let k = -14 + a. Suppose 131 = 3*p + 4*x, -190 = -k*p + 2*p - x. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 11*o - 35. What is the remainder when 17 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.56638 rounded to 1 decimal place?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9\/2 - -4. Let k = 3 - -2. Let d = -6 + k. Sort 0.2, d, l in increasing order.\nAnswer: d, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24005178?\nAnswer: 2, 3, 1333621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285243*a + 1560 = 285363*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -32, -0.1, 44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(200) + 5 + -4 + (sqrt(162) - (sqrt(162) + (sqrt(162) - (-2 + sqrt(162) + sqrt(162))))) + sqrt(2))**2 + -2.\nAnswer: -60*sqrt(2) + 1799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.78 - 22.22. Put 1\/5, d, -5, 1\/3 in ascending order.\nAnswer: d, -5, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v + 14*v - 21879 = -5*b, 3*b = -3*v + 32796. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/63 + (-8)\/14. Let o(g) = 146*g - 1. Let d be o(0). What is the nearest to 1 in -2, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4535, 37, -13, -1, 1 in descending order.\nAnswer: 4535, 37, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 (base 16) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 31 = -29. Solve -s + 4*p = s + a, 5*s - 4*p + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 11. Let y(z) = 2*z + 1. Let j be y(b). Let s(q) = -9*q**3 - 1. What is s(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 39\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**3 + 4731021*i**2 - 52040742*i - 198701496 = 0.\nAnswer: -3, 14, 1576996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9090 by -447.\nAnswer: -3030\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.268 + -0.35. What is n rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)\/(c\/c**(-8)))\/(c**(-2\/5))**(-1\/2) assuming c is positive.\nAnswer: c**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of 50*m**4\/3 - m**3\/2 + 9*m**2. Let a be u(1). Let f = a + -198. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/51912 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 10*z**2 - 17*z + 8. Let t be x(8). Suppose -4*k - 4*j + 52 = t, 5*k - 2*j - 21 - 9 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53890 is divided by 2771?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 12. Suppose 4*v = o*l - 72, 6*v = l + v - 38. Solve 3*r = 5*z + l, z + 4*z = r - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6357190 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 21*w + 11. What is f(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40415736 and 11787923?\nAnswer: 282910152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11675531, 11675541, 11675553, 11675567?\nAnswer: 11675583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18954767?\nAnswer: 13, 37, 157, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 0*k - 3*k)*(5 - 9 + 0 + 2*k).\nAnswer: -4*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.2815 and 11.\nAnswer: -47.0965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.9?  (a) -16\/111  (b) 358\/5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.218 + 2.722. Round s to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 44\/7 + -6. Let g be (-14)\/(-35) + 102\/(-105). Which is the biggest value?  (a) 3  (b) g  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(7\/3)\/(u*u**(-1\/6)))**28)**30)**(-1\/10) assuming u is positive.\nAnswer: u**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 22 + -36 + ((-5)\/(-1) - 8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7787 - 27?\nAnswer: 7760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a**3 + a**2. Let g be s(6). Let p be 92*(g\/8)\/((-18)\/(-120)). What is p rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -g**5\/150 - 13*g**4\/30 + 8*g**3 + 28*g**2 + 3*g + 2. Let p(l) = 0. What is l?\nAnswer: -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -13*q**2 - 103*q - 220. What is t(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 15726 = 120*c - 118*c, 2*m - 7905 = 5*c. Does 116 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -446292 - 88668 = 41*f - 131*f. Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44*(494\/(-26))\/(-304)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 4*b + 8, 4*z - 23 = 3*b + 2*b. Solve 6 = -u - 3*y, -3*y = -z*u + 3 + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41194.7 - 0.1422195918?\nAnswer: 41194.5577804082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55380, -55375, -55370, -55365, -55360, -55355?\nAnswer: -55350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -156501 divided by 25\nAnswer: -156501\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 9:39 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2, -5, 9, 1, 8 in decreasing order.\nAnswer: 9, 8, 6, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 82 - 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105*u - 91*u - 110*u + 270*u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 142, 127, 100, 61, 10, -53?\n\"Answer: -6*c**2 + 3*c + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2110359 and -6343385.\nAnswer: -8453744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7)\/14 + 2\/4. Suppose 12 = 2*d - 0*d. Let s be ((-8)\/d)\/(4\/(-6)). Solve -v = -5*o - 0*v - 9, a = -o - s*v - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -104.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 324, 2, -1\/7, -4, 1\/6 in decreasing order.\nAnswer: 324, 2, 2\/3, 1\/6, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1149 and 1018014?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 1 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/2646 and 31\/18?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.167 - 80.\nAnswer: -80.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1070\/(-80) - 1\/(24\/(-9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6, x: 4, d: 4}. What is prob of picking 1 d and 2 b?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -206*p - 27. What are the prime factors of s(-4)?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23 * 36.7.\nAnswer: 844.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -46223 and 5.\nAnswer: -46218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 4:35 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39231668 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/137 and -97\/10.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**6\/120 + o**5\/5 + o**4\/2 + 7*o**3\/3 - 2*o**2. Let w be m(-11). Sort 6, w, -5 in ascending order.\nAnswer: -5, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zizjjrzrrzaf. What is prob of sequence jzji?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 0*d = -10. What is the units digit of -4 + (41*d)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13883 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 7*a + 18 = 4*a, 4*j = -2*a + 4. Suppose -3*v - 30 = 3*v. Sort v, -3, j in descending order.\nAnswer: j, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -71*f**2 - 31*f - 42. Let w(g) = -41*g**2 - 16*g - 22. Calculate -4*i(z) + 7*w(z).\nAnswer: -3*z**2 + 12*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -21707, -21710, -21713, -21716?\n\"Answer: -3*g - 21704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.3128 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 2*d**2 + 6*d - 5 + 0*d.\nAnswer: -2*d**2 + 6*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -199*s**3\/6 + 407*s**2\/2 + 31*s. What is the first derivative of f(x) wrt x?\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -x**6\/60 - x**5\/60 + x**4\/6 + x**3\/3 + 3*x**2. Let k(d) = -d - 4 + 3 + 0. Determine -4*k(w) - r(w).\nAnswer: 2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 89, 227, 505, 923, 1481?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4\/3 + 22*g**3\/3 - 26*g**2 + 82*g\/3 - 28\/3.\nAnswer: 2*(g - 1)**3*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/3, 1\/4, 4468, 0.08, 4, -1\/9 in decreasing order.\nAnswer: 4468, 4, 5\/3, 1\/4, 0.08, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147484 is divided by 2168?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 523\/42 - 86\/7. Sort -583, n, 3, -4 in increasing order.\nAnswer: -583, -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10538\/9 or -1172?\nAnswer: -10538\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.011 * 1888497.\nAnswer: 20773.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 486759 divided by -39\nAnswer: -12481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 1\/2*l**2 - l - 1\/24*l**3 + 1\/240*l**5 + 0 + 0*l**4. Let y(r) be the first derivative of q(r). Find k such that y(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11, -1, -23, -61, -121?\n\"Answer: -y**3 + y**2 - 8*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 149 + -149. What is the second biggest value in g, 5, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of 2*g**3\/3 - 2*g**2 + 2*g. Let w(o) be the second derivative of -2*o**3 + 13*o**2\/2 + 2*o + 66. Calculate -2*w(d) - 7*z(d).\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -p - 3*p. Suppose 0 = -x + p - 0. Let u(c) = 1 + 1 + 5*c**2 - x. Let r(k) = 2*k**2. Calculate r(u(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 3:43 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-282*b - 1505*b - 117*b)*(2*b**2 - 4*b**2 - b**2).\nAnswer: 5712*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 9*m + 14*m)*(2*m**4 - m**2 + m**2)*(0 + 0 - 1).\nAnswer: -42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30424 (base 6) to base 16.\nAnswer: fd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o - 304 = 26*o. Which is smaller: -39 or o?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 17 = 2*s - 3, -4*s + 16 = -4*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 4*q + 7. Let s be b(5). Let a be (66\/77)\/((-2)\/(-28)). Suppose -4*k = 4*v + a, -3*v = v - 3*k - s. Are v and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 8845844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -257769739.\nAnswer: 4\/257769739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b1 + a32?\nAnswer: ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 11  (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -13. Sort p, -9, 0 in descending order.\nAnswer: 0, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 8552.\nAnswer: 42760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**3 + 15635*g - 7 - 14070*g + 12 - 5.\nAnswer: 2*g**3 + 1565*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 105*x - 8. Let n be r(1). Suppose -4*q = j - 453, -j = q - 4*j - n. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109420897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 2*g, 4*g - 3*g = 3*h. Is 2\/11 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 5*j + 2*j + 3 - 3 + (1 - 1 + 2)*(3*j + j - 3*j) + 4*j - 2*j + 0*j + 0*j + 4*j - 3*j + 0*j + j + 4*j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12284039*p - 5221324.\nAnswer: -12284039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 345791 is divided by 278.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 1. Let k(v) = -v**3 - 21*v**2 - 15*v - 4. Let p(b) = -6*i(b) - k(b). Determine p(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/1 - (0 - 1). Let y(j) = j**3 - 13*j**2 + 27*j - 48. Let s be y(11). Solve 2*v - s*v - 5*k + 25 = l, 0 = 2*k - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.2*0.044\nAnswer: -0.2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/21*21889\/354 + -23. Factor 2*z**2 + 0 + m*z**3 + 1\/2*z**4 - 6*z.\nAnswer: z*(z - 1)*(z + 2)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1, -5, 18, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((640\/40)\/8)\/((-1)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 540 is divided by 126.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -7*w**2. Let u(h) = -25*h - 2. What is q(u(n))?\nAnswer: -4375*n**2 - 700*n - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4011824361?\nAnswer: 3, 1337274787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 786 + -1216. List the prime factors of n\/(-3)*54\/45.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, e: 4, s: 9, j: 4}. What is prob of sequence hh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 125977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 8:07 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14319474, 14319477, 14319482, 14319489?\nAnswer: 14319498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3486, -6981, -10472, -13959?\nAnswer: -17442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1388, 1396, 1404, 1412, 1420?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -361, -359, -357, -355?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 34\/51 - (-32)\/(-3). Let k(d) = 6*d + 56. Let f be k(n). What is the tens digit of (-146)\/(f - -3) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*s**3 - 102*s**2*w**2 + 2*s*w**2 + 127*s wrt s.\nAnswer: 24*s - 204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3832 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u\/(u**7*u))*u*u*u)\/u)\/u**(-8) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 108, 220, 436, 792, 1324?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*1*(-2 + ((0 + sqrt(425))**2 + -4 + -5 - (2*sqrt(425)*3 + 0))).\nAnswer: -414 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1519300 - 2603826. Let u = -1084525.5900046 - l. Let i = 0.41 - u. Round i to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*t**3 + 569556*t**2 + 2821295*t wrt t?\nAnswer: 18*t + 1139112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5288272 and 5808?\nAnswer: 174512976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -5*x - 3. Let a(m) = 4*m + 2. Let p be (-60)\/24*(-12)\/5. What is p*a(r) + 5*k(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2007843111 to the power of 1\/3, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.091904394 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 5*a**2 - 10*a. Calculate the least common multiple of w(-4) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 5*r**3 + 728*r**2 + 14*r + 49. Let x(n) = -5*n**3 - 727*n**2 - 12*n - 42. Determine -6*q(c) - 7*x(c).\nAnswer: 5*c**3 + 721*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -105\/274528 and -17\/8510368?\nAnswer: 8510368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2706.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 40 + -43.4. Let r = p + 2. Let q = r - -2.1. Round q to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 189917 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -176 + 177. Let y be 8\/(-12)*w\/2. Which is the second biggest value?  (a) 0  (b) y  (c) 1  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y = 5*l - 11*y + 33, 3*y - 9 = 2*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -0.4, 187?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*w = -578, -675 + 88 = -2*r - 5*w. What is the highest common factor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 21587  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1986, 3\/4, 1.675, 3 in ascending order.\nAnswer: 3\/4, 1.675, 3, 1986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 7 - x**3 + 4*x**2 - 4*x**2 + 7*x. Let w(n) = -4*n - 9*n**3 - 104 - 2*n - 108 + 10*n**3 + 206. Determine -6*h(j) - 7*w(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -87*z + 9*z + 199056. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1)\/(r\/(r*r\/(r\/(r**23\/r))))*(r*(r*r**(1\/21)*r)\/r)**(-20\/7) assuming r is positive.\nAnswer: r**(2227\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/(-25)*(-5 - 0). Solve w*b = -4, 2*c - 2 = 6*b - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/4 and 13\/14322.\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0260331 and -3351.9?\nAnswer: 3351.8739669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-1\/5)*t)\/t*t**(-6))\/(t\/t**(-1\/4)*t**(-2\/7)\/t))\/(t**(4\/5)*t*t*t**(-1\/9)\/t*(t**0)**(-1\/8)) assuming t is positive.\nAnswer: t**(-1979\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3927*d + 533*d + 2878*d + 1896*d in the form q*d + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -133 (base 5) to base 12.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16 divided by 12479\nAnswer: 16\/12479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 555258180 divided by -138\nAnswer: -4023610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1145, 16, 1, 10 in decreasing order.\nAnswer: 1145, 16, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 106 + -73. Suppose 4*x - o = 5*a + 39, 4*x = -4*a - 72. Let y = a - -3. Sort y, 5, -4 in decreasing order.\nAnswer: 5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 0.1, 0.549, 2\/5, 0 in decreasing order.\nAnswer: 3, 0.549, 2\/5, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 616 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(-1 - 2*m + 1 - 4*m + 3*m - m + (-2 - m + 2)*(5 - 3 - 3) + 146*m - 769 + 1533 - 768).\nAnswer: 286*m - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*v - 8 = 0, 5*d + 2*v = -9 + 23. Differentiate -c + 4*c - 4*c - d with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -757, -760, -765, -772?\n\"Answer: -n**2 - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 336703987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -a481 (base 11) to base 4\nAnswer: -3120323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101 - 1111001101?\nAnswer: -1111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-1)\/(-1)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -15, -3.\nAnswer: -15, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.4 + 6. Let q = -1 - -2. Sort 0.3, q, n.\nAnswer: n, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1970312 is divided by 225?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from {u: 4, w: 2, r: 2, b: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 7:38 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 188265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 11*m - 10. Let i(g) = 45*g - 39. Let o(r) = -9*b(r) + 2*i(r). Let n(c) = c**2 - 5. Let k be n(0). Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**2 + 210409*i - 1052035. Calculate n(5).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/3)\/o*o)**(9\/7)*((o*o**3)\/o*o)**(-18\/5))**(2\/81) assuming o is positive.\nAnswer: o**(-356\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = 2*g, j - 1 - 26 = -5*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -761*l**3 - 1970*l**3 - 1068*l**3.\nAnswer: -3799*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**3 - 3*a**2 + 2*a - 1. Let h be t(2). Let g = h - 9. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 36160  (b) -1174\/9  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4163\/5 + -838. Let z = 199\/35 + x. Let t = -5.11 + 0.11. Sort z, -0.1, t in decreasing order.\nAnswer: z, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 12 + 33 = -5*r, 5*r + 23 = 3*d. Is -10\/389 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(175) + 3*sqrt(7) + 4.\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.7?  (a) 10  (b) 1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 3950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)*-3 - sqrt(90))\/sqrt(9))\/(sqrt(125)*2 - sqrt(125)).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 k, and 1 h when three letters picked without replacement from {h: 7, j: 1, k: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -168 - -242. Suppose 0*z - 5*z - 3*i + 185 = 0, 2*z + 3*i - f = 0. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 21053*t - 21. Give c(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -199.807 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2.4. Let u = -131.2 + 140.2. Put u, -2\/7, y, -1 in decreasing order.\nAnswer: u, -2\/7, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/(-130)*-27 - (-6)\/39. Let c(i) = 21*i - 7. Calculate c(s).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123284 divided by -9.\nAnswer: 123284\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 7*f - 7. Let k(h) = -6*h + 1. Let u be k(1). Let l(d) = d**2 - 4*d + 4. Let g(y) = 7*y + 4. Let a be g(-1). Give a*m(r) + u*l(r).\nAnswer: -2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 36*o - 220. Determine h(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 675.1977ng?\nAnswer: 0.6751977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p + 64. Let o be m(21). Which is the biggest value?  (a) -7\/8  (b) o  (c) 2\/7  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43 + -41. Solve -q = 3*h - 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5\/38 + 101\/190. Suppose 5*t - 16 - 4 = 0. What is the nearest to 0.1 in 2\/9, t, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -18. Let h be 1\/2*(3 - 2\/2). Let c be (-45)\/(-9)*(15 + 1\/h). What is the greatest common factor of n and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 + 10*z**2 + 2*z**2 + ((1 + 0 + 0)*(2*z + 0*z + 0*z) - 3*z + 3*z + 2*z - z - z + z)*(-2*z + 3 - 3))*(3 - 2 + 2).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2500225 and 6280.\nAnswer: 20001800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 - 15 = -3*k + 5*z, 5*k + 3*z - 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 170221\/6 - 28286. Let l = u + -84. What is the smallest value in -0.5, 1, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5023 = 79*h - 78*h, 0 = 5*h + 3*c - 25047. List the prime factors of h.\nAnswer: 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9577018621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30072 - -30067. Sort 5, y, 3, -0.1, 17 in ascending order.\nAnswer: y, -0.1, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 266, 267, 264, 257, 246?\n\"Answer: -2*d**2 + 7*d + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -17)\/((-1)\/1). Let b(g) = 15*g**2 - 61 + 53 + 16*g - 12 - 5. Let o be b(m). Round o to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -138 divided by -69?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1008)\/(-1320) + (-4)\/10. Is b at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by 63.\nAnswer: -16\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - 2)\/((-4)\/(-88)). Let k be ((-2)\/(-12))\/(11\/v). Let a = k - 11\/15. What is the nearest to 2\/3 in -5, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 741 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 25 = -5*j, -l - 11 = 3*j. Suppose -11*u + 10*u = -5*o - 555, -l*u - 2*o + 2176 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36531*f**5 - 421*f**2 + 36*f - 2 wrt f.\nAnswer: 2191860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 3*u - 13 - 5, 3*u = 2*i. Let y(o) = o**3 - 6*o**2 + 8*o - 9. Does 13 divide y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*l**2 - 11*l + 19*l - 10*l.\nAnswer: -19*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/12)\/((-1)\/(-10)). Suppose -y*f = -4*f - 14. Calculate the greatest common divisor of 112 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 833661277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/9 + 2944*z\/9 - 5896\/9.\nAnswer: 2*(z - 2)*(z + 1474)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 2, d: 2, v: 4, p: 1, j: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1716384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64, 66, 68?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 307 + 134. Is 29 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hknhnhkhhhhh. Give prob of picking 2 k and 2 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 5*z - 22. Suppose -z*x = -7*x. Suppose 5*r - 2*r - 12 = x. Solve -r*d + 5 = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 497729.4mg in micrograms?\nAnswer: 497729400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102110210021101 - -2?\nAnswer: 102110210021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96.13284ug to kilograms.\nAnswer: 0.00000009613284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -2*s + 5*s. What is the tens digit of s\/1 - 0\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(5\/6))\/c*c)**17 assuming c is positive.\nAnswer: c**(187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -0.03. Which is the second smallest value?  (a) x  (b) 1\/2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 485404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-0.0359.\nAnswer: -0.01795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1558 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*i + 4*z = -238, 5*z + 595 = 5*i. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14 + 11)*1\/(-3) - -66. Suppose -g = n - 1. Let v be (g\/(-24))\/((-1)\/(-12)). What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 552759, 1105574, 1658389?\n\"Answer: 552815*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, -4, 3 in descending order.\nAnswer: 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 173 - -6393?\nAnswer: 6566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 219633 divided by -1.\nAnswer: -219633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77*82\/861*3\/(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -1824*c**3 + 574561*c**2 - 310*c - 1587. Calculate o(315).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 580 - 594. Which is the nearest to n?  (a) -4  (b) 0.5  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 3*d. Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16230659 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 574.94 * 187.\nAnswer: 107513.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r**10*r*r)\/(r\/r**(2\/29)))**(1\/28)*(r*r\/(r\/r**6)*r**(2\/17)*r)\/((r*r*r**(-6\/11)\/r)\/(r*r*r**(-7))) assuming r is positive.\nAnswer: r**(475249\/151844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1829582938.\nAnswer: 2, 3709, 246641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 99 - 92. Suppose 4*s - 6 - 7 = r, 19 = s + 5*r. Suppose -a = -3*a - d, -d = -s*a. Solve -5*p + 2 - q = a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20833, -41666, -62499?\nAnswer: -83332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t**3 - 8551*t**2 - 5*t**3 - 12*t**3 - 3*t**3.\nAnswer: -26*t**3 - 8551*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + 4*s + s - s + s - s - 4*s + 2*s + 4*s + 2*s + 2*s - 3*s - s + 0 + 0 + (3*s + s - 3*s)*(2 + 1 - 2) + 0*s + 0*s + 2*s + s + 2 - 2)*(27 - 68*s - 27).\nAnswer: -952*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -1.27  (c) -36.7685  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -9*u**2 - 5*u + 10. Let j(x) = 5*x**2 + 3*x - 6. Let c(b) = -5*j(b) - 3*w(b). Let s(k) = -13*k**2. Give s(c(z)).\nAnswer: -52*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 253 divide 40299358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 104 = -3*b - b, 5*b - 80 = -3*s. Calculate the greatest common factor of s and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3309 and 60198176.\nAnswer: 60201485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/2733549 and 88\/15561.\nAnswer: 8200647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381 = -266*h + 237*h - 4*u, h = -2*u + 15 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -4*n - 2. Let m(j) = -105*j + 315. What is 28*l(h) - m(h)?\nAnswer: -7*h - 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000940199 to six decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 130025\/(-92875)*890\/(-14).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 865?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q - 131. Suppose -2*t - 3*w = -48, t + 15*w - 13 = 19*w. Let y be d(t). Let j(n) = -n**2 - 5*n - 5. What is j(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 171416 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -147, -221, -295?\n\"Answer: -74*t - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 44*k + 1. List the prime factors of b(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -123131334 (base 5) to base 3\nAnswer: -1010102122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 958 = 5*o - 10653, 2*o = -3*i + 4640. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -4*x**2 + 336*x - 972 = 0.\nAnswer: 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 4, -2961 in decreasing order.\nAnswer: 32, 4, -2961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -54.00001086 - -54. Round h to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-4))\/((-21)\/(-28)). Let c = -27 - -43. Let v = -17 + c. Put -5, v, d in increasing order.\nAnswer: -5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*y**3 - 11*y**3 + 2454*y**2 + 705*y**2 + 344 wrt y.\nAnswer: -6*y**2 + 6318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - -14b16?\nAnswer: 14b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of 2*n**4\/3 - 3*n**3\/2 - 3*n**2 - 387*n. Let a(q) = -7*q**2 + 8*q + 5. What is -6*a(y) - 5*f(y)?\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*v + 2*v - v**2 - v**2 + (3 + 2 - 3)*(-8728*v + 8728*v - 29*v**2) as b*v + y*v**2 + s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 32\/30 - 4\/6. Let m be 1\/(-5) + (-90)\/(-200). Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 4*f + 120 = 104, 10*a + f = -35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*2 - sqrt(110))\/sqrt(10) - (sqrt(44)\/sqrt(2))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 1  (c) -5  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {w: 4, f: 15}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 178, 530, 1120, 1954, 3038, 4378?\n\"Answer: k**3 + 113*k**2 + 6*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**2. Let f(u) = -1914*u**2. Calculate f(x(m)).\nAnswer: -7656*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 divide 460105830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 4, -1538, 0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 154 = 4*s, -s = 2*l - 42 - 30. What is the highest common factor of 357 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n - 3*n + 3*n)*((-2 + 3 + 1 + (-6 + 2 + 5)*(2 + 3 - 2) + 6 + 11 + 0)*(0 + 6 + 1) + (-5 + 5 + 3)*(0 - 2 + 0)) as h + v*n and give v.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -190199, -190158, -190117?\nAnswer: -190076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28 (base 14) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i. Let k(n) = n**2 + n. What is j(q) + k(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*g**2*p**3 + 24*g**2 + 107*g*p**3 + 278*p**3 + 12 wrt g?\nAnswer: -20*g*p**3 + 48*g + 107*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 117?  (a) -3  (b) -2\/7  (c) 0  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ia when two letters picked without replacement from zsziaiszmsfss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.5 - -2. Let h be (0\/3 + 2)*5\/50. Let p = -12 + 17. What is the second smallest value in p, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -204615 (base 8) to base 10\nAnswer: -67981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(704) + -3*sqrt(704) + sqrt(704))**2 + 1 + 5 - 5*(-4*-2*sqrt(121))\/sqrt(396).\nAnswer: -20*sqrt(11)\/3 + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2901 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(2\/(-5)))\/(-21 - -20). Let h be (2 - 2)\/(-2 + 1). Put -3, i, h in decreasing order.\nAnswer: i, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 4:24 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + -25. Solve -2*u + 5*o + l = 3*o, -27 = -3*u + 4*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 901 - 414. Let q = 380 + l. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 1, k: 3, x: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000581437264 rounded to 6 decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -23 + 4 + -22 + -17 + 29\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -5) + -4 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -0.04. Let i = g - -0.34. Suppose 21 = -5*n + 1. Which is the second smallest value?  (a) n  (b) i  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 537.558 - -12513.217. Let p = 13051.06500068 - g. Let b = p + -0.29. Round b to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, z: 10, e: 3}. What is prob of sequence ee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*d**4 - 3*d**2 + 322*d**3 + 1 + 3*d**2 - 636*d**3 + 320*d**3 to z*d**3 + a*d**4 + p + i*d + h*d**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 156800 and 5292.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 209574 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -1. Let v(a) = -a**2 - 9*a - 14. Let t(q) = 5*i(q) - v(q). Suppose -5*w - 9 = 31. What is the units digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 371.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/100 and -7\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(4\/11)*j)\/(j\/j**(-2\/47))*(j*j**(-1\/23))\/((j\/(j*j**8))\/j*j))**(-8\/5) assuming j is positive.\nAnswer: j**(-176512\/11891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 + 1. Let j(k) = -k**2 - k - 1. Let s be j(-1). Let z(u) = 11*u**3 - 5 - 5 - u**3. Let b be (2*9)\/(9\/(-6)). Give b*h(n) + s*z(n).\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-5\/2)*g**(-1\/3)*g*g**(-2)\/g*(g\/g**9)\/g)**(47\/3))**(10\/11) assuming g is positive.\nAnswer: g**(-19505\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*d**2 + 105*d**2 + 161*d**2 to t*d + l + c*d**2 and give c.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -131121?\nAnswer: -131132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**2 + 7*d + 23. Calculate a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 212 + -203. Let x(u) = 24*u**3 + 15*u**2 - 20*u + 22. Is x(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 - 6*x**2 + 6*x - 3. Let o be y(5). Suppose -3 = -3*d - u - 0, -4*d + 4 = 5*u. Solve -o*g + d + 3 = z, 0 = 3*z - 3*g + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from xmwmvbwlwwmmbmb.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u - 1. Let g be f(4). Let z be -12*(1 + (-12)\/g). Suppose 11 = j - 5*h + 2, h = -4*j + z. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1753 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 1\/6  (b) 2  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36185.\nAnswer: 5, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.743 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(105\/27) - 8\/28. Does 8 divide ((-16)\/6)\/(b\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4126152.\nAnswer: 2, 3, 171923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -i - 3*i. Let o be (-36)\/21 + (-2)\/i. Let l(v) = v**2 + 3 + 5*v**2 - 4 - 5*v**2. Let p(c) = 3*c**2 + c - 1. What is o*l(q) + p(q)?\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (429\/(-77) + 6)\/((-2)\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40.3 + -5.8. Let v = 4.5 + d. Let n = v - 38.99999971. Round n to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46 and 21977558.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4609068.\nAnswer: 2, 3, 384089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 0*y + 30 = 0. Suppose m = -2*k + 27, -m = 3*m + 4*k - 124. Suppose 5*l - m = -y. Solve -g - 2 = -3*g + l*h, -2*h = -4*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/13 + 1 + (-56)\/(-26). Let g(x) = 25*x**2 - 10*x**2 - 13*x**j. Let u(y) = -8*y**2 + 13*y**2 + 7*y**2. Determine g(u(k)).\nAnswer: 288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16066 and 19944?\nAnswer: 578376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3\/548 + 3635\/822. Find the common denominator of v and 47\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + -2*sqrt(539)*2 - (1 + sqrt(539) + sqrt(539)*-2 + sqrt(539)))**2.\nAnswer: 42*sqrt(11) + 4852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 544.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r - 8. Let v be s(3). Let z = 0 + 0.05. Which is the biggest value?  (a) v  (b) 1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 789416?\nAnswer: 2, 101, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m + 0*m**3 + 2*m**3 + m**2 - m**3 - 3*m as t*m + i*m**2 + o*m**3 + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1146*x - 28167 + 12797 = 33821 + 10401 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -177*b + 1425. Let p = -13 - -25. Calculate the smallest common multiple of s(8) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {h: 9, u: 7, m: 1, d: 2}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 + 32. Suppose s - 25 = -q - 2*q, -2*q = -u*s + 20. Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -2*f - 13 - 19, 0 = 5*f + 2*z + 56. Let x be (12\/(-210))\/((-2)\/f). Let u = 1.7 + -1.9. What is the smallest value in x, u, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -22. Calculate the smallest common multiple of 54 and -1 + 2 - (-18 - b\/1).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 241934*o. Let z(d) = 21*d. Calculate i(z(h)).\nAnswer: 5080614*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 54852*t**2 + 6*t + 1388095 wrt t?\nAnswer: 109704*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2528 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1093178 times 0.5?\nAnswer: -546589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 118 - -1.3703156.\nAnswer: 119.3703156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -52775\/182 + 3830\/13. What is the common denominator of i and -77\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1512 = -14*p + 22*p. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/(-6)*-2)\/(6129\/2043).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1121, -2246, -3371?\n\"Answer: -1125*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -163 + 148. What is the hundreds digit of (-2)\/(-8)*(-30)\/m*798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -7*n**6\/720 - 3*n**4\/2 - 24*n. Let q(r) be the third derivative of v(r). Let z(i) = 2*i. Give q(z(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 208 - 224 - (2 + -4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6b (base 14) to base 8.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 6*h - 6. Let r be f(-8). Let c = r + -10. Suppose -o + c*o = -331. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*w - 4*w + 3*w)*(11335*w**2 - 191 + 66 + 73 + 52) to q*w**2 + o*w + u + l*w**3 and give l.\nAnswer: 22670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 3*x**2 - x**2)*(-2*x + 3*x - 2*x) + (0*x - 2*x + x + (-4*x + 8*x - 3*x)*(5 - 4 - 2) - x - 2*x + x)*(-2796*x - 61*x**2 + 2796*x).\nAnswer: 243*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 62967.02m?\nAnswer: 62967020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 3, 609768, 2, 1.\nAnswer: -5, 1, 2, 3, 5, 609768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 7, h: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 47583176401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 - 683 = -3*m - 3*w, 2*w - 838 = -3*m. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/1 - (-23 + 32 + 20 + (-5346)\/234).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374172445 to the power of 1\/3, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4100, -8310, -12628, -17054, -21588, -26230?\n\"Answer: -54*b**2 - 4048*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*f + 57*f + 4*x = 4, 0 = 9*f + x + 69 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 2*g + 6 = 0, -50*j + 936*g + 8 = -53*j + 938*g - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 3*g - 9. What is y(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*d + 12*d - 30*d)*(-4 + 1 + 4).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/(p\/(p*p**(1\/11)\/p))*p)*p**(-24) assuming p is positive.\nAnswer: p**(-265\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1007970024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 598, 602, 616, 646, 698, 778, 892?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 785985 by -1.\nAnswer: -785985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 9:17 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 103495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82 and 400482301?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((b - b - 2*b)*(1 - 4 + 2) - b + 2*b + 7*b)*(2*b**3 + b**3 - 9*b**3) to m*b**2 + l + v*b**3 + q*b**4 + w*b and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 656, -0.7, -0.3, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -1\/9, 1\/4, -3487, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 73347 and -3497050?\nAnswer: 3570397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -2 + 1\/7*r**4 - 8\/7*r - 2\/35*r**5 - 4\/7*r**2 + 2\/7*r**3. Solve h(m) = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -194 and -18095\/93 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2280\/(-2261)*-14 + -14. Let r be (0 + -1)*(-3)\/75. Which is the closest to m?  (a) r  (b) -5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, 17, -4, 2\/17 in ascending order.\nAnswer: -4, 2\/17, 1\/6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14\/11*i**2 - 18\/11*i**3 + 4\/11*i + 0.\nAnswer: -2*i*(i - 1)*(9*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -358009, -716063, -1074113, -1432159?\nAnswer: -1790201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 3*h**2 + 4*h + 2. Let y = -4 - -8. Let r(k) = 3*k - 5. Let l be r(y). Is p(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 506 and 3726?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 459 divide 1144938321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/7))**(3\/17) assuming r is positive.\nAnswer: r**(6\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ao when two letters picked without replacement from kavvoavkkkvvvakvavkk?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a1a + -723?\nAnswer: 2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/2 or 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from uujujjf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 1 + 1)*(2*p**3 + 3*p**5 - 2*p**3).\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-10) + 1 - 0. Let p be (3\/21)\/((-12)\/42). What is the second smallest value in r, 1, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2189201 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*w**3 - 129*w**4 - 6*w**2 - 2*w + 4*w**2 - 12*w**3 + 123*w**4 to q*w**2 + i + u*w**3 + p*w + f*w**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 79764, 319370, 718706, 1277766, 1996544, 2875034?\n\"Answer: -x**3 + 79871*x**2 - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3268.027 seconds in milliseconds?\nAnswer: 3268027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 6. Let y(g) = -g**3 + 12*g**2 + 3*g - 18. Let c be y(12). Let a = c - 14. Solve a*z = n*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117190039?\nAnswer: 73, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 14. Let k(g) = 24*g - 59. Let u(i) = 13*i - 29. Let m(y) = -6*k(y) + 11*u(y). What is the remainder when m(v) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xyek when four letters picked without replacement from vyyyyykvyxyxcvecykvy?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 27*r**2 - 60*r - 56. Let f be q(-29). Let h be (-152)\/(-288) + f\/9. Put h, 7, 2\/13, -2\/5 in descending order.\nAnswer: 7, h, 2\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) 1  (c) -5  (d) 531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(3 + sqrt(208)) + sqrt(208) - (-5 + 1*sqrt(208)))*-1 + 1)**2.\nAnswer: 312*sqrt(13) + 2041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 12:25 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 60*a**3 + 35*a. Let p(m) = m**3 - 2*m**2 + 1. Let b(q) = 9*q**3 - 8*q**2 + 3*q + 4. Let i(g) = -b(g) + 4*p(g). Determine -35*i(l) - 3*v(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-22)\/(-33)*(-30)\/(-4). Suppose -5*x - u = -15, 4*x + 6 = -r*u - 3. Solve x*z - 2*c - 6 = 0, 2*z - 3*c = 4 + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k - 1. Let b(u) = u**2 - u - 2. Let c be b(3). Suppose q + q = -c, 4 = 3*g + q. What is m(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.898 + 2.9. What is t rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136\/10 + (-10)\/(-25) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -189804 less than or equal to -189779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -0*d + 40. Let f = 8 - d. Differentiate 4*u**4 + 3 - 4 + f wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14351 (base 13) in base 4?\nAnswer: 21100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-684)\/2394)\/(4\/(-182))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -114\/13 - -1000\/117. Let z = 1.673 - 0.673. Let t = -6\/35 - -124\/315. Which is the nearest to z?  (a) u  (b) t  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68 and 10067.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -17 - 4*m**2 - 4*m**2 + 5*m**2 + 5 - 5*m. Give g(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 82 + 196 = 0. Suppose 4*r - 57 = a. Find the third derivative of 2 - 2*t**2 - r*t**5 - 2 + 27*t**5 wrt t.\nAnswer: -1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-336)\/(-30))\/(-4))\/(2\/(-5)). What is the remainder when 158 is divided by 4*f\/(-70) + 234\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = a + 4, a + 10 = -4*a + 5*j. What is the second derivative of c**4 + 2*c + 0*c + a*c wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28970 is divided by 605?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/36)\/((-4728)\/10638).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ddb4 (base 14) to base 12\nAnswer: 1a262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 26*a**2 + 217 - 430 - 16*a + 216 - 3*a**3. Let s be y(8). Sort 1, -4, 3\/8, s.\nAnswer: -4, 3\/8, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 9*l + 15. Let z = -227 - -238. What is the smallest common multiple of f(-9) and z?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 1 - i - 1 + 3. Let u(b) = 2*b - 4. Let x(w) = -3*u(w) - 4*v(w). Let g(q) = 2*q**2. What is x(g(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -672?  (a) 1\/2  (b) -2\/7  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 + -34 + -6 + 20 + 12 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14856593 or 14856595?\nAnswer: 14856593","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 0.03303\nAnswer: 0.003303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -372.7 * -4125\nAnswer: 1537387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/147)\/((-41 - -44) + (-46)\/14)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 (base 12) in base 2?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -290, -185, -80?\n\"Answer: 105*x - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (-4)\/((-100)\/(-35))*2. Factor x*y - 3\/5*y**2 - 6\/5.\nAnswer: -3*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/1173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15 + 10)*22\/(-55). Solve 0 = v*k - q - 6, k - 5*q + 6 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 + 70*z - 88. Let c be t(-35). Suppose -27 = -5*f - 137. List the prime factors of (f + 17)*c\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 69*j - 61*j - 128. Sort 4, -3, j, 3.\nAnswer: -3, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -10\/11*c**2 + 4\/11*c**3 + 10\/11*c**4 + 0 - 4\/11*c = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n**2. Let k(y) = y**3 + 7*y**2 - 1. Let j be k(-7). Determine w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away 39164352?\nAnswer: -39164354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 527455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -a5965d (base 14) in base 11?\nAnswer: -3182623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j - 2184 = -29*j. What is the highest common divisor of 210 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-8) - ((-251)\/38 - -6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13719*a**3*b**2*r + 4*a**3*b*r**2 + 67*a**2 - 7*a*b*r**2 + 2*a*r + b**2*r wrt a.\nAnswer: 82314*b**2*r + 24*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -20*(-2)\/4*99\/22. Let o = 47 - d. Suppose -o*s = -4*s + 8. Solve -2*a - 2 = s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 357 - 178 + 19*p**2 - 179.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -15 + -1 + 40 - -11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a. Let d(j) = 377*j. Calculate d(k(i)).\nAnswer: 754*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f*f**(-7)*f**(-4\/3)*(f**(-2\/25))**(-4) assuming f is positive.\nAnswer: f**(-451\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204328 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -138, -459, -1084, -2115, -3654, -5803, -8664?\nAnswer: -12339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 6*z - 8, 4*a + 183 = z + 167. Let n(g) = -g**2 - 3*g - 13. Let c(y) = y. Let w(l) = 3*c(l) + n(l). Calculate w(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - 0.2. Let u be 2\/(-16)*(-11 - -9). What is the nearest to i in u, -3, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 214676669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s**2 - 4*s + 4*s)*(-3 - 3 - 1) as d*s + a + w*s**2 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 PM and 7:59 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + sqrt(588)*-2 + sqrt(12))\/(-2*sqrt(384)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1597 is divided by 652?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 - 3)*(-2*u + 3*u - 3*u + (-1 + 1 + 1)*(u + 0*u + 0*u)) - 2 + 2 + 2*u + (3*u - 5*u + 4*u)*(2 - 8 + 0) to the form n + h*u and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29440.808876 + -1.\nAnswer: 29439.808876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1710.860217 rounded to the nearest 10?\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -412 (base 14) to base 12\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**3 - w**3 + 4*w**3)*(-5 - 3 + 3)*(-76 + 76 + 8*w).\nAnswer: -120*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/980 and 151\/3234.\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.64 + -1.26. Let t = r + 3.9. Let h = 13\/70 - -1\/10. What is the nearest to -2 in t, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3\/3 - 11116*o**2.\nAnswer: -4*o**2*(o + 8337)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 14*b + 2. Let n be z(-14). Suppose -4*x + n*x = 10. Let a be ((-2)\/(-25))\/((-86)\/430). What is the nearest to a in -1, x, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*p + 95*p - 70 = 11*l + 134*p, -l + 4 = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 148, 285, 422, 559?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/19?  (a) -1\/8  (b) -0.5  (c) -1  (d) 40.1  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 134 - 146. What are the prime factors of (-8862)\/(-28)*(2 + w\/9)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.2372272 kilometers?\nAnswer: 237227.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 22 = 4*u. What is the highest common factor of u and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**2 + 92*r - 180. What is v(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from knnnnjvnj. What is prob of sequence nk?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 61. Let c = k + -3. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**2 + 3*j + 5. Let c = -7 - -3. Let a(d) = 2*d**2 - 4*d - 6. Suppose 2*w = -120 - 84. Let v be w\/24 - (-6)\/(-8). Calculate c*a(k) + v*g(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/2 - 0 - (-445)\/10. Calculate the highest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11013594 and 19899?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3 = 2. Let i(d) = 3*d + 1. Let l be i(m). What is the units digit of (-4)\/(-2) + l - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fllf when four letters picked without replacement from {l: 11, f: 3, j: 1}?\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + -1)*(12 + 2). Suppose y = -4*h - 19, 4*y + 5 = -2*h - 1. Let q be (9*2 - y) + -3. What is the greatest common factor of q and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -49\/366 + 116\/183. Put -20.2, 5, -5, l in descending order.\nAnswer: 5, l, -5, -20.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 9*t - 2*t**2 + 2 - 9*t to the form d*t**2 + w*t + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 7*g. Let v(o) = o**2 - 2*o + 1. Let q be v(2). Let t = q + -8. Suppose 4*i = -0*i + 8. Let j(h) = 2*h. Give i*d(k) + t*j(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-14) + 47\/7. Let h be 97 + 7\/(14\/(-6)). Suppose -4*s = 2*j - h, -4*j + 8*s = 3*s - 201. Calculate the greatest common factor of j and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + i**2 - 2*i + 2. Let d(p) = -2*p**3 + 4*p**2 + 5*p + 2. Let c(k) = -d(k) - q(k). What is c(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 8:54 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3890 + 2982 = 8*i. Suppose 0 = 11*c - i + 12. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 4*f**2 - f + 1. Let t be m(-3). Let a(i) = -7*i**2 - 17*i**3 + 7933 - 20*i**3 - 7939 - 10*i**3 + 46*i**3 - 6*i. Calculate a(t).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of 5*p**4\/24 + 4*p**3\/3 - 2*p**2. Is q(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4489*f**2 - f + f - 4483*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3985 + 52?\nAnswer: -3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 58225*q. Let g(p) = -20*p. Calculate g(f(y)).\nAnswer: -1164500*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3437564451 to the power of 1\/3, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 15*t + 209. Let s be v(11). Suppose x - s = -d, -3*x + 2*d + 1536 = 439. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -60 + 64. Solve -n - s = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 50, 331 in descending order.\nAnswer: 331, 50, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of v**7\/840 - v**6\/480 - 3*v**5\/80 - 11*v**4\/96 - v**3\/6 + 102*v**2. Factor p(r).\nAnswer: (r - 4)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-seven quarters of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -z**5\/20 - 3*z**4\/4 + 7*z**3\/2 - 3*z**2 + 54*z. Determine a so that m(a) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3440*b + 40893 - 131960 = 63733 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 0*n - 4 = -2*n, 4*q + 2*n - 10 = 0. Suppose -q*d = -0*d - 12. Solve 3*v = -4*a - 2, a - d*a = -2*v + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 984816.\nAnswer: 2, 3, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -2 + -9 + (3 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9088 + 27266\/3. Which is the nearest to -0.03?  (a) -0.1  (b) -3  (c) 3  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -521 in -2\/381, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91704960 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 2. Let a(o) = -2*o**3 + 51*o**2 + 72*o + 246. Let q be a(27). Sort x, -1, q in increasing order.\nAnswer: x, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of z**6\/120 + z**5\/30 - z**4\/24 - 3*z**3\/2 - 3*z**2 - 1491*z + 2. Determine u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -636.52 rounded to the nearest 10?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 119, 126, 147, 188, 255, 354, 491, 672?\n\"Answer: w**3 + w**2 - 3*w + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 2*k - 12. Suppose 5*n = k*a + n - 8, -2*a = 5*n - 36. Is 3*5 + (a - 8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 39 and 1008?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3449?\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uiuu when four letters picked without replacement from uibbibbuiuieiiuebb?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4942*c + 4941*c - 9*c**2 - 1 - 6 in the form j*c**2 + p + z*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/1289?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of 2*j**7\/105 - j**5\/5 + j**4\/3 - 3*j**2. Suppose r(x) = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p - 29*p + 27*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 + 124 = 27*k. Let q = 25 + -29. Put k, -32, q in increasing order.\nAnswer: -32, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, 0.02, -2, 19 in descending order.\nAnswer: 19, 0.02, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1792 and -2.1?\nAnswer: 3763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15494148647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-30))\/(17\/(-102)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*v - 16, 9*m + 15*v - 10*v = 38. Sort 3, -11, -17, -4, m in ascending order.\nAnswer: -17, -11, -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -2  (b) -14  (c) -1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 189 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/13)\/((46\/6 - 1)*(-33)\/(-88))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*x + 96*x**4 + 114 - 113 - 18*x wrt x.\nAnswer: 1152*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -495685 - -7927665\/16. Let r = -206 - z. Let n be ((-4)\/(-2))\/((-4)\/2 - 2). Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 2, 29, -2, -0.4, -3 in increasing order.\nAnswer: -22, -3, -2, -0.4, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((6925818\/(-1016))\/(-183))\/((3\/4)\/(-3))\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cg when two letters picked without replacement from ggggccc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1359 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21969481?\nAnswer: 41, 157, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 4*j + 45 = 0. Suppose 11*n - 2 = 7*n - 2*h, 2*n - 19 = j*h. Solve 0 = -0*r + n*r - 10, 2*r - 22 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, e: 1, w: 2, j: 1}. Give prob of sequence wc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.39 + 0.4. Let h = g - -0.39. Which is the second biggest value?  (a) 1\/7  (b) h  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -31  (b) -7  (c) 0.1  (d) 0.35  (e) -2\/7  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*o**6 - 10*o**5 - 2*o**4 + 3113*o**2 + o + 8 wrt o?\nAnswer: -1200*o**3 - 600*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4609, 4441, 4267, 4087?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -8*m - 1. Let x be j(-2). Let i(z) = -z**3 + 15*z**2 + 3. Let t be i(x). Solve t*n - 9 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i*i\/(i\/(i*i\/i**(-2\/33)*i*i)))*(i\/(i\/(i*((i*i\/(i*i**(6\/7)))\/i)\/i*i)))\/i assuming i is positive.\nAnswer: i**(-1136\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12671 + -9624. Calculate the greatest common factor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 - 7*h**2 - 19 in the form s*h**2 + j*h + a and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 181*v**2. Let q(c) = c**2 + 183. Determine q(j(g)).\nAnswer: 32761*g**4 + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*h + 81*h + 21*h + 0*h to the form y + d*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -18*i**2 - 12*i - 12. Let o(g) = 8*g**2 + 6*g + 6. Let v(a) = -13*o(a) - 6*p(a). Let c be v(-1). Solve -3*q + 14 = -0*q - c*k, 3*q = 2*k + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -54\/25847 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-nine quarters of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, x: 2, s: 4, t: 2, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42060403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4089837596 to the nearest 1000000.\nAnswer: 4090000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 3*l + l)*((-l - 2*l + l)*(-6 + 1 + 4) - 6*l + 3*l - l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -704  (b) 1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 3) + -2 + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -14*(1 - (-10)\/(-4)). Let q(g) = g - 2. Let o be q(4). Suppose o*u - 1 = p. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 62.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + (1 + sqrt(125))*-3*6 + -5*(5 + sqrt(125)*-1 + sqrt(125)) + -4)**2.\nAnswer: 9360*sqrt(5) + 43204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 - (-50 - 28) - (0 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c - 5*c - 179*c**2 + 0*c + 659*c**2.\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3673 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15530894?\nAnswer: 2, 17, 456791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1868238 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 485 a factor of 96030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2635 divide 68098940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 339483995\/18 - 18846871. Let n = 13345 - c. What is the common denominator of n and 1\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 58 = -5*i, 4*h - h - 3*i = 42. Suppose 46 = 3*x - 95. Calculate the remainder when x is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -987, -3993, -9001, -16005, -24999, -35977, -48933, -63861?\n\"Answer: u**3 - 1007*u**2 + 8*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from aaaemaazaazaaanzqa.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - w = -3*f + 6, -3*f = 4*w - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -n**8\/840 - 23*n**7\/525 - 59*n**6\/100 - 171*n**5\/50 - 81*n**4\/10 + 2*n**2 - 970. Find p, given that t(p) = 0.\nAnswer: -9, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2003 divided by -14?\nAnswer: 2003\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.9 - 3.9. Let k = f - 2.9978. What is k rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/4 - (-1)\/2. Let n = p - -1. Suppose y = -n*y + 24. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 509 - 519. Put 5, 3, 0, f in descending order.\nAnswer: 5, 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (173\/519)\/((-11)\/(-165)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005514 rounded to six dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-4) - 7\/4. Let k = w + 6. Suppose -f + 8 = 2*j, j - k*f = -2*j + 12. Solve -2*y - t = -j, -3*t - 9 = -3*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6382 rounded to 2 decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 85113 and 15440?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84160.5nm to millimeters.\nAnswer: 0.0841605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vfqavq. Give prob of sequence vqvf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 546867801.\nAnswer: 3, 229, 241, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 2*h = 10*s - 1, 4*h = 5*s + 111 - 128 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - b**2 + b + 3. What is the remainder when 4*4\/(-20)*-10 is divided by y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -230 + 314. Let u = m + -83.5. What is the nearest to -1 in 1, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-180)\/1500 - (-40550)\/(-625)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-45))\/((-2)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 5 - 25)*(3*x - 5*x + 3*x)*(-2260 + 1157 + 1173 + 28*x) to v*x**2 + g*x + f and give g.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 0.2, 0, -2.21, 1\/2, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (6 - 24) + 15 + (0 - -10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 633981?\nAnswer: 3, 17, 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -64*n - 9. Is p(-2) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5\/5 - 18*l**4\/5 - 44*l**3\/5 + 64*l\/5 = 0. Calculate l.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 405 = -30. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 + -16. Let b(c) = c**3 - 6*c**2 - 7*c - 4. Let g be b(j). Let w = -3 - g. Which is greater: w or 2\/23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*m + 2*p = 264 - 92, 2*p = 3*m - 20 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -140*w + 132 + 261 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (184 - 16 + 68)*((0 - 1 + 3)*(0*m**3 - m**3 - m**3) + (-29*m + 44*m + 33*m)*(m**2 - 4*m**2 + m**2)).\nAnswer: -23600*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -13*a**2. Let d = -220 - -226. Let o(v) = 5 - 16*v**2 + d*v**2 - 3 - 2. What is p(o(z))?\nAnswer: -1300*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 = -9*m + 46*m - 14*m - 18*m, v - 4*m = -149 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 9 = -2*i. Suppose 6 = g - i. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**3 - 2*w**2 + 2*w**2 + (3*w - w + 0*w)*(-3*w**2 + 3*w**2 - 6*w**2).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.5 - -47.5. Let o = -60 + n. Is 0.043 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of n**3\/3 - 2. Let j(g) be the second derivative of -2*g**3\/3 + 6*g. Determine j(q(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-103 - 131 - 157)*(1 - 1 + 1) + 1 - 5 + 0)*(-2*f + 2*f - 2*f**4).\nAnswer: 790*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -52\/43 - 675\/473. Calculate the common denominator of m and (-94)\/(-132) - 11\/66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + 4 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - x + 2*x**2 + 0*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3 + 2*x + 2 - 3 + 2*x**2. Suppose -3*h - 7 = -4. What is the units digit of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 + 39. What is the smallest value in 1, 0.1, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 40*s**3 - 11*s**3 + 7*s**3 - 5*s**3 + s**3 + 3*s**3 + s**3 + s**3 + 0*s**3 + (s + 0*s - 3*s)*(-3*s**2 + 2*s**2 + 2*s**2) + 0*s**3 - 2*s**3 + s**3.\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 85.93395 centuries?\nAnswer: 8593.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 2:30 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 30 = -4*v. Suppose 0*p - 629 = -v*p - f, p - 137 = -3*f. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1020202202 (base 3) to base 11\nAnswer: 1754a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 + 7038*f**2 - 2*f - 6. Let v(h) = -14*h**3 + 49267*h**2 - 15*h - 45. What is -15*l(m) + 2*v(m)?\nAnswer: 2*m**3 - 7036*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qeqqqqqeq. What is prob of sequence eeq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41629.6 millilitres to litres.\nAnswer: 41.6296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - n - n - 5*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86193, 172377, 258551, 344709, 430845?\nAnswer: 516953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 2:12 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - -3 - -3)*((-80)\/30 - 280\/(-96))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 136901198, 273802398, 410703598, 547604798, 684505998, 821407198?\n\"Answer: 136901200*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -22716600 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -234 - 31 + 2*j**2 - 856 + 36*j - 3*j**2 - 532*j with respect to j.\nAnswer: -2*j - 496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 + 6*x**2 - 6*x + 7. Suppose -1951*b + 0 = -1965*b - 98. Determine z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(480)\/sqrt(6) - (-4 + sqrt(10)\/sqrt(2))).\nAnswer: 8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.07 or -4\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2670677*f**3*y**2 - 3*f**3*y - 22*f**3 - 6415*f**2*y - 2 wrt y?\nAnswer: -5341354*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -16*b + 33. Solve 11 = 3*n + 4*m, 3*n - b*m = 30 - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-4)*l*l**(-2\/7))\/(l**(1\/6)*l**(1\/2))*((l**(-1))**(-20))**(2\/3) assuming l is positive.\nAnswer: l**(386\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 35980*w. Let r(x) = 9*x. Give r(c(m)).\nAnswer: 323820*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from ddkflkkdfkkkfkkkkll.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*v**3 - 3*v**3 + 14*v**3.\nAnswer: 31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3*(-8)\/(-36))\/(6\/(-18)). Solve -r - 18 = 4*s, 5*r - z*r = 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1906682.\nAnswer: 2, 953341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10067 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + -6 + 9 - -36) + -36 + 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 438493379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3616730, -3616729, -3616728, -3616727?\n\"Answer: w - 3616731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14*1\/(-168) + (-10)\/(-72)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - k - 3, -p - 5 = 4*k + 7. Let j(b) = -10*b + 6*b + p*b + b**2 - 4 - 2. Let z be j(6). Solve z = m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-142326)\/9)\/((-4)\/6). Let l = c - 664261\/28. What is the common denominator of -91\/10 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 1:17 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27716 is divided by 334?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 298*i - 23 = -296*i, -3*j - 10 = i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 0*i**2 - 7\/6*i**4 + 0 + 5\/3*i**3 - 5*i. What is the second derivative of p(c) wrt c?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-3)*(-24)\/56)\/(216\/(-252))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12844341 and 90.\nAnswer: 128443410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-282)\/1410)\/(2\/130).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 + 108. Let u = b + -76. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 117326434.3784 and 0.\nAnswer: 117326434.3784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-32)\/40 + 0)*(-55)\/2. Suppose -2*n = -16 + s. Suppose m = -3*h - 2*m + 9, 2*h + 24 = 4*m. Is n at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7242304 is divided by 379.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(85) + sqrt(85)*-2*-5)\/(sqrt(5) - ((sqrt(5) + -1*sqrt(5))*6 - sqrt(5))) - (4 + -3 + sqrt(1700)*-1 + 5))**2.\nAnswer: -54*sqrt(17) + 1521\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 531565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, x: 14}. Give prob of sequence xv.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.351 in 2\/7, -2, -3, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c - 4*c - 11 + 11.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + -23. Let b = r - -45. Solve 6 = b*f - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2572846, -5145721, -7718596?\n\"Answer: -2572875*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 476268 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 25, 4, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13849\/1846 + -2\/923. Suppose 0 = 4*l + 3 - 11. Suppose -7 = l*m - 3*m. Are d and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.95 + -0.05. Let l = n + 5. Do 2 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(175)*3 + 5 + sqrt(175)))**2 + ((4 + sqrt(175) - sqrt(175))*1)**2 + 2 + 3)*4.\nAnswer: 800*sqrt(7) + 11384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 92*f**2*r - 8*f**2*w + 69*f**2 - 733*f*r*w + 7*f*r - 2525*w wrt r?\nAnswer: 92*f**2 - 733*f*w + 7*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lxib when four letters picked without replacement from bxlmomilximxlll?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12413 - 50595\/4. Let s = -236 - i. Let v = 0.6 + -1.4. Which is the closest to v?  (a) s  (b) 0.5  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*v + 7 = -42*v + 5*u, 5*v + 5*u = 0. Which is the nearest to -1\/4?  (a) v  (b) 3\/5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - (-1 + 5)*1. Let k = 1 - b. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4287243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 126315 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -65*r**3 + 7594*r**2 + 1268*r + 2230. Calculate k(117).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/243 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 413*s - 3 + 0 + 5*s**2 + 2 + 151*s - 4*s**2 in the form n + y*s + f*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 183319589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 - 82*x**3 + 519*x**2 - 792*x.\nAnswer: -x*(x - 3)**2*(x + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -226, -442, -668, -910, -1174, -1466?\n\"Answer: -j**3 + j**2 - 212*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/4)*(y**(-6\/7)*y)\/y*y**(-2\/13)\/y**(-4\/5) assuming y is positive.\nAnswer: y**(71\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 6. Suppose -331 - 1304 = -f*s. Suppose -y = -6*y + s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1223.27643?\nAnswer: 1221.27643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -209, 5, -1 in increasing order.\nAnswer: -209, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 263861789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44.8 + 27.4. Let u = 70 - v. Let o = u + 0.2. Which is the second smallest value?  (a) -1\/4  (b) 0.3  (c) o  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -1.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*l**2*q**3 - 20995*l**2*q**2 - 24*l*q**3 + 1511*q**3 wrt l.\nAnswer: -6*q**3 - 41990*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79628892 divided by -5687778.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4\/9 + 157342*i**3\/9 - 458447968*i**2 + 36064267745792*i\/9 + 36068393934848\/9.\nAnswer: -2*(i - 26224)**3*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*y + 4*v, -y = -4*v - 5 - 2. Let n be 3*(-4)\/(7 - y). Let d(z) = -z**3 + 5*z**2 + 4*z + 8. Let k be d(6). Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x - 8. Let m be w(-8). Suppose z + m = 3. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 0*m + 13165 = -4*x, -2*x = -2*m + 6560. Suppose 2*z = 3*z + 885. Let c = z - x. Round c to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-128)\/(-1))\/((-161)\/(23506\/292))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 145383 and 747684?\nAnswer: 5233788","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*t = -24 - 15, 2*j + t = -24. Does 12 divide (1 + 0)*(13 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53626187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7694 + 18302 + 215*n - 212*n - 25996.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 67480*i**6 + 100124*i**2 wrt i?\nAnswer: 8097600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.98 + 0.51. Let o = -3.47 - x. Which is the second smallest value?  (a) -1\/2  (b) -2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003629174354 to seven dps.\nAnswer: -0.0000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.62 + 0.52. Which is the nearest to -1?  (a) w  (b) 0.3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from gghhggggg?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 + 14 - 4*y + (-2 + 5 - 13)*(y + 3*y - 5*y) to the form z + x*y and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + 3734*k + 3795*k - 11295*k + 3767*k.\nAnswer: k + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h**2 + 3661777*h + 1920610?\nAnswer: 4*h + 3661777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.21 - 4.79. Which is the nearest to 2?  (a) 2  (b) o  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*s - 1. Suppose y + 22 = 4*j, -j = -3 - s. Is -2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 9*i - 4. Let q be m(-10). Suppose 0 = 2*z - 2*x - 4, 2*z - 4*x - 2 = z. Find the third derivative of -l**6 + 2*l**z - l**2 - l**q wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 183, 138, 71, -12, -105?\n\"Answer: x**3 - 17*x**2 - x + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 10 = z, 49 - 129 = -5*z + 5*w. Suppose 45*a + 1617 = 1797. What is the smallest common multiple of a and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -55220*b + 60563 wrt b?\nAnswer: -55220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (4 - 0) - (14 - 11)) + 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26 + 5*r**2 - 36*r**2 - 18 + 3*r + 20*r - r**3 + 45 to n + a*r**2 + x*r**3 + o*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 6*r**2 - 3*r. Let m be q(7). Let n = m + 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 351 - 5206656?\nAnswer: -5206305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9)\/(sqrt(9)\/sqrt(3)) + 1)**2*4.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2110129 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + -1.5. Let i = 0.48 + -0.48. Let t be (-4)\/18 - (-26)\/(-18). Which is the nearest to i?  (a) 3\/8  (b) t  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -3*d**2\/5 + 135*d + 678\/5 = 0?\nAnswer: -1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2*z - 8 = -3*z, -2*x + 4 = 5*z. Suppose 0*p + x*p - 24 = r, -43 = 2*r - 3*p. Let g = r - -30. Solve g = 4*d + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6968 = 10122*o - 10390*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from {c: 3, n: 8, l: 1, g: 6}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 10:19 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 1908 = 6*u. Let c be u - ((4 - 3) + -2). Find the second derivative of -c*x + 0 + 311*x + 0 - 10*x**5 wrt x.\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 4 - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2583516*s**3 - 425351*s**2 + 2 wrt s?\nAnswer: -15501096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 divided by 4915722?\nAnswer: -61\/4915722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -109 less than -567920\/5219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 256 + -252. What is the common denominator of 4823\/(-624)*l\/(-14) and -55\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3*i**3 - 31*i**2 - 6*i - 161. Let j be m(11). Let y(d) = d**3 - 16*d**2 + 10*d + 22. Calculate y(j).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + ((sqrt(3) + -1)*-5)**2 + (-6*sqrt(12))**2 + (2*(0 + sqrt(192)))**2.\nAnswer: -49*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence quhz when four letters picked without replacement from zmmhuumfuummfmq?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 62935.2702 rounded to the nearest one thousand?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19601 - -19603. Solve -o + l*z = 4 - 6, -5*o + 19 = -z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 212412 in ascending order.\nAnswer: -1, 5, 212412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (191\/(-1))\/(-4 - (-7)\/2). Suppose 0 = -3*p + 152 + f. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1239)\/(-35))\/3 - 12\/15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1711725969?\nAnswer: 3, 877, 650599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -177*p + 1523. List the prime factors of d(-94).\nAnswer: 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 62 = 14. Let o(c) = 7*c**3 + 5*c**2 + 7*c - 9. Let r(l) = -11*l**3 - 8*l**2 - 11*l + 14. Determine w*o(i) + 5*r(i).\nAnswer: i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of 0*n**3 + 0 - 13\/24*n**4 + 0*n + 39*n**2. Let j(x) = -6*x. Calculate m(j(h)).\nAnswer: 78*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) 10  (c) 5  (d) 23  (e) -1\/6  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 3, 0.2, 0.03, -2\/5 in decreasing order.\nAnswer: 3, 1\/2, 0.2, 0.03, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*w - 14*w + 4. Solve -5*d + w*d + 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -982, -3935, -8856, -15745, -24602, -35427, -48220?\nAnswer: -62981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -98 + 97.6. Which is the smallest value?  (a) 8  (b) -8  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5, 8, 37, 82?\n\"Answer: 8*a**2 - 11*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 5*l. Suppose z - 32 = -4*b, 3*b - z - 9 - 8 = 0. What is the remainder when 13 + (2 - (2 + l)) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*f + 2*y, 2*f - y = y + 14. Differentiate 6*w - w + f*w + 10 wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-2 - 3) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/j**1))\/(j**9*j))\/(j**(-3)\/j)**(1\/4) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 379257, 379259, 379261, 379263, 379265, 379267?\n\"Answer: 2*u + 379255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 572 is divided by 181.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 24 = 6*q. Suppose -q*t - 4*j = -84, 2*j = t - 3*j - 39. Let i(d) = d**2 - 13*d - 6. Let a be i(14). Calculate the highest common factor of t and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -689055 divided by -50\nAnswer: 137811\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 515885871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1899747275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 16*p**2 + 18*p + 38. Let v be i(-17). Factor -36 + 3*d**2 + 9 + v*d + 3.\nAnswer: 3*(d - 1)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -220 - 15cb36?\nAnswer: -15cd56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 176 - (20\/5)\/(-1). Let b = -85 - -105. Calculate the greatest common divisor of b and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -1028*a + 1. Let k(s) = s - 31. Let f(t) = 2*t - 31. Let o(n) = 2*f(n) - 2*k(n). Calculate y(o(w)).\nAnswer: -2056*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 6*q + 66. Suppose -2*r = 3*n + 6, -3*n + 4*r = 25 - 37. What is the remainder when 391 is divided by l(n)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 868, 851, 802, 703, 536, 283, -74?\n\"Answer: -3*n**3 + 2*n**2 - 2*n + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2928849.\nAnswer: 3, 7, 11, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 168 - 168 + 905*t**3 - 90*t**3 - 657*t**2 wrt t.\nAnswer: 4890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-100)\/15*15*-15*92\/3450\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o\/o**1)**(-46)\/(o**1\/o)**(3\/20)*(o*o**(4\/5)*o**(-2))**17 assuming o is positive.\nAnswer: o**(-477\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 5*o = 15, 5*g - 73*o + 76*o - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 6*r + 14*r**3 + r**2 - 5*r - 2*r**2 - 1. Suppose -v + 2*v = 1. Is c(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from itiiiiii. What is prob of sequence iit?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 25*g + 552 = 0. Calculate the lowest common multiple of 136 and g.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 8) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-37)\/407)\/(24\/(-48))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4413422 - 21401?\nAnswer: 4342021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3058 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 17 - 8. Solve -k - u + 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5609, 5588, 5567, 5546, 5525, 5504?\n\"Answer: -21*i + 5630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjvma. Give prob of sequence pv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 20 = -0*x, -4*x - 24 = -4*b. Let q be 2\/b*18\/(-3). Let g be ((3010\/(-3))\/(-7))\/(1\/q). Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + q + 3*q**4)*(2*q - 2*q + q) + 273*q**3 - 273*q**3 - q**5.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1524727.5ns in minutes?\nAnswer: 0.000025412125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o. Let p(u) be the third derivative of 7*u**6\/180 - u**3 + 2*u**2. Let w(h) be the first derivative of p(h). What is n(w(j))?\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-2 - 1 - -2) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x - 10. Give j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1987*z - 5628 = -956*z - 947*z for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73420?\nAnswer: 2, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 122, 283, 500, 767, 1078, 1427?\nAnswer: 1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 13, -2004162 in descending order.\nAnswer: 17, 13, -2004162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1103746 - -5?\nAnswer: -1103741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a - 2. Suppose 46*p = -285 - 1509. Let u be 4\/(-3) - 169\/p. Let s(l) = l - 3. What is u*k(o) - 4*s(o)?\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-14)\/z*z*z**(-1\/3) assuming z is positive.\nAnswer: z**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -136*g**2\/7 + 1654*g\/7 - 1738\/7.\nAnswer: -2*(g - 11)*(68*g - 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13711 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 6*s**2 + s + 1. Suppose -22 = -5*o - 2, 0 = -5*t + o - 9. What is c(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49527 - 49381.077. Let o = b - 146. Round o to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x + 3. Let r(u) = -6*u + 78. Let z be r(9). Suppose -3*i - z = 5*w, -i + 16 + 4 = -3*w. Give q(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 - 6741*c\/8 - 6749\/8.\nAnswer: (c + 1)*(8*c - 6749)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 698, 7671, 26590, 63425, 124146?\nAnswer: 214723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/30)\/(-12*(-12)\/360)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*g = -60. Let j be (-2)\/(g\/9 + -2). Solve -j*h + 2 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 0 + 3*d**2 + 1\/30*d**5 + 0*d**3 + 0*d - 1\/6*d**4. What is the second derivative of x(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1739 and 423.\nAnswer: 15651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 40250778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 970636.4ml?\nAnswer: 970.6364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 256 and 16?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 336561 (base 10) to base 12.\nAnswer: 142929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-60*q**2 + 75*q**2 + 1160*q**2)*((-3 + 2 + 3)*(-q + 3*q - 3*q) - 3 - 5*q + 3) in the form n*q**2 + b + d*q**3 + z*q and give d.\nAnswer: -8225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 222757 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2603 - 1318 - 1285 + 9*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from bttbttttt?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1847737, -3695430, -5543123, -7390816?\n\"Answer: -1847693*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 34, 71, 114, 169, 242, 339?\n\"Answer: t**3 - 3*t**2 + 39*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1769 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, e: 5, y: 1, u: 1, q: 5}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.4  (b) -0.1  (c) 0.33  (d) 22\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4443*j + 6667*j - 6 + 4 - 2953*j + 4 to the form o*j + v and give o.\nAnswer: 8157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122, -153, -2, 421, 1206?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - q = 4*q - 16, -2*b = -5*q + 19. Let s be (-7)\/b*-5*6. Is -1 - s\/((-6)\/3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.20795?  (a) 4  (b) 0.4  (c) -0.3  (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.98 + -0.02. Let a = 0 + l. Let x = 3 + -3.5. Sort x, a, 1.\nAnswer: a, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 0*a**3 + a**3 + 2 + 3*a**2 - 2*a + 0*a. Let t be g(-3). Suppose 5*p - 6*f - 366 = -3*f, -f = 2. What is the highest common factor of t and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 12:11 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11080 - -6825263\/616. Find the common denominator of w and 79\/1540.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = 3*s + 2, -104 = -s - 5*u - 78 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -176, -329, -492, -671, -872, -1101, -1364?\n\"Answer: -o**3 + o**2 - 149*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.462307 millimeters in centimeters?\nAnswer: 0.5462307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 214146427 to the nearest integer?\nAnswer: 14634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 * -2.4\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 620*m**2 + 3702*m - 118. What is h(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/(-1) + 21\/8 and 11\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46124123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t. Let l(f) = -f**2 + 7*f + 1. Let h be l(6). Suppose -h*u + 2*u = -20. Let i(n) = -n**2 + 4*n - u*n. Calculate i(z(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3843, 7686, 11529, 15372?\n\"Answer: 3843*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(425) + sqrt(425) + sqrt(425) + 2)**2 - (2*sqrt(425) + 5 + sqrt(425)) - -4*(1 + (sqrt(68)\/sqrt(4))**2*2)) + -1.\nAnswer: -105*sqrt(17) + 3968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -4481?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -358, -1440, -3244, -5770, -9018, -12988, -17680?\nAnswer: -23094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of 49\/3*m**3 + 0*m**2 - 148 + 0*m**4 + 0*m**5 + 0*m + 26*m**6. What is the third derivative of d(t) wrt t?\nAnswer: 9360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2371, -4634, -6899, -9166, -11435?\nAnswer: -13706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/5 - 41066*u\/5 + 421604089\/5.\nAnswer: (u - 20533)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f**3 - 5*f**2 + 3*f + 1. Let h be i(1). Suppose -5*m + 3*j + 5224 = 0, -h*j + 1 + 3 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 1:52 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12935935 is divided by 84?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 13) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 - 2*a + 2. Let v(g) = 71*g - 51. Let o(h) = -64*h + 46. Let y(u) = -10*o(u) - 9*v(u). Calculate -3*b(p) - 4*y(p).\nAnswer: 3*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-7)\/2)\/(4\/(-16)). Calculate the common denominator of -41\/8 and 1\/(-4) - 58\/(-80)*r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1966 + 5198. List the prime factors of m.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 5*f**3 + 9*f**2 + 6*f - 11. Let q = -172 + 182. Suppose q = -3*y - 23. Let k(b) = b**3 + 2*b**2 + b - 2. What is y*k(m) + 2*i(m)?\nAnswer: -m**3 - 4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17302 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (8 + (23 - 17)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -4*t**3 + 188380*t**2 - 28189500*t + 1056262500 = 0.\nAnswer: 75, 46945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3\/2, -12, 1.4, -6828\/13 in increasing order.\nAnswer: -6828\/13, -12, -3\/2, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*-5*(-4)\/40. Suppose y = -l - 3*l. Solve l = -2*p + 4*t + 16, 2*p + 10 = -4*t - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1102130223 (base 5) to base 6.\nAnswer: -123002451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 t, and 2 e when four letters picked without replacement from {e: 4, t: 4, f: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -4*t**3 + t + 1. Let q(o) = -1. What is -2*q(z) - w(z)?\nAnswer: 4*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 611*b - 1331*b - 244*b - 1680*b.\nAnswer: -2644*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12258*o**5*x + 239*o**5 - 2*o*x + 174*x - 4741 wrt o.\nAnswer: -245160*o**3*x + 4780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -5*i + 1. Let s(n) = -n + 7. Let k be s(8). Let d be w(k). Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 147 = p + p, 0 = -2*r - 6. Let j = p - -98. Solve d = -4*f - 19, 0 = 2*d - 0*d - 3*f - j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -1. Let r(d) = -3*d**2 - 4. Let s be (-1)\/(-4) + (-2830)\/(-40). Let l = -72 + s. Determine l*r(n) + 4*m(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000032871914 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -8a (base 16) to base 11\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1392155, -1392159, -1392165, -1392173, -1392183, -1392195, -1392209?\n\"Answer: -p**2 - p - 1392153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.4 + 4.4. Let n = -1514.2 - -1511.1956. Let o = n + u. What is o rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-60)*(-1008)\/756*(-3)\/2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*g**2 + 9339 + 46*g**4 - 76*g**2 - 9486 in the form v*g + f*g**3 + s*g**4 + n*g**2 + t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 862 and 22?\nAnswer: 9482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23565*x = -23565*x + 5*b - 20, 0 = -2*x - 4*b + 28 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65303673 and 1737.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48 + 9*o**5 + 48)*((-2 + 0 - 1)*(-2 + 6 - 2)*(0 - 1 - 2) + (-1 - 2 + 2)*(3 + 0 - 5)).\nAnswer: 180*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114253983 = 6*b - 108346017. What is b rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2120302110 (base 4) to base 12\nAnswer: -2621b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011 (base 3) to base 12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/4 - 4783*a**2\/4 + 9554*a - 19100.\nAnswer: (a - 4775)*(a - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5125914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-279 + 279 - 20*j**2 + j)*(54*j**3 + 16*j**3 + 74*j**3).\nAnswer: -2880*j**5 + 144*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2 + 18*k - 21. Calculate h(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318 is divided by 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00318411 to five dps.\nAnswer: 0.00318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00008872 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(65)*-1 + sqrt(65))*6 + sqrt(65))\/(-5*-1*sqrt(5)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 1:53 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -136*x + 1091 + 1667 - 446. Put x, -0.3, 26 in decreasing order.\nAnswer: 26, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*s + 226 = 57*s - 206 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 286, -0.5, -3\/7, -0.12 in ascending order.\nAnswer: -0.5, -3\/7, -0.12, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 - 7*b - 7. Suppose -g - 2*r - 7 = 0, 3*r - 6*r - 3 = 0. What is the units digit of u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3617620459 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -24\/11975 and -19\/88615.\nAnswer: 443075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1675919712 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 19383606 not equal to 19383606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46482066 to the nearest integer?\nAnswer: 6818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -4, -2\/9, 3\/28, -2?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of 65*k**4\/12 - k**3\/2 + 10*k**2. Let l be a(16). Suppose -41 = 4*f - l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4\/5 - 6*c**3\/5 + 12*c**2\/5 + 16*c\/5.\nAnswer: -2*c*(c - 2)*(c + 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 24, -4, 2, 3\/43, 1, -3, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1378258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 7*h - 432 = 0. Suppose -7*t + h = -t. Differentiate -t + d - 5*d + 4 - 15 wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-1)*(-2331)\/222.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of -1\/90*w**6 + 0*w**3 + 0 + 1\/18*w**4 - 3*w - 1\/6*w**2 + 0*w**5. Suppose q(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b, z - 4*b + b - 637 = 0. Suppose -618 - 21 = -4*d + 3*l, -4*d + z = -l. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*5*sqrt(176) - 3*(sqrt(132)\/sqrt(3))**2)*5.\nAnswer: -600*sqrt(11) - 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/40)\/((324\/(-30))\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -150*u + 411*u + 204*u + (-7 - 2*u + 7)*(-2 + 1 - 1) + 2*u - 1 + 1 + (0 + 5 - 3)*(-5*u + 4*u + 3*u) + 2*u - 4*u + 3*u + 1 - 1 - 2*u.\nAnswer: 474*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 102 = -2*q + 2*m, 4*m = 4*q - 228. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -367*t**3 - 7*t**2 - 1538*t + 47?\nAnswer: -2202*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 60506.825 to the nearest ten.\nAnswer: 60510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 5:30 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 2 - 9 = 4*g, -z = -5*g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6059 - 1761 = 213*l - 578 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 23 - 20 + 13 - 19*q in the form o*q + z and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 10373080 and 2.3896.\nAnswer: 10373082.3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h**4 - 4*h**3 + 7. Let y(k) = k**4 + k**3. Let p(v) = q(v) + 4*y(v). Differentiate p(o) with respect to o.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5286.6 rounded to the nearest 10?\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 25 + 12 + 23. What is the least common multiple of m and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7898574ml to litres.\nAnswer: 0.0007898574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 14*x + 14. Let t(w) = 5*w + 5. Suppose 14 = a - 5*q, 2*a + q + 28 = 1. Let c(d) = -d**2 + 7*d + 4. Let y be c(7). Calculate a*t(n) + y*u(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -5*sqrt(1764)\/sqrt(12).\nAnswer: -35*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -37 - 1) + -34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(5\/7)\/(i\/(i*i\/i**(-2\/11)*i)))\/((i\/i**(1\/6))\/(i\/(i*i**(-17)\/i*i*i))) assuming i is positive.\nAnswer: i**(8345\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25\/4 - 51\/8. Let q be (30\/28)\/1*336\/288. Is r >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 + 1603456737237.\nAnswer: 1603456737236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 7*f**2 + 2*f - 6. Let j be z(-6). Let o = j + -20. Let c = -24 + 27. What is the biggest value in o, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(9\/11)*z\/z**(-1\/9)*z)\/(z**(-5))**(2\/5) assuming z is positive.\nAnswer: z**(587\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*b**4 - 8*b**4 - 10*b**4 - 528*b**2 - 115*b**3 wrt b.\nAnswer: 24*b - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + 3*-2*sqrt(432))))) + 1 + 0 + sqrt(432) + sqrt(432) + sqrt(432)*4*5 + -2 + 4)**2.\nAnswer: 1152*sqrt(3) + 110601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -61, -94?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1053 + 106266?\nAnswer: 110352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 140221565 (base 7) to base 5\nAnswer: 4312114044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24689958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 5*y**2 + 1. Let a = -87 - -89. Let l(f) = -4*f**2 - 1. Calculate a*g(p) + 3*l(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -209, -413, -615, -815, -1013?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, l: 1, i: 2, c: 4}. What is prob of picking 1 c, 1 u, and 2 i?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/5  (b) 34029  (c) 0.5  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + x**2 - 1652*x + 0*x**2 + 1639*x in the form w*x**2 + y + a*x and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 11*r - 15*r - 14*r + 9 - 32.\nAnswer: -18*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 42.44\nAnswer: -42.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9 - 1. Let r = -0.1 + u. Suppose 19*s - 15*s = 0, -4*d + s = -0*d. What is the third smallest value in d, -5, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.02 + -0.02. Let u = h + -2. Let r = 0.76 + -4.76. Which is the second biggest value?  (a) -2\/13  (b) r  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 18 = -4*d, -1 = n - 3. Let j = 51 - 32. What is the third derivative of -6*b**2 + b**d + j*b - 19*b wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0462 times 63020\nAnswer: -2911.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 20 = 0, r + 2*r - o = 353. What is the hundreds digit of (-6 - r\/(-14))*242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 186 + -341. What are the prime factors of (-20)\/90 + d\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -23*w + 17*w + 8*w**2 + 4 + 10. Suppose -3*y + 11 = -2*y. Let n(m) = -3*m**2 + 2*m - 5. Determine y*n(f) + 4*a(f).\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 9.8. Let g = 0.8 - h. Let j = -3 - 2. Put -3\/5, j, g in increasing order.\nAnswer: j, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 5*j + 308 = -h, -5*h + 464 = -4*j. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2 + 3928*v - 15648.\nAnswer: -4*(v - 978)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/7, 1\/8, -17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(32) + 1 + sqrt(32))*2 - (-1*(sqrt(128) + -1))**2) + 1)*-4.\nAnswer: -128*sqrt(2) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -57.3804\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -1122062*a - 1122085. Give g(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of j**6\/720 - j**4\/8 - j**2. Let k(o) be the second derivative of m(o). What is the remainder when 18 is divided by k(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1254201 = 241*w - 280*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1172 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(6\/5))\/t)\/t**11*(t\/((t*t**4)\/t))**(-10\/9) assuming t is positive.\nAnswer: t**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**3 - 46*z**2 - 86*z - 86. Let o(q) = q**3 - 22*q**2 - 43*q - 43. Let a(f) = 2*h(f) - 5*o(f). What are the prime factors of a(20)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -21.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*g - 3 = -v, -5*g = -v + 5. Let u(x) = x**2 + 2*x + 2. Let k be u(g). Does 16 divide 254\/4 + 1\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2192 + 2177. Let c = -3 + 5. What is the fourth smallest value in -0.5, -2\/11, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 5, -2 in increasing order.\nAnswer: -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/43392 and 57\/1371368?\nAnswer: 65825664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 391155124 to the power of 1\/2, to the nearest integer?\nAnswer: 19778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2583*a**2 - 128*a**2 - 93*a**2 - 204*a + 0*a wrt a?\nAnswer: 4724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 10215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**4 - 24150*a**3 - 29064365*a**2 + 233675400*a - 468124880.\nAnswer: -5*(a - 4)**2*(a + 2419)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7261 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17754\/2557 or 6?\nAnswer: 17754\/2557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1079307661?\nAnswer: 1079307661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -3*v**2\/2 - 10. Let a(o) = -8*o. Determine a(c(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 47*w + 84. Let y be a(12). Suppose 4*d = 5*r + 1296, -2*d = -0*d - 3*r - y. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60031594 to the power of 1\/2, to the nearest integer?\nAnswer: 7748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v. Let t(o) = 28*o**2 - 7*o + 14. Let r(q) = q**2 + q - 2. Let m(n) = -7*r(n) - t(n). Calculate s(m(j)).\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.274318ml?\nAnswer: 0.000274318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -1  (b) 5  (c) -18  (d) -2\/75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + o**2 - o + 48. Let f be m(0). Suppose 3*r - 6*r + 5*c = -6, 4*r = c - 9. Let t = 3 - r. What is the highest common factor of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = n - 6. Find the second derivative of 5*k**3 + k - 2*k**3 + n*k**3 wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 3*c**2 - c**2)*(c**2 - 2*c + 2*c) - 324 + 16*c**4 + 324 + 2*c**4 - 18*c**2 + 18*c**2.\nAnswer: 19*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154876*b**2 + 146138*b**2 + 5791*b**2 + 212190*b**2.\nAnswer: 518995*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 816*x - 3031. Give d(4).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**3 - d**2 - d. Let o(s) = -7*s**3 - 7*s**2 - 2*s. Let g(n) = 5*o(n) - 20*u(n). Factor g(j).\nAnswer: 5*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30191*k**2 + 4*k - 284 + 30190*k**2 - 197 + k**3 to the form b*k + m*k**3 + z*k**2 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -4 + 0 + (sqrt(252) - (sqrt(252)*-2 + sqrt(252))) + sqrt(252) + ((sqrt(252)*-3*3)**2 + sqrt(252))*3)*2.\nAnswer: 72*sqrt(7) + 122470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 9168*i - 5 + 2 - 9169*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 5:20 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -7*y - 2*b + 642, 0 = -3*y + b + 474. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -12 and 308.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 681 + -684. Which is the biggest value?  (a) 3  (b) k  (c) 4.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2866, -2860, -2840, -2800, -2734, -2636, -2500?\n\"Answer: f**3 + f**2 - 4*f - 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*v - 22401 = -142*v - 2901 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 529831 (base 12) to base 11\nAnswer: 80a546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 10\/14339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (392\/294)\/(35\/(-2415)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3724960 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32210300 + -200?\nAnswer: 32210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1601745 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-108)\/(-24) - 1\/2. Suppose 0 = c + 5*i + 13, -j*i - 2 = -2*c - 7*i. Find x such that 7 - 2*x + x + 4*x**2 - c*x - 3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1332 (base 4) in base 11?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 129*z - 4230. Determine j(-69).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + q - 27. Suppose 125*c = 111*c + 28. Suppose g + c = 0, q*o - 4*o + g = 658. What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0371, 59, -2\/9, 0.17 in decreasing order.\nAnswer: 59, 0.17, 0.0371, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6685.\nAnswer: 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -0.1. Let i be (133\/28 - 2\/8)*24. Let y be 780\/i + 14\/(-2). What is the fourth biggest value in y, a, -0.3, 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*h + 2*h + 20. Let w be (h\/5)\/(6\/165). Let n = 24 - w. Solve -7*p + 14 = -3*p - n*c, -5*p - 4*c = -24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -456231000 rounded to the nearest 1000000?\nAnswer: -456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u - 4. Let l(q) = -4*q + 5. Let o(g) = 5*b(g) + 4*l(g). Let c(p) = -50*p**2. Determine c(o(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d + 163335 - 1746*d**2 - 163333 + 0*d to the form y*d**2 + w + x*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(98)*2 + 5)**2.\nAnswer: 140*sqrt(2) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 917, 3, -2, 5, 22 in descending order.\nAnswer: 917, 22, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) - (-1 + sqrt(189)\/sqrt(3)) - sqrt(63))**2 + sqrt(5103) + -1.\nAnswer: 21*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17405 - 17405.048. Which is the closest to m?  (a) -4\/3  (b) -4  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 469281.8ml?\nAnswer: 469.2818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*f**4*h**2 - 1169*f**2*h**2 + 63*h**2 wrt f.\nAnswer: 8*f**3*h**2 - 2338*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 9:31 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 26088 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/15)\/(12\/(-80))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooddogoooggoodooog. Give prob of picking 1 o and 1 d.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from {k: 1, q: 5, d: 1, n: 4, x: 3, v: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) -0.3  (b) -0.4  (c) 2  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 174136 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 53*c**9\/504 + 16*c**5\/15 + c**2 - 20*c. What is the third derivative of b(o) wrt o?\nAnswer: 6360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 10 = -34. Suppose -4 = -4*o - m + 1, 2*m = -6. Suppose -o + p = 3*z. Solve -3*s - 15 = z*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 23*q + 7. Let w(l) = -3*l**2 + 69*l + 21. Let b(t) = 7*f(t) - 2*w(t). Is b(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n + 3. Let q be a(2). Let s(w) = w**3 - 4*w**2 - 2*w - 10. Let v be s(q). Let g(k) = -1 - v + 5*k + 2 - 4*k. Calculate g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.05 - 0.04. Let h = r + -0.01. Let d be (1\/(-4))\/(14\/(-16)). Which is the nearest to d?  (a) -2  (b) 1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is dc82 - -5142?\nAnswer: 14dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.241755 and 0.4?\nAnswer: -2.096702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 652\/5 - 131. Let t = -10\/2111 + 2141\/6333. Put a, -1, t, 3\/2 in decreasing order.\nAnswer: 3\/2, t, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + -1 - -1) + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 38 and 65854?\nAnswer: 65854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*c**3 + 5*c - 76*c**3 + 83*c**3 - 23*c**3 + 6*c**2.\nAnswer: -56*c**3 + 6*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**4\/12 + 5*z**2 - 7. Let r(j) = -724*j**2. Determine t(r(f)).\nAnswer: -1448*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4*p - 96, 4*p = -g - 1 + 19. Let v = -4 + 39. Let x = v - g. Let l(o) = -o**2 - o + 1. Let m(i) = 4*i**2 + 3*i - 3. Determine x*l(h) - m(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -12. Let b = l - 7. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 + 3 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 2*s - 4. Let v = s + -2. What is the units digit of (v - (1 + -2))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 2\/15  (b) -0.07  (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -24 + -1001?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 67 = b, 4*b + 114 = 16*m - 11*m. What is the greatest common divisor of 341 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 4:46 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/9, 60, 388, 4?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 56 + -22. Suppose 5*t - h = -9. Solve t*u - 6 = -31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 48 - -7?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*h + 161 - 237 = -964 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3 + 6 = 0. Is (-141)\/(-9) - (-2)\/f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-1\/5)*y**(-25) assuming y is positive.\nAnswer: y**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10918 by 2.\nAnswer: 5459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 512216 and 59168.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(14 - 10) - 2. Solve r*p + 0*p + s = 11, -p + 4*s + 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = i + 4*i. Let z be i\/(-9)*-3 - -566. Suppose j + 20 = -4*n - z, -3*j - 1797 = n. What is j rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3 - 4791*c**2 - 38184*c - 76272.\nAnswer: -3*(c + 4)**2*(c + 1589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 10*x**2. Let j(y) = -3*y**3 + 16*y**2 + 9*y + 30. Let n be j(6). Let p(q) be the first derivative of -3\/2*q**2 + 0*q + n. Give p(v(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 282\/18*1 - (-2)\/6. Let p be 2\/(-8) - (-2260)\/s. Calculate the remainder when 28 is divided by (-24)\/108 + p\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, 2, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -13 - 5696*t + 5703*t - 5 - 1. Calculate p(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -17, -92, -217, -392, -617, -892?\n\"Answer: -25*y**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 103.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -782*i + 780*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/3  (b) -1\/97  (c) 0.3  (d) -2\/5  (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**4 + 1650*c**3 + 59040*c**2 + 675070*c + 2102475 = 0. Calculate c.\nAnswer: -291, -17, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*y**2\/13 + 4552744*y\/13 - 647733685298\/13.\nAnswer: -2*(2*y - 569093)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*a - y - 9, 3*y = 4*a - 7. Let v(r) = -2 - 2*r + 3*r - 1 + 0*r. Give v(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3, -3, 0.451?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_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: Let x(k) = k**2 + 5*k - 51. Calculate x(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 14 = -2*f, -5*o + 0*f + 15 = -f. Suppose 1 - o = -q. Let j be (1 + q + -5)*-4. Solve p = -v + 5, -j*v - 3*p - 2*p + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -14626 - 53929. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1840)\/92 + (-5 - 72\/(-4)) - -10. Factor t + 1\/6*n**2 + 3\/2*n.\nAnswer: (n + 3)*(n + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*-21.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 18, 3, 129, 0.\nAnswer: -5, 0, 1, 3, 18, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(9\/(-2913)))\/(-1) - -8. What is the highest common factor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -11*s + 4 + 0 - s**2 + 17*s. Let c(g) = g**2 - 7*g - 5. Let y(r) = 213*r - 1070. Let d be y(5). Give d*v(o) - 4*c(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -32. Suppose 271 - 10 = 9*y. Let c = t + y. Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -225 (base 6) to base 14.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/147 and -4\/79989.\nAnswer: 559923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 110, 225, 340?\n\"Answer: 115*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/12*3*5. Let s = 265 + -275. Let t be 15\/20 - s\/8. Put d, 4, -3, t in descending order.\nAnswer: d, 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of 11*i**7\/42 - 7*i**4\/4 - 4*i. What is the third derivative of b(a) wrt a?\nAnswer: 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + 5*j**2 + 3*j + 6. Let n be q(-4). Suppose -3*z + 5*z - 10 = 0. What is the highest common divisor of n and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21313020 - -11?\nAnswer: -21313003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 4*m**2 - 54*m + 132. Let b be n(3). What is the third smallest value in b, -4, 4, -1, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21\/5 - 3\/5*n**2 - 24\/5*n.\nAnswer: -3*(n + 1)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k**5 - 137514*k**4 + 180357*k wrt k?\nAnswer: -40*k**3 - 1650168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 14*x**2 - 28*x - 13. What is p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 7442417 (base 8) to base 4\nAnswer: 13210110033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1030 + -1?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.1 - -4.8. Let v = -2463 + 2459. What is the fourth smallest value in -1, 10, n, v?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*5*204\/170. Solve 5*x - m = 3*d + 8, 12 = 3*x - 2*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 91. Suppose -p*k - 45 = -95*k. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1327*h + 1343*h - 2671*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 363 - 359. Solve -d + 5*d + 8 = 2*a, -3*a = -g*d - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-6)\/(-10))\/(60\/111700) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of g**6\/120 + g**5\/12 - 5*g**4\/24 + 7*g**3\/6 + 4*g**2. Let k be b(-6). Differentiate 4 + 2*r**2 - 2*r**2 - 2*r**2 + k wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -3*g**2 - 86*g + 316. Give t(-33).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -113*m**4 - m**3 + 7434*m - 3049. Find the first derivative of j(r) wrt r.\nAnswer: -1356*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1\/2))**49\/((o*(o*o**(-1\/2))\/o)\/((o\/o**15*o*o)\/o)) assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (35\/10 + -4)*0. Let u = -8 + 11. Solve -6 = u*r - p*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 6*u + 20. Give v(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65770 divided by 13154.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-20)*-1*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, 2\/15, -11, -0.1, -2\/3 in ascending order.\nAnswer: -11, -2\/3, -0.1, 2\/15, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 0, 0.5032, -1\/3, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 25 + 9)*(-5*z - 15*z + 8*z)*(101*z + 48 - 48).\nAnswer: 14544*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 4:53 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 7:40 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 554382, 554386, 554380, 554358, 554314, 554242?\n\"Answer: -m**3 + m**2 + 8*m + 554374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9366680 and 30?\nAnswer: 28100040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 20 = 6*o, -3*d + 5*o + 6 = -34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93902.\nAnswer: 2, 29, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 divided by 587361?\nAnswer: 85\/195787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-222)\/(-780) + (-135)\/351)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0755753 litres in millilitres?\nAnswer: 75.5753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of 25*q**3\/3 - 8853. Let g(i) be the second derivative of -i**3\/2 - i. Determine g(r(v)).\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t**3 - 2*t**2 + t. Let s(v) = 4*v**3 - 375*v**2 + 3*v. Give -3*c(x) + s(x).\nAnswer: 16*x**3 - 369*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -821*y - 1074 wrt y?\nAnswer: -821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 - -951950338790.\nAnswer: 951950338790.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2502347.89 to the nearest ten thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/7  (b) 57\/2  (c) 3\/2  (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*i + 54 + 492*i - 57 + (-4 + 2 + 0)*(3*i - i + 0*i) - i + i + 2*i.\nAnswer: 504*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.21781919538146 and -1.2?\nAnswer: 1.41781919538146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3892813719 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*i**5 + 116*i**3 + 11*i + 188.\nAnswer: 240*i**3 + 696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*o + 7*o - 4*o**2)*(-5 + 2 + 0)*(-3 + 8 + 2) as i*o**2 + r + g*o and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -114.78 - -137.5. Let f = -1.2 - -24.2. Let c = h - f. What is c rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -2)\/((-21)\/(-6) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*j = -92 + 159. Let f = 6 + -3. Sort j, -2, -18, f in decreasing order.\nAnswer: f, j, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -1) + (-5 - -20) + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -13671, -28254, -42829, -57396, -71955?\n\"Answer: 4*j**2 - 14595*j + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**3 - 39*j**2 + 64*j - 25. Calculate q(18).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 379028840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 AM and 3:20 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of k**5\/140 - k**4\/28 - 3*k**3\/14 + 5*k**2. What is f in c(f) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 290984 and 136.\nAnswer: 4946728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 40  (c) 1  (d) -11  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 76 = -4. Suppose -i + 3*p + l = 0, 6*p - p + 140 = 5*i. Suppose -b + 5*b + 5*j = -i, 4*b + 2*j = -12. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/(-2))\/(-1 - 0). Suppose 4*q = 5*d - 17, 10 + 5 = -5*q + 5*d. Let n(r) = r**q + 0*r + 2 + r + 4 - 2*r**3 + 3*r**3. Determine n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 174*v**2 + 10*v - 22. What is the units digit of x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349705664 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*sqrt(78))\/sqrt(6).\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 10. Let m = -16 - h. Let o = m + 20.999984. Round o to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1046 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -37425.4?\nAnswer: -37425.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**5\/240 - s**4\/96 + s**3\/2 + 89*s**2 - 2*s. Factor a(l).\nAnswer: -(l - 3)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 378 - p + 209 - 2*p - 318 + 0*p.\nAnswer: -3*p + 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 638 and -72.\nAnswer: -45936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10\/9 - -176\/45. Calculate the common denominator of 93\/25*(-115)\/(-138) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 l when three letters picked without replacement from vttlkklv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -t**4\/3 + 43*t**3\/6 - 9*t**2. What is k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 380 + -377. Suppose 3*y - j = 2*y. Solve -c = y - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 542, 720, 512, -82, -1062, -2428?\nAnswer: -4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1079603\/3453060 - 3\/17708. Calculate the common denominator of h and 73\/18.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 34*v**2 - 2*v - 72. Let t be 1\/((5\/4 - 2)\/(1683\/66)). Determine f(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 24*t - 651 = 0. Which is greater: t or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 57\/12 + (15\/(-4))\/5. Suppose 0 = 4*n - k*l - 450 + 154, -2*n + 142 = l. Let v = n + 43. Does 55 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 547924734.6 to the nearest ten thousand.\nAnswer: 547920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 48787528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -57\/4  (b) -2\/7  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39714, -79385, -119056, -158727, -198398, -238069?\nAnswer: -277740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**4\/3 + 6847*n**3\/3 + 15481463*n**2\/3 + 11516376245*n\/3 - 15437882284 = 0. What is n?\nAnswer: -2497, -1857, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37 + 35. Suppose -w = -6*w + 10. Let j be -4*(0 + w\/(-4)). What is the closest to j in -3\/2, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/5 or 7\/26?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a - 23 - 13 = 0. Calculate the remainder when 122 is divided by (a\/(-12))\/((-68)\/(-27336)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 3. Let k = -252 - -2770\/11. Which is the smallest value?  (a) k  (b) t  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i**3 - 52102*i**2 - 614320*i + 666400 = 0. What is i?\nAnswer: -140\/11, 1, 2380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 253069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.27 + 3.73. Sort -2\/13, y, -2 in ascending order.\nAnswer: -2, -2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b1a - -154?\nAnswer: -9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 40709 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3. Let a(y) = y - 7. Give 2*a(p) + 5*l(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of n**9\/12096 - n**8\/1008 + n**7\/252 - n**5\/20 + 17*n**2. Let i(d) be the third derivative of x(d). What is k in i(k) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51579 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.09924084 from -50.34.\nAnswer: -50.43924084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 0 - 3*d**2 + 6*d + 3 + 10*d - 3*d**2. Let p be f(-8). Solve q - 5 = p*i, -q + 2*i + 20 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -27. Let r = -17.2 - j. Let p = -8 + r. Which is smaller: p or -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -549*95.\nAnswer: -52155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -206*l**2 - 2084*l + 1292. What is the first derivative of q(z) wrt z?\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/8*(-8)\/(-348). Let o = 17\/232 + u. Let k = 2.8 + 0.2. What is the third biggest value in k, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l - 10*l - 6*h = -23*l + 26, 2*l + h - 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176, 158, 122, 62, -28?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.072539kg in tonnes?\nAnswer: 0.008072539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 12*i - 6. Let g(k) = 4*k - 2. Let v(y) = 14*g(y) - 5*h(y). Let w(f) = -10*f + 12. Let s be w(4). Let c = -24 - s. Calculate v(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**15)**(-3\/10)*((d\/(d\/(d*((d\/d**(-9)*d)\/d)\/d)))\/d)**(1\/16) assuming d is positive.\nAnswer: d**(-339\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, 2\/3, -165, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 22916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 6*t**2 - 2*t + 7. Suppose -14 = -5*y + 51. Suppose 0 = -4*s - y - 11. Is x(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*q**2 + 11 + 10 + 3253*q - 3253*q.\nAnswer: -28*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*10*(2 - (-80)\/(-25)). Let p = r - -71. Suppose 14*u - p*u - 39 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*4 - 0\/(-10). Let c be f\/5 - (-8)\/10. Let d(w) = 5 - 4*w**3 + 0 + 3*w**3. Calculate d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39587957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(475) + -3)**2 + (-4 + sqrt(475) + 1)**2 - (-4 + (sqrt(475) - (sqrt(475) - (sqrt(475) - (-1 + sqrt(475)))*-3)))*-4.\nAnswer: -110*sqrt(19) + 995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2741, 10945, 24613, 43745, 68341, 98401, 133925?\nAnswer: 174913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus 6350175711?\nAnswer: -6350175710.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 51*b + 2752. Determine z(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4409.2*-13.35.\nAnswer: 58862.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 907641 and 78813?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3362824900 rounded to the nearest 1000000?\nAnswer: -3363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -14.6  (b) -0.7  (c) 1  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -m**4\/4 + 4*m**3\/3 - m**2\/2 - 4*m - 3. Let p be d(3). Let h(i) = -2*i**2 - p*i**2 - 1 - 2 - i**3. Calculate h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 27?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 436802 or 436805?\nAnswer: 436805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4987 + -4987.1. Let u = -13.2 - -13. Let d = 6.2 + u. Put d, -4\/3, g in decreasing order.\nAnswer: d, g, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 * 23\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 715323 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*v - 6*v**2 + 7*v**2 + 4*v**2 + 12*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-48)*-8)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*12\/24*10\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.882 - 2.035. Let i = 0.153 + s. Let j = 3\/5 + -1\/5. Which is the smallest value?  (a) 0  (b) j  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from apapppppppara. What is prob of picking 4 a?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 7976231?\nAnswer: 55833617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1568 and 1060080.\nAnswer: 14841120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 5*u + 3 - 15, 0 = -2*u - 4. Suppose z*n = 153 + 57. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 632140 - -6?\nAnswer: 632146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2042  (b) -1  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 4, 2, -29\/4, 21.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 - 103\/3. Which is the biggest value?  (a) 0.4  (b) r  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 180754107 divided by 2\nAnswer: 180754107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*h = 50*h + 140. Suppose 17*b - 24 = h*b. Let s be 3 + 83\/b + 0 + 3. Which is smaller: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84788.\nAnswer: 2, 11, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1515 = 177*x - 99 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -3*h - q + 2, 8 = -2*h + q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 bigger than -49759\/1761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-2)\/4)\/((-1435)\/(-1230)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 - 224*r + 2376. Calculate d(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h + 2. Let a be r(-2). Suppose 3*z = 5 + 7. Suppose 4*c = a*u - 24, 2*c + u - z = c. Is c >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5375*b**3 - 225*b**2 + 225*b. Let a(s) = -48*s**3 - 2*s**2 + 2*s. Give -225*a(o) + 2*y(o).\nAnswer: 50*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*p - 24*p - 24*p + 53*p**3.\nAnswer: 53*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5.7  (b) 2\/3  (c) 0.5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**2 + 13 - 6 - 7.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**4 + 2*t**4 - 2*t**4 + (-2*t**3 + 4*t**3 - 4*t**3)*(-3*t + 3 - 3) - 2*t**4 - 3*t + 3*t)*(-1 + 1 + 1)*(-3 - 4 + 5).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*q**2*y**3 - 149*q**2 - 431902*q*y**3 - 15658*q*y**2 + 2*y**3 wrt y.\nAnswer: 36*q**2 - 2591412*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 136\/3 + 2\/(-6). Let q = 703 - 703. Suppose -2*i = 3*i + a - 22, i - 2*a - 11 = 0. Solve z + 2*z - 5*x = -35, q = i*z - 5*x + s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*x + 48. Solve n + 6 = d - 0*n, -5*n = -2*d + x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, v: 1}. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2 + 4*n - 1. Let w = -16 + 13. Let k be z(w). Suppose -k*r + 180 = -p, 3*p - 108 = -3*r + 2*p. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**2*p**4 + 4498*d**2*p**2 + 2*d*p**2 + 6220*p**5 - 2 wrt p.\nAnswer: -48*d**2*p + 373200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110010 - -10?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, t: 7, f: 1, e: 6, a: 4}. Give prob of picking 3 t and 1 o.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-6) + 170\/51.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(1\/3)\/c))**26\/(c**(2\/11)\/c**(-4)))**(1\/47) assuming c is positive.\nAnswer: c**(1292\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d - 11. Let i be q(-5). Suppose -20 = h - 6*h + 5*u, i*u = -20. What are the prime factors of 502\/(-6)*h - 2\/3?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 101, 465, 3 in ascending order.\nAnswer: -5, 0, 3, 101, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 775766012.\nAnswer: 2, 7, 27705929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3 = 2*c. Suppose 3*a - a - c*n = -3, -20 = -5*a + 2*n. Suppose -36 = -a*f + 3*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.18 and -60.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of -a**4\/24 - 3*a**3 + 5*a**2. Let t be d(-8). Suppose -4 = -4*y - 48. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 282492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 605, 1209, 1807, 2399?\nAnswer: 2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -22449*i + 10615 + 2497*i**2 - 660 + 22446*i wrt i.\nAnswer: 4994*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -19. Let n = -134 - -146. Let d = i - n. What is the third biggest value in 2\/3, d, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 6 = -2*u, 5*v - 5*u = -3*u + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1253191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17131966 * -4.\nAnswer: 68527864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u - 6*u - u**2 - 4 + u. What is the tens digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -449 * -3.407\nAnswer: 1529.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -126\/13 in -2, -0.1, 8779?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-3))\/(3*(-3)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 63413692267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93257 = -7396*h - 250613 - 234632 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10991707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gexfggeefggggegfggge. What is prob of sequence xfge?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 988*d**4 + 3*d**3 + 6*d**2 + 27. Let s(m) = 995*m**4 + 4*m**3 + 6*m**2 + 28. Let f(n) = -4*a(n) + 3*s(n). What is the third derivative of f(t) wrt t?\nAnswer: -23208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*a - 21 = 0, -p + 2*a = 21 - 15. What is the units digit of (2*105\/(-4))\/(p\/112)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*u = 41*u - 4*j + 15, -5*u = 3*j - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*o - 8*o - 710. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 277 - 269. Let h(s) = -22*s + 23*s - 5 - v*s. Give h(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 305375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u**2 + 4*u + 3. Let t(w) = 9*w**2 + 8*w + 5. Let a(g) = 4*t(g) - 7*v(g). Is a(-10) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 13, n: 6}. What is prob of picking 3 o?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -739386 - 739772 + 1479158 - 16*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 1149*d**2 - 24576*d - 127. Give q(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 786908858?\nAnswer: 2, 43, 2467, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dgdnp. What is prob of picking 1 p, 1 g, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.4, 2\/95, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 1 + 0 + 0. Let l be r(1). Suppose l*v - 3 = v. Let q(c) = -c**3 + 2*c**2 + 2*c + 4. What is q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28324847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/14 - (-48)\/(-70). Let x = 0.8 - 0.7. Let q = x + 1.9. Which is the closest to 0.1?  (a) f  (b) 0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -7*r**2 - 5*r + 5. Let b(d) = -3*d**2 - 2*d + 2. Let p be (-1 + 2)\/((-2)\/4). Let s(z) = p*h(z) + 5*b(z). Let y(g) = 4*g**2. Calculate s(y(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 4 + 2)*(-6*d + 4*d + d)*(-203 + 14*d**3 + 203) to o*d**3 + q + v*d**2 + f*d**4 + j*d and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by -2*(-3 + (-3)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**14\/(g**(1\/4)*g**(-2\/9))*(g**27)**45 assuming g is positive.\nAnswer: g**(44243\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 726153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**13\/m*(m\/(m**(6\/11)\/m))\/m)\/((m\/(m\/((m**12*m)\/m)*m)*m)\/m**(-3\/4)) assuming m is positive.\nAnswer: m**(75\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cxxxcxxxxxxcxxxx. Give prob of sequence cc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 182 or 63?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-14))\/((-3)\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9927.021um in nanometers?\nAnswer: 9927021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 9625 = 6*u. Let k = u - 231. List the prime factors of k.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/15 and (0 - (4 - 0))\/((-285)\/(-19))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -27*p**3 - 8*p**2 + 8*p + 8. Let k(a) = a**2 - a - 1. Calculate -3*f(z) - 24*k(z).\nAnswer: 81*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29044270.\nAnswer: 2, 5, 2904427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 655320832.\nAnswer: 2, 53, 48299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aazznaaannnnaazna. Give prob of picking 1 n and 1 a.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 4*m - 508, 0*m = d - 4*m - 142. Suppose 7*l - 83 - 57 = 0. Suppose l = -2*x + d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**4\/9 - 656*u**3\/9 - 7642*u**2\/9 - 18244*u\/9 + 8848\/3 = 0.\nAnswer: -316, -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22695678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.02, -0.052, 1, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**2 + 2024*m + 510272 = 0.\nAnswer: -536, -476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234, -471, -708, -945, -1182, -1419?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -z - 4, 4*z - 2 = -4*h - z. Which is bigger: -3\/4 or h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 130.4 and -0.5.\nAnswer: -65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4265340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/12)*c**(1\/4)*c**(-1\/10)*c*c**(-3\/8) assuming c is positive.\nAnswer: c**(83\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1352059.\nAnswer: 19, 71161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4\/9)\/((w*w**14*w*w*w*w)\/w*w))\/((w\/(w*w*w**(1\/26)*w)*w)\/(w*w*w*w\/(w\/w**(-6))*w)) assuming w is positive.\nAnswer: w**(-4775\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21985028203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/30 - 13\/39. What is the smallest value in -4, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 61579.38cm?\nAnswer: 615.7938","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 102 = -2*b, 5*j - b - 97 = -4*b. What is the least common multiple of j and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 176\/(-66)*3*2*(-5)\/(-104)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**6\/120 + h**4\/6 - 8*h**2. What is the second derivative of b(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 18 = -5*l, 7 = 4*b + 3. Suppose x + 1 = w, 0 = 5*w - l*x - 3. Solve w = -k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17, 77, 155, 251?\n\"Answer: 9*w**2 + 33*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.9 - 7.9. What is the closest to u in 2\/7, 5, 7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**3 - 4304*d**2 - 2293882*d + 23371220 = 0 for d.\nAnswer: -1081, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4*18\/216*(171\/(-1))\/(-3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 7  (b) -13  (c) 0.008  (d) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 36. Let d be v(0). What are the prime factors of (-122)\/(-7) + d\/84?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 854005 and 1024806.\nAnswer: 5124030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 248 - 766 - 2306 = 0. Put -3, -1, 2, y, 3 in ascending order.\nAnswer: y, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*s - 270*s - 97*s.\nAnswer: -325*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 3) + (-4 + (3 - -12) - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-18))\/1 + 1\/(-6). Let k = -4.9 - 0.1. Sort k, v, 5 in descending order.\nAnswer: 5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76437 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 87969*c - 2641770.\nAnswer: 3*(c - 30)*(c + 29353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**2\/9 - 2*v\/9 - 88\/3 = 0?\nAnswer: -11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -1665 + 57. Let h(n) = -n**2 - 29*n - 121. Let p be h(-36). Let i = p + b. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 5*u + 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - -1*(sqrt(99) + sqrt(99)*-1)) + 3 - (-4 + sqrt(396) - (sqrt(44) + 1))**2.\nAnswer: -198 + 43*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**5\/13 - 4*s**4\/13 - 6*s**3\/13.\nAnswer: 2*s**3*(s - 3)*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2a6886 (base 11) to base 16\nAnswer: -74978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.42 - -0.95. Let u = a + 3.47. Let f = -0.5 + 1. What is the third biggest value in f, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -39279, -78635, -117989, -157341, -196691, -236039, -275385?\n\"Answer: k**2 - 39359*k + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {c: 5, o: 2, s: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 22\/77 + (-162)\/(-21). Suppose -f*g + 140 = -1876. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 3*k = -24, 0 = 95*v - 97*v - 3*k + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14778 or 3441?\nAnswer: 14778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 1811*a - 7167*a - 977*a in the form p*a + g and give p.\nAnswer: -6333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 17*x**2 + x + 22. Let f be v(-17). Suppose -k - 24 = -f*k. Sort -2, -3, k in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 2*s - 2. Let g = s - -5. Calculate the remainder when 6 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**3 - 5*f**2 + 2*f + 4. Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.01351995154966 and 0.01.\nAnswer: 0.02351995154966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 + 28*x**2 + 2*x**2)*(-1 + 0 + 0 + (0 - 2 + 0)*(-5 - 1 + 4) + 2 - 5 + 2).\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + 8*t**2 + 9*t + 2. Let v be i(9). Suppose q + v*q - 6 = 0. Calculate the smallest common multiple of 10 and q*(2 + (-3)\/6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -621996 by 34.\nAnswer: -18294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/14, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*p - 1980 = 0, -985 = 3*t - 4*t - p. Calculate the remainder when t is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29935627 to the power of 1\/2, to the nearest integer?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 2583.\nAnswer: -1\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20375 and 16000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4448752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.03 and 459.4398.\nAnswer: 459.4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 + -14)*(-1)\/2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 216 + 32?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*g**3 - 2*g**3 + 0*g**3)*(-542*g - 15*g - 477*g) to the form z + n*g + j*g**4 + t*g**3 + s*g**2 and give j.\nAnswer: -2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (127*j**3 + 12*j**2 - 75*j**3 - 51*j**3 - 1 - 5*j)*(4*j + 21 - 9*j + 3*j) in the form y + m*j**4 + l*j + r*j**3 + c*j**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3076589218 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-134*m**2 + 220*m**2 - 130*m**2)*(2 - 3 - 1) + 10*m**2 - 2*m**2 + 3*m**2 + 5*m**2 + 5*m - 4*m - 3*m**2.\nAnswer: 101*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 775 = 4*i, 0 = 5*q - 3*q + 4*i + 510. Let l = 123 - q. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 1139 = -139. Suppose n = s + 123. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-564)\/10)\/((-99)\/3300). Suppose -6*r = -g - 2056. What is the highest common divisor of 82 and r?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1156 - 3131?\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.47 + -3. What is n rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1))**38\/(z**4*z*z*((z\/(z\/z**(-2\/17)))\/z*z)\/z)*z**5*z*(z*z**(-3\/7))\/z*z**(-2\/23)\/z*z**(-1\/6)*z assuming z is positive.\nAnswer: z**(-616885\/16422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 48*w**3 - 2*w**2 + 4. Let d be k(6). Suppose -x + d = -2*x. Round x to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236314 is divided by 111.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7b279 + 0?\nAnswer: 7b279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {j: 4, h: 2, r: 5, v: 4, i: 1}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o\/(o**11\/o)*o*o*o)*o*o*o**(-2\/13))\/((o\/((o\/(o\/(o**(-10)\/o)))\/o*o)*o)\/(o**(-1\/8)*o)) assuming o is positive.\nAnswer: o**(-237\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(3) + sqrt(3) + -3) - (sqrt(3) + sqrt(1470)\/sqrt(10))**2.\nAnswer: -180 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 323, 184, 3, 4, 1 in ascending order.\nAnswer: -1, 0, 1, 3, 4, 184, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p + 5*f = 26, 5*f = 5*p + 10. Factor 25*t - 10*t**2 + 29*t**2 + 30 - 14*t**p.\nAnswer: 5*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*c + 8\/19*c**2 + 40\/19*c**3 + 0 + 50\/19*c**4.\nAnswer: 2*c**2*(5*c + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 713.8611 take away -0.4?\nAnswer: 714.2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*u - 1218 = -154*u - 201*u. Put -5, u, 136 in descending order.\nAnswer: 136, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4329 - -4360. Let f = 140 + -84. Calculate the remainder when f is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -87220 (base 11) to base 16.\nAnswer: -1eef5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2211, -2212, -2213, -2214, -2215?\n\"Answer: -p - 2210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*t - 65*t - 1944 = 0. Suppose -5*r = 5*f - 395, -f = 2*f - 3*r - t. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 45, 52, 51, 42, 25, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -198757.058 + 198938. Let a = h - 181. What is a rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.27132274 rounded to zero decimal places?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35 - 110. Calculate the common denominator of n\/(-10) + -4 - -1 and -85\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = k + 10. Let h(o) = -o**3 + 8*o**2 - 7*o + 5. Let n be h(7). Suppose -n*m + 31 = -4*t, 0 = -4*m - 4*t - 4. Sort m, 1, k in descending order.\nAnswer: m, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 5) + (20 - (10 + 14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r - 3. Let t be (-2 - 0)\/(-2) - -9. Suppose t - 2 = 2*l. Let j be q(l). Solve 4 = -o + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -811 - -810.82. Let b be (1\/2)\/(14\/8). Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 33554 - 3?\nAnswer: 33551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or -0.0642142?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/(-21))\/(25\/120)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**4 + 2*z**4 + 0*z**4 + (-z**2 - z**2 + 3*z**2)*(z**2 + 13*z - 13*z) as p*z**2 + q + y*z + t*z**4 + a*z**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -0.4, -4, 0.3, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -731\/4355 + 8\/65. Let n = -155\/469 - v. Let s = -0.31 + 0.01. Which is the closest to 1?  (a) s  (b) -0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*x + 30*x = -v + 5, -3*v = 3*x + 21. What is the biggest value in x, -0.14, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 298019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -1087967?\nAnswer: -1087963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/(-5))\/((-6)\/(-80)). Let p = 457 - 439. Let m = p + k. Solve b + 3 = 3*i - 5*i, -5*i - 21 = -m*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -140.8 + 141. What is the closest to 0.1 in -0.11, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 528 and ((-310)\/50 - -7)*10\/4.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -22*a + 16. Suppose -6*z = -3*k - 7*z + 556, 4*k + a*z = 743. Is 37 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 23 = 4*u. Suppose -5*v - 5 = -5*q, 5*q + u = -1. Let d(p) = -15*p**3 + 3*p**2 + p + 1. Is d(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nlna when four letters picked without replacement from ayllnaylynyll.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*x - 7 = -3*z - 30*x, 5*z - 22 = 2*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 14*b**2 - 15*b + 4. Let n be v(15). Let d(l) = -l**3 + 7*l**2 - 5*l + 1. What is the tens digit of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 4549*w - 3 - 4546*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + 326*p**2 + 947*p - 95447. Give j(328).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of 4*z + 1\/2*z**3 + 0*z**2 - 2. Calculate j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -56242, -56114, -55986, -55858, -55730?\n\"Answer: 128*d - 56370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 + 1)*(-2*l**4 - l**3 + l**3) - 12228*l + 158*l**4 + 12228*l to the form t*l**2 + i + s*l + y*l**3 + d*l**4 and give d.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + 54695)\/6 - -6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + 5)*25\/40*4. Suppose -5*g - l = 30. Let b(q) = -q**3 - 4*q**2 + 11*q + 19. What is the units digit of b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = t - 0*t + 45, 4*a - t = 180. Calculate the greatest common divisor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 18*z - 82. Let n be j(8). What are the prime factors of 6*(1 - n - 4 - -98)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94, -100, -118, -154, -214, -304, -430, -598?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -64\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/3 + 0)*-3. What is the remainder when 7*5\/((-5)\/w) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 - 5*q + 0*q)*(-2*q + 0 + 0) in the form u*q**2 + w + v*q and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 134 - 132. Let f be 528\/54 + a\/9 - 3. Sort f, 3, -0.1 in ascending order.\nAnswer: -0.1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 135*t + 4*i + 14 = 138*t, 0 = -3*i - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*m**2*x + 165*m*x wrt m?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.756138 millilitres in litres?\nAnswer: 0.001756138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -46*g**2. Let j be k(1). Let n = j - -79. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -4*l**2 - 3. Let k(d) = -d**2 - d. Let r(v) = -5*k(v) + w(v). What is r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11259*v**3 + 10*v**2 + 9*v - 9?\nAnswer: -67554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 - -50. Calculate the remainder when o is divided by 4 - (3 + 11)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*n**2 - 66*n + 27*n + 25*n to m*n**2 + f*n + w and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 4*n**2 - 3009*n - 18176. Calculate u(-6).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16803\/13 + 10347\/8. Calculate the common denominator of (6\/(-5))\/((-260)\/(-500)) and l.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 119, -759, -2223, -4273, -6909?\nAnswer: -10131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 6. Let k = 10 - 17. Let w = k + 14. Let h(f) = 2*f**2 - w*f**2 + 13 + 3*f**2. Give 13*g(u) + 6*h(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 37*q**2 + 60*q + 333. What is l(39)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + -6a?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -36*u**2 + 246*u - 346. What is v(4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -l**7\/280 - l**6\/60 - l**5\/40 + l**3\/6 + 2*l**2. Let r(z) be the first derivative of a(z). Factor r(i).\nAnswer: -3*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3088 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: Simplify (j\/(j\/(j*j*j**10\/j)))\/j**(24\/11) assuming j is positive.\nAnswer: j**(97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v - 3*c = 8*v - 2, 3*v = -3*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.2 or -68860560?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.01 - -0.11. Let g = -63 + 65.9. Let q = r + g. What is the second biggest value in -1, q, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269 = 98*f - 1053 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - (1 + -6)) + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, m: 4, c: 1, i: 1, q: 8}. What is prob of picking 1 q, 1 i, and 2 m?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1033*u - 1039*u - 66 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 a factor of 823866703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 91424, 91423, 91422, 91421?\n\"Answer: -v + 91425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 5*q + 3*m + 122, 0 = 2*q + 5*m + 88. Let i = 71 + q. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*m - 672 = -132 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25\/8 of a millennium?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(200) - (sqrt(200) + 1)) + -4*5*sqrt(200) + -5 + 0)**2.\nAnswer: 2800*sqrt(2) + 80049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 115101 divided by -147\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 420514535.\nAnswer: 5, 7, 31, 59, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 7. Suppose b + 0*i = s*i - 8, 3*i = -2*b + 19. What is the derivative of 3 + 7*h**4 - h**4 - b*h**4 wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + 5*b - 1. Let x be q(4). Suppose -9*u + 24 = -x*u. Suppose 5*m + u = 49. Calculate the highest common factor of m and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7c82 (base 15) to base 3\nAnswer: -1100021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2763*l - 10. Let g(z) = 12171013*z - 44048. Give 5*g(s) - 22024*i(s).\nAnswer: 2753*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45 and 21150.\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1152)*4 - (sqrt(18) - sqrt(108)\/sqrt(6))*-2)\/((sqrt(90)*-2*5)\/(-1*sqrt(810))))**2.\nAnswer: 41472\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 4*c**2 + 45*c - 693. Let j(n) = 6*n**2 + 63*n - 1040. Calculate -7*i(a) + 5*j(a).\nAnswer: 2*a**2 - 349","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 227 - -2520?\nAnswer: 2747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/10 + (-1833)\/1980. Let i = 5\/66 + w. Let o be (-24)\/(-10) + (-10406)\/4515. Which is the fourth smallest value?  (a) o  (b) i  (c) 0.3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - a = -15, -5*z = -4*a + 8*a - 77. Let r(n) = -2*n**3 - 13*n**2 - 8*n + 14. Let o be r(-7). What is the greatest common factor of o and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 533*n - 470*n - 405594. Does 175 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 462230 is divided by 483.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10767 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20\/(-4)*10*6000. Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2806 and 1979389.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(3) + 2 + sqrt(3))*-3.\nAnswer: -6*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 i, 1 m, and 1 b when four letters picked without replacement from lnnmninlbnnllnnlm.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.6 + 1.6000319. What is g rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4908*a**2 + 2*a + 2. Let n(t) = -3668*t. Give f(n(j)).\nAnswer: 66033331392*j**2 - 7336*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7*m**3 - 6*m - 15. Let d(c) = 5*c**3 + 4*c + 15. Give 3*d(s) + 2*q(s).\nAnswer: s**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49)*-1*2)\/(-5*sqrt(21)\/sqrt(3)) - -6*sqrt(448)*-2*-6)**2.\nAnswer: 58141468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/15)\/t*t**(-2\/17)*t*t\/(t\/(t\/t**(-1\/2)))*t**(1\/3)*t)**(-34))**(4\/21) assuming t is positive.\nAnswer: t**(-1756\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3675*d*i**3*v - 16*d*i + 5*d + 43614*i**3*v + 2*i**2 - 42375*i*v wrt i?\nAnswer: 22050*d*v + 261684*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5c6 (base 15) to base 7\nAnswer: -3552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 805  (b) -39  (c) 2\/3737\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6177 is divided by 3080.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 8:38 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7839 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 0. Let u = 0.04 - -19.96. Let y = u - 20. Which is the third biggest value?  (a) -5  (b) y  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 138 + -89. Let g(q) = -3*q**2 + 5*q + 4. Let o be g(5). Let x = o + t. Solve s - x = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1112, -2224, -3336?\n\"Answer: -1112*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5663\/4 or -1415?\nAnswer: -5663\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 10*f**5 - 35145*f**4 - 17615*f**3 + 140580*f**2 + 70300*f = 0.\nAnswer: -2, -1\/2, 0, 2, 3515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -1)\/(9\/(-10)*80\/528).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105 - 123 - (-25 - -3) - -15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-2*sqrt(187)*1)\/(sqrt(1331)*-2 - sqrt(1331) - (sqrt(11) + sqrt(176)\/sqrt(4))).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3535 and 3.\nAnswer: -10605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + 10*j - 15. Determine a(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 take away -22477?\nAnswer: 22486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20058402053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 178836168 + -30?\nAnswer: 178836138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43 + 43 - m)*(8 + 46 + 20).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjmvdm. Give prob of sequence dvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -538 = -10*m - 628 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -14  (b) -0.3  (c) 3  (d) 0.009  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of -3*v**4\/4 + 6*v**3 + 3*v**2\/2 - 18*v - 45. Factor x(k).\nAnswer: -3*(k - 6)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406 is divided by 191.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -748*c**3 - 576*c + 2149*c**3 + 576*c + 611*c**3 + 1420*c**3.\nAnswer: 3432*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32943\/7 - 4706. Determine x so that 1\/7 + 2\/7*x + o*x**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - g**2 + g. Let l(w) = 5*w**3 + 18*w**2 - 7*w - 20. Let s(y) = 6*a(y) + l(y). List the prime factors of s(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 13*s**2 - 35*s. Let u(j) = -5*j**3 + 79*j**2 + 209*j. Let x(g) = 34*r(g) + 6*u(g). Factor x(b).\nAnswer: 4*b*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - t - 10 = 14, -3*p + t = -19. Suppose 2 = l - 2, -7 = o + p*l. Let s = o - -25. Is s < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y - 7*y - 352 = 0. Calculate the least common multiple of 6 and 3\/11 - (-912)\/y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/78*78\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1130 - 10?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in -2, 45, -9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/18 - 19\/(-45) and 77\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/220 and -93\/2596.\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/221 and -35\/78?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -1232*p - 48047. Give g(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + 5*n - 2. Let f(w) = 3*w + 50. Let z be f(-8). Suppose -4*i - 6 = -z. Suppose 0*u - 5*a + 21 = -u, 33 = -i*u + a. Determine h(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 divided by -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -551032, -551030, -551028, -551026?\nAnswer: -551024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 15*u)*(-7 + 7 - 4*u - 3*u**2).\nAnswer: 45*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 1 = -s + 11, 0 = 3*s + 9. Let l(i) = 2*i**3 - 2*i**2 - 4*i + 2. Give l(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) -0.57  (b) -0.5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39263.\nAnswer: 7, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 - 6976*d**2 - 13550005*d - 4680626118.\nAnswer: -(d + 438)*(d + 3269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-292)\/219*(-41502)\/8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 139436174*f**4 - 101780071*f wrt f.\nAnswer: 1673234088*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35 - 31.1. Let r = 3.90184 - z. What is r rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(78\/(-100)) + (-16)\/104.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 0 + w - 1 + 1. What are the prime factors of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 188\/47 - (5 - 1). Suppose -5*p + 4*p = -3*v, m = v. Let k(h) = 1 + h**2 - h - 2 + 3. Determine k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(48\/(-68)) - 31?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 359\/332 + 14\/83. What is the third biggest value in -5\/2, -5, o, 0.04?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) -3  (b) -0.2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 62231\/(-499512) + ((-42)\/(-7))\/48. Put a, -4, -3 in ascending order.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -26995314 and 16908007.\nAnswer: -10087307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18 and 0.012.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -5*-3*(-1*(sqrt(5) + 5 + -1 + sqrt(5)))**2)*-4 + -3.\nAnswer: -2179 - 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 51 = -5*d - 2*n, -73 = 4*d + n. Let z = -4 - d. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 AM and 12:55 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/120)\/((-6)\/(-4)). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-220)\/(-150)*3)\/(2\/50). Suppose 2*f - 114 + o = 0. Solve c = f*j - 6, 0*j + 3*j - 2*c = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-2))\/((-2)\/4). Let r = 105 - 106. Let v(t) = -21*t - 21. Let s be v(r). Solve 3*j - d*o - 6 = -s, -5*j + 2*o = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18183197 - 4135*f - 18183197.\nAnswer: -4135*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/22 + (-593734)\/(-565411). Let n = -233\/5 + 47. What is the smallest value in n, j, 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c + 12 + 17 - 9 + 2. Let q be n(-11). Suppose -4*d - z + q*z + 26 = 0, 5*z = 5*d - 20. Solve -3*x + 6*x - d = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.605 + 0.263. Round t to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 0. Suppose 3*w = -i + 7. What is the third derivative of w*h**3 + h**3 + h**3 + 2*h**2 - h**3 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -137 + 21. Let w = c + 582\/5. Factor w + 8\/5*z**2 - 2*z.\nAnswer: 2*(z - 1)*(4*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*c - 5*c - 395*c**3 - 1677*c**3 + 29*c.\nAnswer: -2072*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-182)\/(-819)*(6 - 825\/10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/133951029 and 41\/1479.\nAnswer: 2277167493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 9*a**2 + 7*a + 5. Let x be p(-9). Let o = 141 + x. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -6, -4\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*p**2*q - 98540*p**2 + 2*p*q - 5658*q wrt q.\nAnswer: -5*p**2 + 2*p - 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s. Let x(w) = -4*w. Let b(h) = -h - 12. Let g be b(-7). Let f(z) = g*x(z) + 3*p(z). Let o(c) = -2*c. What is o(f(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 y when four letters picked without replacement from {j: 13, q: 2, y: 5}.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38\/3 + -257\/21. Let t = 0 - -5. Let m be 4*(-2 - (-111)\/60). Which is the closest to -1?  (a) z  (b) m  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 20*m + 220. Let x be z(-22). Let q = 503 + x. What is the remainder when q is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f**3 + 797*f**2 - 308*f - 11181. Give d(-266).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7280.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 2*x. Let n be x - 3*(-3 + 2). Suppose -n*v = -4*q + 7*q - 6, 3*v = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*y**2 - 21*y**2 - 15*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*n = -109*n + 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 929581.79373 + -928482.8. Let g = a + -1099. What is g rounded to four decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + w - 4 = -4*w, 8 = 2*j - 2*w. Suppose 10*x = x. Suppose x = -j*f - 15, -5*n - f = -10*n + 145. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71608160?\nAnswer: 2, 5, 13, 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5334424 - 51\nAnswer: 5334373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 182\/9 + 2\/(-9). Solve -3*o - s = -8*o, -3*d - 3*o + 27 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 145575966\/11 or 13234178?\nAnswer: 145575966\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 18. Let g = -0.3 - -0.7. Sort l, g, -4 in descending order.\nAnswer: g, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*a = -58*a + 8. Solve -2*s + 3*o + 5 = a*s, -5 = -2*s + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -208811*o**4*u - 248*o**2*u - 29745*u - 1469 wrt o.\nAnswer: -835244*o**3*u - 496*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -7*s - 49. Let i be x(-7). Solve 4*c - 4 + i = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 380876960 and 95219240.\nAnswer: 380876960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 + a**2 + a. Let g(h) = 5*h**3 - 14*h**2 - 20*h + 24. Let p(l) = -g(l) - 4*n(l). What is the remainder when 308 is divided by p(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-20)*-2)\/(2*(-135)\/150)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 7*t)*(2*t - 5*t + t)*(-3*t + 3*t + 2*t).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 7) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2537261*h**4 + 17030*h**2 + 4*h?\nAnswer: -60894264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 20*p. Let o(m) = -5*m**2. Calculate l(o(c)).\nAnswer: -25*c**4 - 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ojjpo. Give prob of sequence oj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**(-1)*g)*(g*g\/g**(-1\/2))\/g*g*(g**(-3\/5)*g)\/(g**(3\/7)*g))\/((g\/((g**(-1)*g)\/g))**(7\/3)*g**(-1\/6)*g*g**(-4)*g) assuming g is positive.\nAnswer: g**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -45*y + 51*y - 408. Let a = y + -38. Calculate the remainder when 57 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7288\/(-30) + (-14)\/35. Let h = u - -23333\/96. What is the common denominator of h and 5 + -2 + -8 + (-402)\/(-40)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -22 - -4 - 11) + (-5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 352046525 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 666930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -43*z**5\/60 + z**4\/12 + z**3\/3 - 2*z**2 - 22. Differentiate w(a) with respect to a.\nAnswer: -86*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-288)\/(-168))\/(4\/14). Solve -3*y = 4*a - 20, -3*a - 2*y + c = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -41 + -873?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 30, -32, -142, -312?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7 minus -315408870?\nAnswer: 315408867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15000964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -59066.\nAnswer: -1\/29533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1074500275 to the power of 1\/3, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.64131 times -0.2?\nAnswer: 0.328262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 58 in 4, 346\/13, 26?\nAnswer: 346\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32\/7?  (a) 0.4  (b) 4  (c) -10  (d) 8  (e) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -118  (b) 0.2  (c) 4  (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 5*c + s - 208, 2*c - 112 = 5*s. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (1 + (-2 - 2) - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + -1 - (2 + 0). Let z be (-2)\/(b\/(-3)*-2). Let a = 3.746 + 0.254. What is the biggest value in a, z, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 452 = 253. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 345206.\nAnswer: 2, 172603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0030519697 rounded to 5 decimal places?\nAnswer: 0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5 + -9*1\/1. Does 2 divide 1134\/12*(x\/(-3))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427 + 2*x - 129 - 4*x - 298 + 0*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0268?  (a) 3\/4  (b) -0.2  (c) -3  (d) -37.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 19*k**2 + 41*k + 23. Let n be o(-16). What are the prime factors of (5 + (-282)\/15)\/((-3)\/n)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 545982?\nAnswer: -545985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -22202002210002 (base 3) in base 6?\nAnswer: -243334515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1499, 10, 2, 1.\nAnswer: 1, 2, 10, 1499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59879 is divided by 13999.\nAnswer: 3883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide (-28)\/(-35) + 105\/25 - -1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 3*w + 4*w)*(-6 + 2 + 3) + (9*w - 7*w + 9*w)*(4 - 5 + 2) - w + 2*w - 2*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -357389*k**5 + 219033*k?\nAnswer: -7147780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6*2)\/((-4)\/(-2))*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**20*f**(9\/2)*((f*(f*f**(-6\/13))\/f)\/f)**50)**(7\/10) assuming f is positive.\nAnswer: f**(259\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*b - 2708 - 4061 = -2702 for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1.3, -1\/3, 3, -1\/4, 63?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -3*z**6\/20 - 11*z**5\/60 - 5*z**4\/12 + z**3\/2 + 4*z**2. Let q be m(9). Round q to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from ktu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*m - 6 = 0. Suppose -2*x + m*f + 16 = 0, -f + 26 = 3*x - 3*f. Calculate the highest common divisor of x and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -65451, -67827, -70207, -72591, -74979, -77371?\n\"Answer: -2*c**2 - 2370*c - 63079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (17 - -1)*(4 - 2). Suppose 2*z + t - 108 = 0. Solve 0 = 5*k - 11 + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*y**4 + 58830*y**3 - 523276 wrt y?\nAnswer: 36*y**3 + 176490*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 1108.\nAnswer: -3\/1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21892399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -22, 36, 170, 404, 762?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + 6. Suppose 0 = 4*t + t - g. What is the third derivative of -t*f**2 + f**3 + f**2 - f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61 - 57. Is 22 a factor of v*37 + (-7)\/((-14)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 11:04 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + q - 40 = 5*j, q + 1 = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*h + 6*h - 4*h)*(2*h + 2*h - 14*h) + 0*h**2 + 3*h**2 - 2*h**2 as r + d*h + m*h**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4061329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 0*n - 2*n**2)*(4 - 3 - 2) + 5*n**2 - 4*n**2 + 0*n**2 + (-1 + 1 + n)*(3 - 3*n - 3) + 5*n**2 + 9*n**2 + 31*n**2.\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3068 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 40\/14 - 2\/(-14). Solve z*c + 0*c - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 > 39989\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((35\/49)\/5)\/(1\/2). What is the nearest to 2\/3 in -7, g, 13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 2:13 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**2)**34)**(-38\/7)*((n*n**(2\/5))\/n*n**9)**36 assuming n is positive.\nAnswer: n**(-1076\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 3. Is c bigger than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -191*k**5 - 2*k**4 - 10*k**3 - 17963*k**2.\nAnswer: -11460*k**2 - 48*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -5*g + 328. Let w(b) = b - 33. Let l(z) = r(z) + 10*w(z). Let v(a) = 4*a - 2. Suppose q + 10 = -p, -q + 2*p = p. Calculate q*l(m) + 6*v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 2*o - 10617 + 47175, 18264 = -2*a + 4*o. Let l = 16003 + a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*g**2 - 3*g**2 - 14*g**2)*((-1 + 1 - 1)*(-2*g + 2*g + g) - 13*g + 3*g - 3*g).\nAnswer: 350*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 67233082.24 to the nearest 10000.\nAnswer: 67230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 5*f, 4*f - 5*o + o = 36. Let w be (6\/(-4))\/(3\/f). Find the common denominator of (-97)\/18 + (w - -1) and 15\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-150)\/10)\/((-117)\/13*(-1)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/((-132)\/(-8)) + 189\/(-11). Let z(x) = x - 10. Let j be z(d). Let h be j\/(-45) + 4\/10. Solve -k - 2 = -v, -3 = 2*k - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -23 and -1.3.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1057985 is divided by 150.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3399 and 77?\nAnswer: 23793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*n - 4*n + 4*n)*(11*n - 2 - 9*n - 5*n) as y + k*n + m*n**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2741 + -2741.1. What is the second biggest value in 0.5, -566, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**19)**(-23\/2) assuming c is positive.\nAnswer: c**(-437\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*g**4 - 1484*g**3 + 2728*g**2 + 1904*g + 288 = 0.\nAnswer: -9, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31621\/2342 + -2\/1171. Let i = y + -15. Let d = -21 + 23. Which is the third biggest value?  (a) i  (b) -2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 6*h + 4. Let k be 768\/(-18) + h\/(-6). Let v be (-3)\/(-6) + (-3)\/k. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2380671705 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 55 - 35. Let l be 5 + 2 + f\/(-5). Suppose -6 = -3*z - l, -g - 4*z = -13. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4575, -9555, -14813, -20355, -26187, -32315, -38745, -45483?\nAnswer: -52535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5277846 or -5277864?\nAnswer: -5277864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 + r - 1. Let u(x) be the first derivative of -4*x**3\/3 - 5*x**2\/2 + 9*x + 15. Calculate 5*p(g) + u(g).\nAnswer: g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, -4, 2\/5, 0, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(80)*2)\/((1*sqrt(88))\/sqrt(11)))\/((sqrt(5500)*2)\/(6*sqrt(11)*-2)).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 59, 3, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 6) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 91258234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 626412478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from llzlzzz.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-25)\/(1050\/28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5907000 rounded to the nearest 100000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*x - 0. Let s = 4 - x. Solve b - s*b = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17536070 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.23 - -1.03. Let o = -0.3 + 0.1. Let v = l - o. Which is the second biggest value?  (a) 4\/3  (b) v  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 7*a. Let u = -28 + 37. Let t be w(u). Is ((-6)\/t)\/(4\/(-3516)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18018 and 176?\nAnswer: 144144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19290 = -6*u + 13020. Suppose m = -5*s + 5*m + u, 0 = 5*m. Suppose c = 4*f - 3976, f - 4*c - s = -68. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 6)*(-2*k + 0*k + 0*k)*(k + k**2 - k)*(-3*k + 3*k - 4*k**2).\nAnswer: 48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1893 - 102.2893. What is x rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 35*m**2 - 22*m - 16. Let o be l(9). Let g = -1540 + o. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 109513964 and 23016?\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 18*q. Let i(a) = 35*a + 25. Let x(r) = 34*r + 20. Let o(w) = 4*i(w) - 5*x(w). Determine s(o(c)).\nAnswer: -540*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7501 is divided by 1115.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c**6 + 205*c**2?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/1)\/((-1)\/(-4)). Let c = 36 - 36. What is the third biggest value in c, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 2*t + 0*t)*(2 + 1 + 2) + (2 - 1 + 0)*(2 + 3*t - 2) + 82 - 82 + 6*t - t - 2*t + 2*t - 2.\nAnswer: 18*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 7*t**3 + 443*t**2 + 696*t + 8565. Give g(-62).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*g - 17. Solve 5*a - g*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2160 and 3824280.\nAnswer: 7648560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 4) + (11 - -6 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -2*h - 15*d + 14*d, 4*h - 2*d = -26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -5*c + 4. Suppose -2 = t + 3. Let j(h) = 8*h - 2*h + 0 - 5. Let z be ((-8)\/5)\/(2 + 32\/(-20)). Give t*o(q) + z*j(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**0*j**(-1\/6)*j)**(9\/2)\/((j**1\/j)**(-28)\/(j\/(((j\/(j*j\/(j**(-1\/3)*j)*j*j*j*j*j))\/j)\/j)*j*(((j\/j**(-5\/6))\/j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 146321622*v**4 + 69735915*v wrt v?\nAnswer: 1755859464*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*t - 5324 = -43*t. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -9*m - 61*m**2 + 4*m - 157*m**4 + 2*m - 6*m. Let y(q) = 39*q**4 + 15*q**2 + 2*q. Let v(w) = 2*i(w) + 9*y(w). Find the third derivative of v(h) wrt h.\nAnswer: 888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 285*b**3*d**3 + 2*b**3*d + 6*d**3 + 2*d with respect to b.\nAnswer: 855*b**2*d**3 + 6*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 - -8. Let w = -21 - h. Let a(g) = 14*g**2 - 55*g - 286. What is the remainder when w is divided by a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**2 + 99004*j = 0 for j.\nAnswer: 0, 24751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8 + (-25)\/(-5) + -10. Suppose -2*a + 2956 = -l*x, -3*x + 629 - 2104 = -a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 165\/5 + 4\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2622 and 9062?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 5*l + 49, 4*q - l - 96 + 59 = 0. Solve 2*s - 2 = 5*c, -22*c - q = s - 20*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11618773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.07 - -80.93. Let h = x - 143. Put 5\/2, -0.2, h in ascending order.\nAnswer: h, -0.2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14643*j**4*w + 43*j**4 + 2*j**3*w - j**2*w - 52*j**2 + 142*j*w - 5*w wrt j.\nAnswer: -351432*j*w + 1032*j + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 40 = -3*r, -4*r - 53 = 11*k - 10 - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -383, -714, -1029, -1322, -1587, -1818?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1150)\/5865)\/((-68)\/12 - -5).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 886260463?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -0.4, 0, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/48990 and 56\/185?\nAnswer: 1812630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 86219, 86226, 86233, 86240?\n\"Answer: 7*z + 86212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2076*w - 24 = -5*h + 2077*w, 2*h + 6*w = 19*w + 60 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -566988, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -2*t + 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -16*k + 4*k - 2 + 7*k + 0*k. What is p(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 5*m**2\/2 - 17*m - 2. Let b be s(6). Let q = 20 + -18. Sort q, b, -1, -2 in descending order.\nAnswer: b, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3106, -6201, -9296, -12391, -15486?\nAnswer: -18581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -6 - (1 - -16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -6*u + 466. What is j(80)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 260, -1, 1, -2 in descending order.\nAnswer: 260, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/4 - -4)*2\/4. Let b(d) = 3*d**3 + 0*d - d - d**3 - w*d**3 - 7*d**2. Determine b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 9810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = c - 4*c + 295, 0 = -3*c + 3*v + 327. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 38*v**2 + 107*v + 48. Give p(-35).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + t)*(2*t + 0 + 0) + 2491*t**2 - 479*t**2 + 5555*t**2)*(-t + t + t**2).\nAnswer: 7569*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 4*g - 5*c, 0 = -g - c + 2*c - 4. Let f be (-1)\/((-60)\/63 + g). Calculate the smallest common multiple of -3*7\/(f\/18) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2 + 0 - 67*d + 66*d + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1642, 1634, 1636, 1654, 1694?\nAnswer: 1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {e: 7, w: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281845096.\nAnswer: 2, 13, 53, 51133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -117\/187316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -0.2  (b) -3\/5  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -684*v**3 + 1380*v**3 - 698*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 - 31. What is the nearest to -2\/9 in -2\/5, t, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4505450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2786.787 - 8.962078.\nAnswer: -2795.749078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from zzzzfzfzffzzfzfzzz.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (99 - 107) + (2 - 2 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/1*45\/(-18). Let d = -11 + x. Let m = d - -42. 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 are the prime factors of 4844293?\nAnswer: 4844293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 125534?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105725 is divided by 777.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 2:13 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that p**4\/5 + 283149*p**3\/5 - 1415762*p**2\/5 + 2265228*p\/5 - 1132616\/5 = 0.\nAnswer: -283154, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 445 + -173. Suppose 4*y = 4*f + z, f - 282 = -4*y + 3*f. Let o = y - 48. Solve 6*u = u - 5*b + o, -u = 5*b - 21 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/4, -11, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 639252481 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -0*k + 16. Suppose -336 = -k*r + 5*y, -r - 59 = -2*r - 5*y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1003.386 * 1365\nAnswer: -1369621.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*f + 14. Let b(h) = h**2 - 5*h + 5. Let w be b(4). Differentiate -w - 3*s + f*s - 3*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 10299 and -259?\nAnswer: 10558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 10*r**2 + 5*r + 13. Let t(u) = u**2 + u. Let z(f) = -p(f) + 5*t(f). Differentiate z(x) wrt x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gvggvgvo. Give prob of sequence gvvo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -18 + ((-9 - 1) + -1 - (-1502 + 1502))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14.73?  (a) -1  (b) 2\/33  (c) -5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Let j = -72 + 125. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + 12*o + 38. Let t be v(-5). Solve 5*d - t*d = 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of (-22)\/(-42) + 2\/(-3) - (-83740296)\/9429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5*b**2. Let u(l) be the third derivative of -l**8\/10080 + l**5\/30 - 3*l**2. Let n(i) be the third derivative of u(i). Determine n(y(r)).\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*g + 16*g + 9*g - 23*g - 16*g + 26*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 44 (base 5) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 3.1  (c) -2\/23  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4116*h**3*s + 130*h*s + 4*s wrt h.\nAnswer: 24696*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 207 and 322\/(-3)*((-153)\/34 + -2 + 5)?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2040 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28511\/8 - 3572. Let b = 489 + -905\/2. Calculate the common denominator of l and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*h - 23 = 0, 3*d - 46 = -4*h - 14. Put -5, -8, d, 0 in ascending order.\nAnswer: -8, -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -86 + 85.98244. Round j to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f**2 + 778*f**3 + 715*f**3 - f**2 - 5*f - 219*f**3.\nAnswer: 1274*f**3 + 2*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2594\/15 + 173. Are -1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -15765\nAnswer: 2\/15765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.05191 weeks in minutes?\nAnswer: 61003.2528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 6*n**3 + 6*n**2 + 7*n + 16. Let u(f) = -55*f**2 + 8*f**2 + 43*f**2 - 11 - 4*f**3 - 5*f. What is -5*p(v) - 7*u(v)?\nAnswer: -2*v**3 - 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1045*a = 1047*a + 14 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b - 3*j - 3, -501*b + 498*b - 15 = -j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + u**3 - 3)*(-5 + 3 - 1 + (3 + 0 - 1)*(-1 + 3 + 0) - 1 + 2 + 0 + 4 + 0 - 1 + (-1 + 0 + 2)*(-3 - 1 - 2))*(5*u + 0*u - 3*u) - 2*u**4 - 4*u**4 + 4*u**4.\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 0)*-4 - (-2 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2102211 - -121?\nAnswer: -2102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.15 + -0.17. Let u = -1.78 + r. Let j = -0.9 + u. Which is the closest to -0.1?  (a) j  (b) -0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/2 and -17\/1263186?\nAnswer: 1263186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246588496.\nAnswer: 2, 7, 11, 200153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -318*g**3 - 546.\nAnswer: -954*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**4 - 7 - 4*h + 3*h + 2 + 3*h**4 + 5*h**3 - 2*h**2 + 6 in the form v*h + d*h**3 + s*h**2 + m*h**4 + l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(325) - (sqrt(325) + (sqrt(325) - sqrt(325)*2)*1) - (4*2*sqrt(325) + sqrt(325))) + -2))**2*-3.\nAnswer: -998592 - 7680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-15) - 12\/15. Let t = a + 3. Suppose -3*g - 4*n + 21 = -t*g, 0 = -2*n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 4089813.\nAnswer: 44987943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of 0*z - 1\/20*z**4 - 1\/200*z**6 + 0 + 3*z**2 + 0*z**3 + 3\/100*z**5. Factor j(v).\nAnswer: -3*v*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 - 1.7?\nAnswer: -151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20917, -83926, -188953, -335992, -525037, -756082, -1029121, -1344148?\nAnswer: -1701157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 5*b + b)*(19*b**2 - 2*b**2 + 125*b**2 - 4*b**2 + b**2 + b**2 + (2*b**2 + 0*b + 0*b)*(-2 + 1 + 3)).\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68950 - -118599. What are the prime factors of g?\nAnswer: 131, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + sqrt(88) + (sqrt(88) - 1*sqrt(88)) + sqrt(88) + sqrt(88))))\/sqrt(8) + -3.\nAnswer: -3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 1\/5*a**4 + 0 + 0*a + 12\/5*a**2 + 7\/5*a**3 = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*d - 5*w = 17*d - 62, 16 = -2*d + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, j: 1, k: 3, o: 4}. What is prob of picking 1 t and 1 j?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188725 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54734235?\nAnswer: 3, 5, 223, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.02 or 6736?\nAnswer: 6736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*g + 8 = 4*j, 4*j - 8 = 5*g. Suppose 4*d + 3*l - 14 = -g*l, 12 = 4*d + 4*l. What is the remainder when d is divided by (-1 - 0)\/(-1) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 105 + 3. What is the remainder when w is divided by (20\/(-2))\/5*1 + -23 + 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(4\/(-1) - -3). Suppose w*d + 0*d + 17 = -5*m, 4*m + 16 = -3*d. Which is bigger: m or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1866?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7991669 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*d**3*q*y**2 + 94449*d**3*y**3 - 2*d**2*q*y + 2053*d**2*y**3 + 2*d**2*y**2 + 4*q*y - 20*y**3 wrt d?\nAnswer: 30*q*y**2 + 566694*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.2639868334 to 2 decimal places.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44777412.\nAnswer: 2, 3, 23, 41, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1\/32 + -35\/96. Let f be 6\/2 - (0 - -1). Sort 1, f, o in increasing order.\nAnswer: o, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of v**3\/3 - 28. Let q(d) = d. What is n(q(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11011521 + 101?\nAnswer: -11011420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*t**2 - 126128*t + 112128.\nAnswer: -2*(t + 7008)*(9*t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 5, 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**3 - 6*u**2 + 785*u + 1588. Determine w(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*h - 1146 - 154 - 298 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/1 + 1 + 10. Suppose -n = k - 3*k. Let l(a) = -935*a**3 - 6*a**2 + 5*a. Let g be l(k). What is g rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02 and 1016.\nAnswer: -20.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o - 35058 + 37151 = -149*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20432 by 8.\nAnswer: -2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 10*x**2 - 2*x + 3. Let k be 30\/(-8)*(-24)\/9. Let j be c(k). Let z = -7 - j. Solve l + z = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -466, -468, -472, -478, -486, -496?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + r = -19384710, -3*g + 3*r - 7*r = 11630809. Let d = -13740170 - -8233227. Let m = g - d. Round m to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15232\/3 - 258935\/51. Which is the nearest to 0?  (a) -1.8  (b) u  (c) 0.4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -173*t**4 + 293*t.\nAnswer: -2076*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 2*y - u + 11 = 0, 7*y - 4*u + 45 = 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 731.6081 decades in millennia?\nAnswer: 7.316081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33 * -0.1.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*j - 8*j + 60. Let f(b) = 27*b - 19. Let i(v) = -v. Let l(o) = -f(o) + i(o). Let s be l(j). What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**4 - 1113*r**3 - 138375*r**2 - 5854923*r - 11165202.\nAnswer: -3*(r + 2)*(r + 123)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11860 - 4844. Calculate the greatest common divisor of c and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -4411001?\nAnswer: 4411000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 greater than -51998\/3653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 346 is divided by 91.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4 = 2*g + 2, 5 = 5*g. Let z be q\/(-14) - (-275)\/7. Let p = 12 + z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 6*r**2 + 6*r - 3. Let f be n(-7). Suppose -4*y + 91 = -f*p - 29, -3*p - 12 = 0. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50486177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -57 - -105. Suppose 0 = 11*g + 13*g - u. Solve 2*h + 0 = g*q + 8, -2*h - 4*q = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*m**5 + 10740*m**4 + 1300964*m**3 - 2394136*m**2 + 842310*m + 240100 = 0. Calculate m.\nAnswer: -245, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 + g. Let m be d(0). Suppose m = -z - 3*s - 6, -2*z + 3 = z + 2*s. Differentiate 0*o**3 + z*o**3 + o**3 - 3 with respect to o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000270917 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 2\/9  (c) -2\/7  (d) -7  (e) -215  (f) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yhs when three letters picked without replacement from {s: 2, y: 2, x: 1, p: 1, h: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 5*i**2 + 23*i + 5. What is r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90 and 8730?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10271597, 41086370, 92444319, 164345438, 256789721, 369777162, 503307755, 657381494?\nAnswer: 831998373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 630 and 4230?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5236824534 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23?  (a) 34\/7  (b) -0.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -2*w**3\/7 - 9832*w**2\/7 = 0.\nAnswer: -4916, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*(4\/(-10))\/1)\/(2358\/2358).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1603*p = -1601*p + 24 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 7:00 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.48 - -0.88. Let t = -331\/5 - -66. What is the third biggest value in t, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -9, 0.05, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*v - 19. Let t(y) = -y**2 + 9*y - 6. Calculate t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.04 + 0.04. Let i = -0.039 - 12.161. Let q = i + 12. What is the smallest value in 0.2, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.80414kg to tonnes.\nAnswer: 0.06480414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.74, -3, 3\/2, -11.\nAnswer: -11, -3, 0.74, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1548166636875.4 and 4.\nAnswer: -1548166636871.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -5. Let j be 136\/(-16) - (-2)\/4. Let z be 1 + -1 - j\/20. What is the closest to z in x, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 8*x**3 + 2*x**2 - 3*x - 4. Calculate n(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 13 = -17. Let t be (-392)\/(-48) - v\/(-12). What is the hundreds digit of 250 - 6*4\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6994231, -6994237, -6994243, -6994249?\n\"Answer: -6*o - 6994225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -116*a**4 + 5*a - 1 - 1 + 111*a**4 + (a**2 + 5*a**2 - 4*a**2)*(-76*a**2 - 620*a + 620*a) as d*a**3 + i*a + v*a**2 + s + r*a**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12816 and 144?\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 892 + 0?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + 0. Is (158\/(-3))\/(g\/(-21)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.2 less than or equal to -0.04465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5807*x**2 - 21*x - 39. Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w**3 - 99*w**2 - 131*w + 4. Determine k(26).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2500001*c - 2. Let z be f(-2). What is z rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**4\/12 + t**2\/2 + 91*t. Let l(g) = 6*g**2 + 4. Let i(m) = -l(m) + 4*r(m). Let x(u) = 21*u + 5. Determine i(x(a)).\nAnswer: -882*a**2 - 420*a - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -81620*g**2*l**3 + g**2*l**2 + 13*g**2 + 159*g*l**3 + 2*g*l**2 - 1182*g*l + 10*l**3 wrt g.\nAnswer: -163240*l**3 + 2*l**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 + p**3 + 2*p**3. Let d(w) = 5*w**3 - 3*w**2 - 2*w + 2. Let n(t) = d(t) - 6*j(t). Let l be n(-2). Solve l = -3*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (11 + -5)) + (2 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3 + 1)*(-3730*p + 7968*p - 3909*p - 2*p + 0*p + p + (-5*p + 2*p + p)*(5 + 2 - 5)) to the form y*p + i and give y.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**9*u*u**(8\/5)*u**(-13)\/u**(1\/6) assuming u is positive.\nAnswer: u**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -53 (base 8) to base 3.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of -q**3\/6 + 2*q**2 + 44*q. Let b be w(0). Solve -2*c + c = -b*g - 25, -2*g - 35 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(5\/7))\/(x*x*(x**(-2\/15)*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-376\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*l**2\/6 + 650*l + 126750 = 0. What is l?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 5, -5\/14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -10111011?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m + 14596 = 14479 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*q = 58, 0*q - 52 = -2*o - 4*q. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2022317 by 3.\nAnswer: -2022317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -14, -24, -20, 4, 54, 136, 256?\n\"Answer: k**3 + k**2 - 20*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*s + 3. Let l = 4 - 8. Let j = s - l. Solve -j*v + 0*v - 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.018387 decades in centuries?\nAnswer: 0.5018387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 12*g**2 - 8*g - 26. Give d(-4).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -1)*28\/7. Suppose -22 + v = -3*u + 2*r, -2*r + 12 = 2*u. Find the third derivative of 3*d**u + 23*d**5 - d**2 - 23*d**5 wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r - 57*r = 19*r - 21*r + 308 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 289 + -288. Let p(j) = -j**2 - 5*j + 10. Let h be p(-5). Let x = h + -6. Sort -1, -3, k, x.\nAnswer: -3, -1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 0\/(0\/5 + -5))*3. Suppose 0*m + 1\/3*m**2 - 1\/3*m**5 + 1\/3*m**z + 0 - 1\/3*m**4 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.24087 weeks in nanoseconds?\nAnswer: 15265678176000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 + -4.5. What is the third biggest value in 1.1, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/1 - -1) + -3. Let j be (n\/6)\/((-1)\/4). Solve -3*o - 4*t - 9 = j, -4*t - 3 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 226, 486, 746, 1006?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 0*t**2 + 1 + 2 - 4 + 6*t + 4*t**2 - t**3. Let p be x(5). Suppose 3*h - 4*z - 21 = 0, p*h - 27 = -2*z + 23. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4863, 17532, 38651, 68220?\n\"Answer: 4225*b**2 - 6*b + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3013443 + 1228*o - 3013443.\nAnswer: 1228*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/182 and 15\/14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -8*r + 56. Let i be b(7). Solve 4*q - 3*p = -i*p - 23, 4*p - 16 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 47, 119, 225, 383, 611?\n\"Answer: 3*y**3 - y**2 + 54*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, 12, 32276 in descending order.\nAnswer: 32276, 12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*i - 4*n, 0 = 3*i + 24*n - 19*n - 10. What is the second biggest value in -0.2, i, -1.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 328903 - 328884.0007. Let i = 19.8831 + -0.8831. Let f = q - i. Round f to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1995719.\nAnswer: 11, 397, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 33830 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**3 - 73621*a**2 - 1355049720*a - 1354976100 = 0. What is a?\nAnswer: -36810, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 784468.\nAnswer: 2, 196117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 6*p - 2. Let o(z) = -4*z**2 - 7 - 3*z**3 - 5*z**2 - 4*z**2 - 4*z**3 + 6*z**3. Let x be o(-13). Calculate g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s - 9*s - 50 + 50. Let d(z) = -8*z**2 - 4*z**2 + z - z. What is q(d(r))?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -211688 >= -211682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 4*z - 7. Let t be h(-5). Let j(k) = k**3 - 3*k**2 + k - 1. Let v be j(3). Which is greater: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**3 + 14*r**2 - 17*r - 30. Let m be v(-8). Let l = -39 - -17. Let z be 4 + (m\/(-11))\/(12\/l). What is the closest to -5 in 0.3, z, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (37290\/100 - -4) + (-3)\/(-30) is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -640*u**3 + 915*u wrt u?\nAnswer: -3840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 2*v**2 - 5*v + 3. Let q = -346 + 347. Let o be s(q). Which is the second biggest value?  (a) -3\/16  (b) 0.1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10*249\/12 - 2\/4?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 933674367.\nAnswer: 3, 211, 1474999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 594, 598, 608, 630, 670?\n\"Answer: n**3 - 3*n**2 + 6*n + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1869859 minus -328.5?\nAnswer: -1869530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 394356, 788710, 1183064, 1577418?\n\"Answer: 394354*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s + 338 - 408 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -266*w + 7. Let l be k(-1). Let u = 1369\/5 - l. Let 0 - u*d - 6\/5*d**2 + 2\/5*d**4 + 0*d**3 = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-1)\/6)\/(4\/16*2))\/(100\/(-120)). Factor 6\/5*a**2 + 0 + s*a**4 - 2\/5*a - 6\/5*a**3.\nAnswer: 2*a*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express s**3 + 2 - 5 + 2 + 5*s**3 + 9*s**3 + 2*s**2 in the form p*s + c + q*s**2 + z*s**3 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -90*i**2 - 7. Let q(f) = -2*f**2. Determine q(b(x)).\nAnswer: -64800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10, -242, -1036, -2728, -5654, -10150, -16552, -25196?\n\"Answer: -56*k**3 + 55*k**2 - 5*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + sqrt(1053) + (sqrt(1053) - (2 + sqrt(1053))) + sqrt(1053))*3 - (5 + sqrt(117) + 2*(sqrt(117) - (sqrt(117)*-2 + sqrt(117))) + 0)**2.\nAnswer: -3076 + 174*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 50*m**3 - 20*m + 26. List the prime factors of n(4).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 - 139*w - 972. Calculate i(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3067.0003073 + -3067. What is k rounded to 5 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -12. What is the first derivative of -16 + 10 + 4 + 5 - 9*q**l wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 61*g - g**2 - 68 - 71 + 139 to the form j + d*g + q*g**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -c**4\/12 + c**3 + 5*c**2\/2 - 7*c. Calculate s(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/2015 - 5672\/751595. Let t = s + -6314\/3357. Calculate the common denominator of t and (-42)\/(-10)*(-30)\/20 - -3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 2*u - 1. Let r be 2\/(-4) - 33\/(-22). Let k be t(r). Suppose k*i = -5*v + 7, 78 = 5*i - 3*v - 17. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m - 11. Let f be o(-5). What is the units digit of (-100)\/(f\/2)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -299*n**3 - 2*n**2 - 939*n - 5860362.\nAnswer: -897*n**2 - 4*n - 939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of h**4\/12 - 4*h**3\/3 + 28*h**2 - 4*h. Let o(g) = -2*g**2. What is d(o(n))?\nAnswer: -4*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176585169 is divided by 117?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11122201 + -232132?\nAnswer: 10230003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24967 is divided by 4796.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/((-1)\/(-13))*(52 + -40). Let t = -75 + v. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - 8*m - 8. Let h be c(-5). Suppose -h*w + 32 = 4. Suppose 0 = j + w*k + 24, -12 = 2*j - 3*j + 5*k. Is -11 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-8))\/((p*p*p**3)\/p)*p**3*p**(-1\/15)\/p*p*((p**(-2\/3)*p)\/(p\/p**(3\/2)))\/(((p*(p*p**(1\/3))\/p)\/p)\/p**(1\/13)) assuming p is positive.\nAnswer: p**(3319\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -223 take away 120.819?\nAnswer: -343.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 85\/20 - 1\/4. What is the derivative of -15 - t + 2*a + 4 + 15*a wrt a?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6144 divided by -3?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-182)\/3549*(-5460)\/(-7000).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28723309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 27 + 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*n**3 - 767*n**2 + n + 5167.\nAnswer: -42*n - 1534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a*p**2*z**2 - a*p**2*z - 8*a*z + 3*p**2*z - 42*p*z**2 wrt z.\nAnswer: 2*a*p**2 - 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + (5 + (4*(0 + sqrt(98)))**2 - ((-2 + 1 + sqrt(98))*-5)**2)).\nAnswer: -4520 + 1750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 276*w**3 - 303*w**2 wrt w.\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of -b**6\/120 - 3*b**5\/20 + 11*b**4\/12 - 4*b**3\/3 - 16*b**2 - 105. Determine y(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7404 - 170085?\nAnswer: -161581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54384 by 9064.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24156 by -1502.\nAnswer: 12078\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5819009 to the power of 1\/2, to the nearest integer?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 69 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + sqrt(304) + (-4 + 1 + sqrt(19))*-4)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 29. Suppose 0 = -5*k - 5*c - 620, 5*k - 3*k - 4*c = -248. Find the common denominator of -83\/20 and k\/22*8\/q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 9:09 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 4*k. Let q be b(4). Let l be q + 3 + 944\/(-336). Suppose 4*i + 11*f = 13*f + 8, 5*i + 3 = -4*f. Is l greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-54)\/(-85) + (-3720)\/15810. Sort -2\/5, z, -15, -26, -2 in increasing order.\nAnswer: -26, -15, -2, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005801 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -15842 - -62\nAnswer: -15780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-336)\/72*12\/8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -3*f - 23 + 6, 5*s = -3*f - 5. Suppose -5*u + 6*l - s*l = -24, -2*l - 18 = -4*u. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 + u**3 + u**3 + 5147 - 5151)*(24 + 10*u - 24)*(1 + 0 + 1)*(0*u + 2*u - u).\nAnswer: 40*u**5 + 20*u**4 - 80*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -113938, -113692, -113446?\n\"Answer: 246*l - 114184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*c + 3*t = -226, 4*t + 184 = 4*c. Let u = -14 + c. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/2)\/p*p)**(1\/16))**(4\/25) assuming p is positive.\nAnswer: p**(-1\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f + 2*o - 10, -20*o + 3 = -19*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35052 divided by -8.\nAnswer: 8763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1408 and 627296?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*p**3 + 91*p**2 + 2*p - 90*p**2 + 118 - 114 to the form j*p**3 + n*p**2 + y + x*p and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -99 - -110. Suppose -57 - 59 = -a. What is the remainder when a is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.323 + -0.048. Let w = o - 0.35. Round w to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = t + 9 - 57, 3*t = n + 111. Calculate the remainder when 38 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, d: 12, y: 1}. What is prob of picking 1 z and 1 d?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 19335846*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 223 = 18*n - 101. What is the least common multiple of n and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 0 = -2*b + 2, -b - r + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93016017?\nAnswer: 3, 10335113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -168 divided by -42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**2 + 75*y = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3.200726 millimeters?\nAnswer: 3200726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6440 times 85.356\nAnswer: 549692.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-105)\/63 + 4\/6. Let v = 1.2 - -16.8. Let p = v + -21. Which is the nearest to 0?  (a) d  (b) p  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 21106.76 litres to millilitres.\nAnswer: 21106760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -123 (base 5) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29014*j + 5 = 29009*j, -q = -7*j - 37 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 11 - 1. Let a(c) = -8*c + 19. Let u(s) = -3*s + 7. Let y(v) = -4*a(v) + 11*u(v). Let b(w) = -1. Determine p*b(d) + 3*y(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*y**2 + 3*y**2 - 7*y**2 - 94*y + 217*y + 163*y as z*y + m*y**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*j**4 - 123*j**4 + 14*j**4 + (-761 + 761 - 42*j**2)*(-j - j**2 + j).\nAnswer: -58*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of u**5\/60 - u**2. Let q(g) be the first derivative of 2*g**3 + g**2 + 3*g - 21789. Give -4*k(r) + q(r).\nAnswer: 2*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 956 <= 956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n + n - 1 + 0*n. Suppose 5*q = 2*s - 1, -4*q + q + 3 = 0. What are the prime factors of r(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 36 - 40376?\nAnswer: -40340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -765 + 10820?\nAnswer: 10055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4346640 divided by 10\nAnswer: 434664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 + 2*j**3 - 4*j**3 + (0*j**2 + 0*j**2 + 2*j**2)*(0 + 0 - j) + 4*j**3 - j**3 - 4*j**3)*(1875 + 7132 - 305).\nAnswer: -43510*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011110110101001110011 - 1?\nAnswer: 1011110110101001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-62)\/(-3) + 4\/3 - 0 - -2. Solve -72*u = -80*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1865 and 35.\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 182  (b) -12  (c) -447\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 29*d**2 + 2*d. Let b(i) = 3*i**2 - 4*i**2 - 26*i + 0 + 3*i**2 - 13. Let v(w) = -w**2 + 12*w + 6. Let g(a) = -6*b(a) - 13*v(a). What is g(c(y))?\nAnswer: 841*y**4 + 116*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 64282505 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -9*m + 1. Let c be n(1). Let z = -14 - c. Let q(f) = f**2 + 4*f - 9. Let o be q(z). Solve -o*t - 5 = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -9 + 2 - (2 + -2). Let i = -5 - m. What is the units digit of (-10)\/3*(-3)\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 149467?\nAnswer: 137, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rj when two letters picked without replacement from dknlddjknrknrnr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.64 and -8.\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, p: 11}. Give prob of picking 2 p.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from mysdaxsxyddxaxam.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 38 = 4*q, -q + 4*o = -0*q + 13. Let j = 518.7 - 521.7. Put j, q, -2\/5 in ascending order.\nAnswer: j, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.71 + 2.597. Let m = n + -0.087. Sort m, -3, -2, 5 in descending order.\nAnswer: 5, m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(65))\/sqrt(5))**2*-5 - (-1 + (-2 + sqrt(13))*-5).\nAnswer: -269 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 205 - 78. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -3*y + 8. Let r(a) be the first derivative of -5*a**2\/2 + 15*a - 338. Give 6*r(l) - 11*z(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2782)\/2 - 1)*(-217 - -213). Suppose -11*x + f = 420. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d. Let k(g) = g + 1390336. Calculate q(k(y)).\nAnswer: -4*y - 5561344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 60126139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -0.4, -0.5, 40 in decreasing order.\nAnswer: 40, 1\/5, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24956, 99748, 224394, 398894?\n\"Answer: 24927*c**2 + 11*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -45) + (3464 - 3536).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -9. Suppose v + 33 = u*v. Suppose 2*t + 22 = 3*t. What is the greatest common factor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -316*i - 13458. Give g(-38).\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.317 + 105414.\nAnswer: 105397.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 9*t - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1277 + 479. Let m(y) = -3*y**3 - 8*y**2 + 10. Let i be m(7). Let b = f - i. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 3*f**2 - 7*f + 3. Let u be l(5). Let g(n) = n**2 + 30*n - 36. Let b be g(-33). What is the highest common divisor of b and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10\/4 - (4 + -2))*2. Let s be (-8)\/(-4) + u*3. Suppose 0 = 5*w - 4*k + 120, -56 = 3*w - s*k + 3. Is -28 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -405822 - -3?\nAnswer: -40581a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - g = -18, -4*i + 5*g + 3 - 9 = 0. Let v(f) = 2*f**3 - 2*f**2 - 2*f + 2. Let u(a) = -6*a**3 + 7*a**2 + 7*a - 7. Calculate i*u(h) - 14*v(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6430235 (base 7) in base 11?\nAnswer: -4933aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/4*(-1)\/(-285))\/(60449\/(-604490)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (0 - -1 - -2) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -912 and -0.2.\nAnswer: 182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 3*r + 3. Let x be v(-3). Suppose -x*u = -11 - 1. Solve 3*t - 4*g + 18 = 0, 2*g - 5*g = -u*t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(450)*1 + 3.\nAnswer: 3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 26806595 divided by 6\nAnswer: 26806595\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 407 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + 9\/((-27)\/(-12)). Let h = -4921 + 4923. Solve s = -h*r - 0*r - 5*t, -4*t = -8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5764.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 19*i**3 + 6148*i - 6149. Determine g(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**3)**(1\/16)\/(v**5*v**9) assuming v is positive.\nAnswer: v**(-221\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07238125  (b) 3  (c) -1  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-298)\/1341*(2 + 4))\/(2\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -899 - -921. What is the greatest common divisor of a and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5690 = -17*z + 14054. What is the remainder when z is divided by 217?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 263 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 - 114 = k, 3*k + 67 = 5*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r - 22. Let j be b(12). Suppose -3*i - 4*y + 41 = 3, j*y = 5*i - 46. Suppose 0 = -w + 24 + i. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14809781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 103*z + 1073. What is n(-8)?\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/(-7)*(-63)\/18. Let t = 2142 - 2134. Solve b*c = t*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1 + (0 + sqrt(405) - sqrt(405)) + -1)**2 + -5 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -256.602 + 259.602. Suppose 0 = 4*u + 2*p - 22, -6*p + 15 = -p. Sort -2\/3, u, 0, j.\nAnswer: -2\/3, 0, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 + 69 + 0 + -11 - -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -444, -889, -1336, -1785, -2236, -2689?\nAnswer: -3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1123660147?\nAnswer: 23, 157, 311177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v**3 - 6*v**2 - 5*v - 16. Let a be x(-5). Let o = a - 113. Is o < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7595767 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 m(p) = p**3 - 13*p**2 + 26*p - 36. Determine m(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-6)*d\/d**(2\/17))\/(d**(-5)*d**(-6)))**(-7\/5) assuming d is positive.\nAnswer: d**(-819\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1153620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 106 = 66 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - (-7)\/(-4)) + (-2349)\/(-108). Let d(t) = -t**3 + 23*t**2 - 21*t - 27. Let k be d(s). Let m(o) = -o - 7. Give m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -40.229 and 0.74?\nAnswer: -29.76946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.79 and 37.9.\nAnswer: 39.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 178713.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-411)\/548)\/(1 + (-47)\/8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 224598 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -14133*q. Let k(x) = -2*x**2. Determine k(z(r)).\nAnswer: -399483378*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 119 + -117. Let i(t) = -12*t + 39. Let d be i(z). Solve 7 = 4*v + d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/5383430 and 73\/2153372.\nAnswer: 10766860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a**2 + 3. Let o be (0 - 9)*(-4)\/12. Suppose 2*n - 5*x - 38 = 0, 0 = -3*x + 6 - 24. Let y(g) = -3*g**2 - 4. What is n*s(d) + o*y(d)?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - p + 5. Let r be x(0). Suppose -2*j + 275 = 3*j. Suppose 0 = -0*h - r*h + j. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -1. Let g be 11 - (-1 + 0 + f). Suppose 402*p - 146*p + 312 = 164*p + 170*p. Solve 0 = -p*b - h + g, -2*h - h = 4*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 152*y**2 + 32*y - 85. What are the prime factors of v(3)?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 48*z**3 + 38*z**2 - 5*z. Determine k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 48 = -2*l, -2*w - 12*l = -8*l - 54. Let c(v) = -105*v**3 - 25*v**2 + 25*v + 25. Let t(a) = 13*a**3 + 3*a**2 - 3*a - 3. Give w*t(y) + 3*c(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -4*v + 20 + 4, -3*v + 13 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 20*q**5 + 35*q**4 - 60*q**3 - 190*q**2 - 160*q - 45 = 0?\nAnswer: -1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28968)\/142*(-5)\/30?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/(-15) - (-45)\/75)\/(12\/9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1*1*sqrt(60)\/sqrt(6))\/(4*(sqrt(2) - sqrt(150)\/sqrt(3))))**2.\nAnswer: -sqrt(5)\/2 + 4101\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-9)\/(-6))\/((-651)\/56 + 12). Suppose -3 = -v, 5*j + v - 4 = 24. Let i(m) = -2*m + 10. Let q be i(j). Solve r*y + 12 = -q*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -t + 26 + 15, -57 = s + 3*t. What is the units digit of s\/6*6\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*g + 12. Suppose 2*d = -2*v + 72 + 88, -v - g*d + 71 = 0. Let o = v + -6. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7977 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.557236028 - 145.\nAnswer: -146.557236028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 11:46 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + l + 2. List the prime factors of j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 3*z, 2*x = 3*z + 2*z. Suppose x = 10*s - 3*s - 504. Suppose 3*l = -3*n + 45, n - s = -3*n - l. Solve 0 = -5*r + v - n, 27 = -5*r + 2*v + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -18*m**5 - 162*m**2 + 45*m - 5. Find the first derivative of f(j) wrt j.\nAnswer: -1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5362697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1277, -9984, -33609, -79610, -155445?\nAnswer: -268572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b. Let n(q) = -78*q - 36. Let i(t) = 11*t + 5. Let u(k) = 36*i(k) + 5*n(k). Determine -2*u(g) - 5*z(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7121417?\nAnswer: 7121417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 90950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 473*b**2 - 257*b**2 - 980 - 181*b**2 - 3420*b.\nAnswer: 5*(b - 98)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, 0.16, 17.777 in decreasing order.\nAnswer: 34, 17.777, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-77)\/(-28) + 1\/4. Suppose 0 = -n + w*n - 10. Suppose 3*v + 7 - 22 = 0. Solve -3*d = v*a - n - 0, d = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -188590761, -188590758, -188590755, -188590752?\nAnswer: -188590749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 22 = -23. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 3*t - 11, -5*r + 4*r - 1 = 3*t. Which is the third biggest value?  (a) -0.02  (b) 1.1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - m. Let p be c(0). Suppose -5*z + 3 + 7 = p. Solve -2*w + y = 2, z*w + 5*y + 5 - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 376073, 376078, 376087, 376100, 376117, 376138?\nAnswer: 376163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-17 - 2075\/(-100))\/(3\/4). Suppose 0 = 3*v + 15, -5 = -5*a + v + 30. Let y be (a\/(-5))\/((-1)\/5). Solve -q + 4*w + j = 0, 2*w = -y*q + q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 19*y**2. Let z(c) be the third derivative of c**5\/15 - 5*c**3\/6 + 3*c**2. Let p(k) = 3*k**2 - 4. Let v(t) = 5*p(t) - 4*z(t). Determine n(v(d)).\nAnswer: 19*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 3505*o**2 - 4550*o + 1045 = 0?\nAnswer: 209\/701, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12244896 is divided by 151.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3578, -11179, -23794, -41411, -64018, -91603?\nAnswer: -124154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/1529 and -38\/417.\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 13. What is the tens digit of -1 + -2 + c + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/4682 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 26951624 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 192\/1120*-42*(-5)\/(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1*12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4575\/1098 - (6 + (2 - 4))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/sqrt(5) - sqrt(32))**2 - ((sqrt(250)\/sqrt(5))**2 - sqrt(2)) - (sqrt(10)\/sqrt(125) - (sqrt(2) - (sqrt(2) + sqrt(2)*-2)*5)**2).\nAnswer: 4*sqrt(2)\/5 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2527600 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18129*w + 8502*w + 9057*w - 5263*w - 2051*w to h*w + u and give h.\nAnswer: 28374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*p = 7*p + 156 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 4)*(-2 - 2 + 3)*(-6*n - 7 + 7).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -36 + (29 - 4) + 819\/81\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 1.2, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 6*y + 4 = 0. Let k(s) = 0*s - y*s + 2*s. Let x(a) = 6*a**2. Determine x(k(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 27288 and 5.428?\nAnswer: 148119.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3011*b**3*u + 9*b**3 - 33021*b**2*u + 2*b**2 + 2*b wrt b.\nAnswer: 18066*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1619 - 1604) + -75 + 1 + -12 + -1 + 3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 11:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + 49 + -49 + 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 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: Calculate -2311830 divided by -1.\nAnswer: 2311830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 40 = -l. Suppose 5*p + 2*b = 38, -4*b = -2*p + b - l. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.14  (b) -0.3  (c) -4193  (d) -3  (e) 33  (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176 = 5*k + 31. What is the remainder when 84 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -128*t**2 - 711 + 711 in the form h*t**2 + u + p*t and give h.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -774*n - 4*l = -770*n + 24, -2*l - 2 = 0. Which is the smallest value?  (a) -2\/13  (b) n  (c) 39  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 3 = 6*c. Let f = 24\/611 - 3441\/40937. Is f >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -20. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - ((-462)\/90 + -3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19761\/55 - 3627\/10. Let n = -467\/4 + 227\/2. Find the common denominator of n and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 742038435.\nAnswer: 3, 5, 5496581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 72*h**2 + 4*h - 4*h - 58*h**2 in the form m + v*h + o*h**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168) - sqrt(42))*-5)\/sqrt(6) + 3.\nAnswer: -5*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8.1?  (a) -5  (b) 2.6  (c) -1\/9  (d) -0.5  (e) -0.348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*(sqrt(420)\/(2*sqrt(12)))\/(sqrt(20)*4).\nAnswer: -3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 181082821 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 2) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-13)\/((-10)\/8 + 1). Let p(u) = 4*u + 24. Let j be p(-15). Let v = j + i. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 313 + -43. Suppose -3*g = -3*o - b, -g - 4*g - 2*o + 485 = 0. Are 95 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 11*o**3 - 5*o**2 - 7*o + 7. Suppose -5*c + 7*c - 32 = -3*a, 2*a - 2*c - 8 = 0. Let y(f) = 17*f**3 - 8*f**2 - 11*f + 11. Give a*t(b) - 5*y(b).\nAnswer: 3*b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 22016.3332 + -15229?\nAnswer: 6787.3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 21\/(-35) - 3534\/(-40). Let p = h - 87. Factor -3\/4*a**5 - p*a**4 + 3\/4*a**3 + 0 + 0*a + 3\/4*a**2.\nAnswer: -3*a**2*(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -882000*z**2 - 282487800*z - 22618865405.\nAnswer: -5*(420*z + 67259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 573241?\nAnswer: 37, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4354 + -22?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1c42d (base 14) to base 9\nAnswer: -118887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72040477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15829 (base 12) in base 11?\nAnswer: -20a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: 3 times -4.7319\nAnswer: -14.1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.31 + 0.19. Suppose 4*f - 6 = -26. Put x, -3\/7, f in ascending order.\nAnswer: f, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47 + 62 + -19 - 2*(-11)\/(-2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + -3. Let i = -1 + k. Let l = 2477\/4 - 619. Sort 2, l, i.\nAnswer: i, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -34332 - 3?\nAnswer: -34335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c. Let o(b) = b. Let j be 7\/(-9) + (-4)\/18. Let w be ((-2)\/j - 3) + -2. Calculate w*o(x) + 2*l(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1838 at least -5515\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 547602 is divided by 1022.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a = -25*a + 144. Calculate the highest common divisor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (24\/30)\/(2\/20). Let i be 34\/b - (-2)\/(-8). Suppose -i*c + 20 = -2*c. 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: Which is the smallest value?  (a) -122  (b) -4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -41.972 and 607?\nAnswer: 648.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x + 8 = 23*x. Let f be (-22)\/x*(-1 - -5). Let b = f + -24. Let r(m) = -m**2 - m + 1. Give r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 11*z**2 - 11*z + 12. Let r be d(9). Suppose 6*g - g - r = 0. Solve 4*u + 25 = 5*c + 70, -u = -2*c - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.793 and 0.23?\nAnswer: -0.18239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(121) - (sqrt(121)*2 + sqrt(121))*-5 - sqrt(121)) + sqrt(121)))\/(sqrt(110)\/(sqrt(250) + (sqrt(250) - sqrt(250)*1))).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 3.76. Let i = 0.06 - w. Let h = 107 - 533\/5. Which is the nearest to h?  (a) -1  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/2856*-8)\/(22\/198).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*b + 23*b - 16*b)*(b**3 + 2*b**3 + 4*b**3).\nAnswer: -329*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3159)*-2*1)\/(-6*1*sqrt(3)*2))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2922.02702 plus 2.92?\nAnswer: -2919.10702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(108) - sqrt(12))*1)\/(sqrt(294) + sqrt(294)*3).\nAnswer: sqrt(2)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4325198*r**3 - 7196523*r**3 - 6142976*r**3.\nAnswer: -9014301*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 3:10 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((16\/16)\/2)\/((-7)\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2 - 6 = -2*b, 4*q - 3*b = 16. Find f such that -6*f**4 + q*f**4 - f**2 + f**5 - f**4 + 3*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3724 and 63994?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j - j + 36 = 0. What is the tens digit of 2\/j - (-1958)\/33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4499.79 times -0.5?\nAnswer: -2249.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 2\/9, -0.08, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 13, v: 5}. What is prob of picking 2 o and 1 v?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 405*y**2 + 12192*y + 1263. Determine k(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x**2 - 2*x + 2. Let p(j) = j**2 - 4*j - 3. Let a be p(4). Calculate w(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 16498\/1430 + 2\/5. Let f = q - 122\/11. Let y = 44 + -265\/6. What is the closest to 1 in y, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -z**7\/42 - 89*z**6\/24 + 181*z**5\/12 - 455*z**4\/24 - 1314*z**2 + 1. What is g in j(g) = 0?\nAnswer: -91, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -407076.\nAnswer: -1\/203538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -6, -10.\nAnswer: -10, -6, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1076118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*s**3*z + s**3 + 8*s**2*z - 2*s**2 - 8*s*z + 12*s - 7*z wrt s?\nAnswer: -108*s*z + 6*s + 16*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 - 58 - 22 - 70 + 8.\nAnswer: 3*p**2 - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of j**5\/20 - j**4\/6 - j**2\/2 + j. Suppose -5*z + 4*z - k = 2, 5*k = -25. What is the units digit of q(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + -12000?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 97*q - 55. Is r(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -362218016*r**2 + 387978844*r?\nAnswer: -724436032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1822 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -7 + 0*i - i**2 + 8*i - i. Let v(n) = n**3 + n**2 + 1. Let o be v(0). Let l be (3 + -2)\/(o\/5). Give p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**4\/4 - 3*y**3\/2 + 3*y**2 + 6*y = 0. Calculate y.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r - 296 = -320 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of -27*p**6\/200 + 39*p**5\/50 - 4*p**4\/3 + 16*p**3\/15 - 56*p**2 - 41*p. Factor l(g).\nAnswer: -(g - 2)*(9*g - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77940 divided by -866\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4*h + 19. Determine l(20).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -255, 9, -0.3 in descending order.\nAnswer: 9, 0, -0.3, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 + 29. Suppose -2*n - 290 = -5*l, -4*n + 2*n + 10 = 0. Suppose 43*v - l = 40*v. Solve 0 = 4*g - u*g + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -650\/7 + 2593\/28. Suppose -2*i + 27 = 5*h, -11 = i - 3*h + 3. What is the second biggest value in w, i, 4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 42)\/((88\/(-24))\/11). Suppose -z*v = -130*v + 276. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/15)*g**(-15)\/g assuming g is positive.\nAnswer: g**(-238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-285)\/(-76) + (-3)\/12. Let i = 12\/11 + -51\/77. What is the nearest to 1\/2 in b, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: 1.3753 * 4\nAnswer: 5.5012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56991 is divided by 483?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/437944 and 17\/33688?\nAnswer: 437944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(3\/2))**(31\/5)*(v**(-2\/5)*v)**9 assuming v is positive.\nAnswer: v**(147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 363.08667 to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9  (b) 1  (c) -6657\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -4 + -5 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3*sqrt(2736) + 3 + -4*(sqrt(2736) + 0) + 3*-3*sqrt(2736) + -3*sqrt(2736) + 2))**2.\nAnswer: -57000*sqrt(19) + 24693025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(2*(-1)\/138*54216\/3012)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-7 - (-214)\/30). Solve 0 = 2*g + g + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1032, 948, 864, 780, 696?\n\"Answer: -84*n + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 311*x + 1. Let v(u) be the first derivative of -u**3\/3 - 1041. Give v(j(d)).\nAnswer: -96721*d**2 - 622*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 8*n - 9. Let h be q(-9). Let w be 26\/4*(4 + -2). Suppose -3*g + w = 2*f - 4*f, h = 2*g + 2*f - 2. Are g and 3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 952 (base 16) in base 8?\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f\/(f\/(f\/(f*f**(2\/3))))))*f)\/(f**(8\/5)*f) assuming f is positive.\nAnswer: f**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02538 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6161*g - 6304*g = 2288 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 284737358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121111 + -11110?\nAnswer: -202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(((sqrt(153)*4 - sqrt(153)) + sqrt(153))*1 - sqrt(153)))\/(sqrt(900) + 4*((sqrt(900) - 1*sqrt(900)) + sqrt(900))) + 3)**2.\nAnswer: 9*sqrt(17)\/5 + 1053\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 10, n: 4}. Give prob of sequence nu.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, c: 4}. Give prob of picking 2 g and 1 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-2)*c)\/c**(-2\/13) assuming c is positive.\nAnswer: c**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10210222 - 1200220?\nAnswer: 2010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 759 + -445. Let v = -314.00266 + r. What is v rounded to 4 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35624120 divided by -127229?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -122*r**2 + 3*r - 2. Let a be w(1). Round a to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1674*l**2 - 1302*l + 8857596.\nAnswer: -3348*l - 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 2*y - 28. Let a = 1689\/2 + -890. Find the common denominator of a and (-3)\/9*y\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from qqqqaqaqqaatuuqq.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-6)\/(u\/u**(-2\/25)))\/(u*u**(1\/9)*u*(u*u*u**(-3\/5))\/u*u) assuming u is positive.\nAnswer: u**(-2383\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -220*c - 634*c - 114*c - 375*c.\nAnswer: -1343*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91336554.\nAnswer: 2, 3, 1433, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 456\/380*(5 - 1020\/(-36))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**4 - 368*m**3 - 202798*m**2 + 1465432461*m wrt m?\nAnswer: 12*m**2 - 2208*m - 405596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + g**2 - 2. Let w be k(0). Let x(f) = -25*f - 3. Is x(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-8))\/((-27)\/(-3672))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**3 - x - 80. Let n be d(0). Let a = 133 + n. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -x**5\/20 + x**4\/4 + 3*x**3\/2 + 2*x**2 + 6*x + 3. Let z(r) be the second derivative of o(r). Factor z(n).\nAnswer: -3*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 2, 3\/5, 19, -54, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1040 - -991) + 33 + -1 + 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - -4)*(-6)\/(-8). Let a be (-2)\/(704\/(-356) - -2). Let v = a + 91. Do v and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 10:09 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 - 5*l**2 - 2*l + 1. Let n = 38 - 41. Does 4 divide u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2426751 is divided by 2426748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-44)\/(-165))\/10\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -9990 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 11*s**2 - 11*s + 11. Let c be h(-12). Let b be c\/((-4)\/(-12)*-1). Let d(l) = -l + 5. Let f be d(b). Sort -3, 0, f in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/3*f**2 + 1\/3 + 8\/9*f = 0. Calculate f.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 542236 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from 514717795.\nAnswer: 514717791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -371435 divided by -74287\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4)*z**2)\/((z*(((z\/z**(5\/2))\/z)\/z)\/z)\/(z*z**4*z*z)) assuming z is positive.\nAnswer: z**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 - 2*v + (0*v - v - v)*(2 - 1 + 1) + (-3 - 3 + 1)*(2 - 2*v - 2) - 2*v + 3*v + 2*v to j*v + i and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(2\/11))\/(c**(-13)*c) assuming c is positive.\nAnswer: c**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 444*y**3 - 5 - 7 + 20.\nAnswer: 444*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -0.7576\nAnswer: 5.3032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 21*m**2 - 47*m + 17. Calculate q(-23).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38733.\nAnswer: 3, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 300291437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ozozoooozoozoo. What is prob of sequence ozz?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -8*i**2 + 98*i - 258. Let v be o(7). Let z = 336 - -132. Calculate the greatest common factor of v and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h - 1. Let i be v(-2). Suppose -5*t + i*t + 24 = 0. Suppose 2*g = 6*g - t, -4*g = -4*p + 80. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 2 = 2*x. Let z be 6\/8 + 17\/x. Solve -z*t + 2*t - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) - (1 + sqrt(500))*3) + -4 + sqrt(500)*4)**2.\nAnswer: -280*sqrt(5) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48008 by -4.\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -200 - 2490. Suppose -1595 - p = -3*j. Is (j\/(-6))\/(-3)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0641 - -317.9359. Let l = 318.3 - f. Which is the third biggest value?  (a) -3  (b) 4  (c) 2  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 687 is divided by 233.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 463186620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -493 + -0.3.\nAnswer: -493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lfvvvlevvfvvffvlvv. What is prob of sequence llv?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 30*s**2 - 2*s - 3. Let r(u) = u - 1. Let d(o) = -p(o) + 3*r(o). What is the second derivative of d(g) wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 10 = 5*s - s, -4*l + 2*s = -30. Solve 4*d - 7 = r, 0 = -2*r - l*d + 25 - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11121*l**2 + 12603*l**2 - 7902*l**2 as b*l**2 + f + r*l and give b.\nAnswer: 15822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -120, -18, -155, 5 in descending order.\nAnswer: 5, 2, -5, -18, -120, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111 (base 2) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + -33 - (6 + 2 - (-13 - -6)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q + q - 2 + 0 + 440*q**2 + 1. Let i be ((-1)\/(-2))\/(2\/8). Is j(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*t = 14*t - 106*t - 415 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -i + 7. Let z = i - -5. Let c(n) = 2*n**2 + 1. What are the prime factors of c(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60807334 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -215 (base 8) in base 16?\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 62128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that k**3\/2 + 408*k**2 + 166769*k\/2 + 485727 = 0.\nAnswer: -451, -359, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of 1502*x**2 + 978*x + 2221. What is the first derivative of r(t) wrt t?\nAnswer: 3004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 121540 + 1?\nAnswer: 121541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/(-10))\/((-53)\/(-265)). Suppose 0 = -2*h + 1 - i. Let c(j) = -j**2 - 6*j - 3. Give c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/576 and 57\/1312.\nAnswer: 23616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3127046 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: Let y(d) = d**2 + 4*d - 4. Let t be y(-5). Suppose 2*z - 3 = -t. Sort z, 4, -4 in descending order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or 4847.8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 142.86444 months to decades.\nAnswer: 1.190537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -11*t**6\/6 + t**2\/2 - 10. Find the second derivative of v(g) wrt g.\nAnswer: -220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1140623 - -1140576.9671. Let o = 51.032885 + m. Let h = o - 5. What is h rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from sfccscccfscc?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 30495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 21 = 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 1:58 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -276*f + 153*f + 121*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*y + 35*y = -30*y + 1284 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*c = 3*c + 325, 2*c - 65 = -l. Suppose 5*o - 55 = 2*n, 3*n - 37 = -4*o + 6*n. Calculate the highest common divisor of o and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -63*(-26)\/117 - -20855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**2 + 16*w + w**2 + 1 + 1202*w**3 + 16*w**4 - 15*w - 1113*w**3 in the form u*w**3 + y*w**4 + g + d*w + q*w**2 and give u.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m + 11. Let h be o(6). Suppose 2*i + 190 = 5*i - r, 5*i - 320 = h*r. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**6*h)\/(h*h\/((h**2\/h)\/h*h)*h))\/(h\/(h**0\/h*h))**(-41\/2) assuming h is positive.\nAnswer: h**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.3 - -4.7. Let y = -5.982 + k. Round y to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 2.01. Round t to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 8:54 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qebbfbbbbfbebqbbbbb. Give prob of sequence fbbf.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1922 is divided by 1918.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -21) + -9 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001151860609 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -87279, -163023, -238767, -314511, -390255?\n\"Answer: -75744*n - 11535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 80176395097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1122 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 546\/11, 95, -2.4 in ascending order.\nAnswer: -2.4, 546\/11, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**3 - 49771*d**2 - 1343160*d - 3581568 = 0.\nAnswer: -49744, -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + g - 2*g + 6, -17*g + 90 = -7*g. Suppose 22 = -3*j - 2*c, 3*c = 4*c + 5. Sort -7, i, j, 5 in descending order.\nAnswer: 5, i, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**5\/5 + a**4 - 9*a**3\/5 - 81*a**2\/5 - 108*a\/5.\nAnswer: a*(a - 4)*(a + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 - 12310432?\nAnswer: -12311011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4000631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23516 - 23518. Which is the nearest to -1\/35?  (a) 3  (b) -4\/7  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40733 times -4\nAnswer: -162932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by 126\nAnswer: -17\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 5, -1827 in ascending order.\nAnswer: -1827, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-114)\/9)\/(4\/38). Let d = f + 139. Find the common denominator of d and 34\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 6*a - i - 9 = 0, 0 = 3*a + 5*i + 6. Suppose a*y = -4*l + 30 - 3, 0 = 5*l + y - 20. Solve -5*h = l*t + 5 + 11, 5*h - 4*t = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -499 + 1995290.\nAnswer: 1994791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1757\/228 + 88\/57. Which is greater: s or 4\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2463 = 3*n - 4*n. Suppose -14*u + 30617 = n. Suppose -o = -u - 1170. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 814.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 41639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 AM and 2:29 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 - 8*v**2 + v + 1. Let a be p(-6). Let l be (-5727)\/a - (-12)\/(-42). Let z = 74 - l. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xwzxiizwzwwwwxzww. Give prob of sequence ixwx.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/4)\/d**(1\/16)*(d\/(d**15\/d))\/(d\/(d**(-2\/35)\/d)) assuming d is positive.\nAnswer: d**(-8607\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -4 - -10) + (-4 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h - 3. Let z = 9 + -15. Let k be 8\/z*6\/(-2). Suppose 4*s - k = -16. What is c(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 109 - 41. Let b = 227 - s. List the prime factors of b.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + 2*b**2 - 10*b - 4. Let i be j(-4). What is the second derivative of -i*q - 7*q**4 + 2*q + 19*q**4 wrt q?\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -296 + 552?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -274 + 316. Let a be 80\/42 - 2 - (-676)\/k. Calculate the greatest common factor of a and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12501 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000751985 to 6 dps.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 125890318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6926?\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100000011 - 1000111?\nAnswer: 10010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 70.1 + -70.3. Which is the second smallest value?  (a) 2  (b) 0.2  (c) r  (d) -200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31644092 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -59*x**2. Let w(p) = 2*p. Give m(w(u)).\nAnswer: -236*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 AM and 7:24 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**2. Let b(y) be the second derivative of y**3\/6 + 9*y**2\/2 + 23*y. Let r be b(-8). Let j(i) = -7*i - 2 + 3 - r. Determine t(j(u)).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g + 19*g = 3*x - 336, -238 = -2*x - 4*g. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*u*w**3 - u*w + 26*u + 197*w**3 + 2*w**2 - 2608 wrt u?\nAnswer: -4*w**3 - w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 76 - 136. Let t = c - -31. Does 4 divide (-2)\/((-4)\/(-10)) - t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, l: 3, w: 4, h: 1}. What is prob of picking 2 e and 1 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 0.6. Suppose 3*i = -11*i + 28. Let j be 2\/(-12) - i\/(-3). Which is the closest to j?  (a) s  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 - 25. Suppose 3*i + t = 13, -66 + 23 = -3*i + m*t. Suppose -i = -3*o + 12. Solve 9 = p + 2*r, 4*r - 3*r - o = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 5*c**2 - 8*c + 17. Is 7 a factor of g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -8281*s**4 + 290199*s**3 - 294298*s**2 + 12516*s - 136 = 0?\nAnswer: 2\/91, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -3, 99632, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -6*y - 5. Let s(i) = -2*i + 4. Let m(g) = 115*g - 220. Let c(b) = -2*m(b) - 110*s(b). Calculate d(c(k)).\nAnswer: 60*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 573043 is divided by 1254.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2901600*c + 4*c**3 + 0*c**3 - 2901677*c.\nAnswer: 4*c**3 - 77*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -336 + 282 = -9*b. Let z(u) be the first derivative of 0*u**2 - 6 + 20\/3*u**3 + b*u. Differentiate z(h) with respect to h.\nAnswer: 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -5*q**2 - q. Let x be d(5). Let g be x\/(-60) - (-1)\/6. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 7*m + 1. Let a(y) be the first derivative of 2*y + 7 + 7*y**2 + 6*y - 5*y + 3*y**2. Determine -6*a(r) + 17*v(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z - 7. Let b(q) be the second derivative of -q**3\/3 + 5*q**2\/2 - 36*q. Suppose -3*a + 2 = -2*t, -4 = a - 0*a. Give t*b(w) - 5*v(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**7\/14 + 6*g**6\/5 - 51*g**5\/20 - 19*g**4\/2 + 42*g**3 - 60*g**2 - 2*g + 234. Suppose u(h) = 0. Calculate h.\nAnswer: -2, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 48*w + 33. Let p(n) be the second derivative of -n**3\/2 - n**2 + n - 5. Give -6*m(j) - 99*p(j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnyyyyyhyyysy. What is prob of sequence shy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - d**2 + d + 4. Let p = 19 - 19. Let b be (p\/(0 + -1))\/(-5). Give f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m**2 + 22*m. Let l(p) = 4*p - 7*p - 4*p + 8*p. What is i(l(o))?\nAnswer: 3*o**2 + 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -130, 3 in descending order.\nAnswer: 3, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -481, -1002, -1523?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -70*l**3 + 237*l**3 + 53*l**3 + (1 + 3 - 2)*(-3*l**3 - 2*l**3 + 3*l**3).\nAnswer: 216*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-178*x + 122*x - 93*x)*(-9*x - x + 4*x) as w*x + k*x**2 + d and give k.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 17\/3740*12 - 2\/(-5). Let y = -2 - -3. Are y and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 7*u + 1. Let j be o(-6). Suppose -s - j = -2*c, 4*s - 2*c - 2 + 12 = 0. Sort -3, s, -2 in increasing order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, h: 2, o: 8, g: 2, c: 2}. What is prob of sequence cg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 2. Let p be (0 - 0) + (-34 - -33). Let m = 5 - 1. Which is the nearest to m?  (a) p  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of c**6\/360 - c**5\/36 - c**4\/9 + 8*c**3\/3 + 121*c**2. Factor w(o).\nAnswer: (o - 4)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -95*p**2 - 102*p - 145. Give f(-4).\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.97 + -1.07. What is the closest to v in 1\/14, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1155393 and 1155393 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 - 44. Suppose -3*j = -13 + 4. Suppose -4*h = -t - 41, -t = 2*h + j*t + 2. Solve -x - 4*a + h = -v, -3*a + 4 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 108*a**2 - 51*a + 135. What is the thousands digit of c(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5389\/10786 - -2\/5393. Let t(i) be the second derivative of 2\/3*i**3 - 15*i + 0*i**2 + 1\/10*i**5 + 0 + b*i**4. Suppose t(x) = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 0, -802.\nAnswer: -802, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6585 a factor of 5132102240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + (-7 - -2 - -1). Let m = n + 9. Let q(i) = i**3 - 11*i**2 + 5. Let l be q(11). Solve f - 4*f + 4*s - 19 = 0, 25 = -m*f + l*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 11:50 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, -2\/471, -5, -3\/4, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1806 + -1691. Let v = 12 + 18. Calculate the remainder when u is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l*(l**(-7\/5)\/l*l)\/l)\/l)**(-3) assuming l is positive.\nAnswer: l**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 51334?\nAnswer: 154002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-245)*1)\/(648\/(-2016))*9\/1.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 15 = -3*v, 5*z = 3*v + z + 6. Suppose -v*t = -g - 6, 0*t = 5*g - 5*t + 10. Solve -g*o = -6*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157874252.\nAnswer: 2, 89, 443467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 2*g - 3*g - 3, -g = 0. Let t be (v - (1 + 1)) + -4149. What is t rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -202, -827, -1868, -3325, -5198?\nAnswer: -7487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.203947*9.\nAnswer: -1.835523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/10*(-58)\/(6728\/(-7250)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 6*j - 9. Let g(p) = -p**2 - 7*p - 4. Let y be g(-6). Let f be n(y). Suppose 3*h + f*o - 324 = 0, 5*h + 0*h - 552 = -2*o. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*h + 514562 = -h - 1081370. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -52. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37562073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 25613 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 39, 71, 89, 87, 59, -1, -99, -241?\n\"Answer: -g**3 - g**2 + 42*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8174*j**2 - 9715*j. Let a(p) = -73*p**2 - 87*p. Let y(f) = 335*a(f) - 3*n(f). Let l(o) = 15*o**2. Calculate y(l(s)).\nAnswer: 15075*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -189*v + 129*v + 2880. What is the smallest common multiple of 144 and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {z: 1, x: 5, b: 12}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 - 5.06. Let j be 6\/9*-1*1. Sort t, j, 0.1.\nAnswer: t, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from exxxe.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -432 divided by -2\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m - 404. Let y(f) = -f + 1. Give j(h) + y(h).\nAnswer: h - 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 186246 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(10\/24 + 22\/88). What is the third derivative of 4*k**3 + 0*k - 157*k**3 - 2*k**2 + 3*k**2 + 5*k**c - k wrt k?\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -1048*s - 16822. Determine p(-16).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*4\/(-16)*2. Let v(t) = -t**2. Let m(r) = 3*r**2 - 15*r + 6. Suppose 0 = 4*d - 7*d - 18. Let s(z) = d*v(z) + l*m(z). Factor s(w).\nAnswer: 3*(w - 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5343636420 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102112100110 + -1?\nAnswer: -102112100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12665*j - 12665*j - 8069*j**3.\nAnswer: -8069*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 + 0.09745220774.\nAnswer: -5.90254779226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/((-8 - -9) + 3). Let y(w) = -w**3 - 6*w**2 - 5*w + 3. Let b be y(-5). Sort z, b, 5 in decreasing order.\nAnswer: 5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -489*b - 435. What is the tens digit of h(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -75, -89, -103?\n\"Answer: -14*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 235936 greater than 235928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47296 = 8*o - 888. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -856971.173 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from {a: 1, f: 2, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 141, 264, 389, 516, 645, 776?\n\"Answer: d**2 + 120*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**3 + 9*u**2 - 14*u + 13. What is d(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**2 - 484240*v + 5811159. What is t(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -839*t**2 - 5*t**3 - 3*t + 3*t - 999*t**2 + 1838*t**2.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3456, -6834, -10212, -13590?\nAnswer: -16968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13234 is divided by 1099.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -14*u**2. Let z(k) be the second derivative of -k**4\/6 - 55*k**2 - 2*k - 4520. Calculate z(r(i)).\nAnswer: -392*i**4 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85338 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1222 - -2?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8049 is divided by 169.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 163 - 163.0000023. Round o to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 477023.\nAnswer: 2862138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m**2 - 18 + 42*m**2 + 18.\nAnswer: 47*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/((-3)\/(-1))*0. Let y be (1\/4)\/((-17)\/(-204)). Suppose 3*f + 2*f - y*f = s. Solve 14 = 3*i - i + 4*u, i - 5*u + 28 = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9415737 bigger than 9415738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -99\/100 - -6\/25. Sort -2\/9, c, 1\/3 in increasing order.\nAnswer: c, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 468, 3, -0.5, 2\/9, -23\/93, 2\/17?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: bd (base 15) to base 12\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 436342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3120587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41660.\nAnswer: 2, 5, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 m, and 1 o when three letters picked without replacement from {o: 1, n: 3, m: 3, w: 1, y: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -285 - -518. List the prime factors of f.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -31, -11 in ascending order.\nAnswer: -31, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.26, -0.1, 2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 325*y = 2620 + 6155 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j\/(j\/j**(-7)))\/j)\/j)\/j)\/(j*(j\/(j*j*j*j*j*j\/(j\/j**(-8))*j*j))\/j))**(-47) assuming j is positive.\nAnswer: j**564","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from abddddddddabadd. What is prob of picking 1 b and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -269*n + 267*n + 122 = 0. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1684674 at most as big as 1684675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c + 11. Let q(s) = 10*s + 54. Let p(l) = 14*a(l) - 3*q(l). Let v be p(-8). Solve -7*x - v = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04739596 minus -5?\nAnswer: 4.95260404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1300 and 52975.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 8 = 2*u, 3*u + 4 + 5 = 0. Let x = 1 - j. What is the second derivative of 2*s**x + 0*s - s - s**3 wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 224 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1321 + -688. Suppose -30*q - l + 9273 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f - f + 3*a, 112*f = 108*f - 4*a + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*o + 29*o = -40*o - 1680. Suppose 30 = -2*p + 114. Calculate the highest common divisor of o and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3283617, -3283686, -3283755, -3283824, -3283893?\nAnswer: -3283962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11446917 + 0.2?\nAnswer: 0.08553083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13.3 - -10.3. Which is the nearest to 0?  (a) 2\/13  (b) 5\/18  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 1. Let w be u - -2*7\/8. Let m = -223 - -2005\/9. What is the closest to w in 0.1, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from nnnnnnonnnon.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 16 + 2*k**2 - 13*k + 16 - k**2 - 12. Let z be x(12). Suppose z*n = 10*n + 2. Put 4, 5, -4, n in decreasing order.\nAnswer: 5, 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1819 and 204.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44.7 + 44.6. Which is smaller: m or -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 3*f - 2*x - 6, 2*f - 17*x = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000949237 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 + 10 + -81 + 160 + 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010000111111100100100010 - -1?\nAnswer: 1010000111111100100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 10833?\nAnswer: 43332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2204\/111 - -30\/37. Let n = l - -35\/6. What is the common denominator of n and -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.6 + 1.42. Let j = -0.21 + 0.13. Let s = j - v. Put -0.3, s, 3 in descending order.\nAnswer: 3, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -650 - -676. What is the highest common divisor of q and 1404?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 5. Let a be (-2)\/8 + 9\/4. Suppose 4*i - a = 3*r + 1, 3*r - 18 = -3*i. What is the nearest to 1 in i, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -673*s = -893*s - 1540 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -61*s**2 - 103*s - 3. Let p(g) = -306*g**2 - 516*g - 16. Let j(m) = 16*f(m) - 3*p(m). Find the second derivative of j(y) wrt y.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 5*l**2 + 5*l + 4. Let z be h(-4). Suppose -o + 3*o = z, 0 = 2*x + 5*o - 8. What is the first derivative of -2 + j - x*j + 4 wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*((-1 + sqrt(99) + -5 - sqrt(99) - sqrt(99)) + -1 + sqrt(99) + -4)*1 + -4)**2.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 217 and 71308494?\nAnswer: 499159458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*sqrt(1296)*-3)\/((sqrt(336)*-6)\/(sqrt(21)\/sqrt(3)*-4 - sqrt(7))).\nAnswer: 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r - 2448. Let h(y) = -9*y**2 - 2*y - 52. Determine m(h(a)).\nAnswer: 18*a**2 + 4*a - 2344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*c**3*l**2 + 6*c**3 - 7*c**2*l**4 + c*l wrt l?\nAnswer: -8*c**3 - 84*c**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -792 - -2831. Let a = v - 1226. Suppose 5*g = 2*g + a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**3 + 3*a**2 - a + 4. Determine d(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-1 + (-24)\/(-16)). Let u be y\/((-48)\/(-7))*(-5)\/35. Put 4, u, -3\/4 in descending order.\nAnswer: 4, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.96 - -2.16. Put -5, l, 3\/5, 0.3 in decreasing order.\nAnswer: 3\/5, 0.3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163068037583694 minus -0.5?\nAnswer: 163068037583694.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17728847*z**3 + 15726607*z.\nAnswer: 106373082*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20*17\/(102\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -340 - -342. Let x be 7 - 7\/((-21)\/(-6)). Solve -23 = x*j - g*r, -j = 3*j + 2*r + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -908*-20.\nAnswer: 18160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 28*v**2 - 50*v - 22. Let t be j(-26). Sort -1\/5, 0.4, t in increasing order.\nAnswer: t, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 5:12 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4430550749 + -8793987980. Let x = -4363437406.99999716 - k. Let r = -176 - x. What is r rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*g + 44 - 44)*(-2*g + g + 2*g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 13) in base 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -403, -398, -391, -382?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 9*m**2 + 11*m - 11. Calculate the lowest common multiple of 9 and z(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1458786081\/28106 + -1193798\/23. Let j = 33\/26 + l. Let p = -1.2 + 0.2. Which is the second biggest value?  (a) -5  (b) j  (c) p  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -2*l + 30. Solve l*d - 16 = 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - 15\/(-6))\/((-1)\/8). Which is greater: 8 or m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zlwz when four letters picked without replacement from wlzzlglgzgzzoz?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/3563?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 3*k - 2*p, 5*k + 33 = 3*p - 5*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12604.\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12.6 + -22.8. Let p = 8 + v. Let r = p + 2.19989. Round r to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6980*k - 6817*k - 538083 = 0 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1442 + -1464. Is 7 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61195703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48773346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - 35.85.\nAnswer: -35.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 2:57 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 4*k + 12, -2*c = 3*c - 4*k - 12. Put -0.5, c, -1 in descending order.\nAnswer: c, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*k + 43 = 155. Solve u + 17 = 4*u + 5*f, -k*u + 4*f = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24522\/7 - -3503. Let r(v) = -v**3 + 21*v**2 - 39*v + 19. Let p be r(19). Which is the third smallest value?  (a) 30  (b) q  (c) p  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 4*o - 5 = 0, f = -f + 4*o + 10. Let a be (30\/12)\/f*10. Suppose 4*u = 2*u + 6. Solve u*j + y = 6*y - 20, a*j + 3*y - 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 695  (b) 0.4  (c) 0.5  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 - 104172*x\/7 - 29114384\/7.\nAnswer: 2*(x - 52364)*(x + 278)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 - 11*a**2 - 12*a + 4. Let j be l(12). Let k be -1*2 - (-2 - j). Solve -k*y - 2 = 5*m, 4*m = -0*m - 2*y - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 - (-133 + 5 + 0). Let g = f - 137. Let k(p) = -36*p - 25. Is k(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 66, 5, -2, -6, -3 in decreasing order.\nAnswer: 66, 5, 3, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (87\/348)\/(0 - (-10)\/(-24))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-101)\/(-270) + (-8642)\/116667. Find y, given that -p*y**2 - 1\/10*y**3 + 9\/10*y - 1\/2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8789\/29 + -303. What is the biggest value in 0.4, m, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + 18\/(-4))*-4. Let m = p - 1. What is the units digit of (5\/15)\/(m\/189)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19054.0013453 + -19054. What is c rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 996 and 13185546?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 58460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1707 and -0.21022.\nAnswer: -1707.21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-102)\/((63096\/(-176))\/239).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 493 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + t = 10. Which is the biggest value?  (a) t  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -4*g - 8. Let u be i(-6). Suppose t + 0*z - u = 5*z, -113 = -3*t + 2*z. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8020628 millennia to centuries.\nAnswer: 8.020628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/15)\/(((-771040)\/400)\/79)?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00078601 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -127.54565  (b) -3\/5  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13523 - 13523. Put -2, -1, 5, 1, r in descending order.\nAnswer: 5, 1, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -7, 1 in increasing order.\nAnswer: -24, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/4)\/((-2)\/8). Let n = -14172 + 14178. Solve 0 = -u*c - 0*c - n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -69 less than -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 + 16*j**2 - 13*j - 6. What is the remainder when 69 is divided by r(15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/6 - (-40)\/(-24). Let z(o) = o**2 - o + 1. Let q(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2 - 91*t. Determine a*z(x) + q(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 51*i**2 + 358*i + 596. What is f(-43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92493 and 860?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44812926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/(-10) + (-32)\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/5 or 2269?\nAnswer: 2269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3631062, 3631061, 3631060, 3631059?\nAnswer: 3631058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 495 and 792099?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-184)\/10)\/((-2)\/10). Let v = -40 - -63. Calculate the greatest common factor of f and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.5 or 44.677?\nAnswer: 44.677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 530124301 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g + t + 24, -3*t = -6*g + 9*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**2. Let f(t) be the second derivative of 445*t**3\/2 - 2002*t. Calculate v(f(i)).\nAnswer: -3564450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -261*q**3 - 5*q + 16 wrt q.\nAnswer: -1566*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 4:25 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 5:36 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1528735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -0.4, -1\/4, 0.4, -0.02?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17596, 17597, 17598, 17599, 17600, 17601?\nAnswer: 17602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence smy when three letters picked without replacement from {s: 5, r: 4, m: 1, y: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 21 = 5*t, -2*c - 3 = 5. Let i be t\/((-105)\/(-9))*1. Let h = -1 - -2. Which is bigger: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -38 - -57. Let s = b + -19. Solve 5*x - 4 - 1 = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/135)\/(62\/(-279)). Sort 2\/15, 2, y, -8 in increasing order.\nAnswer: -8, 2\/15, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.646 + -0.645999671. 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: Solve 395334 = -339*l - 5437*l - 1545*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 2*n**2 + 5*n + 6. Let l(j) = j**3 + j**2 + 1. Let v(r) = -d(r) + 2*l(r). Let s be v(3). Suppose 0 = 2*i - s - 30. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 281312, 1125632, 2532830, 4502906, 7035860, 10131692?\nAnswer: 13790402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j**2 - 8. Let d(f) = -f**2 - 2. Let x(s) = -4*d(s) + v(s). Let h(c) = 6*c + c - 3*c + 4*c + 7 + 5*c. What is x(h(l))?\nAnswer: 169*l**2 + 182*l + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 9*s - 6. Which is the nearest to 2?  (a) 0.02  (b) s  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/(-10))\/(2\/(-32)). Let a = 10 + z. Let q(t) = t**2 - t**a + 2*t**2. Let w(h) = h**2. Determine q(w(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 951014442 and 2346?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*k**3 + 76*k**2 - 76*k**2.\nAnswer: -153*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3) + 277530\/(-225). Let k = -1239 - l. Find the common denominator of k and -47\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 1 = -c + 4*s, -3*s = -3*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*t + 229 + 233 = 54 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15 and 456810.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 - w + w)*(-6 + 2 + 0 + (1 - 1 - 2)*(-2 - 1 + 1) - 4 - 2 + 4).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 22*p - 3. Let k be h(1). Suppose 15*a = k*a - 16. Solve 2 = -3*m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 2765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*d - 44*d = 1218. Which is smaller: d or -473\/8?\nAnswer: -473\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/5)\/z)\/z*z**(8\/5)*z)**(-1\/23) assuming z is positive.\nAnswer: z**(-4\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 2532\nAnswer: 1\/844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1076, 1072, 1066, 1058, 1048?\n\"Answer: -m**2 - m + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 98 - 142 = 0. Solve -i*u = -7*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3666)\/47*(8\/6)\/4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/8976*-17)\/((-2)\/48*-2)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 0 + 5*((-1*sqrt(304) - sqrt(304)) + 5)*-6)**2.\nAnswer: -72960*sqrt(19) + 1117504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -6, -79, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, -3, -6, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 11*q**2 + 10*q + 9. Let x be z(10). Let f(a) = 13*a + 1. Let b(r) = 3*r. Give x*b(w) - 2*f(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -v**3\/3 - v. Let u be (-10)\/(-45) - 4\/18. Let m(j) = u - j**2 - 1 + 1. Calculate m(x(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13398 = i - 2*y, 6*i - 10*i + y = -53557. List the prime factors of i.\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1087735\/275 - (-12)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 209736 and 20879831.\nAnswer: 21089567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 139182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 4  (b) 3  (c) 0.1  (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1\/z)**29*(z*z**(1\/4))**(-8))**(33\/5) assuming z is positive.\nAnswer: z**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(156)*2 - ((2*sqrt(156) + sqrt(156))*-6 + sqrt(156)))\/(sqrt(1452) - (sqrt(1452) + sqrt(1452)*3)*3)*5*2.\nAnswer: -210*sqrt(13)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 207 - 200. Suppose o*v - 735 = 1925. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 403482, 806941, 1210372, 1613775?\nAnswer: 2017150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {i: 10, d: 2, c: 2, k: 2, b: 1, f: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5641737 rounded to four dps?\nAnswer: -0.5642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - 9 - 6)*(-1 + i + 1) in the form m + b*i and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wohslsoodwwdoddhodd. Give prob of picking 1 l, 1 s, and 2 o.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*n**2 + 48*n**2 - 28*n**2 + 448*n**3 - 455*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -39, -46?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 5*f - 221, -f + 2*a + 2*a + 58 = 0. What is the greatest common factor of 115 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h + 2 = 8*h. Suppose -5*q - 6*x + 114 = -h*x, -q + 4*x + 18 = 0. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 4, 1 = -3*g - 4*y + 6. Let o be ((-7)\/14)\/((-2)\/16). Suppose -b = -o - 22. Calculate the remainder when b is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (22\/6 + -3)*18\/4. Solve -15 = -x*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 9.58, 0.8, -0.1, -0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 2*m = 9 + 19, -2 = -2*b + 2*m. Suppose u + 16 = b*u. Suppose 48 + 4 = u*s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1002202 (base 4) to base 12.\nAnswer: -256a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1188 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4135 - -97?\nAnswer: -406b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -666291, -1332619, -1998947, -2665275, -3331603, -3997931?\nAnswer: -4664259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 12) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 1 = -5*j, 3*w - 3*j - 65 = -62 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b*b*b**(-3\/7)*b**(-3\/10)\/b*b**7\/b*b*b**(6\/7) assuming b is positive.\nAnswer: b**(639\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -163 - -272. Let s = -596 - -694.2. Let u = s - t. Round u to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88208395.\nAnswer: 5, 11, 145799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 13*i. Let o(j) = -11*j. Let k(b) = 5*a(b) + 6*o(b). Calculate k(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j**3 + 5*j - 33. Let d be a(4). What is the greatest common factor of d and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 - 8195*n - 40850.\nAnswer: -5*(n + 5)*(n + 1634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3*w**2. Let q be (-4)\/((-3)\/(1 - -2)). Let z be y(q). Let k = 77 + z. Solve -6*u = 5*p - 3*u - k, -3*u + 25 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4440157 is divided by 1202.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 654 = -5*f + i, -i = 5*f - 656. Suppose 4*o = 4*t + 89 + f, 3*o + 315 = -5*t. Calculate the remainder when 3\/((-9)\/t) + -1 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-74 + 51 - 66)*(-13*m + 11*m**3 + 13*m) as f + j*m**2 + a*m + n*m**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -5*s. Let r(k) = -k**2 - k + 1. Let o(u) = r(u) + t(u). What is the units digit of o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 133261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 2*c**2 + 2*c**2)*(3 - c - 1 - 3).\nAnswer: -4*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27\/7 - -67\/21. Let x be (-2)\/8 - (-46)\/120. Put p, x, 0 in increasing order.\nAnswer: p, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16177 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/108 and 131\/864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1020 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 620343 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 12, h: 3}. Give prob of sequence bbb.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2 + 1736131*g + 2 + 1904030*g.\nAnswer: 3640161*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15838 - 1.6.\nAnswer: -15839.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 9519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -175 - -569. Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.59, 0.04, 0.089, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.06 + -0.56. Let c = m + 0.3. Let b = 0.199988 + c. What is b rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -3482085.3.\nAnswer: -696417.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 31*y - 6. Let q be r(2). Suppose 0 = -4*p - q + 144. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 2)*(-2*u**2 + u**2 + 2*u**2).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2 = 0, 481596 = 14*t - 12*t - 2*w. Is t composite?\nAnswer: False","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 jjhcvv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -131\/572 + -7\/52. Let y be (4\/(-14))\/((-30)\/14). What is the closest to r in 5, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42960 - 19025 = -539*b for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6858 + 34291\/5. Let v be ((-4)\/(-6))\/(7\/(-3)). Put v, q, 2, 1\/4 in descending order.\nAnswer: 2, 1\/4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 - 2 + 2 + (2*n**2 + 0*n**2 + 0*n**2)*(0 - 2 + 0) - 2*n**2 + 0 + 0 + 2*n**2 - 2*n**2 - 2*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of c**6\/12 - c**5\/10 + 10*c**2. What is the third derivative of h(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 16  (b) -0.19  (c) 8  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6188935?\nAnswer: 5, 17, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -20*z. Let k(r) = 11*r. Determine k(l(n)).\nAnswer: -220*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35143607 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(2\/3))\/(h\/h**(5\/3)*h))\/((h\/h**(-1))\/((h*h**(-1\/3)*h)\/h)))**(-6) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 11*d - 11*d - 19*d + 22*d.\nAnswer: -19*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2\/3 - 824*y - 17402\/3 = 0.\nAnswer: -7, 1243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -104*x + 2. Let w(k) = -52*k + 1. Let o(r) = -4*b(r) + 9*w(r). Differentiate o(h) wrt h.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 + 0)*(-j + 0 + 0) - 1231 - 10*j + 1231 + (-2 - 3 + 4)*(4*j + 0*j - 2*j) - j + 2*j - 2*j to the form t*j + l and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 7:58 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1))**(-1\/77)\/(p*p\/p**1)**(-38) assuming p is positive.\nAnswer: p**(2927\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**8\/2016 - s**7\/1260 - s**6\/240 + s**5\/72 - s**4\/72 - 18*s**2. Factor t(r).\nAnswer: r*(r - 1)**3*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 4*i = 24, -a + 3 = -i + 3*i. Suppose 5*g - 15 = -0*g. Suppose -g*y + 2 = -a*y. Which is smaller: y or 4\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 5*z = -68. Let s = -12 + 47. Let d = s - 17. What is the remainder when z is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(300) + sqrt(300)*-2 + sqrt(300))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 17*z**2 - 11729*z - 23465. Determine f(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -59*c - 1355. Let s be i(-23). Let d(j) be the second derivative of 0 + 1\/3*j**3 + 2*j**s - 21*j. Calculate d(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 386.0066 tonnes?\nAnswer: 386006600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 11381*k - 113757. What is q(10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 9*j - 8*j, -j + 12 = 5*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26 - -2. Let q = 4.5 - 27.5. Let t = g - q. Which is the third biggest value?  (a) t  (b) 0.5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -22\/879, 0.03, 1\/2 in descending order.\nAnswer: 1\/2, 0.03, -22\/879, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*o**4 + 7*o - 7*o)*(1 - o - 1) + 4*o**5 + o**5 - 2*o**5 + (4*o**3 - o**5 - 4*o**3)*(2 - 1 - 2) - 2*o**5 - 2*o**5 + 2*o**5.\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 8:55 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*b**3 + 0 + 14*b - 4 - 33*b + 17*b - 1 to l*b**2 + g + m*b**3 + k*b and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 - 14. Sort 3, p, 1 in descending order.\nAnswer: p, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 672, 5058, 16966, 40158, 78396?\nAnswer: 135442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15061762?\nAnswer: 2, 17, 139, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*h - 246 = 0, -490 = 4*u - 5*h - 0*h. Let a be 5*-5*30\/u. Solve -a*y + 10*y = -20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (76\/(-12) - -4)*-6. Let g be (-30)\/7 - (-4)\/c. List the prime factors of (8\/(-1))\/((-510)\/125 - g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2875102404.\nAnswer: 2, 3, 83, 2886649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 - 3*g**2 + 2*g**2. Let i(r) = r + 5. Let q(c) = -3*c + 3*c - c - 6. Let z(m) = 6*i(m) + 5*q(m). What is z(f(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/5 - 4056*v**2 + 40554*v\/5 - 20276\/5.\nAnswer: 2*(v - 10138)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.43208  (b) -6  (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 65*x + 165. Which is the closest to -3?  (a) 0  (b) x  (c) -2\/9  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15122855 is divided by 2146?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 33 = -0*w - w, 0 = -5*w - 3*a + 113. Suppose 3*z = 8*z - w. What is the second derivative of 5*r**5 + 3*r - 9*r**z - 6*r wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**3 - 302*r**2 + 2032*r - 104. Determine m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-10\/11)*h\/(h\/(h**(-16)*h)) assuming h is positive.\nAnswer: h**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 w when four letters picked without replacement from {w: 3, p: 5, k: 1, x: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*a = -28*a + 306 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 944042396?\nAnswer: 2, 11, 853, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (40\/16 - 5) - 650\/(-300).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -3*b + 1\/3*b**4 + 0 - 7\/2*b**2 + 5\/3*b**3. Let v(n) = 3*n**2 + 9*n - 7. Let l(o) = 4*f(o) - 5*v(o). Give l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1119927666.\nAnswer: 2, 3, 11, 13, 17, 76781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27\/2 + 15. Sort 1\/4, 3, l in decreasing order.\nAnswer: 3, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.4 + 4.4. What is the second smallest value in y, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*f**3 - 9*f**4 - 19*f**3 + f**2 wrt f.\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {c: 1, d: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/8)\/m)**(-1\/78) assuming m is positive.\nAnswer: m**(3\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -27*b + 622. List the prime factors of o(-29).\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 11:35 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(3\/7)*h**(-1\/5))**(-2\/121)*h**(-1\/4)*h**(1\/11)*(h**(-1)\/h)**(-27\/4) assuming h is positive.\nAnswer: h**(225891\/16940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 116.2 * -0.4.\nAnswer: -46.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4712135237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -7316039 and -133461.\nAnswer: -7449500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t**4 - 2*t + 2*t)*(2 - 3 - 1) + 97536*t - 97536*t + 88 - 17*t**2 - t**4 + t**3 in the form k*t + r + j*t**4 + a*t**3 + q*t**2 and give r.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1687 + -787. Suppose 21*k - t = 9*k. What is the greatest common divisor of 30 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 295715 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 8088470390152.\nAnswer: 8088470390151.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*d**3 - 19*d**2 - 379*d**6 + 17*d**2 - 445 + 360*d**6 wrt d.\nAnswer: -2280*d**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 5*h + 61 + 73, 0 = 5*h - 5. Suppose d*q - 50 = 134*q. What is the highest common divisor of 130 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000031 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 4*m + 3. Let w be 0 + -4 - -2 - -4. Let a be d(w). Suppose -a*h + 47 = -2*h. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, 7, 27, 49, 73, 99?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j*j*j**(2\/27)\/j)))**20 assuming j is positive.\nAnswer: j**(580\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 841 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -x**5\/40 + 7*x**4\/8 - 10*x**3 + 25*x**2 + 20*x - 5. Factor p(t).\nAnswer: -(t - 10)**2*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 5:30 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u - 30 + 12. Let k = -46 - -93. Let i = k + -47. What is the closest to i in -4, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, i: 2, a: 1, c: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(17*(-56)\/16))\/(55\/(-77))\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 + 4. What are the prime factors of p(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 7 = -8. Suppose 5*c + 2*q - 20 = o*c, 4*q = 4*c - 80. What is the remainder when c is divided by ((-8)\/(-5))\/(3\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dtqyoyyomydyttttooot. What is prob of picking 1 y and 1 q?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 2*f - 139. Suppose -f + 20 = 4*h. Do h and -22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lss when three letters picked without replacement from {l: 3, n: 1, b: 2, s: 2, k: 3, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000541031 rounded to 7 decimal places?\nAnswer: 0.0000541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10\/6)\/(5\/15). Let q = -5 + 2. Let s be 10*(q + (-7)\/(-2)). Is r <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 1770*t - 5.\nAnswer: -1770*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 8:27 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3846, -3798, -3708, -3570, -3378, -3126, -2808, -2418?\nAnswer: -1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2.351886 millennia?\nAnswer: 28222.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179 = -h + 5*w + 210, 5*w - 5 = -5*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9320922 divided by 1553487.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000106575 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(198) + sqrt(198)*2 - sqrt(198))\/sqrt(6))\/sqrt(3).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4882253 - 20139\nAnswer: -4902392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/5  (b) -17  (c) 3  (d) 2\/3  (e) 0.4  (f) -0.005  (g) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -5*n - 10, -2*n + 2 = p + 6. What is the smallest value in 2, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c + 38*c**3 - c**2 - 37*c**3 + 0*c**2 to q*c + l*c**2 + n + i*c**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**3 - 169*a**2 + 1512*a - 119948. Let o be r(84). Solve 0 + 16\/9*v + 4\/3*v**3 + 2\/9*v**o - 10\/3*v**2 = 0 for v.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-40))\/(8\/(-60)). Let m = 0.245 + -0.345. Which is the nearest to q?  (a) -3  (b) m  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3*n + 0)*(-3 + 3 - n) - 4*n**2 + 10*n**2 - 1 + 2*n**2.\nAnswer: 5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 PM and 12:23 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 844 a factor of 2598119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/20)\/((-26)\/52). Let t = -2 - -1. Put m, t, 0.1 in increasing order.\nAnswer: t, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15862 and 73660244.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1134 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8304*d + 5*y = -8301*d + 51, 0 = 2*d - 4*y + 42 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 221794524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 640 + -630. Solve -y + s*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 7794444.\nAnswer: 38972220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1296 a factor of 10185666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 2 - (3 + 2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b943 + 7e?\nAnswer: 3b9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(10) - -4*sqrt(160))\/(sqrt(16)\/(sqrt(24)\/sqrt(3)))*1)**2*6.\nAnswer: 43350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1825, -8338, -19173, -34318, -53761, -77490?\n\"Answer: 2*l**3 - 2173*l**2 - 8*l + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/4073 - 16306\/28511. What is the closest to -31 in -3, -2\/11, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 11*v**4\/12 - 83*v**2\/2 + 12*v. Let n(s) be the first derivative of o(s). Let z(k) = -2*k**2. Calculate n(z(y)).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-3*6*(3*(-5*sqrt(3087) - sqrt(3087)) - (sqrt(3087)*-4 + -2 + sqrt(3087))).\nAnswer: -17010*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 234*s - 16*s**3 + 3*s**2 - 236*s + 5*s**4 + 1 - 6*s**4 as y + m*s**2 + g*s**3 + z*s + r*s**4 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/2))**(5\/9)\/(g**8*g*g**(1\/3)))\/((g**8*g)\/(g*g*g\/(g**5*g*g*g)*g)*g\/g**(1\/4)*g**(1\/4)) assuming g is positive.\nAnswer: g**(-415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.21*30.9\nAnswer: 6.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 7*b + 2. Let a be f(7). Let g(n) = n**3 + 29*n**2 + 25*n + 17. Let z be g(-28). Suppose 8*q + z = 141. Put a, 7, q in ascending order.\nAnswer: a, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5327 is divided by 884.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 122 + -105. Let j = -15 + 12. Let b be j\/(-3)*2 + 49. What is the greatest common divisor of s and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 2795 - 2558. Solve 231*f - k*f - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 358.5176 weeks in microseconds?\nAnswer: 216831444480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1245 + -1185. Suppose 20 = f - 39. Is f > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**(3\/4)\/p))\/p)**(-29)*(p\/(p*p**(3\/7)))\/p*p\/(p\/p**(-13))*p assuming p is positive.\nAnswer: p**(-579\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 16*o**2 + 14*o - 8. Determine l(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 11:38 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 651320633 to the nearest integer?\nAnswer: 25521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 211*a + 258*a - 125*a - 6228 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-8))\/((-150)\/(-200))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 3)*(1 - 1 - 2*s)*(1 + 1 + 0)*(33818 - 64886 + 26299) to c + f*s and give f.\nAnswer: 19076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19.94 + 18. Round t to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -50 - 4074?\nAnswer: -4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*m*w**4 - 11*m*w**3 + 64*m*w**2 + 286*w**4 - 3*w**3 + 65*w**2 wrt w?\nAnswer: 48*m*w - 66*m + 6864*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 7*p. What are the prime factors of 1\/5 + p + 1104\/5?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/(-24))\/((-21)\/(-12)))\/(-46*73\/(-30222)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -309*s. Let m(g) = 2*g + 15030 - 15030. Give v(m(r)).\nAnswer: -618*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*y - 8401 - 8463 = -6464 for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -12*r**2. Let d(c) = 47*c + 2 - 2 - 45*c. What is d(z(g))?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of 2 + 0*n + 7\/24*n**4 + 0*n**3 - 53*n**2. Let j(b) = -2*b**2. Give a(j(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2238 - 3901 + 9*k**2 - 15*k**2.\nAnswer: -6*k**2 - 1663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -16*f**3 + 4*f**2 + 9*f - 4. Let m(j) = -30*j**3 + 9*j**2 + 19*j - 9. Calculate -4*m(t) + 9*n(t).\nAnswer: -24*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h - 1. Let r(g) = g + 10. Let p be 0\/1 + (5 - 6). Let a(m) = p*r(m) - 2*z(m). What is the derivative of a(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -52 + 294. Let x = 761\/3 - g. Let p = -89\/25 + -6\/25. Find the common denominator of p and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 146 + -150.04. Let o = -0.46 + b. Let l = 4.500126 + o. What is l rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 0. Let j = 7 - 3. Suppose p - 4*q + 16 = 0, 3*p - j*q + 28 = 5*p. Put w, p, -1 in decreasing order.\nAnswer: p, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/27)\/(18\/(-81)). Let d = -3 - -45. Put i, -2, d in ascending order.\nAnswer: -2, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-231)\/(-6))\/(-7) + 3 + 2. What is the closest to 5\/3 in 0.1, f, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-434)\/(-490) + (-4)\/14\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x - 11. Let r be d(7). Let g(u) be the first derivative of -2*u - 1 - 3\/2*u**4 - 14\/3*u**r - 5*u**2. Solve g(c) = 0 for c.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1100020 + 222?\nAnswer: -1022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -6*b**2 + 67*b + 16. Determine y(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -90572\/5 equal to 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 2 - 2) + -30 + 16 + -30.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 3131 = 7399. Is 10 a factor of (2\/(-10) - 0) + k\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 362817, 362706, 362515, 362238, 361869, 361402, 360831?\nAnswer: 360150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**6\/60 - 68*w**5\/15 - 139*w**4\/3 - 560*w**3\/3 + 20*w**2 + 33. Factor r(l).\nAnswer: 2*(l - 140)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -704 - -703.99995525. What is d rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 53345322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*m = 18, -622*g + 619*g - 5*m - 30 = 0. Sort g, -5, 1, 4, -27.\nAnswer: -27, -5, g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 53016, 105112, 157208, 209304, 261400?\n\"Answer: 52096*c + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/23)*j)\/((j**(-2\/9)\/j)\/j)*(j\/(j**3\/j))**29 assuming j is positive.\nAnswer: j**(-5120\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.7 + 0.4. Let l = 0.1 - q. Is l greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 17\/((-2057)\/22). What is the third biggest value in 0, h, -5, 17\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1632960405?\nAnswer: 3, 5, 37, 59, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -61*f + 2. Let i(j) = 121*j - 3. Let l(m) = -6*i(m) - 13*x(m). Let n be l(4). Suppose -n = 3*r - 8*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of 3*j**5\/20 - 3*j**2\/2 - 4*j. Let i(q) = 1 + q**3 + q**3 + 0 - 4. Calculate -5*i(a) + 4*w(a).\nAnswer: 2*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -10110011000 (base 2) in base 4?\nAnswer: -112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + (((sqrt(19) + 1)*6 - sqrt(190)\/(sqrt(90) - sqrt(10))) + 4 + (sqrt(209) + -6*sqrt(209)*2)\/sqrt(11))*-1).\nAnswer: -55 + 55*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -61, -266, -627, -1144?\n\"Answer: -78*v**2 + 29*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/468 and 113\/1764.\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -71, -190, -393, -704, -1147, -1746, -2525, -3508?\n\"Answer: -4*b**3 - 18*b**2 - 37*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110001211012110 + 0?\nAnswer: -110001211012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, r: 1}. What is prob of sequence hk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 254856 and 14000?\nAnswer: 63714000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*w + 5695 = 273*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cdczcdtdddhdccchd. What is prob of sequence zhd?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 449658066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 6*r + 84. What is g(7)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 7798 - -4\nAnswer: 7802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 487157712*r + 649014277?\nAnswer: 487157712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*h - 226*h - 9766 = 267*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -3 - 3. What is the second derivative of 7*f**3 - f**k - 11*f**3 + 2*f wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 83\/5 + (-4)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 1. Calculate the lowest common multiple of 20 and 1*(c - -1) + 13.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 408*q**2 - 726 - 728 + 1462 - 15*q.\nAnswer: 408*q**2 - 15*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 466, 929, 1392?\n\"Answer: 463*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-9) + (-31)\/3. Let i = f + 14. Solve -8 = 2*m, -m + 22 = 5*r - i*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1090*i**4 - 1210?\nAnswer: -4360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 56 = 9*z. Suppose -4*w**3 + z*w**2 - 20*w**5 - 13*w**4 - 16*w**4 - 3*w**4 = 0. Calculate w.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6992\/32*(3 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 6. Let h = 0.137 - 0.112. Let p = -0.275 - h. Which is the biggest value?  (a) p  (b) 5  (c) 0.6  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = 6339 - 6393 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 4 = -4*u, -7198 = 4*u + 7195 - 14397 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x**2 + x + 2. Let t(f) = f**2 + 1. Calculate -o(z) + 4*t(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 45 = 5*c, -60 = 4*g - 0*g - 4*c. Let l be (-145)\/g + 2\/(-8). Suppose -i - 2 = -l. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0.05, 2, -47, 3, 1\/4 in descending order.\nAnswer: 3, 2, 1\/4, 0.05, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 24 + 0 = 0. Let n = o + -6. Suppose n = 5*p + 2*j - 4, 4*p = 2*j - 0 - 4. Sort -4, p, 3 in decreasing order.\nAnswer: 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 3:21 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/(-2))\/(3 + -4). What is the highest common divisor of 24 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-114)\/76)\/(((-2)\/4)\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, a: 3, o: 6, f: 1, u: 1}. What is prob of picking 1 n, 1 a, and 1 f?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*u**2 - 13 + 30 + 5*u**2 - 4*u - 15 - 11*u**2 to the form t + c*u + b*u**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrrdrdr. Give prob of sequence dd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + 3*p**2\/2 - 2*p + 34. What is t in n(t) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10255 is divided by 716.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 102369791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of 5\/6*b**3 + 68 - 7\/2*b**2 - 2*b + 1\/12*b**4. Suppose 4*d = 2*d - 12. What is u(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 - -44. Suppose -n = 45*d - 47*d. Suppose -d*w - 100 = -4*w. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of i**4\/8 + 5*i**3\/6 + i**2 - 214. Let s(g) = 0. Calculate g.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -245 divided by -46335.\nAnswer: 49\/9267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.5 or 63?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -814 = -6*z - 436. Calculate the remainder when z is divided by 295\/9 + 2\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2 - 78*q - 445. Let k be h(-32). Solve -k*y = -3*r, 2*r + 87*y = 85*y + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03475490617 - 256.\nAnswer: -256.03475490617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 4, -2, 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.9 + -0.6. Let l = w - -3.3. Let p = -1.3 - l. Which is bigger: p or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/((g\/(g*(g**(-21\/4)*g*g)\/g*g))\/g*g))\/(g**(-22)*g)*g*g**(-10)*g*g*g\/((g*g\/(g\/(g\/(g*g**17\/g*g))))\/g) assuming g is positive.\nAnswer: g**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3\/4, 47, 0.2, 1, -0.66, -2 in increasing order.\nAnswer: -3, -2, -0.66, 0.2, 3\/4, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -3778, -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -3069*z**2 + 35 - 13 + 7888*z**2 - 22 as i*z**2 + u + j*z and give i.\nAnswer: 4819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003168093135 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 8 + -66 + 47.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 35*w + 71*w - 33*w)*(5*w**2 + 0*w**2 - 4*w**2).\nAnswer: 3*w**3 + 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-396)\/(-24) - (3\/2 + -2). Suppose 2*p = c*p - 210. What is the remainder when 17 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7107, -14165, -21159, -28071, -34883?\n\"Answer: 3*a**3 + 14*a**2 - 7121*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17366 - -44295. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 792707, 792727, 792771, 792851, 792979?\nAnswer: 793167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3*o**2 + 1 - 6*o**2)*(0 - 1 + 4)*(4*o - 2*o - o + (4*o - 4*o - 2*o)*(-4 + 1 + 4) + 180 - 24*o - 180).\nAnswer: 225*o**3 + 75*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v. Let k(r) = 4*r. Let s(f) = -10*a(f) + 2*k(f). Let y(p) = -p**3 - p**2 + p - 2. Let j be y(-2). Let c(q) = -5*q + 3*q + j*q. Determine c(s(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2 = t - 2, 0 = -2*o. Let f(r) be the first derivative of -5\/2*r**2 + t - 4*r. What is the derivative of f(q) wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -c**7\/5040 + c**6\/720 - 5*c**4\/24 - 2*c**2. Let k(y) be the second derivative of n(y). Solve k(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 17, 99, 323, 761, 1485, 2567?\n\"Answer: 12*y**3 - y**2 + y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*f - 3*f - 51. List the prime factors of (-8)\/((-72)\/81)*148\/f.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b - -15?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 457 - 457.141. Let u = -0.241 - w. What is the closest to u in -1\/7, -2\/15, 0.2, -3\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 43. Suppose -3*w - 3*y + 21 = 0, -f*y + y = 3*w - 31. What is the units digit of 640\/w - (-3)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(12)\/(sqrt(18)\/sqrt(3)) + (1*sqrt(2)*1 - sqrt(2)) + -2 + 3*(sqrt(8) + -1 + 4)))**2*-3.\nAnswer: -7056 - 4704*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01912 take away 3?\nAnswer: -2.98088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*h + 1101 = -34*h - 2438 + 619 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**2 - 8*a + 2. Suppose -3*m - 3 = 18. Determine h(m).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*h + 2 = 0. Let p(a) = 301*a + 7828. Let i be p(-26). Suppose 2*n - 12 = -n. Solve 2*l = -h*g - 6, i*g = n*l + g - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v + 3 + 0 + 1 - 2. Let h = -3 + -6. Let o be (-2)\/(6\/h) + 2. What is i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -1044*j + 8362. Determine w(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164155*t = 164156*t - 9 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1269 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.26 * 205.\nAnswer: -873.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 2*v**2 + 3*v**2 + 11*v - 2*v**2 + (-v - 3*v + 6*v)*(10*v + 150*v + 197*v) - 3*v**2 + 3*v**2 + 2*v**2 as x + f*v + j*v**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3*f)*(f**2 - 2*f**2 - 2*f**2) + 14*f - 10*f**3 - 8*f**3 + 17*f**3.\nAnswer: 8*f**3 + 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**5\/4 + 10*d**3\/3 - 8*d. Find the second derivative of y(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 21. Let t be ((-20)\/2 - (13 + -20)) + -4. Is t less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 17493?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/286468 and 46\/12103273?\nAnswer: 48413092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 + 4*g - 1. Let a be r(-5). What is the derivative of -3*n**a - 5*n**4 - 8*n**4 + 13*n**4 - 6 wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 20*j**2 - 10. Let o be u(4). What is the greatest common divisor of o and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 9:05 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 658*u**2 - u - 1. Let v(h) = h**2 - h. What is -d(f) + v(f)?\nAnswer: -657*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1968?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1 = -0*j. Let q(g) = -10*g + 2. Suppose 5 = 108*r - 113*r. Let u(m) = 2. Let z(t) = r*q(t) + u(t). Calculate z(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3308 - -7314. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152334 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of -1\/140*l**5 + 19*l - 1\/42*l**4 + 0*l**3 + 1\/210*l**6 + 0*l**2 + 0. Factor z(t).\nAnswer: t**2*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dez when three letters picked without replacement from eezd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -788.893083 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.177 - -0.677. Which is the second biggest value?  (a) 1  (b) 28  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 307, 1, 12, -7.\nAnswer: -7, -1, 0, 1, 12, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.219 - -0.019. Let d = -48 + 142\/3. Are o and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 13*r**3 - r**2 + r + 1. Let q be w(-1). Let j = 25 + q. Which is greater: j or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -195 + 206. Solve -3*y + s = -d, 3*d - d + 7 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1382819897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -258*z - 263*z + 444*z. Let l(j) = 2*j**2. What is l(b(k))?\nAnswer: 11858*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 21*x**3 - 10*x**2 + 8*x + 1. Let q be g(1). Let w(z) = -3*z + 65. Calculate w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -132 * 0.3.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imi when three letters picked without replacement from {i: 5, m: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3776 and 31984.\nAnswer: 7548224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 271 and 34417.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 + 0*u**2 + 3*u**2)*(-4 + 4 + 3)*((-6 + 3 + 4)*(1 + 2 + 0) - 5 + 12 - 4).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 2)*(-15 + 15 - 6*t) + 6*t - 4*t - 3*t + 0*t - 2*t + 4*t + 3*t - 2*t + 0*t + (-4 - 2 + 4)*(2*t + 0*t + 0*t))*(4*t**3 + 0*t**3 - 3*t**3).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of 2*s**2 + 4. What is the tens digit of k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**6*k*k*k**2)**(-40) assuming k is positive.\nAnswer: k**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -22*u - 159. Let b be t(-8). Is 13659*(b\/18 - 1)*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 2:16 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -13*y + 157. Let o be m(12). Let p be (-1 - 0)*3\/17. Which is bigger: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 75431 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/(-32)*-10)\/((-3)\/12). Solve c = 4*c - n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 2*x**2 + x - 4. Let j be n(-3). Suppose 30 = j*l + l. Suppose -4*t + 54 = -22. Calculate the remainder when t is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*a + 9*a + 5*a)*(4 - a - 4) + (2 - 2 + 3)*(-a + a - a)*(-5*a + 3 - 3 + (3 - 2 - 2)*(-5*a - a + 2*a)) to the form o*a + s*a**2 + z and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 379 - 378. Is r bigger than -2\/1451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*t + 5*t. Let m(u) = -u**2. Let c(w) = w**3 - 7*w**2 + w - 5. Let x be c(7). Let k(q) = q**2 + 2*q. Let v(a) = x*m(a) + k(a). Determine v(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 6*g - 607 = 4*g, -609 = -5*u - 4*g. Suppose -h = 4*c + 9, -2*h + 51*c - 47*c = -42. What is the highest common factor of u and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 4*v - 21, -67*y + 65*y + 5*v = -15. Calculate the remainder when 592 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 166, -1\/8, -34\/23 in increasing order.\nAnswer: -34\/23, -1\/8, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b + 33?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/103 - 228\/1133. Calculate the common denominator of -57\/7 and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/2270 and -8\/841489.\nAnswer: 8414890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-15)\/10)\/(5\/(3060\/(-27))). What is the greatest common divisor of r and 2074?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1028814 and 0.6.\nAnswer: 0.06172884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 265 - 263. Which is the closest to f?  (a) 2\/9  (b) 0.22  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.78 - 0.48. Which is the nearest to -1\/13?  (a) -2\/3  (b) u  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(2 + 10\/(-6)). Let b(j) = j**3 - 2*j**2 - j - 3. Let r be b(k). Solve 3*o - 5 = -2*d - r, 2*d = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -106 or -94144\/889?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - -1) + -1 + 1 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-2)*(29 - -3)*5. Let s = -75 + k. Solve 2*n = -3*z, -2*z - s*n + 10*n = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 390647?\nAnswer: 390647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4473270, 4473272, 4473274, 4473276, 4473278?\n\"Answer: 2*n + 4473268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -7*s. Let w(x) = 1152*x. Calculate w(g(n)).\nAnswer: -8064*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4746 by 4.\nAnswer: -2373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6410487 and -1.\nAnswer: -6410487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-114)\/152*(-822)\/(-3213) and -19\/14?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - n = -3*k - 15, 4*n + 4 = 4*k. Let h be (24\/4 - 1) + k. Let x = -8 - h. Is 0.1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.25951 <= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -5*r**2 - 4*r - 20. Let f(g) = 6*g**2 + 5*g + 21. Calculate -4*f(v) - 5*q(v).\nAnswer: v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 + 5)\/(-1*3\/169209). What is i rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64247561 (base 8) to base 16\nAnswer: d14f71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, k: 3, n: 2, r: 1, q: 3, u: 1}. What is prob of sequence rk?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -270, -519, -768, -1017, -1266?\n\"Answer: -249*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + j = 12, 0*u + j + 6 = 2*u. Let f = 157 + -156. Let w = -0.0105 - -0.0105. What is the closest to w in f, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429.72484 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -7. Suppose -i - 44 = -j*i. 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 c(y) = y**2 - y + 12. What is c(-6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 1\/15*t**6 + 126*t + 0 + 0*t**2 + 131\/6*t**4 - 1\/4*t**5 + 0*t**3. What is the third derivative of g(r) wrt r?\nAnswer: 48*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 412.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -16. Let p(z) = -z**2 + 9*z - 1. List the prime factors of p(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 - -40e9e?\nAnswer: 40e98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -54 - -59. Let h be (o\/5 - 4)*(-2)\/2. Let v(n) = 121 - 121 - h*n. Let s(k) = -18*k. Calculate s(v(b)).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14488?\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 7:34 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q**3\/5 - 4*q**2\/5 - 211*q - 210 = 0. Calculate q.\nAnswer: -30, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73 - -78. Let x(v) = -v + 48. Calculate the remainder when x(a) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of 5*u**8\/14 + 2*u**5\/5 + 181*u**4\/12 + 3*u**3\/2 - 946*u. Find the third derivative of a(x) wrt x.\nAnswer: 2400*x**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1  (b) 49  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*48\/64*(-2)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3\/3 - 1436*t**2\/3 - 19810*t\/3 - 68992\/3.\nAnswer: -2*(t + 7)**2*(t + 704)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1684841\/285 + 29563\/5. Let h = -242\/67 + 14071\/1206. Calculate the common denominator of t and h.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28783 + -28782. Let a(f) = f**2 + f + 1. Let p(n) = 7*n**2 - 14*n + 4. What is m*p(u) - 4*a(u)?\nAnswer: 3*u**2 - 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -14*u**2. Let b(x) be the second derivative of x**3\/3 + 4*x. Determine m(b(l)).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 16, 1, 0.1.\nAnswer: 0.1, 0.3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*a**4 - 3*a**3 - 4*a**4 - 2*a**2 + 11*a**4 + 2*a**3 as v*a + j + m*a**4 + z*a**3 + f*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1573) + (sqrt(1573) - -2*sqrt(1573)*-1) + -5 + 5 + sqrt(1573))**2.\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208*u - 5*u**2 + 37*u + 171*u.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/2*x**4 + 56*x - 30*x**2 - 32 + 13\/2*x**3 = 0. What is x?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 0.395697.\nAnswer: -0.1582788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 less than or equal to -1810924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*t**2 + 311*t**2 - 108*t**2 - 102*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/525240 and -137\/32120?\nAnswer: 421767720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26003870 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -21*q - 687. Calculate p(-40).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8286, -13174, -21312, -32694, -47314?\nAnswer: -65166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 8 + 3*c)*(-2 + 2 - 5).\nAnswer: -15*c - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -45\/8, -1\/3760, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7069066.69 - 24482.\nAnswer: -7093548.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/4340 and 7\/160?\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -3\/7, 5, -7.3, 3.6, -5\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 1\/4, -126.11, 0.4, -1\/8, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -455*i - 994. Let l(n) = 38*n + 82. Let r(s) = 3*f(s) + 35*l(s). Give r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1018 + -565. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/(-3))\/(27\/38313). Let m = y - 448. Suppose 3*c - 7*c + 296 = 0. Calculate the remainder when c is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 76*m**2*s**3 - 3*m**2*s**2 + 6*m**2*s + 41*m*s**3 - 2*m*s + 37*s**2 wrt m?\nAnswer: 152*s**3 - 6*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 5214501?\nAnswer: -5214452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from bubgdgudu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 5*h**2. Let x be z(-4). Suppose a + 3*a = x. Let c = a + -2. What is the greatest common factor of c and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 153.73531 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 5*w - 2078 = -4*m, 3*w - 516 = -m. What is the greatest common factor of m and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + m - 3*m + 11 - 3 - 17.\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/((-695)\/1085 + 4\/14) and (-7 - 55\/(-3))\/((-52)\/18).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0084331 to 4 decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 79 + -172. Let k be -3*2\/(18\/z). Suppose -i - 2*x = -30, -4*i - k = 2*x - 151. Which is smaller: i or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 710278 and 0.2.\nAnswer: 142055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8805*0.02254.\nAnswer: 198.4647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/7)\/(h\/h**(-1\/3)))**(-26) assuming h is positive.\nAnswer: h**(572\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3735 or 7469\/2?\nAnswer: 7469\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i - 4. Let b(g) = 7*g + 9. Let r(x) = 2*x - 3. Let f be r(6). Let z be ((-12)\/f)\/((-3)\/(-9)). Let v = z - -9. Give v*p(w) + 2*b(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1064\/63 + (-3)\/(-27)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**2 + 49*x - 26. Let t be c(-25). Calculate the common denominator of -19\/6 and t\/(-9)*1235\/38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.08  (b) 5  (c) -10  (d) 6\/19  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 143 and 1144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-4) + 4\/(16\/(-49)). Let c(v) = -2*v**2 + 2*v + 1. Let i be c(3). Which is bigger: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43872182 to the power of 1\/2, to the nearest integer?\nAnswer: 6624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3947533733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - g + 0 = -44, 3*n - 144 = 3*g. Let b = 66 - n. Suppose 4*k + 154 = 2*w, -w + 29 = 5*k - b. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 3 - 3)*(-53 - 57 + 40).\nAnswer: -140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -4*w + 6 - w**3 + 0*w**3 - 3*w + 6*w**2. Let i(r) = -15*r + 64. Let a be i(4). What is p(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -4*b**2 - 436*b - 1272 = 0?\nAnswer: -106, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13616650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 89261 - 38508. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1541, 3087, 4633, 6179, 7725, 9271?\n\"Answer: 1546*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 7:34 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 22, 54, 90, 130, 174, 222?\n\"Answer: 2*h**2 + 26*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 39*v - 225. Calculate p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2276\/423 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -187, -154, -121, -88, -55, -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkssssk. Give prob of sequence kk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45303984 and 1782?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = -w - 157 - 6, 46*o + 1478 = -w - w for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 98 + -80. Suppose 5*b = i - o, 5*i = 5*b + 39 + 11. Suppose -n**2 - 6*n + n**4 + i*n + 4*n**3 + 6*n**2 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 15*j**3 + 2*j**2 + 24*j - 25. Give t(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 382, 1952, 5338, 11164, 20054?\nAnswer: 32632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n + 1. Let x(w) = -8*w + 3. What is 11*j(y) - 4*x(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/27))**(-2\/9) assuming c is positive.\nAnswer: c**(4\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x**2 + 3*x**2 - 4*x**2)*(-813*x - 2 + 11873545*x**2 + 5 - 11873544*x**2) to the form n*x**4 + m + p*x**3 + h*x**2 + j*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 4410, 1, 295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4730 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.00273 + -1.06273. Sort f, 0.7, 1, -0.4 in ascending order.\nAnswer: f, -0.4, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 120443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 7*m**2 + 4*m - 20. Let r be n(5). Let z be ((1 + -2)\/1)\/((-7)\/r). Which is the biggest value?  (a) 1\/4  (b) -5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -226, -4 in descending order.\nAnswer: 3, -4, -5, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1357767 and 10443.\nAnswer: 80108253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 248215028 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + 2 + 1 - (-114)\/361*-19. Put -2\/13, 0.2, -13, 3\/5, i in decreasing order.\nAnswer: 3\/5, 0.2, -2\/13, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11424 by -84.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*i = -198*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15a + 18?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -28\/3, 2, 0.36085?\nAnswer: 0.36085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**2\/4 - 11627547*s\/4 = 0.\nAnswer: -11627547, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5556.946 decades to centuries.\nAnswer: 555.6946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 5*o + 0*o - 129 = 0, -872*v - 2*o + 68 = -865*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-3))\/(6006\/156) - (-2928)\/693.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7235540 by 1447108.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 - 8*g**2 - 20*g**2 - 6*g**2 + 3*g**3 in the form u + a*g**3 + f*g + v*g**2 and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25176506.\nAnswer: 2, 907, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2 - 82*t + 476. What is m(6)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -23, 4, -2, -4 in decreasing order.\nAnswer: 4, 1, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -413  (b) 1\/3  (c) 5\/3  (d) -2\/1283  (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003995216 rounded to 5 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/6)\/(-1) - (-100)\/3. Differentiate -3*s + u*s + 15*s - 35 - 17*s wrt s.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2401 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349288060.\nAnswer: 2, 5, 11, 1587673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-546)\/312)\/((42\/(-120))\/((-6)\/(-5)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 12*j**2 + 14*j + 16. Let f be p(-13). Solve k = -f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 114 = -5*s - 248, 5*s + 356 = -4*q. Suppose -2*o + 5 = 3. What is the remainder when (o - 20\/12)*s is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15821109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -6 + (-160)\/(-30). Which is the nearest to t?  (a) 0.4  (b) 5  (c) 2295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z. Let v be (-161)\/46*(1 - 19\/7). What is i(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9659 + 4831 + 3361*k + 5930*k + 4828 + (-k + 2*k + k)*(-1 - 3 + 5).\nAnswer: 9293*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - (3 - 3)) + 1237 + -1198.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3422317 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*k + 67*k - 26*k + 5125 = -599 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i + 2. Let r(v) = 2*v + 3. Let m be (9 + 77\/(-7))\/(0 + -1). Calculate m*r(o) - 5*b(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 + z**2 - z + 1. Let t be h(0). Let c = 7 - t. Solve c = -i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6137309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x + 1 - 4 + 2. Let t be g(-1). Let q be (t + 5)\/(2 + -1). Solve 4*c = -q - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*v + 20 - 125 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.32093057 - -43.93?\nAnswer: 50.25093057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2 + 168 - 2*f - f - 175. Let n be p(4). Suppose -12 = -n*y + 15*y. Is y at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.05408 and -0.135939.\nAnswer: -0.190019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2. Suppose -43 - 49 = -2*f. Let i be 1\/(-4 + 186\/f). Let s(l) = i*l + 32*l - 46*l. Determine r(s(t)).\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 91*w + 1775. Calculate the remainder when 1528 is divided by o(28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1607305 divided by -35\nAnswer: 45923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s - s - 16 + 25. Is 25 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*i + 35*i - 1904 + 188 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) + (-4*sqrt(110)*-1 - sqrt(110)))\/(4*1*sqrt(10)))**2 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 335944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - k + 8 = 0. Suppose -k*f = 4*h - 2, 3*h + 14 + 4 = 5*f. Suppose -50 = -8*g + f*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 209\/2254140 and -121\/30?\nAnswer: 2254140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19909 or 19888?\nAnswer: 19888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**4\/15 + 12322*v**3\/3 - 2*v**2\/15 - 12322*v\/3 = 0.\nAnswer: -30805, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15 or 339\/25?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 2*y**4\/5 - 301794*y**3\/5 + 60358*y**2 + 301794*y\/5 - 301792\/5 = 0?\nAnswer: -1, 1, 150896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -35*o - 1364. Calculate the smallest common multiple of 36 and a(-40).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l + 4. Let v be n(-6). Let u be (v\/(-14) + 1)\/1. Factor -4\/7*x - u - 2\/7*x**2.\nAnswer: -2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.37 - 0.416. Let a = 107.4199958 + -107.374. Let z = a + v. Round z to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*f + 19, 0 = 2*u + 2*f - 10. Suppose u*g + 4*g = 112. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 163152\nAnswer: 48945.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 403443.\nAnswer: 3, 23, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qrm when three letters picked without replacement from mmqr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1391*t**2 - 21*t**3 + 1391*t**2)*(-2*t + 4 - 4)*(6 - 3 - 4) + (2*t + 0 + 0)*(-2*t**3 + 4*t**3 - 4*t**3) - 3*t**4 + 3*t**4 + 2*t**4.\nAnswer: -44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -391, -1437, -3507, -6943, -12087, -19281?\nAnswer: -28867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/((-15 + 5)\/5). Let f be 6*(3\/(-9) + y). Solve -f*b - 3*j + 8 = 0, 5*j - 24 = 2*b + 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/((-184)\/60 - -3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.055 - -2.2063. Let j = -16.7887 - l. Let d = j - -17. What is d rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 124 or 167?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26b3ba (base 14) to base 13.\nAnswer: 37a794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/30)\/(4\/12). Sort x, -1, -3 in ascending order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - -412402?\nAnswer: 412403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 9*b**3 - 3*b**2 + 13*b - 16. Let o be v(2). Calculate the highest common divisor of 45 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*a - 67 - 497 = -a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(100\/(-4))\/25.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 26 = 2*t, 2*t + 9517 = -o + 9491 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 5*h**2 + 264*h + 2148. Determine z(-8).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -2243?\nAnswer: -2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**5\/2 + 62537*q**4 + 3910751293*q**3\/2 - 3910938906*q**2 + 1955500722*q = 0.\nAnswer: -62538, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 3*d = -d - 407, 0 = -d + 1. Let k = l - 47. What is the highest common divisor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c - 7. Let j be v(-7). Let r(a) = a + 57. Is r(j) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 2*g**3 - 5 + (2*g**2 + g**2 - 6*g**2)*(-3*g + 4*g - 3*g) as o + l*g**3 + f*g**2 + x*g and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -22, 19, 86, 185, 322?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 265008?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 17*i**2. Let r(y) = -1327720*y. Calculate r(z(g)).\nAnswer: -22571240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5*z = -30, 2*x + z = -6 + 21. Suppose -x*f + 2*f + 1475 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/1*(-28)\/((-77)\/(-11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 12, -77, 4.\nAnswer: -77, -4, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 2*l**2 + l + 3. Let q be j(0). Put q, -5, 0 in ascending order.\nAnswer: -5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2731, 2745, 2759, 2773?\n\"Answer: 14*n + 2717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 9*y**2 - 2*y - 1. What is p(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 - 17. Suppose b + 4 = -5*c + 28, 0 = -4*c + 5*b - 4. Suppose c*y = 2*y + d. Solve k - y = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38\/99 - 3\/11. Let h be (-15)\/10 + (-7)\/(770\/(-185)). Which is the smallest value?  (a) -5  (b) h  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/17097 and 31\/27600?\nAnswer: 157292400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/4 + 3 + 3. Let o be (-35)\/7*(1 + 18\/u). Calculate the remainder when (-496)\/o + (-15)\/35 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 12653290 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2. Let r be (6\/4)\/((-21)\/(-28)). Let w(z) = 3*z**2 + 4*z**2 + r*z - 2*z. Determine w(k(c)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4775467891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -8. Suppose 0*m = -d*m + 10. Suppose 4*k = m*k - 635. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 - -21. Sort 0.3, g, 0 in descending order.\nAnswer: 0.3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -49 - -296a?\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 4\/49, 0.5 in increasing order.\nAnswer: 4\/49, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14734886 rounded to the nearest 10000?\nAnswer: -14730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*2\/180)\/((-6)\/(-24))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-165.6483.\nAnswer: -828.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -63*f**2 - 5. Let t be x(-5). What is t rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = -4*p. What is the fourth biggest value in -0.4, p, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + 0)*-4 + 3 + sqrt(95)\/sqrt(5) + (sqrt(931) + -3)*-4.\nAnswer: -31*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*o - 62 - 13 = 0. What is the lowest common multiple of 30 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 11*q - 1350. Calculate the remainder when q is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w - 12*w = -25. Let a(l) = 17*l**2 - 5. Let r(j) = 8*j**2 - 3. Let c(i) = w*r(i) + 3*a(i). Let u(g) = 2*g**2. What is c(u(y))?\nAnswer: 44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5.393 and -2291037.\nAnswer: -2291031.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*h + 2. Suppose -2*g + 0*s + 12 = 3*s, h = 3*g - 4*s. Suppose -5*u + 4 = 19. Sort -5, g, u in descending order.\nAnswer: g, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 1 - (24 - 24) - 1) + -48 + 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2206*g + 2211*g = -25. Let l(d) = -d - 2. Let k(u) = -1. Give g*k(a) + 2*l(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2529 + 516 - 7*n - 1588 + 4113 + 6*n.\nAnswer: -n + 5570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + z + 11, -3*k + 4 + 6 = -4*z. Suppose 0*m - 3 = 5*m - 4*v, m - k*v = -3. Solve 3*u = 4*u + m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 0.06, -2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and 1260497695.\nAnswer: 1260497692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 981420 by 330.\nAnswer: 2974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -33  (b) -4  (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 5*h - 39, 5*z + 4*h - h = 145. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 + 10*z + 14. Let i be p(11). Suppose -2*x + 3*c = 12, -5*x - 15 = -3*c - i. Solve -v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 295375, 295377, 295381, 295387?\nAnswer: 295395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -64, -95, -136, -187?\n\"Answer: -5*a**2 - 16*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8367281 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 36\/(-15) - (-4)\/10. Which is the nearest to -1\/2?  (a) -1\/4  (b) 1\/2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - 10*t + 6. Let b be c(-11). Let m = 28 + b. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 44.8477 - -0.1523. Which is the biggest value?  (a) 4  (b) -3  (c) i  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23037 (base 14) in base 3?\nAnswer: 11022202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18771 less than 18771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 9:44 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-228)\/(-14) - 6\/21. Let w be z\/10 - 8\/(-20). Solve 7*i - 10 = 2*i - v, -w*i - 23 = -5*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 25*c - 64. Determine n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 47?  (a) 0  (b) 2\/5  (c) -0.2  (d) -1  (e) 0.06802  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - 30. Let c = 16 + v. Let r(h) = -12*h + h - c*h. Let l(g) = -2*g. Determine r(l(w)).\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 7*v - 40. Let d be v\/36 + (-446)\/(-18). List the prime factors of (d - -2)\/(1\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3740, 3769, 3808, 3863, 3940, 4045?\n\"Answer: y**3 - y**2 + 25*y + 3715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9089?\nAnswer: 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -4. Suppose 4*f - 37 - 19 = b. Suppose p + 0 = 3*o - 2, o - f = -p. What is the remainder when 28 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 10. Let d be 4\/(-10) + (-138)\/30. Let h be (-5)\/(d\/3) + 0. Solve -c + 22 = n + h*y, 4*y - 21 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**5 - x**4 + x**2 - x + 1. Let t(q) = -12*q**5 - q**4 + 13*q**2 - 2*q + 1. Let f(u) = 2*l(u) - 2*t(u). What is the third derivative of f(v) wrt v?\nAnswer: 1560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 10*s**2 - 11*s - 21. Let l be x(7). Let q = 51 - l. Solve -d - q*u = -6, -d + 3*u + 10 = 7*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 16 = 1. Let u = 92 + -49. What is the remainder when u is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -14. Let o(b) = -b**2 + 7*b + 2. Calculate o(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1032414143 (base 5) in base 11?\nAnswer: -1295286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 5, 70 = 5*w - 5*h. Solve 1 = 4*f - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1bd4 - 2850?\nAnswer: -4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*l**3 - 1 + 1)*((-1 + 7 - 3)*(l + 0*l + l) + l - 2*l - 3*l) in the form u*l**4 + i*l**2 + p*l + m*l**3 + a and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-213*x**3 + 405*x**3 + 326*x**3)*(-x**2 + 2*x**2 + x**2).\nAnswer: 1036*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1598 and 23834.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9061605 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6025042 - 5021?\nAnswer: 6020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*n, -29 = 3*t - 2*n - 2*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5, -3, 419, -1323, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 7*v**5\/60 + v**4\/24 + v**3\/6 + v**2. Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3132286 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 2*t - 14, 3*b + 3*t + 1 + 2 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44013683 divided by -259.\nAnswer: -169937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, x: 2, c: 1}. What is prob of sequence cy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {m: 1, p: 3, o: 6, n: 7}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.4, 4\/189, -28\/81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**3 - 7*i**2 - 5*i + 1. Let o be r(-4). Let u = -14 + o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of x**6\/180 - x**5\/30 + x**4\/8 - 6*x**3 + 13*x**2 - 3. Let z(j) be the first derivative of q(j). Give z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1264892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -5*c**3 + 9*c + 13. Let y be n(-3). What is the highest common factor of 44 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71717213 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13233 = 398*p - 387*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2 - 3542*u + 3136441.\nAnswer: (u - 1771)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from nhshssesnssnsn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -340616 - -235270. Let j be o\/4*348\/(-6). Let k = 427517 - j. Round k to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -15, 44, 147, 294, 485?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -166136 * 2.08\nAnswer: -345562.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**2 - 157*y - 318 = 0.\nAnswer: -2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 1170 = 2*a - 4*a, -5*j = -a + 565. Suppose -7*v + 11*v - 2*p - a = 0, 2*v - 5*p - 291 = 0. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**4*j*j))\/j**(1\/6)*(j**(3\/2)*j)\/((j*j**(-1\/5))\/j))\/((j**4\/j**6)\/(j\/(j**(-1)\/j))**18) assuming j is positive.\nAnswer: j**(788\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nunnulullfunu. What is prob of sequence ulfl?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59098 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.022407 * -0.19.\nAnswer: 0.00425733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5760 by 36.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2931*r - 51235. Give u(-18).\nAnswer: 1523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18852.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3 + 7932*g**2 - 7864578*g.\nAnswer: -2*g*(g - 1983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4*d + 4*w - 5, -3*d + 5*w - 25 = 0. Suppose -4*q + 2*q = d. Let i = 2 + -1. Put i, -2, q in descending order.\nAnswer: i, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7506458 or 7506459?\nAnswer: 7506458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67*-1.8.\nAnswer: 120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 69653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 5*d - 2*n + 28, 96 = -4*d + 4*n. Let w(r) = r**2 + 18*r - 20. Let c be w(d). Solve -3*t = -b - 12, -t + 6*t = 5*b + c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 - 2 - 6*r - 2*r**2 + 6*r. Let s(q) = -3*q**2. Determine s(k(m)).\nAnswer: -3*m**4 - 12*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1082393327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 108685346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1*(-1 + 0 + (sqrt(1100)*-1*-6*-3)**2 + 2).\nAnswer: 356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 535*f + 26. Does 22 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -10*t**2 + 1. Let d be o(-1). Let j(i) = 7*i - 7. Let s(w) = -3*w + 3. Determine d*s(n) - 4*j(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 - 25*l - 16. Let d be b(-26). What is the units digit of (-508)\/(-18) + d\/189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*10\/(-24)*184\/46?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*q - 165 = 33*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12726002.\nAnswer: 2, 37, 47, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 2*f**2\/11 + 4*f\/11 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z. Let t(f) = -5*f - 4. Let x = -81 + 90. Let p(l) = 10*l + 9. Let u(a) = x*t(a) + 4*p(a). Determine u(q(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, -1\/2, -2, -18.7, 0.576, -2\/7, -14\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 1111*r**4\/2 + 2*r**3 + 2*r**2 - 6. Let d(m) be the second derivative of t(m). Let f be d(9). Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 144*y**2 + 117*y - 1051. Is j(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304)*1 + -5 - sqrt(304)) + 0)**2 - (sqrt(304)*-2*1 - (sqrt(304) + (1 + sqrt(304))*-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (128 - 20*j - 11*j + 34*j)*(5*j**2 + 0*j**2 - 2*j**2).\nAnswer: 9*j**3 + 384*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -h + 45. Let g be (10\/(-60))\/(15\/h). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of -4*s**3\/3 - 107. Let p(b) = -2*b - 20. Give x(p(g)).\nAnswer: -16*g**2 - 320*g - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/231 and -163\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73488328?\nAnswer: 2, 79, 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0 = 2, 0 = -k + 2*i. Suppose 0 = -k*y - 2*y - 4*j + 52, -j + 77 = 5*y. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37635681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 208133 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393289 is divided by 1174.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45 + 20 + 25 + 11*g to b + m*g and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389019 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 111169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7157291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3120003*s - 9. Let a be j(-3). Round a to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.102 + 87.102. Let m = n - 86.9953. Round m to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (187\/31790*96\/(-3))\/(8*5\/(-50))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 4 + -4 + 65 + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*3\/12*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -360, -8 in descending order.\nAnswer: 2, -8, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(-2*c**4 + c**4 + 0*c**4) + (-38 + 38 + 8*c**2)*(0*c + 0*c + 2*c**2) + (11*c - 18*c + 42*c)*(2*c**3 - 5*c**3 + 2*c**3).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from apapaaapaaaaaappaap. Give prob of picking 1 p and 2 a.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/4 + 4\/8. Suppose -3*p + n*p = 6. Let o(s) = -s + 1. Determine o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101110001001010001 + 11?\nAnswer: -101101110001001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) -0.09  (c) -1\/4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19\/4?  (a) 4  (b) -4  (c) 1\/6  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -4*t + 3. Let c(y) = -2*y + 62. Let o(l) = 2*l - 52. Let g(z) = 5*c(z) + 6*o(z). Calculate 5*g(k) + 2*u(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15085 divided by 3017?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (4 - 12) + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37.6, 4, 0.3, 6, 0.5, 3 in increasing order.\nAnswer: -37.6, 0.3, 0.5, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, f: 1, p: 2, r: 1, e: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4*k**2 + 11*k**2 - 9 - 16*k**2 - 177*k + 170*k. Calculate a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 7)*10\/35?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 574633618 to the nearest integer?\nAnswer: 23972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223 = -13*k + 50. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*q - 5*r - 85 = 0, r = 1. Let b = -78 + q. What is the common denominator of 65\/12 and (95\/(-14))\/(b\/56)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 287*v + 53406 = 330*v. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28750606 greater than or equal to 28750605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 331406207 + 5?\nAnswer: 331406213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 76.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -0.62?\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - 7*y - 27. What is p(5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*y - 4*v - 48, -3*v + 23071 = y + 23079 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 642386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -0.074?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-390)\/(-70))\/((-3)\/(-5)*(-225)\/(-945))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.21, 2\/11, -3, 8, 3\/28, -3\/4 in decreasing order.\nAnswer: 8, 0.21, 2\/11, 3\/28, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d + 23. Let b be n(-10). Let u be 158\/22 + (-6)\/b. Solve u = -4*i - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -42 + 79. Which is greater: o or 36?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/6  (b) 1  (c) -1\/14  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3 + 1, 201 = j - 3*b. Suppose i - 46 = -5*p, -44 = 79*i - 81*i + 2*p. What is the remainder when j is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -865, -1546, -2123, -2596, -2965, -3230?\n\"Answer: 52*a**2 - 837*a - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 9) to base 8.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 337, -28, -4, 2, -5, 76 in decreasing order.\nAnswer: 337, 76, 2, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-192)*(-6)\/(-18))\/((-35)\/(-315)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - k)*(-k**2 + 2*k + 5*k - 8*k).\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -164298 and -164298 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 890\/807 or 0.4?\nAnswer: 890\/807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, -3, 1\/12, 1\/3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2514389 or 17600714\/7?\nAnswer: 2514389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l**2 - 62. Let g(z) = -10*z**2 - 186. Let k(q) = -7*f(q) + 2*g(q). Let n = 21 + -21. List the prime factors of k(n).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -241.4 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j + 8, -3*q - 5*j + 34 = 0. Suppose 12 = -3*f + 3*i, -q*f - 2*i + 15 = -3*f. Let l be (15 - f)*(-6)\/(-7). Solve -l = x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1754458632.\nAnswer: 2, 3, 19, 1282499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4193488653 to the power of 1\/3, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q**2 + 4*q**2 + 0*q**2)*(3*q - q + 4*q) + 2*q - 4*q**3 + 0*q - 3*q - 1 as p*q + z*q**3 + a*q**2 + r and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/1)\/(-2)*4599\/(-657)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m. Let v(a) = -14*a**2 + 84. Let x(h) = 4*h**2 - 2. Let k(y) = 8*v(y) + 336*x(y). Calculate b(k(o)).\nAnswer: -1232*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 624957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 253\/(-77) + 4 - 484\/(-77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -41992940 - 37122.\nAnswer: -42030062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11\/3?  (a) -1\/2  (b) -2\/5  (c) -31  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3170205?\nAnswer: 3, 5, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 12*u**2 + 7*u + 1. Let i(m) = m**3 - 13*m**2 + 8*m + 2. Let p(k) = -5*i(k) + 6*r(k). What is the units digit of p(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 498411 (base 12) to base 6.\nAnswer: 41350421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of y**6\/120 + y**5\/5 - 2*y**4\/3 + 2*y**3\/3 - 7*y**2. Is u(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -222*o**3 + o**2 - o. Let n be f(1). Let u be (n\/9)\/((-8)\/(-30)). Let a = -57 - u. Calculate the common denominator of a and 137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (33\/6 - (-9)\/(0 - 1))*72\/(-84)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3.9842*-0.0355\nAnswer: -0.1414391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(468) + 3)**2.\nAnswer: -1908 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1201815621 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 335, 338, 351, 380, 431, 510, 623, 776?\n\"Answer: x**3 - x**2 - x + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -5*c**3 - 8*c - 6. Let v(k) = -2*k**3 - 3*k - 6. Let s(w) = 2*w**3 + 3*w + 5. Let y(g) = 4*s(g) + 3*v(g). Let x = -323 - -312. Give x*y(q) - 4*p(q).\nAnswer: -2*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of m**3\/6 - m. Let g(i) be the second derivative of -i**3\/3 - 12*i. What is g(j(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000380694 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + t. Let a(u) = -15*u**2 - 20*u. Suppose -10*p - 395 + 195 = 0. Give p*d(c) - a(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39 - 37. What are the prime factors of (-3 - (l - 4)) + 159?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -212, -5, -61, 0 in ascending order.\nAnswer: -212, -61, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 14758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1341167 - -5?\nAnswer: -1341162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/40 and 43\/54.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 1, w: 2, d: 11, l: 1, q: 3, i: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/18 and -1\/314.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8098 - -11147. What are the prime factors of m?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y = -8*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 776 and 72.\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 + 3 + 849 + -739 - 6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -162*(-2 - 2 - 14\/(-3)). Let b = a + 357. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/12)\/k**(-7))\/(k*k**(-1))**(-1\/3) assuming k is positive.\nAnswer: k**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*j**4 + 15*j**3 - 13*j**4 + 7*j**3 - 5*j**4 - 238*j - 273*j wrt j?\nAnswer: -96*j**2 + 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-7630)\/5600 - (-8)\/6 and 157\/228.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6*(-8)\/16 + 43. What is the units digit of 542 + -7 + o\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 4*d + 30 = 0. Solve -t = 2*t - d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((-3)\/10*124\/15)\/(72\/90).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p + 2*p - 2*p**2 + 0*p + p**2 + 0*p + (-2*p**2 - 3 + 3)*(0 - 4 + 3) + 63*p**2 - 160 + 64 + 102.\nAnswer: 64*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -d**6\/180 + d**5\/120 + d**4\/6 + d**3\/3 + 7*d. Let a(k) be the second derivative of l(k). Calculate a(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3218.1317 - -1944908\nAnswer: 1948126.1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150161?\nAnswer: 11, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6300 and 8205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -145\/4 + 36. Which is the nearest to t?  (a) 3\/4  (b) 7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i - 3*i + 8*i. Let p be (3 - (-70)\/(-15))\/((-2)\/6). Let d(h) = -4*h. What is p*m(g) + 7*d(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -92882056*d**3 - 139221212*d**2 wrt d?\nAnswer: -557292336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 - 33. Suppose -3*g = -4*m - 2, -2*g - 7 - 3 = d*m. What is the closest to m in 2, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/1320 and 199\/557040.\nAnswer: 557040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -221, -441, -663, -887, -1113, -1341?\n\"Answer: -h**2 - 217*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2455 by 11.\nAnswer: -2455\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -3*w, -2*w - 1568590 = -3*o - 1568595 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bww when three letters picked without replacement from bbbwbbwbbbbwwwbwwwbw?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2070005759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s - 11. Suppose -5*w - 4*z = -8*w + 191, 5*w - z = 341. Let g = w - 58. What is x(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 AM and 5:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 21200 (base 3) to base 14\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -4  (b) 2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4*(-16 + 4). Let l be a\/1*6\/(-18). Suppose -2*r + 6*r = 20. Solve -r = l*q - q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 4 = 0, z + 4*z - 2*i - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 226 - 33 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -66 (base 13) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 21 = 3*u - 3*y, -2*u = 3*y - 21. Suppose 5*w + 2*r = -9 + 23, -u = -5*w + 2*r. Is 11 a factor of 2 + (2 - (w - 9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162 = 3*c - 168. Suppose 2*y - y = 2, -4*r = -4*y + 8. What is the second biggest value in 0.1, r, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-4) + (-27)\/18. Which is greater: v or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -10*k - 86. Let h be x(-9). Suppose -6*c - 4*u = -2*c + 4, -2*c + 3*u + 13 = 0. Let o = 7 + 7. Solve 3*y + c*p = o, y + h*p = -p + 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -875 - -2371. Suppose 4*v = 5*l - 1993, 3*l + 296 = v + d. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94080 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45492 is divided by 22745.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*z + 1543 = -455 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5641427 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-164)\/14 + 18\/(-63). Let v be 69603\/j - 2\/(-8). What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 381*f - 14*f - 54*f to the form s + g*f and give g.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -198000 divided by 500\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/121551682 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -215459, -430980, -646501, -862022, -1077543, -1293064?\nAnswer: -1508585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 10:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 0 - 2*o**2 + 2\/3*o**3 + 0*o + 1\/6*o**4. What is the derivative of q(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4*g**2. Let h(c) = c**2 - 4*c. Let z be h(4). Let y(l) = -4*l + z*l + 0*l. Calculate y(k(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.203, -47, 0.5, -0.028?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03409 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16, 1, -0.0432?\nAnswer: -0.0432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/(-10))\/(-2*12\/(-120)). Let s(i) be the first derivative of 0*i + 0*i**3 + 2\/3*i**c - 10 - 1\/15*i**5 - 1\/4*i**4. Determine d so that s(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -41 + 80 - 168*n - 39 in the form p*n + f and give p.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -275670 greater than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -61 - -65. Suppose 0*b - u*a = -b - 16, 0 = -3*b + a - 15. List the prime factors of ((-93)\/b)\/(30\/280).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 114547 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -4*c + 95. Let y = c - 5. What is the units digit of ((-12)\/y)\/(2\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -5*t**4 + 20*t**3 - 96*t**2 + 252*t - 252. Let d(c) = -c**4 + c**3 - c + 1. Let g(f) = -3*b(f) + 12*d(f). Solve g(x) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {p: 2, a: 1, m: 7, b: 1, t: 2, y: 4}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 15 = 5*i, -15*h + 11*h + 3 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m**3 - 250*m**2 - 123*m + 37. Let v be x(84). Solve -v + 3845 = -4*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from maxmmmmmxakc. What is prob of sequence kx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 40*x - 335. Calculate p(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 4) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o + 0*o + o + (4 + 1 + 0)*(-3*o - 2*o + 3*o) to the form l + g*o and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2*w + 8 = 3*w, -2*t - 3*w + 5 = 0. Suppose -2*i = -9 + t. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4567588 is divided by 326256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 13*k**2 - 2*k**3 + 83*k**2 + 7.\nAnswer: -2*k**3 + 70*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-5 + 0 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2403132 (base 5) in base 14?\nAnswer: 1214b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1)\/b)\/b**(-6)*(b\/(b*b**(3\/2)*b))\/b*b*b*b*b*b**(2\/7) assuming b is positive.\nAnswer: b**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 9:33 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10930516 is divided by 1568.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/9*-9 + (68 - 1). Suppose -q = -2*t - 62. Let f(x) = -x**2 - x - 1. Give f(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.29193 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**6*q)\/(q**(-11)\/q))\/((q**(3\/8)*q)\/q**6) assuming q is positive.\nAnswer: q**(189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4*h**2. Let n(s) = 696*s. Calculate l(n(i)).\nAnswer: -1937664*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 20 = -5*k. Let c = -8 + 13. Let s be 2\/k - c\/(-2). Solve y = -4*l - s*y - 28, 0 = l - 2*y - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 + 7*z + 3. Suppose 0 = -20*a + 18*a + 76. Let p = 44 - a. Determine u(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 3:22 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.942889 grams in nanograms?\nAnswer: 9942889000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 5*c = 20, -947*w = -945*w - 4*c - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**2\/5 - 8724*d\/5 + 26562536 = 0. What is d?\nAnswer: -6955, 4774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r**3 + r**2 + 4*r + 36. Let k(g) = -6*g**3 - 2*g**2 - 5*g - 35. Determine 2*k(u) + 3*p(u).\nAnswer: 6*u**3 - u**2 + 2*u + 38","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 112 or 445\/4?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -41, -246, -793, -1850, -3585, -6166, -9761?\n\"Answer: -28*c**3 - 3*c**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -20*m**3 - 3*m**2 - 6*m - 4. Let v be n(-4). Suppose 4*o - 4*x + 1252 = 0, 0*o + x + v = -4*o. What is o rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -126*v**3 - 321 + 645 + 127*v**3 - 324.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*p**4 - 251*p**5 + 22491*p**2 - 111*p - 22492*p**2 - 106*p**5 wrt p.\nAnswer: -21420*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - 0)\/(((-2)\/3)\/1). Is (-2)\/o*3 - -267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/((-88)\/(-56)) + (20 - (1 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((-27 - -111) + -131).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j + 857. What is t(19)?\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 25*p**3 - 5*p**2 + 2. Let m(y) = 12*y**3 + 1 - 1 - 30*y**2 + 27*y**2 + 1. Let q(c) = -5*m(c) + 3*x(c). Differentiate q(u) with respect to u.\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of -n**3\/6 - n**2\/2 - n. Let w = -8 + 19. What is the smallest common multiple of w and k(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55 - -27. Suppose v - 3 + 59 = 0. Let a = k - v. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + w = -4*w - 25, 4*v + 4*w = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/35*63\/108*-6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggoooffogogg. What is prob of sequence ggff?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -61821, -68734, -75647, -82560?\n\"Answer: -6913*u - 54908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5804278 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 217703 and 4408.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5951 + 3790 = 0. Suppose -5*y = 3*g - 2*g - n, -4*y + 3*g = -7808. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -42482.4 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1400429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (32\/(-10) + 4)\/(14\/35). Suppose -15*v = -p*v - 312. Calculate the greatest common factor of 456 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5498454, -5498443, -5498432, -5498421, -5498410, -5498399?\n\"Answer: 11*d - 5498465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 124 by 90.\nAnswer: 62\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 5, 754, 2\/19, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 524010 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.05 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37985 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from mmspqmmqim.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4344144 (base 5) to base 14.\nAnswer: -1d43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t*(t\/(t**8\/t))\/t)))\/t**(3\/5))**(16\/9) assuming t is positive.\nAnswer: t**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2869, -3335, -3801, -4267, -4733, -5199?\nAnswer: -5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160377 is divided by 40067?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*q - 9097 + 9104 + 3*q - 2*q**2 + (1 + 1 + 0)*(-4*q**2 + 0*q**2 + 3*q**2) in the form z + n*q + t*q**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 65, 263, 593, 1055, 1649?\n\"Answer: 66*q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of x**3\/6 - x**2 + 6*x. Let q be y(4). What is the third derivative of 0*g**6 + 4*g**q + 3*g**6 - 4*g**6 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.108 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, h: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**5 - r**3 - r**2 - 1. Let s(p) = -17*p**5 - 6*p**3 - 7*p**2 - 6. Let b(y) = -s(y) + 6*t(y). What is the third derivative of b(k) wrt k?\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*r**2 - 19*r**2 + 16*r**2 - 993 + 993 + 18*r**2.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 842856 and 145?\nAnswer: 4214280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*f**2 + 39*f**2 - 7*f**3 - 12*f**2 - 11*f**2.\nAnswer: -7*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -28*l + 42. Let w(x) = -9*x + 14. Let m(y) = 5*o(y) - 16*w(y). What is the least common multiple of 28 and m(6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180749921?\nAnswer: 11, 37, 47, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 48270 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 898724 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -4*i - 17. What is t(-12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 2360801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 u, 1 s, and 1 t when four letters picked without replacement from svlltvku?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 528 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 54 = -3*x - 58, 0 = -5*c - 5*x - 10. Suppose -c*u = 5*p - 1493, 5*u + 1181 + 319 = 5*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -95 divided by 13\nAnswer: -95\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 9 = 2*b, 1 - 10 = b - 5*s. Let c = b - -13. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*(sqrt(288)*-1 + sqrt(288))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1991660 and 2992?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -52 - -3?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 80.41124.\nAnswer: -80.41124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -12113, 0, 2, -3, -1, 1 in descending order.\nAnswer: 2, 1, 0, -1, -3, -12113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 - -13?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12682092 and 1686.\nAnswer: 12682092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.91506 millennia in centuries?\nAnswer: 59.1506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 2. Let q be 2\/((-24)\/(-21) - m). Suppose -140 = 7*t - 12*t. What is the greatest common divisor of q and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 26 = 2*t, -2*t + z - 8 = -3*z. Let q(n) = 2*n**2 + 6*n + 15. What is the tens digit of q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-6)*1*(-66 - (-12 - 3)). Suppose -3*c + 11 = -f, 2*f + 5*c + 112 = -2*f. Let p = s - f. Solve -p*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 8, 1, -1\/4 in descending order.\nAnswer: 18, 8, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(153) - sqrt(153)*-1)*-6 - 1*sqrt(153)*2)\/(4*(sqrt(9) + sqrt(36)\/sqrt(4)) + sqrt(9)*1*2))**2.\nAnswer: 833\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*p**3 + 350*p**2 + 854*p + 340 = 0. Calculate p.\nAnswer: -85, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 2*q + 10. Suppose -3*s + 7*s + 36 = 0. Let x(y) = -y - 6. What is the smallest common multiple of q and x(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 473*a**3 + 11*a**2. Let m(n) = 118*n**3 + 3*n**2. What is 11*m(g) - 3*s(g)?\nAnswer: -121*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 27\/(-5)*(-1749)\/(-21). Let s = 2218\/5 + z. Calculate the common denominator of s and 61\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c9 - -8?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1355207 and 2765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*f = -210*f + 4752 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 1:15 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 930734.\nAnswer: 5\/930734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2373 + 18*s**2 - 60*s**2 - 2369)*(-2 + 4 - 4)*(2 - 1 + 0)*(3*s - 2*s + 2*s).\nAnswer: 252*s**3 - 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*h - 5*p, h + 2*p = -2*h + 29. Suppose -4*x + 12 = 5*c, 2*x - h*x + 15 = 4*c. Let u = -123 - -120. Put u, -5, c in descending order.\nAnswer: c, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 6:48 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, f: 3}. What is prob of picking 1 u and 1 f?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/(20295\/164))\/8.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 125.83646 rounded to zero dps?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d - 16. Let r be s(16). Suppose 3*p + p - 20 = 0. Let 1\/3*q**p - 2\/3*q**3 + 0*q**4 + 1\/3*q + 0*q**2 + r = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.42 - 0.33. Let n = z - -1.91. Let q be (-1 - (-3)\/9)\/(56\/63). Which is the closest to -0.1?  (a) n  (b) 0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 5*k - 90, -72 = -3*m - 3070*k + 3069*k for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33*a**6*w + 2*a**4*w**2 + 2*a**2*w**2 + 14*a*w**2 wrt a.\nAnswer: -3960*a**3*w + 48*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1110310 and 81?\nAnswer: 89935110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20323230111 + 1123?\nAnswer: 20323231300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -28 - ((0 - 0) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 104\/78*2331\/148?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -34977?\nAnswer: -34974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*n = 5*h + 126*n - 7263, 5*n - 1443 = -h. Calculate the remainder when h is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/(-4))\/((-3)\/(-12)). Suppose 5*m - 8 = z + h, 0 = m - 3*z - 9. Calculate the common denominator of (-261)\/24 + 1 - m\/(-3) and -51\/58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/4116 and 115\/21756?\nAnswer: 152292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*k**3 - 32*k**3 + 57*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 0*t - t)*(2 - 2*t - 2) + 9*t**2 - 16*t**2 + t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8104 + 1482 = -467*n + 4586 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 17*u**2 + 15*u + 23. What is g(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -54*b + 943. Give i(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 2*z**2 + 8. Let a be b(-3). Sort -2, 4, -3, a.\nAnswer: -3, -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*k**2 + k**3 - 2*k**3 + 2*k**4 - k**4 + 0*k**3 as o*k**3 + y*k + n*k**2 + l*k**4 + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 16. Solve 3*q = -u*g - 32, -5*g - q - 1 = 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j - 8. Suppose 0 = o + 2*o - 4*u - 37, 2*o = -5*u - 6. Let t be a(o). Put t, 5, -5 in increasing order.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 3:47 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**3 - 277*w**2 - 1898*w + 1917. Determine l(145).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.25, -41\/3, -16?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 69\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 83678774 or 83678773?\nAnswer: 83678774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 820255?\nAnswer: 5, 164051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 56 + 31163?\nAnswer: 31241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -850*q**3*w**3 + 1682*q**3*w**2 + 1235*q*w**3 + 7*q + w**2 wrt q?\nAnswer: -5100*q*w**3 + 10092*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -15*c - 11*c + 40*c - 42*c**2 - 17*c. Let n(o) = 13*o**2. Determine u(n(a)).\nAnswer: -7098*a**4 - 39*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6819623 - 0.431\nAnswer: -6819623.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28413 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from ttqthmq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 26\/39*10707\/(-166)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 44*g - 6. Let f be p(5). Let w be f\/10 + (-10)\/25. Let l be -2*3\/(-24)*-4 + 85. Calculate the greatest common divisor of l and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 9:59 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**4\/12 - g**3\/3 + 2*g**2. Let f be z(3). Let s(i) be the second derivative of -i**4\/12 + i**3\/3 + i**2 - 76*i. Give s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1347\/16642 or 1?\nAnswer: -1347\/16642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 73949, 146211, 218473, 290735?\n\"Answer: 72262*u + 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 c when three letters picked without replacement from hhyhyycyccyyhhhcy?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/15)\/((-4)\/12)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46618.999964149 - -46619. What is z rounded to 6 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(286) - (sqrt(286) - sqrt(286)*-1*-5))\/sqrt(11))\/(sqrt(6)\/(sqrt(9)\/sqrt(3)) + (sqrt(24)\/(sqrt(12)*-2) - sqrt(2))).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153 divided by -3805282.\nAnswer: -153\/3805282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*x - 931 = 0, 3*q - 4*x - 110 = 845. What is the remainder when q is divided by 149?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 - 62 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-658)\/105 - ((-4)\/10)\/((-418)\/30 - -14)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17.20346358 + -31.26345579. Let r = -14.06 - n. What is r rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -3*v + 1. Let a(n) = 13*n - 6. Let f(u) = -7*u + 3. Let q(r) = 6*a(r) + 13*f(r). Give 2*q(h) - 9*t(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven fourteenths of a week in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (40\/48*(-6)\/15)\/((-3)\/27). Let d(l) be the second derivative of 0 + 6*l**2 + 1\/45*l**6 + 10*l - 7\/18*l**4 - 1\/10*l**5 + 5\/3*l**f. Factor d(r).\nAnswer: 2*(r - 3)**2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2297544*y + 2877976 wrt y?\nAnswer: 2297544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10522298*r**2 - 10522298*r**2 - 8*r**3 - 4*r**4 + 4 + 8*r = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y + 20*y - 510 = 0. Let a = 106 + y. Solve a*t + 4 + 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 8*j - 19. Let u be i(-23). Let l = -114 - u. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 553 - 551. Solve u + r - 22 = 5*i, -2*i - u = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77 - 261.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - -1*505\/20. Let r = c + -20. Find the common denominator of 17\/20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.23 and 54.\nAnswer: 54.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-4))\/(((-420)\/(-570))\/(24\/171))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10431 + 10434. Solve 4*h = -z + d*h - 1, -5*z = -3*h + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.24 - 0.28. Let h = 0.5199908 + z. Round h to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z**3 - 2*z**3 + 6*z**3)*(670820 + 878*z - 670820) in the form j*z + v + i*z**4 + g*z**3 + r*z**2 and give i.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*o - 8 = 0. Let q(r) = r**2 + 2*r - 4. Let n be q(1). Let g be 2\/(o - n*16). Which is greater: 7\/4 or g?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 19226 in ascending order.\nAnswer: -1, 2, 19226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(153) - sqrt(153)*-4 - sqrt(153))\/sqrt(9)*1)**2 - (sqrt(2448)*3 + -3 + -1)**2.\nAnswer: -21776 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1753.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3622*k + 13163. Give u(-4).\nAnswer: -1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30 + -138562?\nAnswer: -138592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 105336?\nAnswer: 105336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cctbgbgm. What is prob of sequence tc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 2 + 2 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 450792277 and 923.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8235104 and 170878408.\nAnswer: 683513632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 5*f**2 + 5*f - 4. Let m be n(-4). Calculate the least common multiple of 52\/16 + 2\/m and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24698490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 63\/14 + 1\/2. Let i be (-1)\/(d*1) - (-35)\/175. Suppose i = 6*y - 420 - 252. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 13*l**2. Let u(f) = -3*f + 11*f - 5 + 4*f + f**2 - 7*f. Let n(b) = 2*b - 2. Let q(a) = 5*n(a) - 2*u(a). Calculate t(q(w)).\nAnswer: 52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 35*x**4 + 40*x**2 - 12*x - 1800. Let k(l) = 70*l**4 + 80*l**2 - 27*l - 3602. Let j(f) = 4*k(f) - 9*y(f). What is the derivative of j(p) wrt p?\nAnswer: -140*p**3 - 80*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3360 + 1966 + 51*b - 22*b - 26*b.\nAnswer: 3*b + 5326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*z. Let j be 2 + (z - -1) - 0. Differentiate j*y**3 + y**2 - 3 - y**2 + 0*y**2 wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10522346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257434280?\nAnswer: 2, 5, 89, 72313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i**2 + 9948*i - 59544 = 0.\nAnswer: 6, 2481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37451 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 36 = 40. Is v not equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3512 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -387162 * -15.\nAnswer: 5807430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2444 + 430?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6374705 is divided by 120277.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*z)*(z - z + z + 0 + 0 + z + (4 + 3 - 5)*(6*z - z - 3*z) + z - z + z)*(858 - 475 - 580)*(0*z**2 - 2*z**3 + 0*z**2).\nAnswer: -5516*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 23 = 5*w, -5*j - 48 + 40 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 12 = -3*u, 2*u + 3*u = -5*m - 20. Let v be 2\/u - (-4)\/8. Suppose v = k - 2. Solve 5*p = -4*a + 23, k*p + 0 = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/11 - (-4)\/(-22). Let u(f) = g*f - f - f. Let v(h) = 4*h**2. Let z(d) = d**2. Let o(l) = 3*v(l) - 21*z(l). Calculate o(u(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {d: 1, w: 6, j: 2, h: 2, l: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 2*j - 104. Let q be w(-11). Let o(l) = -l**3 - 2*l**2 - 2*l - 1. Let m be o(-1). Sort m, q, 4.\nAnswer: q, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301*n - 31992 = 279*n - 722*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/3)\/(-2)*(-6)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.682 and 0.293.\nAnswer: 0.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/8 and 3 + -3 - (-12)\/(-64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - (1 - 1))*-99. Let w be 951\/(-5072) - (-179)\/16. Calculate the highest common divisor of w and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 4:42 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 486 = 51*g. Calculate the least common multiple of g and 245.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 9:35 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 13. Suppose -7*b = -3*b - 16, -2*l + 5*b = t. Solve c - l = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n - 7. Let c = -10 + 15. Calculate l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 23\/2, 419.2, 1, 1\/3?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9 + 1.5. Let b = i - 1.3. Let r = b - 1.24. Round r to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/4)\/(7\/(-112)). Solve -c = -2*g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -27920.7 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 8. Let f be r + -1*(2 + -1). Suppose -d = f*h - 40, -2*h + 0*d - 2*d = -44. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2875 - 2779. Suppose -s = -n + 106 - 1, -4*n + 415 = -3*s. Let v = n - d. Solve v*w + 20 = -w + t, w - 5*t = 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pasi when four letters picked without replacement from tpapttataaiasaa.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*k = 2*x + 17, 2*x + 2*k = -8. Let c(m) = m**3 - 4*m**2 + 3. Let d be c(3). Let v be ((-8)\/(-30))\/(4\/d). Is v less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22000504 (base 6) in base 14?\nAnswer: 130172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20*j + 14*j - 11*j)*((-12 + 16 + 15)*(2*j + 2*j - 3*j) - 3*j + 5*j - j) to the form y*j + a*j**2 + t and give a.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b**2 - 3*b - 1. Let k be i(-2). Calculate the least common multiple of 3\/(-12) - k\/12 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3106*z = -7613 + 21427 + 23458 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39938.999976773 - -39939. Round k to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c + 115*c**3 - c**4 - 3*c**2 + 1 + 0 - 117*c**3 + 10*c**2 to the form a*c**3 + x*c**2 + t*c + r + z*c**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, d: 3, c: 1}. What is prob of sequence dcd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 8:32 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 588, -5, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22504 and 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, w: 1, x: 5, k: 6}. What is prob of sequence wkx?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28121976?\nAnswer: 2, 3, 19, 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 616120 - -1156.135?\nAnswer: 617276.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-8)*0)\/1. Suppose s = 6*z - 10*z + 76. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 547*c + 4838. Let x be n(-9). Which is smaller: x or -31?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 32*s**2. Let z(f) = -2600*f**2 + 80*f - 80. Let y(n) = -200*n**2 + 6*n - 6. Let c(h) = 40*y(h) - 3*z(h). Calculate p(c(d)).\nAnswer: 1280000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -40674, -40628, -40560, -40476, -40382, -40284?\n\"Answer: -q**3 + 17*q**2 + 2*q - 40692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/42)\/(92\/(-14))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 84*m**3 - 24*m**2 + 20*m + 10853. Let p(i) = 67*i**3 - 24*i**2 + 18*i + 10852. Let g(s) = 5*p(s) - 4*r(s). Differentiate g(j) wrt j.\nAnswer: -3*j**2 - 48*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 9. Let f = 27 - 27. Which is the third biggest value?  (a) 2  (b) t  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-91*m - 96*m + 223*m)*(m**3 + 0*m + 0*m) + m**4 + m - m.\nAnswer: 37*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from ssssisississ.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - -5*(sqrt(99) - -2*sqrt(99)))\/(sqrt(18)\/sqrt(2)*-2).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(2058)*-2 + sqrt(2058))*6 - sqrt(2058)))\/(1*sqrt(864) - sqrt(864)*-2).\nAnswer: 49*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0299572 + 0.03. Round k to 6 decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 7*v**2 - 9*v + 8. Let n = -20 + 28. Suppose -c + 0*c = n. List the prime factors of t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from {r: 4, g: 2, d: 5, s: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3225, -13102, -29547, -52560, -82141, -118290, -161007?\n\"Answer: -3284*l**2 - 25*l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -9933*t**2. Let q(x) = -2*x**2. Calculate q(h(l)).\nAnswer: -197328978*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261085 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 163 + -150. Let p be 4 + ((-1)\/4)\/(w\/(-156)). Solve 5*b + 2*v - 24 = -6, -2*b + p = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(171) - -1*sqrt(171))*-2 + 0.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -1. Let y(o) = o**2 - 4*o - 11. Calculate the remainder when t is divided by y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*m + 12 + 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1645*b + 572*b + 545*b + 538*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 38\/(-228)*(-1 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 2\/3)*9. Suppose 40 = 11*j - 191. Let m = -21 + j. Solve -3*k + 5*d - 23 = -k, -f*k - 4*d = m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x - 3. Calculate a(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-7))\/(((-4)\/(-70))\/((-269)\/(-33625)))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*j = 76*j + 58*j - 96 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -5. Let v(t) = 16*t + 13. Let b(m) = -4*m - 3. Let g(h) = 18*b(h) + 4*v(h). Let f be g(s). Calculate the greatest common divisor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27\/81)\/(((-2010)\/1072)\/(6\/(-8))*2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 445*g**4 + 1688 wrt g.\nAnswer: 1780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 + -8. Let b = -9 + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29634.74868 to zero decimal places.\nAnswer: 29635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.051741 - 36872?\nAnswer: -36872.051741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.11 + 1.4. Let p = y - -0.01. Let c = -0.6 - -1.6. What is the nearest to c in p, 2, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**3 + 101*k**2 + 13*k - 1851. Give z(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -18*((-8)\/(-6) + -2). Suppose 425 = -7*w + c*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*c**2 - 5*c + 5*c)*(21 + 32*c - 94*c - 21) to d*c + u + y*c**2 + p*c**3 and give p.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 1)*(-38*l - 29*l**2 + 22*l + 15*l).\nAnswer: 87*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**34*f\/(f\/(f\/(f**(-2\/59)*f))*f*f*f))**(-4))**(-47) assuming f is positive.\nAnswer: f**(344228\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1428993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) + -1)**2*6*5 + (sqrt(12) + 2 + sqrt(12) - (sqrt(3)*-3 + 0)**2).\nAnswer: -416*sqrt(3) + 4415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -0.1, -4, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**4\/5 + 20476*s**3\/5 - 328046*s**2\/5 + 840776*s\/5 - 533208\/5 = 0.\nAnswer: -10254, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61162820 is divided by 1893?\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 2171*q - 99 = 2174*q, -2*m + 5896 = -98*q - 92*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-3)*(301 + -304)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -326617.233 - -100975.\nAnswer: -225642.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 23003468731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z = 28*z + 4. Let o be z\/(-5)*(-11 - -1) + 118. What is the highest common factor of 76 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*c = -18*c - 5. Suppose -3*m + 11 = -5*i, 0*i - m = i - c. Is i\/(1*(0 - 1\/22)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -650 + 665. Suppose 3*d - u = 0, 0 = -m + 11*d - 13*d + 549. Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129 + 5*k + 137 + 3*k - 266.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 12 = -2*x, -8 = 2*x - 2*g - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -2 + (-18288)\/6642 - 196\/882\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d - 15. Let q be x(17). Let s be q\/13 + 163\/39 + -3. Let j = -1.6 - -1. Which is the second smallest value?  (a) -0.5  (b) s  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19140 and 396?\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -6480*n**3 - 1257*n**2 - 5*n + 10. Let b(g) = 6483*g**3 + 1250*g**2 + 6*g - 12. Let c(u) = 5*b(u) + 6*v(u). Find the third derivative of c(l) wrt l.\nAnswer: -38790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-42)\/(-7) - 7)*3 - 274572. Suppose 3*x + x = 981700. Let a = x - p. Round a to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -153 - -97. Let i be q\/(-21) - 4\/6. Is 15 a factor of -19*(i*-2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/11)\/(b*b\/(b\/b**13)))**(-40)\/(b**(1\/10)*b*b*b**(-4)*b*(b**(-2\/3))**(12\/5)) assuming b is positive.\nAnswer: b**(12455\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 171 - 2?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of v**4\/4 - v**3\/3 - 3*v**2\/2 + 2*v - 2. Let x = 3 - 1. Calculate u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*((-64)\/(-40)*-5 - -7). Let l = -3 - -5. Let m(r) = r**2 + 3*r**2 - 8*r**3 - 2*r**l - r. Give m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2508*x + 4723*x + 1559*x)*(2*x**2 - 2*x**2 - x**3).\nAnswer: -8790*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 1. Let n(x) = x**3 + x**2 - 27*x + 23. Let m be n(-6). What is o(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*b + 66 - 66 + (0 + 0 - 2*b)*(0 + 0 + 2)*(3 - 1 - 3))*(3 + 4 - 5).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 + -21. Suppose 4516*t - 4505*t - 13 = 64. Solve t = -3*y - 3*a - 5, -3*y - 10 = x*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1357403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -7 + a + 4*a - 3*a - 3*a. Let i = -72 - -66. Calculate u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((440\/99)\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -46, 1, 309 in ascending order.\nAnswer: -46, 1, 3, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000884322 to 7 dps.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*(1 + 40\/(-36)). Which is the nearest to 1?  (a) t  (b) -2\/11  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -507 - 81?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/7  (b) -0.2  (c) 2\/7  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -53 + 55. Let u = -0.2 + -0.3. What is the biggest value in 0.3, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - h**2 - 3*h + 3. Let m be (-16)\/40*((1 - 60) + -1). Let i be (-8)\/20 - m\/(-10). Let x be u(i). Solve 16 + x = n - 4*c, 3*c + 6 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -0.03259.\nAnswer: -0.03259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**3 - 26*g - 34. Calculate b(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2454.3 and 1854533.\nAnswer: 1856987.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*x = 112*x + 448*x - 5954 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/684236 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + (sqrt(1331) + sqrt(1331)*-2*-3 + sqrt(1331) - (1 + sqrt(1331) + -5))**2 + 3).\nAnswer: -195711 - 1848*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151476 - 153219 = 83*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express v + 82*v**4 + 2*v**2 - 88*v**4 + 3*v in the form s*v**2 + u + b*v + j*v**4 + z*v**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y**2 - 2*y - 2*y**3 + 1 - 1 + y**4 + y**2 to h*y**2 + z*y**3 + s*y**4 + m + x*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 + 9*o - 15. Let v be f(6). Suppose -v = j - 4*j, 4*j + 797 = g. Is g + (48\/(-40))\/((-3)\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1476 and -0.69.\nAnswer: 1018.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 154820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 23, 1, -2\/17, -4\/7 in decreasing order.\nAnswer: 23, 1, 2\/7, -2\/17, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 15413.22mg in tonnes?\nAnswer: 0.00001541322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2356*c - 35872. Determine j(-15).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00055 take away 66560090?\nAnswer: -66560090.00055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 38 + 44 = 0. Suppose w - f + 31 = 5*v, 0 = -5*v + 3*w + 37. Solve 4*y + v = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 10 = -2*s, 0 = -s - 5*i + 253 - 268 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from veveqeseveqqqeevqv. What is prob of picking 1 s, 2 q, and 1 v?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 88 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*c - 114*c + 30 = 0. Suppose -4*d + 3138 = 73*z - 71*z, -3*d - c*z = -2343. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22.220105 - 2.220635. Let a = x - 20. Round a to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeo when three letters picked without replacement from ooeeeoo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2 - 8 + 8 + 3*u - u**2.\nAnswer: -(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10 + 20 + 1326\/(-70) + 192\/21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 956275951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 19*w - 15*w - 2, 18 = -b - 6*w for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1641.15835628 from 16.\nAnswer: 1657.15835628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -383 + 385. Let o be (-98)\/546 + 3*g\/18. Put o, -0.2, -1\/7, -0.02 in descending order.\nAnswer: o, -0.02, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**3\/3 - 3*g. Calculate the remainder when 23 is divided by l(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/40 and 4 + (-178)\/4*(-6)\/(-60).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/100 and -27\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(42)\/sqrt(6)*3 - sqrt(56)\/(sqrt(72) - sqrt(8))) + (5 + 1 + sqrt(7) + (sqrt(448) - (1 + sqrt(448))))*1)**2.\nAnswer: 42*sqrt(7) + 487\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - p + 22, 0 = 3*r + p + 3*p - 64. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 3*g - 4530, -5*s - 13*g + 5665 = -8*g. What is the highest common factor of 348 and s?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 13*y - 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(17) + (sqrt(1377) - -1*sqrt(1377)))**2.\nAnswer: 38*sqrt(17) + 6138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + g**2 - g - 1. Let o be f(2). Suppose -4*h + 63 = 11. Let r = h - o. Solve 5*n - 3*p = -9, p = 3*n - r*p - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 132 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of -l**2 - 2*l - 5. Suppose 2*t = -0*t + 2. Let u(c) = 1. Calculate t*n(q) + 4*u(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 279 or 281?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 358565647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, k: 2, x: 3, h: 1, z: 1}. Give prob of sequence zkk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -128, -1015, -3416, -8087, -15784, -27263?\nAnswer: -43280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -4\/3, 0.2, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 128 and 352?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + n + 5*k = -135, -n = 4*k + 36. Find the common denominator of 282\/(-336) + 3\/((-42)\/4) and 286\/n - (-3 - (5 + -5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 78895 or 78934?\nAnswer: 78934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -12664843 times -1\nAnswer: 12664843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/3*(1116\/1240)\/((-6)\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3842?\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -123, 2, 1, 4 in ascending order.\nAnswer: -123, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25d14 (base 16) to base 5.\nAnswer: 14424100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - (7 + 1 + -33 + 95)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -966 + 431 + 535 + 20811*w to b + f*w and give f.\nAnswer: 20811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -6) + (0 - 2). Let b(i) = i**2 - 8*i + 9. Let w be b(7). Suppose g - w - d = -u, -26 = -u + 4*g. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -225.499 + 238.68. Let l = r - 0.281. Let s = 14 - l. What is s rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 14*h = 48. Let u = h - -63. Suppose 4*i - 37 = u. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 9*v + 2*u + 10 = 0, 2*v + 10 = -3*u. Let m be ((-5)\/5 + v)\/(-2). Solve -5*q - 41 = -4*t, t + 2*q + m*q = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86142 - 86145 + 7*y**2 - 86146 + 33*y**2 + 258433.\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*v**3 + 0*v**3 + 9*v**3.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**2 + 10*a + 1. Suppose -c - 2 = -5. Calculate the smallest common multiple of k(-4) and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/37?  (a) -5  (b) 47  (c) 5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 15*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -19*n**2 + 155*n - 18. Let w be r(8). Let f(c) be the first derivative of 3\/2*c**2 - w*c + 3*c**3 - 17 - 3\/5*c**5 - 3\/4*c**4. Factor f(l).\nAnswer: -3*(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, h: 1, n: 4, t: 1, s: 1}. What is prob of sequence sn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3078 by 162.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2443 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -1. Let k(j) = 2*j + 2. Let s(t) = -8*f(t) - k(t). Let h be s(2). Suppose -5*z = -4*u + h*u + 68, -132 = -5*u + 3*z. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q**2 - 1128 - 5*q**2 + 563 + 565.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**3 + 16*g**2 - g + 5. Let t be v(8). Put t, 2, -176 in descending order.\nAnswer: 2, t, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-465)\/(-780) + 3\/(-4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -7*q**3 + 52*q**2 + 19*q + 167. Is l(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13192790 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*g + 2*g + g)*(-6 + 18 - 5)*(-2*g**3 - 5*g**3 + 5*g**3) as k + v*g**3 + b*g**2 + m*g**4 + x*g and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4932518761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 + d**2 - 5*d**3 - 10*d**3)*(3*d**2 - 1 + 1).\nAnswer: -45*d**5 - 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -9744386855870 and -0.5.\nAnswer: -9744386855870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.46231 to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of -t**7\/840 - 7*t**4\/6 - 47*t. Let o(k) be the third derivative of y(k). Let a(i) = 13*i**2. Calculate o(a(s)).\nAnswer: -507*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.343, 22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1815.2797 + 0.2797. Let s = -1810 - z. Let j = 8 + -5. Which is the fourth smallest value?  (a) j  (b) s  (c) -0.5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*o + 6 = 27*o + 4*u, -5*u - 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 381, 4, -0.1, -6, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/55 - 4\/(-3 + 412\/152). Let g = 0.18 - 0.29. Which is the second smallest value?  (a) -0.1  (b) v  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -104 - -106. Let h be 6\/8*(8 - 10). Which is the fourth smallest value?  (a) n  (b) 4  (c) -1  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 7*k**2 - 15*k - 10. Let v be a(-4). Suppose v*l - 6*r + 4*r = 754, 4*r = -l + 392. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 5*a - 35, 0 = -m - 1 - 2. Suppose 2*g - 18 = -3*v, 0*v = -2*v + 2*g + 22. Calculate the remainder when v is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/553 + -314\/553. Let s = 0.25 - 0.22. Which is the biggest value?  (a) -3  (b) s  (c) 0.3  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9574 + 9582. What is the remainder when 14191 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.336636mm to meters.\nAnswer: 0.009336636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 14*p - 1. Let h(i) be the first derivative of -i**2 + 225. Determine s(h(l)).\nAnswer: -28*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2 + 4. Calculate the common denominator of ((-1)\/(-1))\/((-24)\/y) and 19\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -31752931?\nAnswer: -4\/31752931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -11*d. Suppose 10 = -17*t + 22*t. Let x(o) = 2*o**t + 0*o**2 + 0*o**2. Determine x(w(g)).\nAnswer: 242*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of 5*p**3\/3 - 2*p**2 + 2*p. What is the derivative of z(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13521375, 13521371, 13521369, 13521369, 13521371, 13521375?\nAnswer: 13521381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -901*f + 7550. Does 10 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -153 + -52. Let n = v + 626. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 2*t = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -36751.64313 rounded to the nearest 10?\nAnswer: -36750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 322121  (b) 0.5  (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*n**2 + 14*n**2 - 7*n**2 + 13*n**2 - 3*n - 6*n**2 + 3*n + (-4 + 2 + 1)*(0*n**2 - n**2 + 2*n**2) as f*n + y*n**2 + p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u**2 + 4*u + 7. Let f = 89 - 86. Let q(a) = a + 2*a + 6 - 3*a**2 + 0*a. Let b(c) = f*n(c) - 4*q(c). What is the first derivative of b(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -45068*n. Let a(k) = 2*k. Calculate a(f(p)).\nAnswer: -90136*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -23d084 (base 14) to base 4\nAnswer: -10223132330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -61153 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 58.59 - 55.59. Let t be 195*2\/(-8)*-1. Let n = 48 - t. Which is the smallest value?  (a) x  (b) 0  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -88. Let o = m - 28. Let d be 2 - 2\/1 - -5. Solve 4*c + 3*n + 15 = 0, -c - o + 19 = d*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 19*g**2 + 8*g + 8. Let f(b) = -7*b**2 - 3*b - 3. Let n(l) = 8*f(l) + 3*s(l). Let a(c) = -6*c**2 + c - 21. Determine a(n(h)).\nAnswer: -6*h**4 + h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + 10*g + 2. Let m be v(-10). Suppose 5*q - m = 8. Solve q = -2*i - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 156 + -153 - (0 - (1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(7\/(-42)*(-18)\/12)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1764.02076 + 1764. What is f rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence enh when three letters picked without replacement from echhhcchhlnzhclhhccc.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3499557, -3499561, -3499567, -3499575, -3499585, -3499597, -3499611?\n\"Answer: -l**2 - l - 3499555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g**3\/2 + 1272*g**2 - 5079*g\/2 + 1269 = 0. What is g?\nAnswer: 1, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -33a30 + -48?\nAnswer: -33a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*v + 57*v + 553 - 3853 + 34 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3 - 84*w**2 - 2*w**3 + 98*w**2 + 7. Does 3 divide z(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(-3*b + 4 - 4 - 4*b + 4*b + b - 4*b + 0*b + 2*b + (-b + 2*b - 3*b)*(-2 - 1 + 1) - 4*b + 0*b + 3*b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 1128*i + 21407. Give d(-19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + -2 + 5 + 2075. Let h = j + 10813. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18704.463 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*p = 34, 4*r + 38 = -5*p - 34. Let u(x) = x**2 + 8*x - 5. What is the remainder when u(r) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 842460 is divided by 2449.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5274 + 0.0274. Which is the smallest value?  (a) 3  (b) -8  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4367269 is divided by 211.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -86*j + 675. Calculate z(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -249 = -d + 4*d. Let s = d - -157. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + g**2 + 0)*(-2*g + 6*g - 3*g) - 3*g**3 + 0*g**3 + g**3 - 7 + 7 - 7*g**3 + 6*g**3 - 4*g**3 + 5*g**3 - 1 + g**3 + 0 - 2*g**3.\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - 0 - 1) + (-11382 - -11389)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1922, 1920, 1918, 1916, 1914?\n\"Answer: -2*p + 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 1.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2.09 times -9.61\nAnswer: 20.0849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**3 - 5*d**2 + 18*d - 18. Suppose 2*y + y = -z + 117, 0 = 5*z - y - 585. What is the remainder when z is divided by j(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 7:05 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 2, 2*q - 5*q + 7 = 2*l. Let x(b) = 7. Let v(y) = 1. Let t(n) = -6*v(n) + x(n). Let u(r) = r**2 - 2*r - 7. Give l*t(k) + u(k).\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1277829, -1277828, -1277827, -1277826, -1277825?\nAnswer: -1277824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.01 + -2.01. Let o be 3 - (48\/9)\/2. Let w = 2.7 - -0.3. What is the biggest value in o, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1*(28\/(-70))\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -7*b + 12. Let w = 0 - 0. Put 2, w, b in decreasing order.\nAnswer: 2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fliflv. What is prob of sequence vf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 14, n: 2, g: 2, b: 1}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 29. Let s(f) = -884*f - 638. Let w(n) = 22*b(n) + 2*s(n). What is the first derivative of w(o) wrt o?\nAnswer: -1790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -112 - -591\/5. Let t = -22 + 27. Suppose -4*v + 1 = -v - t*o, -8 = -4*v + 5*o. Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*h - 118048 + 20*h + 118008 as u + i*h and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 16*g**3 + 148*g + 7. Let c(b) = 5*b**3 + 49*b + 2. What is 7*c(j) - 2*u(j)?\nAnswer: 3*j**3 + 47*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a factor of 41760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = q - 119523, -4*n + 310912 = q + 71863. List the prime factors of n.\nAnswer: 3, 11, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 4) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y - 44*y - 616 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 6.6*0.845\nAnswer: 5.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 1:53 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*m**2*r*u*x + 32*m**2*r + 40*m**2*u*x - m*r*x - 3*m*u*x + 2 wrt r?\nAnswer: 2*m**2*u*x + 32*m**2 - m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 76 = 2*r. Let f = r + 26. Put 3, f, 5 in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 5501780107584.\nAnswer: -5501780107583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.7 and 4725.\nAnswer: -8032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0*f = 12. Suppose -5 = -r - f. Suppose -r*t + 4*t = 0. Solve -o - o - 10 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {i: 1, b: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z - 10*z + 7*z + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2200396759?\nAnswer: 11, 239, 836971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r**2 - 18*r - 39. Let t be k(-2). Let v(c) = -c**3 - 14*c**2 + 13*c - 25. What is the smallest common multiple of 5 and v(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-84)\/(-161))\/(1986\/68517)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 646240.\nAnswer: 2, 5, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 - -1) + 77 - 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of 4*m**2 + 20*m - 410. Calculate a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2883 - -11.5887. What is w rounded to one decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -11398*r**2 - 205158*r + 104. Give s(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 13*l**2 - 5*l + 2. Let z be x(-13). Suppose -3*p + 96 = a, 4*p - z - 61 = -4*a. Calculate the smallest common multiple of p and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 69012482.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 0 - 5\/(-5). Factor 2*r**5 + b*r**4 + 4*r**4 - 4*r**4.\nAnswer: 2*r**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m**3*r**2 - 102*m**3*r - 6*m**3 - 16*m**2*r**2 + m**2 + 2*m - 4*r**2 wrt m.\nAnswer: 12*r**2 - 612*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 6, y + 2*s + s = -4. Let p(r) = r**2 + r - 5. What is the units digit of p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284123423 to the power of 1\/2, to the nearest integer?\nAnswer: 16856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 109*p**2 + 25*p + 2717. Calculate z(-109).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 532 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 11:15 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggggggbggbgggggggg. Give prob of sequence ggbg.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2835487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39959 + 2717293\/68. Calculate the common denominator of i and 91\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 252.936416 and -0.16.\nAnswer: 252.776416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s - 3*s + 2*s + (-2*s - s + 0*s)*(7 - 8 + 3).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 30 + 369594\nAnswer: 369624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxrr when four letters picked without replacement from rrxrxrxrxx?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(325)*1 + sqrt(325))**2 - (3 + sqrt(325))**2*5)*-1 + -5.\nAnswer: 364 + 170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 622 = -3*o - o, 5*l = -o + 1500. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 52*v**2 + 105*v - 668. What are the prime factors of g(6)?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*3\/198*(-14832)\/412?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 15056034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(175) + 1 - 6*sqrt(175)*-3.\nAnswer: 1 + 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 8 - 401*b - 292*b + 687*b - 3446*b as w + y*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, n: 3, b: 3, l: 2}. Give prob of sequence wl.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 3:55 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 8277112, 8277153, 8277194, 8277235?\n\"Answer: 41*n + 8277071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6011183 - -2701183. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(-3))\/(27\/81).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285114583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1841 (base 15) to base 4\nAnswer: -1101310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -23366 at most -23365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/73998 and -36\/4111.\nAnswer: 73998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - q = 8*r - 8, 0 = -2*r + q + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 1201*y**3\/3 - 2*y**2 - 4*y + 20. Is i(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 2*u**2 + u + 3. Let q(m) = -8*m**2 + m + 10. Let z(l) = -q(l) + y(l). Let f = -6 - 0. Give z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2166 and 33.\nAnswer: 23826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 22 = 2*o, 3380*o = 3379*o - 2*u - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -904*w - 41088 = 749*w - 1332*w for w.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1020339?\nAnswer: 3, 113371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 413772797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 8433041467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -20250948 divided by -3?\nAnswer: 6750316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hkykkyyhhhhhhyhkyhyh. What is prob of sequence yyyk?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/3)\/((t**6*t)\/t))**(-35)*(t*t**(2\/5)*t\/t**(-2\/11))**(-3\/8) assuming t is positive.\nAnswer: t**(122561\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 51350272597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**3 - r**2 + r. Let p be a(1). Suppose 0 = c + 2*w + 6, 2*c = -p*c + 3*w + 20. What is the second derivative of -4 + 4 + 4*o**c + 0 - o wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707992357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-7) - 10\/35. Let m(f) be the third derivative of f**5\/60 - 7*f**4\/8 + 17*f**3\/2 - 25*f**2. Let k be m(18). Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 694 + -734. Let q = 814 + r. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2*0\/(-1). Suppose p = d - 6. Let h = -2 + d. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 10*k - 42. Let c(r) = -r**3 + 6*r**2 - 7*r + 6. Suppose -2*a + 3*x = 1, 2*x - 5 = -a + 5. Calculate the lowest common multiple of k and c(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/(-20))\/(11\/5). Put -3, 0.1, c in descending order.\nAnswer: 0.1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 0*j**2 + 0*j**2 + 5*j**2. Let p be (-1)\/((6\/15)\/2). Let w(g) = 2*g - 6. Let i(c) = 2*c - 5. Let l(q) = p*w(q) + 6*i(q). Give x(l(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-295 + 7*m - 9*m + 1799)*(-m**2 + m**2 - m**3).\nAnswer: 2*m**4 - 1504*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 + 0*r**2 - 911*r + r**2 - 148*r.\nAnswer: -2*r**2 - 1059*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from xnlllxlnnlnx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -4, 0.04, -85, 1\/10, 4\/5, -1\/17, -0.4?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xeze when four letters picked without replacement from eeccxxxzezxxecxxxx?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94529220 + 94529220 - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express x - x - x + 5*x - x - 5*x + (-1 + 2 + 1)*(2*x + 1 - 1) + (-91 - 27 + 30)*(0*x - 3*x + 0*x) as o + a*x and give a.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -119.2 and 0.06?\nAnswer: -7.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 915147?\nAnswer: 3, 23, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -3*m + m + 48, -m + 3*b = -27. Let j be (-3050)\/(-61)*2\/4 + (2 - 4). Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7\/5  (b) 5707  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 11\/8  (b) 0.4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12452153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -10 - (-8 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -aa (base 16) to base 6.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2439 - 2437. Sort -38, -0.4, 5, i, -2 in descending order.\nAnswer: 5, i, -0.4, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -18*p**3 - 24*p**2 + 10. Let o(w) = -6*w**3 - 8*w**2 + 3. Let g(a) = 3*f(a) - 10*o(a). Find the third derivative of g(t) wrt t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4*o = -9 - 19, j = -3*o + 9. Let i = 5 + -2. Suppose -i*u = -u. Solve u*n - 2*n = j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.07 + -3.93. Let j = 13891.5 + -13891. Put j, u, -3, -0.4 in decreasing order.\nAnswer: j, -0.4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 1034088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a**3 + 4*a**2 + a - 1. What is o(-3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17101)\/(-3) - 82\/(-123) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*o - 231*o - 152 + 260 = -1194 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*l - 16*l - 87*l - l as z + d*l and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 163 times 1244?\nAnswer: 202772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 5*c**3 + 2417*c**2 - 3886*c - 2906. Give d(-485).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 18*i - 30. Let p be 4\/(-6) + 41\/3. What are the prime factors of l(p)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*y - 5*y - 2*y**2 + 2*y**2 - 2*y + 2*y + y**2 - y**2 - y**2 + (-2 + 2 + 2*y)*(2*y - y - 3*y) + 0*y**2 + y**2 + 0*y**2 - 63 - 2*y**2 + 63.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9566425 years in months?\nAnswer: 11.47971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 - 16. Let c = g - 21. Let o = c - -13. Solve o*k + 3*k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d - 5. Let m be i(-3). Let z be ((-10)\/(-4))\/((-1)\/m). Suppose z*t - t = 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of 290*o**3\/3 + 2*o**2 + 3*o + 15. Let a be p(-1). Suppose -a - 394 = -q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (395 - 392) + (1 + -7 - 0). Which is the third smallest value?  (a) j  (b) 0.6  (c) 5  (d) -1\/4  (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-6)\/(-21))\/(((-72)\/(-336))\/(18\/(-1548)))?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i - 3. Let m be p(-4). Let z = 6 - m. Let g = z + -5. Solve -2*w + 1 - 5 = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (119\/(-136))\/((-28)\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-46)\/(-6) + 68\/(-102). Let n(o) = -o**3 + 8*o**2 - 5*o + 10. What is n(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 3*z**2 - 5*z + 6. Let c be r(4). Let t be c\/5 - 54\/10. Let l be t\/(10\/(-4))*2. Solve l*f + 4*g = -12, f - 2 = 4*g + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*f + 3*n = -1, f - 5*n - 17 = 0. Suppose 4*a = -a + 4*z + 6, -3*a + f*z = -4. Solve -t + a*t = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 504499898 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 84760765?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 10:39 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176\/10 - ((-7007)\/455 + 17).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/(-3*6\/180)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2628 and 70664.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14187*f - 10118 = 673*f + 293481 + 642381 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 7\/3. Let u = -3 + -2. Let o = -0.1 + -2.9. What is the second biggest value in o, g, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*((-7)\/(-8))\/((-69)\/(-92))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3114240 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -16, -1, -2, -7 in increasing order.\nAnswer: -16, -7, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1167 a factor of 3331904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/81 and 28\/45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times -0.5\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-6)*(-1 + 4). Let l(q) = q**3 + 30*q**2 + 4*q - 34*q**w - 2*q - 4. Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 378 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.023*4\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7593013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - h**2 + 7*h + 6. Let o be a(-3). Suppose 6 = o*x - 6, -2*x = 4*q - 168. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - 2*r**2 + r**2 + (2*r + 4*r - 4*r)*(-4*r + r + 5*r) - 15*r + 15*r - 5*r**2)*(20*r**2 + 173 - 173).\nAnswer: -80*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70972.\nAnswer: 2, 11, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o - 14. Let s be 3 - (0 - (-7 + -3)). Let y be x(s). Let k(m) = 4*m**2 + 4*m + y + 0 - 5*m**2. Give k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, v: 2, c: 2, d: 1}. Give prob of picking 2 v and 2 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7563 - 4012. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 2286 = 3*f + 2297, 7*q + 23 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/1566 and -47\/198.\nAnswer: 17226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -55, -79, -103, -127?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + (1 - -1) + 1 + 4 - -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 45*-87711\nAnswer: -3946995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-18)\/(-8) + 3\/(-2) + 15\/12. Let y(z) be the first derivative of -1\/3*z**3 + 0*z - 35\/2*z**b + 2. Let o(k) = -k**2. What is y(o(x))?\nAnswer: -x**4 + 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**2 + 28*m + 32. Let y be s(15). Suppose -y*n + 8 = 20. Let l(a) = 5*a + 9. Give l(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*k**4 + 4*k**4 - 7*k**3 - k**2 - k + k**2 to the form j*k**4 + m*k + v + o*k**2 + y*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 1121, 4, 0.4, 1 in decreasing order.\nAnswer: 1121, 5, 4, 1, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 24 = 2*u. Let m be u\/(-12) + (-2)\/3. Solve -4*x - 3 = -5*v - m*v, -x + 1 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4 + 52*t**3 + 138*t**2.\nAnswer: 2*t**2*(t + 3)*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.5 + 5. Let s = 2.2 - x. Let m = -49 - -443\/9. Which is the biggest value?  (a) m  (b) -0.07  (c) -5  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1065*f = 1060*f + j - 31, 4*f + 20 = 2*j for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 - 16*n + 17. Does 12 divide j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255041 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 AM and 1:01 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/10 and -21\/41?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258508*r - 6930 = 258013*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 72231, 71966, 71537, 70944?\nAnswer: 70187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10101142.\nAnswer: 2, 5050571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55*m - 453*m**2 + 162*m**3 + 229*m**2 + 224*m**2 wrt m?\nAnswer: 972*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 1:57 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3 + sqrt(21)\/sqrt(3))**2.\nAnswer: -6*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-14) - (-240)\/42. Solve -4*c + y*c = -10, 4*q - 4*c = 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f**2 + 0*f**2 + 0*f**2. Suppose -302 = -4*i - 3*d, 2*i - 44*d - 144 = -49*d. Let v(u) = 79*u + 2*u**2 + 70*u - 226*u + i*u. What is j(v(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15.46164 from 0.014937.\nAnswer: -15.446703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, v: 2, o: 5, s: 7}. Give prob of picking 2 s.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k = s - 7*k - 13, 0 = 4*k - 12. What is the derivative of -35*n**3 + 35*n**3 - s - 18*n**4 wrt n?\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2 + 316*k - 1328.\nAnswer: 4*(k - 4)*(k + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*q**4 - 1881*q**2 + q - 70644 wrt q.\nAnswer: 24*q**3 - 3762*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3290 and 2151284.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/40 and 11\/344.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (15\/3 + 1)*8\/4. Let r be 1*30*(-5)\/(15\/(-6)). Calculate the greatest common factor of j and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7927*v - 9743*v - 170704 for v.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 477 and 78608752.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 54284980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5551.485ml?\nAnswer: 5.551485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 45 + 4223118?\nAnswer: 4223164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -5, 2\/7, 5, -29.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*s - 120*s + 2*s**2 - 3*s**2 + 0*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 19 + (-728)\/39 - 404\/(-3). What is the highest common factor of g and 6255?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 692 a factor of 739561160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11.83 + -2.38. What is h rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**2 - 30*o - 384. Is 12 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 17\/32  (b) -1025\/7  (c) 1\/2  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1166558 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.95 * 2.07\nAnswer: -1.9665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3555*k - 42668. Give a(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3096?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2. Let x(w) = -59 + w + 9*w + 0*w + 4*w**2 - 10*w. Determine x(l(d)).\nAnswer: 4*d**4 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 12\/9*((-36)\/6 - -15)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12998*a + 47673 + 388803 = -18454 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -942*a + 865*a - 693 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19641611 and -0.7?\nAnswer: -13749127.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 14*k + k**2 + 0*k**2 - k. Let j(v) = -6 + 1 - 1 + 161*v - 159*v + 6. What is t(j(q))?\nAnswer: 4*q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*n - 5*d + 64, -n + 31 = 4*d. Let r(a) = -22 + 3*a + 16 + 19. What is the smallest common multiple of r(-4) and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1061549)\/(-57) + 8\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - a - 2*a)*(5 + 5 - 4)*(-a - 9*a - 2*a)*(a**2 + 0*a**2 - 3*a**2).\nAnswer: -288*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 1\/3  (b) 3\/2  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4245, -4230, -4205, -4170, -4125, -4070, -4005?\nAnswer: -3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 7*o**2\/5 - 1092482*o\/5 - 2184992\/5 = 0?\nAnswer: -2, 1092496\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 PM and 8:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18775115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 31. Suppose c = 3*g - 22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 34*o + 8944 = 0. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36980 is divided by 6142?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + ((sqrt(2430) + (sqrt(2430) - (sqrt(2430) + sqrt(2430)*-2)) + sqrt(2430))\/((sqrt(36) + sqrt(36) + sqrt(36)*-1)\/sqrt(6)))**2).\nAnswer: -19437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38 - 22. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q - 85 = 10*q. Calculate the lowest common multiple of (1\/(-6) + q\/(-34))*-9 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 16*q**2 + 10*q - 18. Let z = 35 - 50. What is the tens digit of y(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r - 3. Let h be n(-5). Let l = 201\/17 + 2089\/85. Let k = l - 179\/5. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 10  (c) 0  (d) 129  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/7)\/(2\/(-28)). Suppose -6*g + 41*g - 137 - 3 = 0. Solve g*j + 4*l - 28 = 0, -3*j - 5*l + 37 = d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) 1  (c) 289  (d) -1\/6  (e) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 610 - 595. Calculate the highest common factor of 30 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*l*o**3 - 92906*l*o + 89*l - 60*o**3 - 798703 with respect to l.\nAnswer: 3*o**3 - 92906*o + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 39438 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/9, 33, 0.4, -68.639?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -q + 17, 3 - 15 = -4*q + 2*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2643 and -319.726.\nAnswer: -2962.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12  (b) 2  (c) 3  (d) -1.1  (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -7. Suppose -4*k + 423988 = 3*r, -5*k - m*r + 214231 + 315761 = 0. Round k to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -5. Let t(x) = 1 - 6*x - 5*x**2 - 3 + a. Let m(u) = -9*u**2 - 11*u + 4. Give 4*m(o) - 7*t(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2339 is divided by 422?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 460\/75*11\/(-8). Let l = 22\/3 + p. What is the common denominator of l and 53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21055, 44529, 68003, 91477, 114951, 138425?\nAnswer: 161899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1100111 (base 2) to base 10\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 15*s**2 - 13*s + 1. Let o(u) = -32*u**2 + 27*u. Let a(q) = 9*i(q) + 4*o(q). Let b(z) = -9*z**2 + 9*z - 8. Let m(k) = 5*a(k) + 4*b(k). What is m(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27 and 2534391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 67 = -67 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25.98, 512, -4 in ascending order.\nAnswer: -4, 25.98, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 43 + 2. Suppose 54*w = 57*w + t. Let j(l) = -2*l**2 - l + 1. What is j(w)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 248 in -5, 13\/4, 2\/3, -12\/11?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwzwzzwwwzzzzz. Give prob of picking 1 z and 2 w.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 113 - 111. Let k be ((-11)\/((-22)\/4))\/(n\/(-113)). Let g = k - -115. Solve -s + 6 = -0*o - 5*o, -2*s - g*o = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - -2)*(-20)\/(-450)*-5. Which is the closest to u?  (a) 27  (b) 2\/13  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -7*t**2 + 452*t. Let a(g) = 8*g**2 - 456*g. What is -4*a(d) - 5*z(d)?\nAnswer: 3*d**2 - 436*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**5 + 10*n**3 - 5*n.\nAnswer: -5*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542563 is divided by 345.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q\/(q*q*q*q*q**(-5))*q))\/q*q*q*q*q*q*q\/q**(-13\/2)*q assuming q is positive.\nAnswer: q**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 9) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 30 = -71. Calculate the remainder when c is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36216 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5853892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 17012836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/988 and 11 - (3846\/132 - 14).\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 + 24. Is 21 a factor of 21\/(-1*(-3)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 869388889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2 - 20*u + 150. What is the lowest common multiple of 6 and l(6)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 119 + -344. Let i = x - -223. Sort i, -7, 13 in decreasing order.\nAnswer: 13, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4429*a**6 - 3*a**5 + 4*a**4 - 64978*a**2.\nAnswer: -531480*a**3 - 180*a**2 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4348512 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5143 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2691*i**2*z - 3*i*z - 354*i + 2 wrt i.\nAnswer: 5382*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 2*b**2 + 6*b - 6. Let v be k(3). Calculate the greatest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**4 - 570*o**3 + 27627*o**2 - 51324*o - 79524.\nAnswer: 3*(o - 94)**2*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + sqrt(1377)*-1*3))**2.\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -977\/5 + 196. Let m = 2 + -1.5. Let n = -0.1 + -0.2. What is the closest to x in m, -5, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4662 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102 + 221?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -778 + 780. Solve -m*k = 7 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7258*c - 7301*c = 86 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 3*p**2 - 2. Let n be q(2). Let v be (-2)\/(n - (-24)\/(-10)). Let o = -28545 + 28545. Which is the closest to o?  (a) 0.4  (b) 2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + (0 - (-64 + 88))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 874, 24\/7, -1?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 8*p - 13*p + 15, -3*a + 3*p + 9 = 0. What is the fourth biggest value in -0.7, -0.06, 2\/27, a?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 2*i**2 + 5*i + 3. Calculate y(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1655\/6 - 503\/2. What is the common denominator of -23\/11 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2935 + 2226*s**3 - 2935 - 2221*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 4*g = 29 - 1, g = -2*a - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -700  (b) -6  (c) 28  (d) -2\/15  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 347 a factor of 47134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5347*t**3 - 12*t - 2659*t**3 - 2648*t**3 + (2*t + 2*t - 5*t)*(5*t - 5*t + t**2) + 3*t**3 - 3*t**3 - 2*t**3.\nAnswer: 37*t**3 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -13*w**2. Let a(b) = 16*b - 109. What is a(s(k))?\nAnswer: -208*k**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -18597.\nAnswer: -55791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 85 = -3*d + 14, -15 = d - 3*b. Let l(u) = 2*u**2 + 24*u + 12. Let t be l(d). Let g = 1745 - t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 2. Let q(v) be the second derivative of -19*v + 0*v**3 - 1\/12*v**4 + 0 - 1\/2*v**2. Calculate q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (1 + 2 + (-33 - -24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -5, -19 in decreasing order.\nAnswer: 7, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 129080000 to the nearest one million.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -45.5 - -19263481393?\nAnswer: 19263481347.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6529 by -13984.\nAnswer: -6529\/13984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22837 by -557.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 AM and 3:31 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 842, 1628, 2360, 3038?\nAnswer: 3662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48 + 104. Let c be (-4)\/i*46 + -1 + 4. What is the nearest to 2 in -4, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 4*w. Suppose w = 9*s - 36. Solve 0 = -4*a + 4*p + 16, -a + 2*p + s = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 421*t - 36630.\nAnswer: (t - 495)*(t + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/(sqrt(90)\/sqrt(90)) - -1*(2 + sqrt(3))*2)*6.\nAnswer: 24 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4449144.\nAnswer: 2, 3, 7, 71, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*l - 11*l - 4*n - 17, -76 = -2*l - 6*n. Solve l*z = 18*z + 55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 1, 9.\nAnswer: -5, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p + 0 - 2*p + 1 - 3 - p + 3 + 4*p - 3*p - 2*p + (-1 - 4 + 4)*(-2*p + 6*p - 3*p) - 1 - 2*p + 1 + 6*p - 2*p - 3*p + p + 5*p - 5*p.\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -2, -2\/7, -0.9, -3\/5, -1476?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 907 = -c. What are the prime factors of c?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, t: 4, s: 3, j: 2}. Give prob of sequence st.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6697047 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/10  (b) 2\/45  (c) -5  (d) -1  (e) 2\/11  (f) 7.7  (g) -4\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.12 to one dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30 + -17. Let r = c + -8. Suppose 68 = 4*k + 2*p, -r*k + 3*p - 7*p = -85. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 + 5*a + 6. Let w = -5 - -11. Let d be ((-10)\/w)\/1*-3. Determine v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(-9\/4) assuming i is positive.\nAnswer: i**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**3 + 7*b**2. Suppose 4*o = -0*o + 16. Let k(c) = c**3 - 3*c**2. Give o*t(m) + 9*k(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 506 - 359. Suppose -d*n - 20 = -152*n. Suppose -4*w + 3*i = -52, -2*w = i + 3*i - 26. Solve 0 = -4*j + c - n*c + w, 4 = -4*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1497600 by 99840.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -2\/21*a**3 - 1\/140*a**6 + 0 + 1\/28*a**4 - a + 1\/735*a**7 + 64*a**2 + 1\/210*a**5. Factor t(y).\nAnswer: 2*(y - 2)*(y - 1)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2 = 0, 27 = 3*z + j - 14. Suppose 357 = -z*n - 8*n. Let u be 48\/(-15)*(6 + -1). Is u < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4402 divided by 138.\nAnswer: -2201\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l. Suppose 4*f - 2 = -3*o - 3, -3*f = 3. Let w(c) = 2 + o - 2. Give t(h) + 2*w(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/75513708 and -37\/5593608?\nAnswer: 151027416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*r + 4*u, -2 = 2*r - 3*u - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 1. Let i = -18.95 - 0.05. Let y = 21 + i. Which is the closest to m?  (a) y  (b) 1  (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.05 + 0.07. Let y = 3 - 0. Which is the third biggest value?  (a) 2  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -b25?\nAnswer: -b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 8 - (2 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*g**2 + 350*g + 6125 = 0. Calculate g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -62*a + 21 + 15 + 17 - 52 + 64*a + 13540*a**3 to k*a + r*a**2 + w + o*a**3 and give o.\nAnswer: 13540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 + 67. Suppose 8*s - 3*s - 2*h = 40, 5*h = 4*s - t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 518 and 70.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9653484 and 102384?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69)\/115*(-10)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68403*f**3\/8 - 7940637*f**2\/8 - 4882464*f - 6137856 = 0.\nAnswer: -111, -384\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence evj when three letters picked without replacement from evujioeeeeoo?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - g + 2. Let d be o(2). What is z in 1\/2*z + 0 + 0*z**2 + 0*z**d - z**3 + 1\/2*z**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 12 = 2*m. Let w be (m\/(-2))\/(1\/(-14)). Let o = -14 + w. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 804520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1913467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*v - 1 - v**4 - v**2 + 5 in the form y + d*v**4 + b*v**3 + c*v**2 + j*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o - c + 89 = -15*o, 4*o + 3*c = 352. What is the remainder when o is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 5:38 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2434 - 62*r - 2434)*(-4*r**2 + 3*r**2 - r**2).\nAnswer: 124*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, 1, 4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1116 + -787. Let h = -396 + r. Which is the closest to 0?  (a) h  (b) -1\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zizwwhwhzzzfsiww. Give prob of picking 2 i and 2 w.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1086*l**6 + 3277*l**2.\nAnswer: -130320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let y be 8 - u*2\/(-2). What is the units digit of 48\/9*y\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8149, 8142, 8139, 8146, 8169?\nAnswer: 8214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -522 - -5102?\nAnswer: 4470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8418 times -2?\nAnswer: -1.6836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 10*z**2 + 6. Suppose 3 = -a + 13. Let m be w(a). Calculate the lowest common multiple of 16 and ((-24)\/(-15))\/(m\/45).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 2*l - 17, 7*d = 6*d + 5*l - 36 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -219 - -214. What is the third smallest value in g, -1, -4\/53, 0.2?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -4*i**4 + 28*i**3\/3 - 6*i**2 - 18. Let p(q) = -q**4 + q**2 + q - 1. Let o(m) = j(m) - 4*p(m). Factor o(v).\nAnswer: 4*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 229182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1417178 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: What is the first derivative of 4003652*b**2 + 1414155?\nAnswer: 8007304*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28205 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -800 less than -2114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*x = -300. Let o be 4\/10 + 15\/x. Which is the second smallest value?  (a) -0.4  (b) 10  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12004, 24008, 36012, 48016?\nAnswer: 60020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**2. Let a(x) = x - 9. Let q(j) be the second derivative of -9\/2*j**2 + 35*j + 1\/6*j**3 + 0. Let d(n) = -4*a(n) + 6*q(n). Give d(f(h)).\nAnswer: -4*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -0*o + 18. Let q be (1\/(-2))\/((-15)\/o). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 56 = -4*m, 0*m = -3*m - 4*k + 44. Suppose -m*q + 80 = -10*q. Suppose -633 = -2*h - 73. What is the highest common factor of h and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -11*g**2 + 2*g + 82. Let c be i(12). Which is smaller: c or -1477?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.3  (b) -842  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*b**2 + 38 - 190 - 32 - 9*b**2.\nAnswer: 5*b**2 - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n = -3*m - 4*n + 7, 5*m - 15 = 5*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14210 (base 5) to base 3.\nAnswer: -1121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 4:08 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -91, 1, -4, -238, -5, -2 in increasing order.\nAnswer: -238, -91, -5, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 95972.0408 rounded to the nearest 100?\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -346*k = -52*k - 275 - 19. Does 99\/149 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -1, 2, -2 in decreasing order.\nAnswer: 3, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 523000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 8*g. Let r(s) = -132*s + 1851. Let c be r(14). Solve 0 = -4*v + c*d - 4, -5*v + 2*d + g*d = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 548253 divided by -2.\nAnswer: -548253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 302*b - 126*b - 97*b - 112*b. Let l(p) = -p**2 - p + 1. Let u(r) = -3*r**2 + 2*r - 2. Let h(q) = 2*l(q) + u(q). Determine f(h(t)).\nAnswer: 165*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 370 - 230. Suppose -b = -8*b + h. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8169 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - ((-44)\/4 + 2))*(-6)\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1027 - 1048 - (-30)\/9*3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*z - 59 + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34641 + 34646. Solve 0 = a*s, 0 = -2*r + 168*s - 171*s + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uurququbbbxuqb. What is prob of sequence ux?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1405257 is divided by 6991?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5274806*o**2*r + 1420592*o**2 - 2*o*r + 2*o - 3*r - 14 wrt r?\nAnswer: 5274806*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -b**6\/15 + b**4\/6 - 7*b**3\/6 + 94*b. Find the second derivative of q(r) wrt r.\nAnswer: -24*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.169 + 0.35. What is m rounded to two dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 - 89. Suppose -3*k + 3*l = 429, -5*l = 2*k - 4*l + 283. Let r = m - k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -203 - -203.000159. What is l rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173056 is divided by 435?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**5 - 430*z**4 + 102555*z**3 - 3342600*z**2 - 10962000*z = 0. Calculate z.\nAnswer: -203, -3, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -119 - -227. Let y = x - 863\/8. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -1415*g - 220. Is y(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, m: 3, i: 3, t: 4, j: 6}. Give prob of picking 1 i, 2 j, and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19127 + -7904. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.9 + 0.8. Let b = y + -1.6999964. What is b rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 1:14 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6797949\/3740 + 9088\/5. Find the common denominator of 103\/68 and t.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -90.9 bigger than 701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(832)*1 + -4)*-5*5)**2.\nAnswer: -90000*sqrt(13) + 570625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5703.613 kilograms?\nAnswer: 5703613000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10885 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -355*r + 354*r = t + 7, -5*t + 5*r = 55 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 121617109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 610121620 and 2105?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 40, 321, -5\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 8:18 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/3*3*1. Let i(g) = -g**3 + 9*g**2 - 6*g + 8. Let p be i(8). Suppose -t = -2, -h - 2*t = -m*h + p. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-19)*t\/(t*(t*t*t\/(t*t*t**33))\/t) assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/864 and 109\/30?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/3))**(-32\/5)\/((b\/(b*b**(-6)))\/b*b**1))\/(b**(-1\/4)*b**(-1\/2)*b**(1\/8)*b*b**(-3\/2)*b) assuming b is positive.\nAnswer: b**(-1217\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -32  (b) 4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26983?\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 5. Suppose 3*j - 24 - 6 = 0. Let q = m + j. Put q, -5, 0 in descending order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-36)\/2 + -2 + 0. Let d be (-8)\/(-12) + h\/39. Let z = -3 - -4. What is the closest to z in 0, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 41\/23731?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2597571481 to the nearest integer?\nAnswer: 50966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2064611 is divided by 2064539.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*b**3 - 6*b - 59*b**3 - 9*b**3.\nAnswer: -74*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 6*q - 3. Let k be f(1). Solve 0 = -2*b + 3 + k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 1224*t**2 - 38*t - 50. Let s be l(-13). Round s to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -5.068708.\nAnswer: -10.068708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**2 + 15*c**2 - 10*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 11:56 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p - 1. Let a be (-14)\/21 + 28\/6. Suppose -a = u - 2*u, -3*t + u = 7. Determine q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 35424060*y**4 - 18341103 with respect to y.\nAnswer: 141696240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -18. Let q = -18 + 10. Let v be 9\/(-3) - 21\/q. What is the nearest to -0.3 in 1, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*n**2 - 26*n**2 + 43*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 659488774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 67394 or 67393?\nAnswer: 67394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 99\/4, 0.098, -1\/2, -85 in ascending order.\nAnswer: -85, -1\/2, 0.098, 99\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/3  (b) 0.3  (c) -56  (d) 111  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-44)\/(-6)*15\/10. Is 15 a factor of 321\/s + (-8)\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10548 and 255496?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*s + 10 = 0. Suppose 0 = -t + 2*t - 1, -s*t = -5*v + 55. Do v and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299956 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -2817, 0.4, 21 in descending order.\nAnswer: 21, 4, 3, 0.4, -2817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 179*n + 79.\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(1331) + (sqrt(1331) + (sqrt(1331) - (-1 + sqrt(1331) - sqrt(1331))))*-4 + -2*sqrt(1331)*6)**2 + 0 + -5 + -1)*-6.\nAnswer: -2883030 - 10032*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 120328a (base 12) in base 4?\nAnswer: 31103313022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 6*f + 25 - 3*f + 4*f + 0*f + (-1 + 5 - 2)*(5*f - 3*f + 0*f))*(-14 - 18 - 13 + 0).\nAnswer: -495*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 4*g**2 + 3*g + 9. Let h = 39 - 35. Let j be m(h). Solve -w - j = 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 362226597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -310fc (base 16) to base 10\nAnswer: -200956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**5\/5 - 1438*r**4\/5 + 69384*r**3\/5 + 15514088*r**2 + 77499616*r\/5 = 0.\nAnswer: -188, -1, 0, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 83*i - 175*i + 80*i - 60. Put -15, i, 20 in decreasing order.\nAnswer: 20, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190)*-1*4)\/sqrt(5))\/((sqrt(6) + sqrt(96))\/sqrt(3) - (sqrt(4)\/(sqrt(6)\/sqrt(3)) - sqrt(2))) + 3.\nAnswer: -4*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30565*g**3 + 20*g**2 + 30562*g**3 - 4*g**4 + 12*g - 61123*g**3.\nAnswer: -4*g*(g - 3)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 4 + 3*q**3 - 4*q**3 + 7*q - 3*q - 3*q**2. Let z be b(-4). Let k be (-741)\/(-57)*(-2 + 1) + 25. Solve z*j = 4 - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9615 (base 13) in base 8?\nAnswer: 50505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**3 + 8*g. Let q(y) = -y. Give -24*q(a) - 3*u(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*v + 49*v - 32*v**3.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) 0  (c) 9  (d) 0.4  (e) 0.5  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 62304 and 38137836?\nAnswer: 305102688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5 = 1. Solve -3*w + 6*w = q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/5))**(10\/3)\/((a*a**(-2\/11)*a)\/a**1)*a**7*a\/(a*a**(6\/11))*a**(-7)\/a*a*a\/(a**(-2\/23)\/a) assuming a is positive.\nAnswer: a**(1561\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**5\/60 - 2*a**4\/3 + a**3\/3 - 6*a**2. Let o be w(16). Solve 2*t - 8 = -o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of k**3\/3 - k - 24. Let y(f) = 7*f**2 - 2. Determine 2*q(n) - y(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1448 - -1452. Suppose 2*y + 2*y - 54 = -5*x, -y + 7 = -2*x. Let n = y + l. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -0.3, -1\/9, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 6*g**2 - 1 + 1 + 4*g + 4. What is the units digit of d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 323 + 1001?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 4*i**2 - 115456*i - 115460 = 0.\nAnswer: -1, 28865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 3)*(7*l**2 - 17*l + 17*l)*(-4*l**2 + 4*l**2 + 11*l**3).\nAnswer: -308*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 5 + -11 + 10 + 111 + (-14 - -1)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 408 - 369. Calculate the highest common factor of v and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13389.\nAnswer: 3, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**3*l**2 - 4411*b**3*l - 15509*l**2 - 13*l wrt l.\nAnswer: -2*b**3 - 31018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4*u + 1. Let n be g(-1). Suppose 3*l - 12 = -0*l. Let y(a) = -l - 6*a + 5 + 5 + a**2. Calculate y(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/5)*d**(-4))\/(d**(-1))**(3\/26) assuming d is positive.\nAnswer: d**(-453\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -2\/5, 1, 0.129, -2\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 0.3, 3282, -33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -19140 - -3649?\nAnswer: -156b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 + 23 - 8*h - 8*h to the form n + g*h and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-15 + -9 + 16 - (-14 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1236\/7*j + 3\/7*j**3 + 1248\/7 + 300\/7*j**2.\nAnswer: 3*(j - 2)**2*(j + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of 4\/3*b**3 + 0 + 0*b + 1\/12*b**4 + 14*b**2 + 1\/20*b**5. What is the units digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -1. Let a(j) = j**3 - 13*j**2 + j - 14. Let o be a(13). Let i(f) = -f + 1. Give o*i(y) - 2*h(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u. Let t = 15 + -9. Let y(d) = 8*d. Let w(k) = t*y(k) - 51*f(k). Let b(p) = 2*p**2. What is w(b(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rnrrrrnnrrnrn. What is prob of picking 1 r and 1 n?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21840 and 3640.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.4, 7234, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 70820 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (84\/(-24) + 5\/1)*2114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 94 + 86 = 0. What is the remainder when 299 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*y - 53*y + 5*w - 15 = 0, 12 = 4*y - w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - 2*y**2 - y + 2. Let g be c(0). Calculate the least common multiple of 2 and 2 + (-3 - (-9 + g)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.423576 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1963*a + 5*c = -1958*a - 15, 11 = -2*a - 15*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 174.9 - 188. What is p rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38727 divided by 12909.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 3, 13, 7.8, -0.1?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -8 - 3) + -2 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/sqrt(4)*-6 - sqrt(2754)*2)\/((sqrt(20)\/(sqrt(60)\/sqrt(6)) - sqrt(2)) + sqrt(20)\/(sqrt(10) + 2*sqrt(10))).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -33 - 24) + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + 0. Suppose -5*k + 17 = w, 3*w + 0*w - 3*k - d = 0. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 86, 359, 836, 1535, 2474?\n\"Answer: 3*g**3 + 84*g**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -2*n + 18, -n + 5 = -a + 2. Solve -j = -n*h + 17, 5*j + 2*h = -h + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 123462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f. Let k(n) = -n**2 + 3*n**2 + 6*n - 6*n. Determine k(j(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.40107 micrograms in kilograms?\nAnswer: 0.00000002740107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 11 = -5*z, 4*z + 18 = 4*p + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-6)*(g\/(g*g**5))\/g)\/(g**(1\/3)*g)**(-4\/17))\/((g\/(g\/(g\/(g\/g**1))))**(-20)*((g\/g**1)\/g)\/g**(-2\/5)) assuming g is positive.\nAnswer: g**(2273\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1217751 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 6 = 0, 5*m + 4*u + 2 = 39 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/23)*a*a*a**38)\/(a*a**(2\/17))**(-1\/40) assuming a is positive.\nAnswer: a**(627397\/15640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 49501453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**3 - 3*z**2 + 8*z - 15. Let o be p(-4). Let t be 1 - (1 + 1 + 2). Let g = 8 - t. What is the highest common factor of g and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 9*g**2 + 8*g - 5. Calculate q(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -184.6737438 and -0.038?\nAnswer: 184.6357438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13583.961 - -13572. Is -0.2 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 482878\/7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -q + 10, -7*o - 10 = -5*q - 2*o. Let m = 15.3 + -11.3. What is the nearest to q in 2, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 565432 and 9338.\nAnswer: 16397528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*a + 140*a = 7*c - 98, 2*c + 5*a - 45 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/(-14))\/((-66)\/(-77)))\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 1. Let v be b(6). Suppose 0*o - 2 = -h - 2*o, v*h - 50 = -2*o. Suppose -3*d = -4*d + h. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3*s + 7. Let g(u) = -4*u + 7. Let r(p) = -2*g(p) + 3*l(p). Does 2 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00007637 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f - 3*f**4 + 397*f**3 - 141*f**3 - 139*f**3 - 119*f**3 - 7 + 11*f**2 to the form j*f + h + x*f**2 + d*f**4 + c*f**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*i - 1114 = -3*t, 0 = 2*i. What are the prime factors of t?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 796502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 100 - 79. Calculate the remainder when d is divided by (0 + (-2)\/(-4))*(34 - 28).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*h**3 - 4*h**3 - 36 + 38 - 400*h.\nAnswer: 6*h**3 - 400*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 6 = 0, -q = 4*b - 14 - 12. What is the first derivative of b*d + 43 - 18*d + 5*d - 22*d wrt d?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7364 - 140 = 8*k. Does 43 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - 127*y - 9*y as d*y + g and give d.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 4  (c) -0.1  (d) 1\/6  (e) 3\/197\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7168 is divided by (-4416)\/(-192) - 4\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5235 (base 6) to base 13\nAnswer: -6c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 16*t - 1. Let l be p(1). Let m be ((-9)\/15)\/((-3)\/l). Suppose 0 = o + m*h, -2*o - 4*h = -5*o + 52. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73154.\nAnswer: 2, 79, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -125321469.56179 minus 0.07?\nAnswer: -125321469.63179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from mdddf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.449 in 0.4, 27, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/sqrt(2)*-5 - (sqrt(52) + sqrt(2548)*1))\/(sqrt(324)*2 + sqrt(32)\/(sqrt(8)*2 - sqrt(8)) + sqrt(4)).\nAnswer: -13*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 1. Let n(c) = 5*c + 30. What is n(w) - 6*o(w)?\nAnswer: -w + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0017628033 to 5 dps.\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 2*x - 48, x + x = -3*a + 27. Let q be (x\/(-15))\/(3\/(-10)). Let m = -71\/4 - -18. Put q, m, -1 in descending order.\nAnswer: q, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -15*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + -2. Let w = r - -8.06. Let x = w + -5.06. What is the nearest to -2 in -4, -4\/5, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 6:41 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4991, 9957, 14923, 19889, 24855?\nAnswer: 29821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 875, 3465, 7775, 13805, 21555?\n\"Answer: 860*z**2 + 10*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4*b**2. Let i(p) = 1646*p**2 - p - 2. Determine i(g(n)).\nAnswer: 26336*n**4 - 4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + -1 + -1)) + sqrt(7) + sqrt(14)\/sqrt(2) + -3)**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 155524 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -68964\/23341?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-57)\/190*1106\/237?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4896) + sqrt(4896)*1)\/sqrt(2).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2*k - 5, 2*t - 7 + 5 = 2*k. Let f(u) = u**3 + 3*u**2 - 2*u + 1. Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**3)\/c)**(-8\/17) assuming c is positive.\nAnswer: c**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {b: 1, c: 2, l: 7, w: 3, m: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -802.2 + 797.2. What is the closest to 4 in -2, n, 1\/3, -13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence covt when four letters picked without replacement from tcvovo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -17, -3, 4\/5, 0.4, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9691914887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 37052 (base 13) to base 10\nAnswer: 101129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 3 + 1)*(4*z - 6*z - z) to w*z + m and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 7*s**2 + 7*s - 6. Let c be 24*4*3\/12. Suppose t - 12 = 2*q, -2*t - 3*t - 2*q = -c. Determine d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 3*d - 93, 4*d = -3*w + 22 + 36. Let s = w - 71\/4. Find j, given that 1\/4*j - 1\/4 - s*j**4 + 1\/4*j**5 - 1\/2*j**3 + 1\/2*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 146903195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 1:12 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 s, and 1 q when four letters picked without replacement from {t: 1, c: 1, y: 3, s: 2, q: 3, j: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1226090 is divided by 992?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*y + y. Let a be 5\/((-30)\/(-4))*84\/(-8). Is y at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**5\/15 + 31*c**4\/3 + 1922*c**3\/3 - 724*c**2. Factor n(w).\nAnswer: 4*(w + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.275342 - 1.3114. Let k = -9.036 + 9. Let t = n - k. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-1 + 0) + 1. Let q(a) = 37*a**3 - a**2 - 4*a - 4. Let y be q(x). What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - ((sqrt(190) + 1*sqrt(190))*-1 + sqrt(190)) - sqrt(190)))*3)\/((5*-2*sqrt(70) - sqrt(70))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -43*t + 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30884 is divided by 306.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (954 - 2)\/(-7)*-8. Let k = -831 + m. What is the remainder when k is divided by 121?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -y**3\/2 + 5*y**2\/2 - 171*y. Let t(o) = -o**2 + 3*o - 2. Let h be t(3). Let u(a) = 13*a - 20. Calculate h*u(m) - 9*f(m).\nAnswer: m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, a: 1, y: 1}. What is prob of picking 1 y and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-13458)\/60390 - (-1)\/5. Let w = r - -679999\/12078. Let o = w + -103\/2. What is the common denominator of -13\/3 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-2))**(-41))**(-9\/10)*(x*((x**(-2\/9)\/x)\/x)\/x)\/x*x**(-2)*x*(x\/x**(-1\/3))\/x**7 assuming x is positive.\nAnswer: x**(9073\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bzt when three letters picked without replacement from zslzzbptspbzpsp?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -13*p**3\/3 + p**2 - 4*p + 8. Let m(n) = 7*n**2 - n + 2. Let z = 8 - 14. Determine z*o(v) - 11*m(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248 = -4*f - 32. Let n = 20 + -8. Suppose 2*o - n = -0*o. What is the greatest common divisor of o and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 633569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 49, 30, -13, -92, -219, -406, -665?\n\"Answer: -2*a**3 - 5*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 852150 and 8398?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -423968 divided by -211984\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 14 = 6. Suppose c*o + 4 = 114. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-66)\/55*10\/(-3). Solve t*k + 8*q - 4*q = 0, -5*q - 36 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 + -1*(-16)\/(-2). Which is bigger: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -2*(sqrt(11) - sqrt(33)\/sqrt(3))**2)*-4 - 5*sqrt(704)*1.\nAnswer: -44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.543 + -0.677. Round q to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 + 9. Suppose 49 = -7*q + 189. Suppose -4*m - 80 = 3*o + o, 0 = m - 4*o + q. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 124724158 and -580.5.\nAnswer: 124723577.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iexiuuuzifze. Give prob of sequence zxu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 507\/1195216 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 12:59 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 3:56 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, e: 2}. What is prob of sequence ede?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2309837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * -4.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-8) - ((-15)\/(-12) - 1). Suppose 3*p - 57 + 4 = -5*d, 0 = -d + 5*p + 5. List the prime factors of (-61)\/q + (-30)\/d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.81174272 rounded to 4 dps?\nAnswer: 4.8117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 342634004 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -396*s - 8192 = 4*s + 1408 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*x**2 + 1035 + x**3 + 1051 - 33*x**2 - 2188 + 7*x**2 + 155*x.\nAnswer: (x - 51)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03501 - 29692.4.\nAnswer: -29692.36499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 218*d**3 - 216*d**3 + 1024 + 254 + 564*d**2 wrt d.\nAnswer: 6*d**2 + 1128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2931.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5 - -0.5. Let t(n) = 9*n + 7. Let v(b) = 4*b + 3. Let d(p) = 3*t(p) - 7*v(p). Let k be d(2). Sort s, k, 2 in increasing order.\nAnswer: k, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*v**2 - 219*v**3 + 44*v**2 + 2*v + 31*v**4 - 30*v**4 to i*v + p*v**3 + y*v**4 + o + s*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 45679, 45548, 45315, 44980?\n\"Answer: -51*z**2 + 22*z + 45708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4271, -4579, -5391, -6959, -9535, -13371, -18719, -25831?\nAnswer: -34959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d. What is f(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**2 + 85*f**4 - 48*f**4 - 34*f**4 - 3 - 9*f**3 + 10*f**3 - 25*f**4 to the form q*f**4 + m + l*f**3 + w*f + v*f**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-2*q**2 + 4*q**2 - q**2) + 86 - 108*q**2 - 86.\nAnswer: -106*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2240\/13 - 367607\/2132. Let u = 6925\/1804 - h. Calculate the common denominator of -137\/18 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (-20 - ((-11 - -3) + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -101?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 198 in -51, -0.4, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 17\/68 - ((-2942)\/20)\/((-16)\/(-40)). Let o(n) = 104*n**2 + n - 1. Let a be o(1). Suppose 6*b - u = -a. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 + 8*r + 4. Let z be v(-6). Let w = 46 + -42. Is 2\/w + 2702\/z 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 hqdh. What is prob of picking 1 q and 1 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 8:11 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 * -0.241.\nAnswer: -0.00723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**5\/120 - s**4\/8 + 3*s**3 + 6*s. Let u(j) be the second derivative of p(j). Let v = 5 - 2. What is u(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -1 + 18 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (22 + -89 - -30).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1561437.\nAnswer: 3, 37, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 256 is divided by 145.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1444?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -4*r**2 - 1160*r - 1156 = 0.\nAnswer: -289, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -32, 2\/15, 1\/3, 2384\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*z**3 - 12*z**3 - 2*z + 4*z**3 - 2 + (z - z + 2*z)*(-2*z**2 + 0 + 0) in the form k*z**3 + a*z**2 + q + t*z and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -119317.58 * 5\nAnswer: -596587.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a - 4. Let t be 368\/(-920) + (2\/5)\/1. Calculate w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s - 5*s + 3*s - 13*s - 4*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -8941749, -8941756, -8941763?\n\"Answer: -7*q - 8941742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 15 = 3. Let s(r) = -r**2 - 7*r - 7. What is s(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14197\/7 + 2028. What is the third smallest value in 0.2, 2, q, -28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) - 5*(sqrt(228) - (sqrt(228)*-2 - sqrt(228) - sqrt(228)))) + sqrt(228) + sqrt(228))\/(-6*sqrt(108)).\nAnswer: 11*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2594 = -5*y - 2604 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -10*u + 140. What is o(19)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + 4 + sqrt(6)\/sqrt(3) + (2 + sqrt(98))**2.\nAnswer: 30*sqrt(2) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1872) + (1 + 2*sqrt(1872))**2)*1*5.\nAnswer: 600*sqrt(13) + 74890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = -2*q + 5*g + 609, 302 = q + 5*g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 7 + d**2 - 4*d**2 - 8 - 2*d. What is the tens digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/4, -7569, 1.9?\nAnswer: -7569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -13*b + 3*b. Suppose 0 = 5*z + 15, b*o - 274 = 3*o + z. List the prime factors of o.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - x + 176 = 0, -23*t - 317*x + 315*x + 229 - 403 = 869 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h + 11. Let v be i(-10). Let z = v - 48. Solve g = -0*g - z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {q: 9, x: 2, j: 7}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 342*h**2 - 6*h**3 - 1080*h + 2688*h + 453*h**2 + 807.\nAnswer: -3*(h + 1)**2*(2*h - 269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 + 18*w - 29. Let f be g(-20). Differentiate -145*l**3 + 39*l**2 - 98 - 28*l**2 - f*l**2 wrt l.\nAnswer: -435*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 101*p**3 + 4461*p**2 - 3216*p - 1292. Let d(r) = 292*r**3 + 13382*r**2 - 9647*r - 3874. Let a(c) = -6*d(c) + 17*y(c). Determine s so that a(s) = 0.\nAnswer: -128, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1872, 1875, 1878, 1881?\nAnswer: 1884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23832 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 7\/4  (b) -1\/4  (c) -12  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -3 + sqrt(1539) + -5.\nAnswer: -11 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*l**3 + 63*l**3 - 21*l**3 - 25*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -266 times -36?\nAnswer: 9576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 15*n**2 - 37*n + 16. Let z be y(12). Solve -4*i = -z*r - 12, 0*i + i = -2*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 635110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1213 divide 170908968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 188, 198, 220, 260, 324, 418, 548?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3074 divided by -186?\nAnswer: -1537\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12267*o - 40626 wrt o.\nAnswer: -12267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 42 = -23. Suppose -4*i - f = -5. What is the units digit of 1\/((-22)\/(-10) + i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*j - 2*y, 0 = -y + 3 - 1. Let p(g) = g**2 - 8. Let r be p(j). Let c(z) = -z - 1. What is c(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 15 = -2*c. Let p = 404 - 388. Solve c*g + g = -p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2451, 19587, 66107, 156711, 306099, 528971, 840027, 1253967?\nAnswer: 1785491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6494746 rounded to the nearest 10000?\nAnswer: 6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -374.3535 and -0.195.\nAnswer: -374.5485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 234065666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h - 3. Let p be m(5). Suppose -5*v - 1 = -a + 19, -p*a + 12 = 4*v. Is ((-90)\/25)\/((-2)\/a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9 + -3)\/3 + 3. Suppose 10*w = n*w + 160. Let y(i) = 32 - i**2 - w. Let z(l) = 6*l. What is y(z(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 0*c = 11*c - 134, -58557*c + 58554*c + 52 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 348*y**2 - 13*y + 17. Let q(j) = 61*j**2 - 2*j + 3. Let d(z) = 3*f(z) - 17*q(z). Let o(t) = 20*t**2 - 15*t. Give 17*d(n) - 6*o(n).\nAnswer: -n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**2 + 7*g - 10. Let l be x(6). Suppose -4*h + 8*h - l = 0. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -61908 divided by 6?\nAnswer: -10318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3974318020 to the power of 1\/2, to the nearest integer?\nAnswer: 63042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 156669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4961140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 63830175 - 13423039. Suppose 4*y - 4*o - f = 0, -y - 50407151 = -5*y + o. Suppose -4*u - 16198211 = y. Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide (115\/(-1))\/((-55)\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 385537?\nAnswer: 385537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 3*q**2 + q - 5. Suppose 5*m = 12 - 32. Let x be n(m). Let h = -18 + x. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a + 25. Let x be j(10). Suppose o + 4*f + 10 = -x, -18 = -2*o + 4*f. Which is smaller: o or -2\/121?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 203*f**3 + 289*f**3 - 2007 + 1683 wrt f?\nAnswer: 1476*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 109322711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 2*o - 1. Let s be p(-2). Let c(b) = 3*b**2 + 3*b + 1. Let g be c(-3). Let r = g - s. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.21?  (a) 3\/8  (b) -1  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 101.55 rounded to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12000102112 (base 3) to base 13.\nAnswer: 35c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(160\/140))\/(14\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 644449 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64253*n = 64274*n + 420 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1325994.6 and 3?\nAnswer: -3977983.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*t + 22*t = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + 2 + 12\/(-16). Which is the closest to -0.3?  (a) 5  (b) n  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 7*x**2 - 6*x + 3. Let k be c(-6). Let h(d) = -d + 5. Let p be h(k). Solve p*b - 3*b + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 124 - 80. Calculate the remainder when n is divided by (3 - 0 - 0)*5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -10*((-27)\/6 - -3). Suppose -5*j - 5 = m. Let t(i) = i**3 + 4*i**2 - 5*i + 3. Is t(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3080 and 4130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from isgsiiaisksssssis. Give prob of picking 1 i, 1 s, 1 g, and 1 k.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -387.458 or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 9\/2  (b) -0.66  (c) 0.1  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + -350334?\nAnswer: -350336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19690632 by -2461329.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, b: 4, f: 2, q: 1}. What is prob of picking 1 b, 2 f, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -294 - -294. Suppose 0 = -p*y + y - 4*z - 20, z + 104 = 3*y. Let l(k) = k**3 + 12*k**2 - 18*k + 6. What is the remainder when l(-13) is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 488*q + 29768.\nAnswer: 2*(q - 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 54*v. Let i(x) = 3*x + 4. Let g(f) = 4*f + 6. Let k(t) = 2*g(t) - 3*i(t). What is 45*k(a) + s(a)?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 10*v = 39, 44*v - 19 = s + 39*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 6 = 12*i. Suppose -2*p + s + 25 = -0*s, 3*s - 5 = -i*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 9*g = -262. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + (1 - 18\/(-8)). Suppose 4*g - 18 = -2*o, -3*g + 23 = 2*o + 2*g. What is the third smallest value in o, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x - x + 4*x)*(-2 - 2 - 1)*(-4 + 3 - 1) in the form v + p*x and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -30*c + 15. What is i(-3)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (-676)\/(-16) - (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 3*v)*(16 + 24 + 7)*(-2 - 1 + 2)*(80*v + 1427 - 1427) to the form f*v + d + r*v**2 and give r.\nAnswer: -11280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t**(2\/23)*t*t)*t**(2\/43)\/t assuming t is positive.\nAnswer: t**(-2018\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n + a = -11*n + 18, -3*n + 2 = -5*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -11.805, -0.1, -98, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-7\/6)\/(a**(-1\/3)*a*a))\/(a**(-15)\/(a\/(a*a**11))) assuming a is positive.\nAnswer: a**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13450454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 855644 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34773 + -34773.900096. Let f = 0.9 + d. What is f rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(68) - (sqrt(68) - ((sqrt(68) - -1*sqrt(68)) + sqrt(68))) - sqrt(68) - sqrt(68)))\/(sqrt(4)*-2*-1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 35 = 4*l - 43, 5*l - 4*w - 87 = 0. Suppose y + 0*b + 2*b - l = 0, -3*y + 4*b + 97 = 0. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((0 - 2) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 123079 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1745 - -45377\/26. Let d = l + -101\/182. What is the second biggest value in -1\/2, d, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17177 is divided by 94.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 630757511.\nAnswer: 17, 29, 1279427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 8 = 13. Is n equal to 2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a factor of 90307268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y + 65. Is s(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 453*j - 2726 = 4522 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (7327\/(-68))\/((-5)\/780)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 42106400?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 10. Let m = 837 + -353. Suppose 492*w = m*w. Give y(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000000100010100 - -1101001010111?\nAnswer: -110011010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -1\/7  (c) 1  (d) -5  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 17*d**2 - 28*d - 175. What is z(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -683.6 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1033012314 (base 5) to base 15.\nAnswer: 2e24c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.00553*300\nAnswer: -1.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of q**7\/21 - 6*q**6\/5 + 16*q**5\/5 - 121*q. Solve a(b) = 0 for b.\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 divided by 17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 - (131 + (-94 - -31)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 175949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 232448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/3 - 811820*a\/3 + 82381464050\/3.\nAnswer: 2*(a - 202955)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23 + 7*h**2 - 433*h - 3*h**2 + 455*h - 2*h**3 + 0*h**2 - 1.\nAnswer: -2*(h - 4)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 138*b - 578 - 250 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.7 - -2. Let z = m + 0.7. Let w = z + 2. What is the closest to -1 in 1, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 + 6*u + 8. Let s be j(-5). Let f(m) = m**3 - 2*m**2 - m - 6. Let l be f(s). Sort 3, 4, l, 1 in decreasing order.\nAnswer: 4, 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 equal to 128\/99033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43\/9 + 14\/3. Let l = 683.9 - 684. What is the closest to -2\/5 in z, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4\/25, -11, 8?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -3*d**5\/20 + d**4\/12 - d**3\/6 - d**2\/2 - 2*d. Let z be 1\/2 + (-6)\/4. Let w be l(z). Solve -15 = -w*x + b - 0, -b = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30\/(-35)*1477\/(-2). Suppose 65*l - 66*l + v = 0. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117 + -171 + 39 + -28.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**3 + 148*g**2 - 4*g + 282. Determine v(74).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of 7*l**6\/20 - l**5\/60 - 13*l**4\/24 - 5*l**3\/2 - 86*l**2. Is w(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 70.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(4\/1)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 4:34 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 - 12*d**3 - 6*d**3 - 2*d**3.\nAnswer: -5*d**2*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t + 0*t - 3*t + (t + t - t)*(-2 - 4 + 3) - t + t - t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, q: 1, z: 1, l: 2, h: 2, w: 1}. What is prob of picking 1 g and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-155)\/10 + (-3)\/6. Let o = -2 - k. Solve 6*v - 2*v = 4*p + 32, p + o = 3*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 15*y + 14. Let q be s(-1). Let j be q\/1*9\/(-9). Sort j, -4, 0, -52 in increasing order.\nAnswer: -52, -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 10*b + 15. Let q = b - 0. Let u = 75843 + -75841. Solve a = -f - 7, a + 16 = u*f - q*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*f**5 - 33*f**4 + 153*f**3 - 69*f**2 - 39*f + 18 = 0 for f.\nAnswer: -3, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(5*1*sqrt(3)) - (0 + 2*(sqrt(3) + -2)).\nAnswer: -9*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3674.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - (1 - -1 - 63). Let w be s\/14 - (-4)\/(-28). Let u be (1\/(-2))\/((-4)\/16). Solve 0*x - 2*x - 4 = -i, -u*x = -5*i + w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 4*u**5\/3 + 12*u**4 - 904*u**3\/3 - 2888*u**2\/3 - 980*u - 988\/3 = 0.\nAnswer: -19, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 535 = -2*n + 87. Let r = 110 - n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20216780872.5 - -0.03.\nAnswer: 20216780872.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2eaaa4 (base 16) in base 11?\nAnswer: -17a985a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/3*0 - 4. Let p(h) be the second derivative of -h**4\/12 + 3*h**2\/2 - 4*h. Let a(w) = -w**2 + 2. Calculate i*p(u) + 6*a(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**18\/(p**41\/p) assuming p is positive.\nAnswer: p**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 - 23064268*j**2 + 23064266*j.\nAnswer: 2*j*(j - 11532133)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 3  (c) 0.1  (d) -12  (e) 36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 137\/(1459050\/100)*-3.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, -8, -53, -136, -269, -464?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -68, 4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 - 20*u - 10. Let v(y) = -2*y**2 + 21*y + 9. Let c(l) = -3*j(l) - 2*v(l). Suppose -32*s - 48 = -28*s + 5*x, 3 = s + 5*x. Give c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -40*n**2. Let h(u) = 9736889*u. Determine j(h(d)).\nAnswer: -3792280295932840*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*r + 8. Suppose -2*b = -5*m - 1098, -4*m = 6*b - 5*b - 536. Suppose -u + 3*y = -0*u - b, -2*u = r*y - 1038. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 90\/(-40)*(-11 - 19\/(-57))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**2 - 9*t - 12 = 0. Calculate t.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -13527 + -15.7643?\nAnswer: -13542.7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -999*i**2*s + 2*i**2 - 2*i*s**2 - 900310*i + 2*s**2 - 7387*s + 30 wrt s.\nAnswer: -999*i**2 - 4*i*s + 4*s - 7387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)\/(b*b\/(b**2\/b)))\/(b\/b**(1\/3)*b**(-2\/7)*b)*((b\/(b*(b*b**(1\/3))\/b))**(-1\/14))**(-3\/32) assuming b is positive.\nAnswer: b**(-11267\/1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-52)\/(-112))\/(15906\/(-148456))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 78.793 - 79. Let i = 3.207 + w. Which is the nearest to i?  (a) 2  (b) -3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -11*b**2 - 166*b - 16. Let f be r(-15). Sort 9, 1, -3, f.\nAnswer: -3, f, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -57*34\/(-1530)*-15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 106778812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 283951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1458 + 2*u**3 + 0*u**3 - 67*u**2 - 750*u + 659*u + 577*u + 13*u**2 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (((-2112)\/52)\/(-4) - 26\/169).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 989d9 (base 15) to base 7\nAnswer: 4056366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 - 5*h - 39 + 20 to the form l + p*h and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 14498*r - 57776. Calculate g(4).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 1053*h**2 - 5*h. What is the units digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100669 at most 100669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3*c - 1 = -7, 2*c - 14 = -3*t. Let y be (-2 - 5\/t) + 4. Put 5, -4, y, 13\/5 in descending order.\nAnswer: 5, 13\/5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 13. Factor 3*b**2 + b**3 + 2*b + b**3 + b - 3 - i*b**3.\nAnswer: -3*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 8) in base 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, y: 6, s: 4, q: 1}. What is prob of picking 4 s?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Solve 152*k + 378 = -155*k + 334*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -9*x**3 - 2*x**2 + 6*x - 17. Calculate a(2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -42, -1\/119, 0.8573?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 3*q + 8, 3*q - 19 = -7. Suppose 5*z + 8 = 4*j, 5*j = s*z + 1 + 9. Factor 9*r + 12*r + 15*r**j + r**3 - r - 6*r**3.\nAnswer: -5*r*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 7*q + 1. Determine s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19029960 or 38059921\/2?\nAnswer: 38059921\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 3*b - 3*b)*(-3*b + 6*b - 2*b)*(4*b**2 - 6*b**2 + 3*b**2).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77.3199995913 + -77.32. What is w rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 6*x**2 - 10*x. Is n(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 97 = -8285*k + 8281*k, 0 = 3*l - 4*k - 57 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-2*1\/(-2))\/(8\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -2*c - 4, -5*c + 490 = 5*j + 440 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -16. Suppose -2*i = g - 35, -4*i + 64 = y*g + 9. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -1\/4, 3, 69, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + -2 - (11 + (-24 + 8 - -7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (32*r + 82*r - 116*r + 2 + 5*r**2)*(1 - 1 + 5)*(-1 + 0 - 1) to the form i + f*r**2 + s*r and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -2*i**2 - 24*i - 8. Let h be l(-7). Let q be h\/1 - (-1120)\/(-272). Which is the nearest to 0?  (a) q  (b) 3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-5*sqrt(204)*-6)\/sqrt(12) + 3)**2.\nAnswer: -1080*sqrt(17) + 550809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.96 - 0.96. Is -27\/5 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 336820 or 336873?\nAnswer: 336820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5242345463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2e8 - 2?\nAnswer: -2ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = -16*s + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-18) + (-5)\/15. Let w(f) be the third derivative of 3*f**2 + 0*f - 1\/120*f**4 + 1\/300*f**5 + g + 0*f**3. Factor w(t).\nAnswer: t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qfq when three letters picked without replacement from fqvqqqfvfffffqvqfffv?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*t + 2. Let m = -6.9 + 7. Do t and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -17*h**2 + 14*h + 11. Suppose 3*f + 0*f = -117. Let i = f + 35. Let c(j) = 6*j**2 - 5*j - 4. What is i*g(w) - 11*c(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -55053 (base 6) to base 2\nAnswer: -1110110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-316 - -319) + (70\/24)\/(-1). Which is the fifth biggest value?  (a) l  (b) -2\/7  (c) 3  (d) 3\/7  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*sqrt(104)*3 + 1*sqrt(104)*-5)\/(sqrt(88)\/(1*sqrt(11))*2).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 48\/47 or 0?\nAnswer: 48\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -140693 and 0.1913.\nAnswer: -140692.8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t = h + 90, 2*h = 6*h + 4*t - 5*t + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -7*m**2. Let s be 12\/(2\/(-1)) + (9 - 4). Let a(d) = -d**2. Calculate s*x(y) + 14*a(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (723*q - 263*q - 204*q + 836 - 262*q - 75)*(-2*q + 4*q - 3*q).\nAnswer: 6*q**2 - 761*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 13905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6242.7 + -6243. Let j be 1 - 3*(-8)\/(-42). What is the second smallest value in j, -8, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 42*h - 538. Determine l(12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -3416000 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 68243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12695981 rounded to the nearest one hundred thousand?\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 864609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 6*f**2 + f - 2. Let d be t(6). Suppose 0 = k + 3*k + 4*z - 36, 2*z = -d*k + 30. Let q be 84\/35*15\/6. Solve -3*g + q*g = -k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 989, 3831, 8575, 15275, 23985, 34759, 47651, 62715?\nAnswer: 80005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 9*s - 30. Which is the closest to 0.1?  (a) -0.1  (b) s  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 2 + (-2 - 2 + 3)*(4 - 3 + 0) + 3 - 2 + 0 - 1 - 2 + 0)*(-2*q + q + 3*q) in the form d*q + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide 27894048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1066)\/(-260) - (-7)\/140*(2 + -4). Solve -25*o = -q*b - 23*o + 16, 5*b + 4*o - 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8553633 - 8553633 + 28*k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 15, -0.7, -13, 0, 13?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/163, -2, 10849 in ascending order.\nAnswer: -2, -2\/163, 10849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -961, 12251, 5 in increasing order.\nAnswer: -961, 5, 12251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -703 = 135*c + 128*c + 2190 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.031 + -18.469. Let s = h + 19. Does 1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-5 - -6)) + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 + 3 + 0)*(2 - 2 + 1) - 2 - 9 + 2)*(0*h**2 - h**2 + 5*h**2) + (-4*h**2 - 4*h**2 + 6*h**2)*(-1 + 4 - 1) as d + k*h + f*h**2 and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22e8 (base 16) to base 13.\nAnswer: -40b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2 - 11*o - 5. Let c = 244 + -251. What is k(c)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4521928620 take away -3?\nAnswer: -4521928617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1620)*1)\/sqrt(9).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) -88386  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -9 + 0 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/1012656 and -69\/77130632.\nAnswer: 462783792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3.6934 tonnes?\nAnswer: 3693.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.12  (b) 2\/13  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t. Let m(o) = 19920*o**2 - o + 2. Calculate i(m(v)).\nAnswer: -19920*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = 4*d + 10, 5*t + 14 = -11 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*n + 3390 = 75*n. Suppose -2*l + n = 2*w, -3*w - 5*l + 1719 = -10*l. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9950 and 3184?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1403 and 55177?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-15)\/12 - -2)*152. Let z = k + -170. Is (-6)\/14 + (-6800)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -14 and 92651.\nAnswer: 92637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 0, -3, 2, 30 in ascending order.\nAnswer: -3, 0, 2, 26, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 658 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 13*a + 8. Does 37 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5362, -21391, -48106, -85507?\nAnswer: -133594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (-4 + 10) - (-422 + 409).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/9 - 8\/3. Let b(m) = m + 13. Let j be b(-9). Let n(r) = 0 + 7 + j*r - 7 - 8. Let v(x) = 2*x - 4. What is d*n(c) + 5*v(c)?\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 7\/21*(-12)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, m: 3, n: 4, i: 1, p: 2}. What is prob of picking 1 w, 2 n, and 1 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/3))**(2\/41))**(42\/5)*(g**(-2\/5))**(-7)\/(((g**0*g)\/g)\/g)**(2\/135) assuming g is positive.\nAnswer: g**(16336\/5535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 905, 883, 847, 797, 733?\n\"Answer: -7*i**2 - i + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 87, 244, 513, 894, 1387, 1992?\n\"Answer: 56*s**2 - 11*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 1:03 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*h**3 + 47*h - 47*h.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.911 - -166.811. Let w = 163 - t. Is w less than or equal to -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-14)*1134\/(-216)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**3\/6 + 3*x**2 + 4*x. Let v(f) = -f**2 - 9*f - 9. What is the least common multiple of q(-5) and v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l + 61. Calculate the remainder when i(-16) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 257253, 257269, 257287, 257307?\n\"Answer: c**2 + 13*c + 257239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (480704\/3684)\/28 + 42\/(-9).\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 236096 and 1190.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10768, -21534, -32300, -43066, -53832?\nAnswer: -64598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5023 by 42.\nAnswer: -5023\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lsr when three letters picked without replacement from ssrllls.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 1 + (-34)\/2. Let z = -12 - w. What is the lowest common multiple of 7 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -29\/8, 2\/17, 1\/10, -1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.1855048 rounded to 3 decimal places?\nAnswer: 79.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c - 12*c + 2 = 0. What is the third smallest value in -1, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -5221\/2*j**2 - 1 - 11*j. Let y be s(9). What is y rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p + 3*p - 2*p)*(14*p + 17*p - 17*p) to b + x*p + d*p**2 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.3502 - 0.9502. Which is the nearest to 0.3?  (a) h  (b) -0.1  (c) -0.7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 3:25 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49\/(-14) + 12\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 3:14 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 - (-22 + 14 - 11) - -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -97*k**3 + 3*k**2 + 2*k - 1. What is the remainder when u(-1) is divided by 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 176477 and 18823?\nAnswer: 474546653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -21*w**5\/5 + 7*w - 8. What is the derivative of r(s) wrt s?\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 + 63 = -6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1034*x**3 + 47*x + 1505*x**3 - 118*x + 71*x.\nAnswer: 471*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-8)\/t*(t*t**23)\/t)**(8\/9) assuming t is positive.\nAnswer: t**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*q*r**3*u**2 + 856*q + 4*r**3*u - 2*r**3 + r*u**2 wrt u.\nAnswer: 24*q*r**3*u + 4*r**3 + 2*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/285?  (a) 0  (b) -3  (c) 0.2  (d) -5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 4*v = -4. Let j be -1 - v - (-7 - 0). Let i be 21\/(-7)*7\/(-21). What is the greatest common divisor of i and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4772249229?\nAnswer: 3, 11, 773, 187081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kouhoulhoeehko. Give prob of picking 1 l and 3 h.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -310 - 396*u**3 + 310 - 6*u**2 + 129*u**3 + 144*u**2 wrt u.\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -122 - -136. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -11*t**3 + t**2 - t + 1. Let b be f(1). What are the prime factors of (b\/(-6))\/(10\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 1 + 3. Suppose -5*i + 10 = 2*k, 0*k + c*k + 2*i = 4. Suppose -4*q - 11 + 59 = k. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(1700)*3 + sqrt(272) + -4 + 4.\nAnswer: 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r. Let s be (480\/(-70) - -10)\/(2\/14). Let a(k) = 28*k**2 + 37 + 23*k**2 - 70*k**2 + s*k**2. Calculate f(a(o)).\nAnswer: 3*o**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-99)\/(-45) + 18\/(-90). Solve -6*h + 3*b + 4 = -4*h, -2*b = -m*h + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**3\/5 - 3052*q**2\/5 + 39338*q\/5 = 0 for q.\nAnswer: 0, 13, 1513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -p**6\/120 - 3*p**5\/10 - 3*p**4\/4 - 2*p**3\/3 - 9*p**2. What is the remainder when g(-17) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-60)\/72*-2*(-2)\/(-2). Sort 7, -4, m, 1.\nAnswer: -4, 1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -10*s + 5*s. Let y be (-20)\/5 + 4 - s. Suppose 0 = -y*o - 2*p + 22, -5 = -0*p - p. What is the remainder when 17 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -61*q**3 - 20*q - 3710. Let m(j) = -62*j**3 - 19*j - 3711. Let i(o) = 6*g(o) - 7*m(o). What is the first derivative of i(s) wrt s?\nAnswer: 204*s**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -0*l + 9. Suppose 5*i - 43 = 4*r, -l*i - 2*r + 4 = -13. Suppose 23 = 8*s - 89. What is the greatest common factor of s and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41 - -58. Find the common denominator of ((-11)\/20)\/((-2)\/44) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1043261 (base 7) in base 16?\nAnswer: -1f5a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 25 and -221120 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 + -36379?\nAnswer: -36386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let b be (18\/(-27))\/((-3)\/9). What is the second derivative of -4*z**3 + 761*z**2 + z + 5*z**3 + b*z - 7 - 770*z**2 wrt z?\nAnswer: 6*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-144)\/4416)\/((-81)\/27*1\/8).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -169 - -168. Let v = 0 - -0.2. Which is the smallest value?  (a) x  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2680231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1279 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 37*f**3*g**2*t**3 + 130895*f**3*g*t**3 - 2*f**2*g*t - 43*f*g**2*t**3 + 672*f*g*t + 30*f*t**3 + 2*g wrt f.\nAnswer: 222*g**2*t**3 + 785370*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*y = 52*y + 141. Suppose 2*v = v + 4*s + y, 0 = -2*v + 2*s + 118. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 8:29 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -394 + 444. Suppose f*l = 48*l + 2. What is the second biggest value in l, -1\/6, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 - (304\/1 + -1). What is the common denominator of t\/75 + 0\/1 and (2778\/54)\/((-240)\/(-18)) - (-2)\/(-5)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*y + 280 = 0, n - 560 = -3*n - 5*y. Suppose -n = -5*g + g. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12361 divided by -12361\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -56409, -112818, -169227?\n\"Answer: -56409*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, t: 7}. What is prob of picking 4 t?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4077, -4078, -4081, -4086, -4093, -4102?\nAnswer: -4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -1)\/(-12) + (209040\/(-288))\/67.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 337630 and 200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 plus -6918?\nAnswer: -6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)\/(sqrt(6)\/sqrt(3)) + (sqrt(18) - (sqrt(18) + sqrt(72)\/sqrt(4))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17058 - 17054. Let r(z) = z**2 - 8*z + 3. Let k be r(6). Let q be (-1)\/(-3)*k\/(-15). What is the third smallest value in 0.1, -1, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 430553521 (base 6) to base 11.\nAnswer: 4324398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 13) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2869 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -47*g**2*o**2 - 2*g**2 - 133*o**2 + 1 wrt g?\nAnswer: -94*g*o**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8841.\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3\/11  (b) -104  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -6*a**3 - 2*a**2 - a. Let c be p(-1). Solve -c*t + 1 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 33.25125103 to 0 decimal places.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1493867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zazf when four letters picked without replacement from zzazfzzfa?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001 + 101010?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 6*b**3 - 5*b**2 + 4*b - 1. Suppose -131 = 55*z - 296. Let p(l) = 5*l**3 - 4*l**2 + 3*l - 1. What is z*n(y) - 4*p(y)?\nAnswer: -2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -481*p**5\/5 + p**2\/2 + 526*p - 129. What is the first derivative of h(y) wrt y?\nAnswer: -1924*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 332999804867?\nAnswer: 332999804862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34 - -72. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -175*s**2*y - 17*s**2 - 2*s*y - 37732*s + 38797*y + 31 with respect to y.\nAnswer: -175*s**2 - 2*s + 38797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -85 - -120. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -81 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1080.64 rounded to 0 dps?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 59435 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**2 + 7*a**2 + 9*a**2 - 6*a**2 in the form q*a**2 + h*a + m and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*t**2 - 119*t**3 - 2 - 5 + 58*t**3 - 12*t + 57*t**3 + 6 to j*t**2 + i*t**3 + l + z*t and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of j**2\/2 + j - 2. Let b(n) = -17 + 28 - 3 + 20*n - 22*n - 2 - 4. Give -2*b(d) + 4*r(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 16. Let n be c\/6 - 26463\/198. Let x = n + 134. Sort x, -3, 3\/4 in decreasing order.\nAnswer: 3\/4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/8 in -0.2, -0.9, -133?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2724262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47740 is divided by 9546.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -323 - 51*d + 620 + d**2 + 59*d + 102*d wrt d.\nAnswer: 2*d + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-7 + 5 - 2 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.125+-11502\nAnswer: -11502.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9795*p + 749197 - 749197 to s + n*p and give n.\nAnswer: 9795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 86 = 5*m - 77, -2*m + 68 = h. Suppose -j - 4*o = -2, -4*j = -2*o + 4*o + 6. Is (-46)\/3*m\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -9.1\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 34510, 34524, 34538, 34552?\n\"Answer: 14*j + 34496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h. Let m(s) = 12*s + 5. Let n(a) = -30*a - 12. Let o(w) = -12*m(w) - 5*n(w). Determine o(v(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 5 - (107 + -107) - (7 + -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -831*t + 52224 = -454*t + 14524 for t.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*q - 111, 14*t = -3*q + 11*t + 87. What is the highest common factor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*r + 268*r = 520 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 0. Suppose a*k - 14 = 34. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (64*m + 147*m - 128*m - 8)*((2*m + 2*m - 2*m)*(0 + 2 + 0) + 2*m - 2*m - 2*m).\nAnswer: 166*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of z**4\/6 - 174*z + 42. Let x(v) be the first derivative of l(v). Let r(t) = 3*t - 3*t - 70*t**2. What is x(r(w))?\nAnswer: 9800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -59, -5, 2 in ascending order.\nAnswer: -59, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**5 + 718*n**4 + 12838*n**3 - 27838*n**2 + 14280*n = 0. Calculate n.\nAnswer: -340, -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*m**4 - 6980*m**3 - 30578*m?\nAnswer: 36*m**2 - 41880*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2010 + 4895 = 3*y, 0 = p + 3*y + 3475. Let n = p - -5111. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, q: 1, s: 2, g: 1}. What is prob of sequence ygyq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, z: 4, k: 5, y: 1, b: 1, w: 1}. Give prob of sequence bzz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4775 - -17386. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 21*c - 2. Determine o(4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2511 - 7680. Let x = -7054 - l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 5:31 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1485\/(-1404))\/55*-26\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 2)*((0*z + 0*z + 2*z**2)*(2*z + 1 - 1) + 8*z**3 - 3*z**3 - z**3 + 2*z**3 - z**3 + 2*z**3) to g*z**3 + i*z + p + u*z**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 49\/2*96\/(-56). Let s be 14\/d + 1\/3. Let q be 1\/(4\/40 - s). Solve 0 = -5*a + 4*t - q - 15, -3*a - 2*t = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/p**(-2\/25)*p*p)\/p)\/((p**3*p*p)\/p)*p\/(p*p*p**(-7)*p)*p*p*((p\/(p*p**(-3\/4)))\/p*p)\/p assuming p is positive.\nAnswer: p**(583\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13278563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 6*s - s - 526 = 0, -4*s - 712 = -4*t. Find the first derivative of t - 167 + 0*d**2 + 0*d**2 - 37*d**3 wrt d.\nAnswer: -111*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -789065232*s**2 - 789065222*s**2 + 1578130458*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 104*j**2 + 123*j - 1881. What is the lowest common multiple of 637 and a(105)?\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3475.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = d + a, -d = -8*a + 13*a + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 10*n. Let y(l) = -196*l - 6 - 107*l + 303*l - 9*l**2. Calculate k(y(f)).\nAnswer: -90*f**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1007276707 + -263.\nAnswer: 1007276444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -363 divided by 37234\nAnswer: -363\/37234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lltm when four letters picked without replacement from {l: 11, t: 1, i: 4, m: 3}?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.92 - 3.72. Sort -4, -8, 0, o in descending order.\nAnswer: o, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27921 and 2724?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 2 + 2 - 33240617*z**2 - 33240589*z**2 - 3 + 66481242*z**2.\nAnswer: 36*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 3*d - 18, -11*d + 6*d = -2*w + 5. Let i(p) = p - 10. Give i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*g**2 + 8*g**2 + 10*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -88492000 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*s**2 - 4368*s - 33124 = 0. Calculate s.\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kmii when four letters picked without replacement from {k: 4, y: 1, s: 2, i: 3, m: 2, u: 2}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c. Let v(r) = 25*r**2 - 4309. Determine n(v(d)).\nAnswer: -25*d**2 + 4309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2784 - 723 - 599 + 1014 + y + 2218 to the form i + w*y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-10) + (-59)\/5. Let h be 6\/8 + 9\/k. Suppose -4*i = -h*i - 96. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w**4 - 25770*w**3 - 205795*w**2 + 231570*w = 0. What is w?\nAnswer: -5146, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 bigger than 38562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 293 + -236 - (9 + -39 - 4).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.37 + -1.199. Let l = -0.170993005 + v. Round l to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -4353773\nAnswer: 1306131.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*1)\/sqrt(10))**2 + sqrt(55)\/sqrt(5)*-6 + 2 + (0 + 1*sqrt(275) + -2)**2.\nAnswer: -26*sqrt(11) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2 - 5*o + 11. Suppose -3*c = -2*c + 7. Let v(u) = -u**2 - 2*u + 5. Let x(a) = c*v(a) + 3*k(a). Let z be x(2). Solve z = 4*n - 1 + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + y - 6455 = 0, -2*r + 6464 = -4*y + 8*y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l - 4. Let q(y) = 1. Let p(w) = n(w) + 4*q(w). Let v(t) = 15*t + 3. Give p(v(k)).\nAnswer: -30*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*(g*g**(3\/16))\/g)\/g)\/g)\/g**(-12\/7))\/(g**(-3)\/g**(3\/7)) assuming g is positive.\nAnswer: g**(485\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of 25*u**4\/12 - 5*u**3\/2 - 5*u**2 + 58*u + 6. Let i(k) be the first derivative of w(k). Factor i(n).\nAnswer: 5*(n - 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 - 10 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-6)*216\/(-360)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -976.9 + 977. Let l = -4 + 0. What is the third biggest value in g, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -352 - -498. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 27*h**2 + 11*h - 200. Is 104 a factor of u(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5088.7645 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -10, 39, 82, 119?\n\"Answer: -3*o**2 + 58*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 11 - (92 + -60)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -3  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g - 74. Let u(v) = 2*v - 75. Give 4*f(t) - 5*u(t).\nAnswer: 2*t + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 39662, 76753, 113844, 150935, 188026, 225117?\n\"Answer: 37091*r + 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 486\/5 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*6\/15*310 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**6\/120 + 11*w**5\/20 - 23*w**4\/8 + 25*w**3\/2 - 4*w**2 - 5*w. Calculate the remainder when 518 is divided by s(-35).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**2 - 217*p + 64*p + 78*p - 2*p**2 + 71*p.\nAnswer: -p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, j: 2, g: 1, p: 5, w: 2, a: 2}. What is prob of picking 1 a, 1 p, and 1 j?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (36\/126)\/((-1)\/(-119)). Suppose m*u + 36 = 38*u. Suppose 3*z + 16 = a, -7*z - 25 = -2*z. Calculate the greatest common divisor of u and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1944 and 24?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15969249.\nAnswer: 3, 67, 71, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 4, -3 in ascending order.\nAnswer: -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*q - 59*k + 60*k, -k = 6*q + 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3401912837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/15*q**3 + 138*q - 648\/5 - 128\/15*q**2 = 0 for q.\nAnswer: 1, 27, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -40, -57?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26 + 19 - 11 - 7*p + 7 + 2*p to the form f + a*p and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - h + 7 = 0, 8 = s + s - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 38*u**2 + 3*u + 3. Give z(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 26 = 4*s, -2*s - 2*w = s - 11. Suppose 0*v = v - 3*k - 16, 0 = -s*k - 20. Solve 3*j - 1 = -v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c. Let g be f(5). Suppose g*z - 14 = 6. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 m when four letters picked without replacement from {p: 2, x: 7, r: 2, u: 4, m: 4, f: 1}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 377*r**2 + 800*r. Let t(c) = -187*c**2 - 399*c. Let z(q) = -4*n(q) - 9*t(q). Find the second derivative of z(u) wrt u.\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -938, 37.31, 49 in ascending order.\nAnswer: -938, 37.31, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from fzhaaivahhvz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 10*l**2 + 14*l - 48. What is the least common multiple of 48 and w(-12)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*-4*1*1. What is the least common multiple of 8 and (-18)\/(-12) - 66\/w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6818\/2435)\/((-64)\/3040).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 6:51 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 213192186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 + 80 - 28)*(-v + v + 2*v)*(-22*v - 157 + 157).\nAnswer: -1320*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63 + 67. Let k(i) be the second derivative of 1\/12*i**3 + 0*i**2 - 1\/48*i**o - 3*i + 0. Factor k(w).\nAnswer: -w*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-11)*y**(4\/3)*y*((y*(y\/(y\/(y\/y**(-3\/7))))\/y)\/y)**(-7\/3) assuming y is positive.\nAnswer: y**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**2 - 68325*u + 8998780.\nAnswer: 5*(u - 13532)*(u - 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 4)*(2*z - 3*z + 2*z) - 11*z - 4*z - 25*z - 3*z - z + 6*z.\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -682, -703, -738, -787, -850, -927?\n\"Answer: -7*v**2 - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27\/6)\/(-1*4\/8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 832*d**2 + 36*d + 87. Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 27837295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 17*y - 4. Let h(k) = 2*k**2 - 13*k + 2. Let b(m) = 4*h(m) + 3*s(m). Determine b(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**2*f*r - 130*b**2*f*y + b**2*y**3 + 2*b**2 + 3*b*f*y**3 + 2*b*r + 2*f*r - 2*f*y - r*y**3 wrt b.\nAnswer: 4*f*r - 260*f*y + 2*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(3\/(-1) + 2). Let g = r + 12. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.5  (b) -62  (c) -19.4  (d) 5  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**2 - 2709*x - 2708 = 0 for x.\nAnswer: -2708, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -225797 minus 0.5?\nAnswer: -225797.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -86*y + 233*y - 70*y - 64*y + 2. Let h(c) = -12*c - 2. Give -4*h(v) - 3*l(v).\nAnswer: 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 9*x**2 - 8*x - 11. What is n(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, b: 1, u: 1, h: 1, a: 1, f: 1}. What is prob of sequence ahbf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26133*b = 26148*b + m + 50, -3*m - 60 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.1, -5, -895, -3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3179267550.\nAnswer: 2, 3, 5, 37, 63649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222 = -5*u - 5*w + 33, 2*w - 153 = -3*u. What is the remainder when 252 is divided by u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/10)\/(6\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7304.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - 3. Let j(s) = 3*s + 11. Let p be j(-4). Let v be (-38)\/z - (42\/36 + p). Solve -v*d - 13 = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33*n**2*r**2*v + 18*n**2*v - n*r**2*v + 3*n - 2*r**2*v - 62*r**2 wrt n.\nAnswer: 66*r**2*v + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -25\/3, -3, 1, 3, 1\/33.\nAnswer: -25\/3, -3, 1\/33, 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) -1\/6  (b) 0.4  (c) 2\/299  (d) 2\/10523\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f + 14, -63 = -5*z + 4*f - 41 - 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -177 in 12\/7, -2, 0, 61?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4*z + 62 = -0*r, 4*r + 5*z = 46. Suppose 0*g - 4*p + r = g, -5*g + 5*p - 5 = 0. Is g at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.4696 times 0.39\nAnswer: 2.523144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*y + 56*y + 8498 = -3*d, 2 = -d. What are the prime factors of y?\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g - 19*g - 3*g + 15*g + 11*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-5 + 17 + (22 - 21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l + 3*l + 4*l. Let m(x) = -897*x. Let h(j) = -14*j. Let y(s) = -65*h(s) + m(s). What is 6*i(w) - 5*y(w)?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -51.04 - -53. Let w = g + 0.04. Let x = w + 3. Put -1, x, -1\/7 in descending order.\nAnswer: x, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2 - 17*s + 1 - 18*s + 5*s. Is v(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -4*c + 2 + 33, 3*c + 4*h - 12 = 0. Suppose 2*s - 60 + 12 = 0. What is the highest common factor of c and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3827 - 1220 = 129*a - 6570 + 663 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -88 + (2 - (-3)\/(-1)). Let i = j + 243. Suppose -5*b - 3*n = -235, i = 3*b + 2*n + 13. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -494b6 - -21?\nAnswer: -49495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**4 - d**4 + 2*d**4 + 320*d**4 - 216*d**4 - 180*d**4 + (-5*d**4 + 2*d**4 + 2*d**4)*(-4 + 4 - 2) - 3*d**4 - 3*d**4 + 3*d**4.\nAnswer: -76*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 4*a - 6. Determine r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 8235*m. Let k(i) = -7*i**2 - 2*i. Determine d(k(a)).\nAnswer: -57645*a**2 - 16470*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.00397132 and 0.3.\nAnswer: 0.001191396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -5*f + 15453, 4219*f - 4220*f = -2*s + 7751. What is the greatest common factor of s and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10493281\/6057912 + 2\/108177. Find the common denominator of q and 4 - -3*(-70)\/144.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2622*g + 691*g - 1615*g - 1492*g to the form r + z*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0298 - -370.0298. Let m = -375 + a. What is the third biggest value in 0.2, m, 2\/25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 18*i**2 - 16*i - 14. Let g be b(17). Suppose w - 9 = l, 0*w - l + 35 = g*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4399398 is divided by 2199696.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -33 - 55\/315*-7. Suppose -4*t + 5*g - 112 = 0, 0*t - 5*t - 149 = -4*g. Are b and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 2*d**3\/3 + 2*d**2 - 3*d + 2. What is the remainder when x(2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 1. Let f be q(9). What is the tens digit of (-2)\/(-1*2\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -9 + 3. Suppose q*w = 4*w - 20. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15735 and 11595?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(5\/3)\/u*u*u**(7\/4))\/(u**(1\/6)*u\/(u\/((u*u**(-1\/4))\/u))) assuming u is positive.\nAnswer: u**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 611283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 8*j**2 + 8*j - 6. Let q be s(9). Let v = q - -12. Calculate the remainder when 22 is divided by v\/(-6) - 44\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1883 (base 9) to base 15\nAnswer: 66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 626849 (base 10) to base 3\nAnswer: 1011211212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1378 and 511927.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 6:37 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 5*y**2 + 43*y + 13. Suppose 0*j = j - 11. What is the remainder when i(-9) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/(-5))\/1 - -104. Let h = -102 + d. Suppose h*c = 69 + 39. What is the greatest common factor of c and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 4 = 2*q - z, -3*q + 3*z = -3. Let f = 10 + -6. What is the lowest common multiple of q and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (3*sqrt(2)*6 - sqrt(2)) - (sqrt(2) + sqrt(14)\/sqrt(7))*3)**2 + 0.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 134726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 240\/11 - 30\/(-165). Let a be 6\/(-9) + (2 - n\/(-6)). What is the second derivative of 13*t**4 + 6*t**5 - 13*t**4 - 20*t**a - 9*t wrt t?\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 178 - 158. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9729 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 325392 and 759248?\nAnswer: 2277744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*-2 + (-423)\/(-6). Let c(n) = -n**3 - 6*n**2 - 4*n - 10. Let a be c(-7). Let f = a - q. Put -3\/5, -2\/3, f in decreasing order.\nAnswer: -3\/5, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-1\/12)*k**22 assuming k is positive.\nAnswer: k**(263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = 36*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -9711.69 times -2.5\nAnswer: 24279.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.07  (b) 7  (c) -2  (d) -5\/72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -262508*n**4 + n**2 - 86184 wrt n?\nAnswer: -6300192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 3*d - 2148, 37*d + 3*w + 1449 = 39*d. What is the highest common divisor of 416 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 692965120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2196 is divided by 536.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of 3*y**2 + 5*y - 7. Differentiate h(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 10:20 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.6*-0.03\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 468 and 605618.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4886461445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171*b + 45*b - 65*b.\nAnswer: 151*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 34 = -3*y, 37*y - 39*y - a + 8 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -6. Let b(j) = -j**2 - 7. Let s(i) = i**3 - 11*i**2 + i - 15. Let u be s(11). Let v(p) = u*y(p) + 3*b(p). Find the first derivative of v(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -3*r + 1, 34 = -3*r + 3536*x - 3541*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 - (3\/(-1) + -9) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 9:17 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36653457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 420278456 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 1. Let g be y(-1). Suppose 3*u - 81 = 3*s, 2*s + g*s + 12 = u. Suppose 2*a = 4*a + 4*r - 14, -u = -3*a + 5*r. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of -29*u**4\/24 - 20*u**3\/3 - 11*u**2 + 3. Let g(z) = 70*z**2. Calculate the remainder when g(-2) is divided by f(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 601 and 1469445.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.029 + -0.619. Round b to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 290 = b. Let w be (-4)\/6 + 1198\/(-21). Let t = b + w. Do -1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1673266287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/50  (b) 1  (c) 4  (d) 0.3  (e) 3\/5  (f) 118\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14206121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 6*h - 10. Let b be j(8). Let l be (-1)\/b + (-185)\/(-30). Let g be 4\/(-3)*36\/(-8). Are g and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 458026 and 145?\nAnswer: 2290130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 10*o**2 - 25*o - 5. Let q be c(-6). Solve -3*j = -3*f - 6, q = 2*f - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 5256108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t**2 - 21*t + 2*t**3 - 4 + 24*t + 2)*(-4*t + 4*t - 6*t) to g*t**2 + x*t + q*t**4 + u*t**3 + w and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-18))\/(136 + -154 + (-5505)\/(-306)).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - -7) + (-32 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000252182577 to 6 decimal places.\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -49 - -57. Solve 0 = 6*f - 2*f + n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one sixths of a day in hours?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 54\/(-36)*(-8)\/(-6). Let k be (-4)\/(-6) + 8\/(-3). Let i = u - k. Solve i*o + 20 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of -f**4\/12 - 6*f. Let x(t) = -3*t + 0 + 0. Calculate n(x(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*w*z**3 + w*z + 373*z**4 + 877*z - 2 wrt z.\nAnswer: -24*w*z + 4476*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 211382758 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 1. Let b(s) be the third derivative of -s**4\/24 - s**3\/6 - 2*s**2. Suppose -44 - 16 = 20*l. Give l*d(h) - 3*b(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2017362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of -m**4\/4 - 8*m**3\/3 - 9*m**2\/2 - 11*m + 159. Determine z(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 74643, 298560, 671755, 1194228, 1865979, 2687008, 3657315?\nAnswer: 4776900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10 - (2 + (-12)\/2). Suppose -2*v = -5*o - t, -3*o = -3*v - 0*v + 30. Let l be v\/5 - 2 - (-130)\/50. Solve 3*c - 3 = -2*g + l, -5*g + 3*c + 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 2\/882272491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 404 and 1209778?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 at most 5350640\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14416 and 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*j + 1014 + 734 = 0 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 692, 694, 696, 698, 700?\n\"Answer: 2*t + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 - 8*h**2 + h - 6. Let r be s(-8). Suppose 0 = -7*c + 10*c - 6. What is the units digit of 17\/c*r\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19903, 19914, 19937, 19978, 20043, 20138, 20269?\nAnswer: 20442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -2) + -8 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p**3 - 12*p**2 - 40*p + 28. Let n(j) = -4*j**3 + 11*j**2 + 40*j - 28. Let i(c) = 2*n(c) + 3*v(c). List the prime factors of i(17).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x = -14*x - 33. Suppose -16*m + x*m = -65. Suppose 33 = -m*z + 2607. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -9. Let x = 5 - 9. Let m be (-24)\/(-252) + 4\/(-6). Sort x, m, g in descending order.\nAnswer: g, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -100111011001?\nAnswer: 100111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**2 + 89*b - 317. Let h be g(-49). Suppose -371 - 69 = 4*f. Let k = h + f. What is the lowest common multiple of 8 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -10*b**2 + 1202*b - 283. What is f(120)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*q - 75 + 315 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-3))\/(15 + 4655\/(-228))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**2\/5 + 535204*d + 2676018\/5 = 0.\nAnswer: -1338009, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (75*o**3 - 47*o**3 - 31*o**3 - 27*o**3)*(19 - 1 + 2).\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -69685590 by -1786810.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of -f**5\/12 - f**3 + 18*f**2. Differentiate k(v) with respect to v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011 divided by 337\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 + 25. Let u be (0 + 88\/l)*(-2400)\/64. What is the greatest common divisor of 50 and u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 91. Let i = u + 77.999836. Round i to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 3)*(-1 + 0 + 2)*(3 - c - 3).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -5*(-1)\/15*609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.1 + -0.1. Let x = -12.67 - 0.33. Let v = x + j. What is the smallest value in v, -4, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*x**2 + 53*x**2 + 97*x**2 as k*x**2 + b + p*x and give k.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -59*x + 29. Suppose 2*j + 78 = 70. What are the prime factors of l(j)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k**3 - 6*k**2 + 4. Let r = 195 - 191. Let o(p) = -3*p + 3*p + 7*p**3 - 9 + 13*p**2. Give r*o(h) + 9*y(h).\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 1:32 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 0 + (-5 - -3). Suppose -m = -4 - f. Let j(o) = -m*o**2 - 5*o - 5 - 6 - 12*o**2 - 6*o. Let d(g) = -8*g**2 - 5*g - 5. Determine -13*d(l) + 6*j(l).\nAnswer: 2*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1798 - -1805. What is the remainder when 344 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513*h + 691*h = -534 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m - 5. Let s(v) = 1. Let p(l) be the third derivative of l**6\/120 - l**5\/12 - l**4\/3 + 7*l**3\/6 + 18*l**2. Let g be p(6). Give g*s(o) - q(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 8.1. What is the smallest value in 1\/8, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 480176, 479993, 479686, 479255, 478700?\nAnswer: 478021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 60*x**2 - 234*x + 18. Let j be d(11). What is the greatest common divisor of 96 and j?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 59 - -345. What is the highest common divisor of n and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1451 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*b + 10*b - 13*b + 4*b - 4*b - b + (-6*b - b + 2*b)*(-1 + 0 + 0) + 2*b - 4*b + 2 + b + b - 3*b + 3*b as m + r*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2736, -2781, -2826, -2871, -2916, -2961?\n\"Answer: -45*w - 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 47888129974.\nAnswer: -47888129973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 87*g**3 + 16586022*g**2 - 1143864*g.\nAnswer: 3*g*(g + 190644)*(29*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3116572 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 5:13 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**3 - 3*f**2 - 2*f + 4. Let i be b(3). Let l = -37 + i. Solve 2*u + l = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -920555, -920549, -920535, -920513, -920483, -920445?\nAnswer: -920399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nna. What is prob of sequence nn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1482448 is divided by 211776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jiji when four letters picked without replacement from {i: 12, j: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 382088 greater than or equal to 382085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 42*b**2 + 57*b + 24. Does 36 divide t(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -195\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4200692 by 2100346.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3827 + 3827. What is the biggest value in 329, r, -1\/2?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 21*c. Let d(m) = m + 2. Let z(f) = 3*f + 5. Let r(q) = -10*d(q) + 4*z(q). Calculate r(l(i)).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 77063929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k**4 - 2*k**4 - 3*k**4)*(-788 - 1108 - 1592) + (-3 + 3 - k**3)*(k + k - 5*k) to the form w*k + t*k**4 + m*k**2 + g*k**3 + z and give t.\nAnswer: 10467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**2 - 2*y**2 - 6*y**2 - y**2 - 1.\nAnswer: -7*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uwk when three letters picked without replacement from kujkujkkxuxxjkxwkwwj?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -513.86964059 take away -0.4?\nAnswer: -513.46964059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-2))\/((-6)\/8). Let t(x) = -3*x - 3. Let n(g) = -3*g - 2. Let p = -69063 + 69060. What is c*t(y) + p*n(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-4)\/(-28)) - 364\/(-17388)*-333?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 447 divided by 149.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 7:46 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.8, 0.7, -0.6134, -26\/3, -1\/2 in ascending order.\nAnswer: -26\/3, -0.6134, -1\/2, 0.7, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37701 by -2.\nAnswer: 37701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 4*x - 26, -8*j = -4*x - 9*j + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -21. Solve -2 = -3*q + 5*s, b - 4 = -2*q + s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*i - 74*i + 149*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (7*1)\/(((-384)\/2688)\/(3\/126*6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 62?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 39275, 78548, 117813, 157070?\n\"Answer: -4*v**2 + 39285*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1076375 is divided by 184?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + -22721.108909?\nAnswer: -22721.008909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 87 + 138. Suppose 5*a = -v - 15. Let k be (a - -22)\/(2\/1). Solve -3*r - 5*z - 10 = -8*r, k*z + 10 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/12)\/((-2)\/3) + 139 + -118\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 252331 and 24.\nAnswer: 6055944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 4*u = -5, 36*y = 37*y - 2*u + 5 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 + 10. Let p = -18 - l. What is the third smallest value in p, -1.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3120 (base 6) to base 12\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0967 * 1.\nAnswer: 0.0967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 536444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 468378507 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 0.5, 3691 in descending order.\nAnswer: 3691, 4, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.61 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3268 + -372. Let l = k - -5318. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13\/3 + (-4)\/(-6). Let b be 6\/(-4)*(-4 - -2). Find the second derivative of -3*d**4 - 8*d + d**5 + b*d**4 + m*d wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64796 divided by 483\nAnswer: 64796\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = n + 4*d, 0 = 4*n - 0*n - 4*d. Suppose -3*f + 338 = -2*i, 0*i = -3*f - n*i + 333. Calculate the greatest common divisor of 63 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2279*m - 249*m + 10014 - 7577 = 51157 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3*g = -6*g. Factor g*j + 3*j**2 - 12*j**2 + 12*j + 6 + 3*j.\nAnswer: -3*(j - 2)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 - 2*b - 4. Let t(y) = 3*y**2 - y - 5. Let z(m) = -3*t(m) + 4*u(m). What is z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*2\/(-4 - -5). Let n be 20\/y*(4\/10 + -1). Let x = -12 + 16. Solve 2*t = x + n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q - 6. Let u(i) = -13*i - 15. Let m(n) = -3*u(n) + 8*z(n). Let h(c) = 2*c + 10. Let y(j) = -4*j + 2. Let s be y(3). Calculate s*m(t) - 3*h(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/11 - 13526*b**2\/11 + 22862320*b\/11 + 22875848\/11.\nAnswer: 2*(b - 3382)**2*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of 7*w**2 - 3*w + 24. Differentiate c(r) wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2482256 divided by 44326.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 + 3*x - 1. Let z be h(-2). Which is the closest to z?  (a) 5\/3  (b) 5  (c) -0.2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 500785317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1126 - 938. What is the greatest common divisor of p and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*b**2 - 970 + 2913 + 13*b - 963 - 979 to y*b + h + a*b**2 and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -17*u**4\/12 + u**3\/3 + u**2\/2 - 2*u. Let b be 4 + 4\/(-4) - -4. Suppose 2*i = b*i + 5. Give y(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by 33?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78926, -78934, -78946, -78962, -78982, -79006?\nAnswer: -79034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in -31, 132, 244, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 207, 433, 661, 891, 1123, 1357?\n\"Answer: n**2 + 223*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of 2*n**7\/63 + n**6\/360 + n**5\/120 + n**4\/12 - 3*n. Let d(z) be the third derivative of k(z). Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -312, -641, -986, -1347?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 3*d + 3*a, 0 = 31*d - 32*d - 5*a + 56 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3\/2  (b) 7\/54  (c) -1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 5*x + 6705, 9*s - 4*s - 3*x - 6695 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 546486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -85, 7, -8546 in increasing order.\nAnswer: -8546, -85, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -186, 0, 62 in ascending order.\nAnswer: -186, -3, 0, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -f**3 + 0 + 3\/2*f**2 + 2*f + 1\/12*f**4. Determine c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -6. Let r be 8 + (-2695)\/(-44) + -11. Let n = 1643\/28 - r. Which is the third smallest value?  (a) k  (b) n  (c) 3\/4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -80*i**3 + 5*i**2 - 5. Let t(s) be the third derivative of s**6\/3 - s**5\/30 + s**3\/3 - 3072*s**2. What is -5*t(r) - 2*u(r)?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/((-18)\/(-4))*114. Let s = 143 - j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(95) - sqrt(95)*2)*-5*-2*3)\/((sqrt(40) + sqrt(320)\/(1*sqrt(8)) - sqrt(40))\/sqrt(8) - (sqrt(5) + 2*sqrt(5))*1*-4).\nAnswer: 30*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 18147\nAnswer: -1\/18147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of 2*b**5\/75 + b**4\/60 - 9*b**2. Factor z(j).\nAnswer: 2*j*(4*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 340 - 346. Suppose 4*h + 44 - 391 = 3*z, -h + 117 = -z. Let o = z + 845\/7. Which is the closest to o?  (a) 0.3  (b) i  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-2)*2\/(8\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*m**2 + 7*m**2 - 67*m**4 + 36*m**4 wrt m.\nAnswer: -744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**4\/3 + 12*a**3 - 32*a**2 - 1280*a\/3 + 2048.\nAnswer: -2*(a - 8)**3*(a + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 8:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31562526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tjyljjjyt. Give prob of sequence yljj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.162, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 981 = 1401. Find the common denominator of 0 + (154\/24 - -1) and (-30)\/12*16\/y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 5*b - 1. Let y be g(5). Let p be y\/(2\/(6*-1)). Suppose q - 4*s + 52 = 6*q, -p*q + 4*s = -44. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11  (b) 3\/22  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15734 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*b**2 + 61733*b - 30776*b - 30957*b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 703291823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 438 - 436. Suppose 4*f - 24 - 24 = 0. Suppose 58 + f = 5*d. What is the greatest common divisor of b and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3 - 1 - 4 - 6*g**2 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17205187*d**5 - 22505349*d**2?\nAnswer: -1032311220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3026604 and 1052?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 0 + -2*(sqrt(448) + -2).\nAnswer: -16*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2000*(11 + (2 - 4) - 1*-3524). What is q rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9204360*u**2 + 18408598*u**2 - 9204236*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 140 = k. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide (-1110)\/(-4)*(16\/10 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - (1 - 3)) + 329 + -332\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -520 - -535. Suppose -19*c + m*c = -576. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -332 + 377. Factor 69*p + 3*p**3 + n - 9*p**2 - 26*p**2 + 62*p**2.\nAnswer: 3*(p + 1)*(p + 3)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44575670 divided by -6\nAnswer: -22287835\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -229 smaller than -229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -c - 0*c. Let l be ((0 + c)*(3 - 4))\/2. Let y = 3 - -1. Solve y*i + l*i + 5*u + 5 = 0, -4*u + 37 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/38331 and -28\/142323003.\nAnswer: 142323003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 109 = -38. Let s = -35 - y. What are the prime factors of (2 + -23)*s\/49?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**4\/12 - w**3\/2 + 88*w**2 - 3*w. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 884 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**5 - 542*t**4 + 99340*t**3 - 6408712*t**2 + 46638848*t - 90236032.\nAnswer: (t - 178)**3*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -174740 divided by 87370?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 3 - (-10 - -20)) + -10 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*-1*(4\/(-16) + -1). Solve i*g - 1 = -11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.03 and 166.924.\nAnswer: 5.00772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -15*z - 1. Let y(n) = -n**2 + 6*n - 1. What is the remainder when s(-1) is divided by y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143211.7 meters to millimeters.\nAnswer: 143211700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12236 - 146933\/12. Let l = -4939\/712 - -11\/178. Calculate the common denominator of l and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 9) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**7\/630 - w**6\/180 - w**5\/9 - w**4\/3 - 3*w**2 + 59. Find a, given that i(a) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 + 21.8. Let b = 22.00000009 - s. Round b to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55517 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 c, 1 n, and 1 m when four letters picked without replacement from {z: 3, e: 2, n: 1, m: 2, c: 4}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -12 + ((6 - -3) + -17 + 134 - (-72 + 65))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -531*d + 103*d = 412*d - 4200 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 119 + -105 + 62 - 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d*d**(3\/5)*d))\/d*d)**28 assuming d is positive.\nAnswer: d**(-364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1828033 milligrams in kilograms?\nAnswer: 0.0000001828033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 3900338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1718 + -1664. Suppose 0 = 2*u - 4*b + 86, 4*u = 2*b + 3*b - 181. Let w = u + s. Solve 0 = 2*c - 8, 4*c - 7 - 34 = w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 379*z**5 + 81212*z**4 - 89188114*z.\nAnswer: 7580*z**3 + 974544*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*h + 2 = 0. Let o(p) = 3*p**2 + 18 + p**3 - p**2 - p - p**h + 1. What are the prime factors of o(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of f**5\/60 - 13*f**4\/36 + 23*f**3\/18 - 11*f**2\/6 - 54*f + 23. Let s(k) be the first derivative of d(k). Solve s(v) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (43\/(-86) + 1)*34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -37385639 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**3 + 81*m**2 + m + 99. Let c be g(40). Let p = c + -1673. Let d = -227 - -392. What is the greatest common factor of d and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 10:41 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3212, -613, -2\/3 in descending order.\nAnswer: 4, -2\/3, -613, -3212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 24 + 4 = 0. Suppose 4*r + y = 0, -3*f + 2*r + 14 = -0*r. Suppose f*l - l = 15. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5639\/819 + 30\/91. Calculate the common denominator of m and 87\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 316779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -1342.01545 and 98.\nAnswer: -1244.01545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -71 + 66.52. Let h = m - -4.48279. What is h rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 + h**2 + 0*h**2 + (3*h - 3*h - 3*h)*(0*h - 4*h + 3*h) + 7*h**2 - 4*h**2 + 3*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-114)\/(-798)*((-28)\/20)\/(12\/(-30))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from hwzhzwzw?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 178233 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 183*x**3 - 3*x**2 + 9*x - 5. Let z be s(2). Let l(t) = -t**2 + 11*t - 6. Let r be l(8). Suppose 17*w + z = r*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f - 3. Calculate t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10779330 or 10779341?\nAnswer: 10779330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -76\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 2a4b9?\nAnswer: 2a4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {y: 14, a: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005001989507 rounded to seven decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.043 in 0.2, 63, 3, 35, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 262*n - 2. Let g be q(8). Let f be 4 - 4\/(-4)*g. Let d = -37781\/18 + f. Calculate the common denominator of -61\/18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 - (-23 - (-17 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-6\/11)*h*h*h*(h**(-2\/11)*h)\/h)\/(h**19\/(h*h*h*(h\/(h**(2\/11)*h))\/h*h*h)))**(-35) assuming h is positive.\nAnswer: h**(4585\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmmtmttmtttmtm. Give prob of picking 2 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 115802113 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 + 16*n - 260. Let k be o(10). Solve 5 = -x + 2*u, x + x + 5*u - 17 = k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20706544 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + -5. Let y(a) = -1. Let n(m) = m + 10. Let o(c) = -n(c) - 3*y(c). Let h be o(z). Sort 4, 5, h in decreasing order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4007 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (62 + 119 + 36 + 0 + 0 - 1 + (-1 + 3 - 3)*(0 - 2 + 4) - 8 - 1 + 1)*(0*u + 0*u - u**2).\nAnswer: -206*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 2 = -2*l. Suppose 5*c - 3255 = -l*t, -t = -3*t - 5*c + 1308. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 964, 922, 866, 790, 688, 554, 382, 166?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 13774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.5478217 + -22?\nAnswer: -27.5478217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000666239 a multiple of 8247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**3 + 19*p**2 + 20*p + 27. Let z be v(-7). Solve 32*k + z = -28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-34)*(-272)\/912)\/(1\/(-3))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 27*v - 13. What are the prime factors of o(12)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 6*p**3 + p**2 + 30*p - 122. Calculate the remainder when 8199 is divided by d(3).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -209 - -538. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221564.\nAnswer: 2, 7, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.009?  (a) -0.03  (b) 0.7  (c) 4  (d) -2\/11  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2326.82 - 2292. Let m = 35 - p. Let j = 0.12 + m. Which is the biggest value?  (a) j  (b) -1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 226?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times -212?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -17\/5  (b) -0.1  (c) 6364  (d) -11  (e) 0  (f) -2  (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 1 - (-23 - -18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (69 - 109) + 58.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 884969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/61 in 0.7, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -693*b - 8616. Determine i(-13).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 760018*a. Let v(w) = -57*w. What is z(v(m))?\nAnswer: -43321026*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2700600 and 14350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 253298363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 12*r**2 - 9*r - 15. Let n(y) = y**2 + 8*y - 4. Let q be n(-7). Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11.2 * -5.3.\nAnswer: 59.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -19, 5, 174 in increasing order.\nAnswer: -19, -2, 1, 5, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 43280*a - 6*a**3 + 3*a**3.\nAnswer: -a**3 + 43280*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -0.180949.\nAnswer: 0.723796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (5*12\/(-50))\/(10\/(-25))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 788634.72 rounded to the nearest one thousand?\nAnswer: 789000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*j - 236*j = -490 - 362 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3675*i - 7428*i + 3751*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -495624 and -2.\nAnswer: 991248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4284282 to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14781 - -15294. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*b**3 - 786*b**3 - 491*b**3 + 988*b**3.\nAnswer: -582*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 437722 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 + 9*d + 1121. Is 19 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -79 - 33. Let x = s - 44. Suppose -2*a + 16 = x. Solve 2*o - a = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n - 2*n + n**2)*(-73 - 42 + 20) to o + q*n + j*n**2 and give j.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1408 - 37*f**2 - 1408 + (-5*f + 3*f + 5*f)*(-2 + f + 2*f + 3).\nAnswer: -28*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/81532418 and 77\/2.\nAnswer: 81532418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.23 times -28?\nAnswer: -118.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 74, -1, 0.4, -215\/2 in descending order.\nAnswer: 74, 0.4, -1, -3\/2, -215\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*16\/(-6))\/(2183\/(-111) - -20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2311 - 1?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/1680*12*2\/(-32). Let w(d) be the third derivative of 0 - 25*d**2 + 1\/14*d**4 + 0*d - 2\/7*d**3 - i*d**5. Suppose w(c) = 0. Calculate c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 8:36 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -5  (c) -0.5  (d) -4  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, q: 2, u: 4, x: 2}. What is prob of sequence xu?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*b - 783. List the prime factors of 2 - (-2)\/((-6)\/b).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*o = 59 + 18 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1*(sqrt(165)\/sqrt(3)*-4)\/sqrt(180))*6.\nAnswer: -24 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - 6. Let u = k - -10. Is u > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 31 and 1.008755105.\nAnswer: 32.008755105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.9 less than 1.723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/81 and -17\/2241?\nAnswer: 6723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 307276 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30978 + 26331. Round h to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 2 = a. Suppose -a = -3*f - 34. Let q be (-4)\/2 - (-21)\/f. Which is greater: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 226380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 11\/4)*(-40)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 9851389, 19702818, 29554247, 39405676?\n\"Answer: 9851429*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of -4*y**8\/7 - 4*y**4\/3 + 42*y. Find the third derivative of b(r) wrt r.\nAnswer: -3840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 659*p - 528 = 635*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 2:54 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1781041 != -1781041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 4*c + 0*c)*(-2 + 4 - 3 + (0 + 5 - 3)*(-2 + 4 - 3) + 124 + 51 - 27).\nAnswer: -725*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -54?\nAnswer: 11\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 90092460179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*h + 0 + 0)*(-6 + 2 - 1) - 2*h + 3*h - 3 - 3 as x + p*h and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*y + 56, 2*p + 120 = 5*y - 3*p. Calculate the remainder when (-2080)\/60*(-18)\/8 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 26*s + 45. Let f be x(-9). Let d = -179 - f. Solve -q = -6*q + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 561185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 5*u - 750, 0 = y + 27*u - 31*u - 177. Calculate the lowest common multiple of y and 11.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -763, -710, -657, -604?\n\"Answer: 53*j - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 5.703565 hours?\nAnswer: 20532834000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*y + 109*y + 125*y - 8792 = -10*y for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5771 (base 14) in base 15?\nAnswer: 477b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 2\/3, 0.3, -0.1 in descending order.\nAnswer: 24, 2\/3, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * 5.17.\nAnswer: 31.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 + -105. Let j(o) = o**2 + 7*o - 3. Let u be j(-8). Let x(f) = f**2 - 7*f + 7. Let z be x(5). Sort z, u, g in increasing order.\nAnswer: z, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -12. Let q = -12 + v. Suppose -2*z + 0 + 8 = 0. Which is the smallest value?  (a) -1  (b) q  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1411, -1395, -1363, -1309, -1227, -1111?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3b66 + 57a5?\nAnswer: 193c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) 3.1  (c) 4  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 39*t**4\/2 - 315*t**3 - 79824*t**2 - 1585152*t + 245760 = 0. Calculate t.\nAnswer: -32, 2\/13, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 34320 and 6.\nAnswer: 34326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*g + 74*g + 14*g.\nAnswer: 95*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -570 divided by -5\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1227186 is divided by 136275.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g + 63. Let r be c(0). Suppose 2*j = 4*j + 54. Let b = r + j. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/15)\/((-108)\/(-135)) + 636\/(-1176)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 + 25.44. Let x = -0.04 + y. Put 0.4, 2\/7, x in increasing order.\nAnswer: x, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8235767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*z - 8940 = 21*z. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 + 2)*(-4*z**4 - 8*z**4 + 5*z**4) + z**4 + 0*z**4 - 2*z**4 in the form w*z + g + a*z**4 + c*z**3 + p*z**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -868\/5  (b) 9\/2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r**(-4\/9)\/r)\/r**6)**(-4\/9))**(3\/7))**(-1\/13) assuming r is positive.\nAnswer: r**(-268\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -20*y**3 - 8. Let w(z) = -21*z**3 - 9. Let o(k) = 5*n(k) - 4*w(k). What is the derivative of o(d) wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 7:18 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1661842 and 42770?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/175*42\/(-9)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/7 - 249*v**2\/7 - 754*v\/7 - 72.\nAnswer: (v - 252)*(v + 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -24, -16, 4, 42, 104, 196, 324?\n\"Answer: w**3 + w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -289000 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 28207091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -16*l**2. Let m be w(1). Let o be (m\/(-2))\/(5\/12500). Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -155 - 3?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h - h + 7 - 7*h**2 - 2 with respect to h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 489798771 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -181, -667, 5, 2 in descending order.\nAnswer: 5, 2, -181, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 divided by -57?\nAnswer: 53\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17934?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17832347, 35664695, 53497043?\n\"Answer: 17832348*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - 3*m**2 + 4*m. Let w be z(-4). Suppose x - 3 - 3 = w. What is the units digit of -1*2\/x*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 1.8. Suppose -1971*a = -1980*a + 36. What is the nearest to 1 in a, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 - 12*y + 1. Calculate t(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -92 > -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15607, -17642, -21041, -25810, -31955, -39482, -48397, -58706?\nAnswer: -70415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(192))\/(sqrt(144)*-1).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {v: 1, t: 1, h: 2, s: 1, a: 1, f: 8}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 20593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16 - (-1720)\/108) + 490\/54. Solve -t + 4*a + m = 0, -14*a + 10*a - 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**4 + 96*a**3*g + 11*a**3 - 19285*a*g wrt a.\nAnswer: 12*a**2 + 576*a*g + 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/5*j**2 + 0 + 23\/10*j + 1\/10*j**3.\nAnswer: j*(j - 23)*(j - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 17 = 3*z, -949*z - 23 = -954*z + 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((216\/(-42))\/6)\/(17\/70*10).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w**2 + 4*w - 3. Let t be z(-4). Let o = -32 - t. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2260 + -1564. Suppose -s + j + 24 + 147 = 0, -j - b = -4*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15190495.\nAnswer: 5, 1009, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 39299 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + 41 - ((14 - 1) + -9 + 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 80*w**2 - 27*w - 29. Let i be f(-1). What is the highest common divisor of 7228 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a - a + 111*a**2 - 907*a**2 + 560*a**6 - 6*a wrt a.\nAnswer: 67200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, f: 3}. Give prob of picking 4 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(147) - (sqrt(147) - (sqrt(147) + 1*sqrt(147)))) + -4 - (-1*sqrt(147) + sqrt(147) + -1 + 5*1*sqrt(147)))**2.\nAnswer: 714*sqrt(3) + 42492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 7*w**2 + 32*w**2 + 6*w**2. Let i(y) = 2*y**3 - y**2 + 9*y + 9. Let l be i(4). Let r(f) = l*f**2 + 155*f**2 + 161*f**2 - 474*f**2. Determine r(p(c)).\nAnswer: -2025*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 264395 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -5  (c) -1  (d) -32  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/112*-4)\/((-6)\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 577376?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -121, -2325, -8311, -19969, -39189, -67861?\n\"Answer: -315*o**3 - o**2 + 4*o + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -592, -4, -1\/8 in ascending order.\nAnswer: -592, -4, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 20 = 3*x, x = -0*x + 3*m + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 91\/(-63)*3 + (-8)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - 242410333313?\nAnswer: -242410333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 2)*(2*n**3 - 3*n**3 + 3*n**3) + 223*n**3 - 14 + 8 - 222*n**3 to h + f*n + r*n**2 + k*n**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of -5*g**3\/3 + 60*g**2 + 405*g - 2260. Factor i(k).\nAnswer: -5*(k - 27)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/1834868 and -85\/1722.\nAnswer: 225688764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3*r**3 + r**2 - r - 2. What is the tens digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 + 2*r + 3. Let w be -2*(-1)\/4*-4. What is the remainder when 20 is divided by b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1601.049 rounded to 0 decimal places?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2184)\/28)\/(5\/(40\/12)*-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.043017ns to weeks.\nAnswer: 0.0000000000001240790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004151424 rounded to 6 dps?\nAnswer: 0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11740 + 11740 + 76*u + 3*u**2 + (2 - 2 + u)*(0*u - u + 2*u) - 5*u**2 + 4*u**2 + 4*u**2 to the form p + b*u + i*u**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n**3 + 0*n**3 + 8*n**3 - 5*n**2 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 135, -4, 0, -340 in ascending order.\nAnswer: -340, -4, 0, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42442610 (base 7) to base 6.\nAnswer: -205152225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 7*x**2 + x + 5. Suppose -5*z + 4*r = -2*z - 14, z - 9 = -3*r. Suppose 20 = -z*h + h. Is 14 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29308181 or -2?\nAnswer: -29308181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.4, -0.1, -5, 1\/3 in decreasing order.\nAnswer: 1.4, 1\/3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**4\/10 - 14*c**3\/5 - 24*c**2 - 40*c + 200 = 0. What is c?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 11*t**2 - 13*t + 9. Let u be g(12). Sort 4, u, -6, 5 in decreasing order.\nAnswer: 5, 4, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of -242*m**3\/3 + 1036. Let s(z) = -10*z. Determine s(r(a)).\nAnswer: 2420*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 106483 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -38132*m**2 + 98*m - 184. Let d(z) = 7625*z**2 - 21*z + 37. Let a(k) = 14*d(k) + 3*q(k). What is the first derivative of a(w) wrt w?\nAnswer: -15292*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**17\/x)\/(x\/x**(-16)))\/((x*x*x*x\/((x*x**15)\/x))\/x*(x**(4\/13)\/x)\/x) assuming x is positive.\nAnswer: x**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 309*c - 1149*c - 5*c**3 + 221*c + 319*c + 300*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -980 times 39509?\nAnswer: -38718820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51006001.99391 - -51006251. Let t = 249 - p. What is t rounded to four decimal places?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -2 - -9) + (168 - 156)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**5 - 11*f**5 + f**5 + (4*f**2 + 2*f**2 - f**2)*(0*f**2 + f**3 + 0*f**2).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g + 1065 = 19*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, -2, 0.323, 2?\nAnswer: 0.323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.835 - -0.045. Let g = h - 1.28. Sort -5, 3\/5, g, 0.5.\nAnswer: -5, g, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of i**7\/2520 + 7*i**4\/24 - 2*i**3\/3 + 2*i**2. Let m(s) be the second derivative of h(s). Let f(o) = -236*o. What is m(f(c))?\nAnswer: 55696*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7799 + 8729. Calculate the remainder when f is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - -20123023303?\nAnswer: 20123023222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b + -318?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3252 (base 8) to base 15\nAnswer: -78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72582 and 16986.\nAnswer: 205479642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -65*v**3 - 1096*v**2 + 153*v. Let u be w(-17). Let o = -7 - -3. Let t = 0 + 1. Which is the nearest to u?  (a) -3  (b) t  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68720*-24.\nAnswer: 1649280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -148*u + 49. Let p(f) = -298*f + 108. Determine -13*m(b) + 6*p(b).\nAnswer: 136*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 3*l**2 + 32*l + 367. What is the least common multiple of 18 and t(-16)?\nAnswer: 19098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -248 - 1776. Suppose -g = -d + 1464. Suppose -4*z + d = 5*o, -1838 = -3*z + 4*o - 3*o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.0617 times 3\nAnswer: 3.1851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 22 + 3. Suppose 2 + 4 = 3*r. Solve p*f + 8 = r*a + 3*f, -12 = 4*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from jjtpjpptptpjtjpp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8834590 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2426*s + 22. Let l be b(4). Suppose -l - 3 = -9*g. Find the second derivative of -24*o - 1081*o**4 + g*o**4 - 33*o**5 wrt o.\nAnswer: -660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.954 - 3.83. Let k = 0.024 - w. Which is the nearest to k?  (a) -2\/5  (b) 77  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1174331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -5  (b) -6\/7  (c) 14  (d) 2\/3  (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)*n**6)\/(n\/(n*n**(2\/3))*n)**(-1\/27) assuming n is positive.\nAnswer: n**(1\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*s - 10*s**2 + 3*s - 1 + 0*s in the form k*s**2 + o + m*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/127 less than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 93.4\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**3*m*v + 2*g**2*m*v - 401915*g**2*v**3 - 2*g*v**3 + 120*g*v**2 + 1526*g*v + g + m*v**2 + 8*m*v wrt g.\nAnswer: 12*g*m*v + 4*m*v - 803830*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9701\/12560 - 22\/157. What is the common denominator of 4\/(-1*2) + (-23)\/(-8) and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((-19 - -11) + -13)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express k + 2 - 2 + 4*k - 2*k + 6*k + (-1 + k + 1)*(-3 + 1 + 1) + 2*k - k - 2*k as v*k + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 114 - -2 - (24 - ((16 + -15 - -22) + -2))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbvbbnbbnbvbbbn. Give prob of sequence nvb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 2:01 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (104\/(-286))\/(12\/(-594))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i - 3. Let h(b) = -7*b - 2. Suppose 0 = -40*t + 26*t + 70. What is t*h(z) - 3*g(z)?\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 - 11*y + 3. Let m be 12 - (3 + (-1 - 0)). Let h be c(m). Let x = h - -10. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a**4*h - 81*a**4 - 2*a**3*h + 514*a**3 + 146015*a**2*h wrt a.\nAnswer: -24*a*h - 1944*a - 12*h + 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3905*q - 3995*q - 360 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 8  (b) 0.2  (c) -1.8  (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 778 + -783. Let t be 26\/30 + (206\/(-30) - -7). Put 2\/11, a, t, -0.5 in descending order.\nAnswer: t, 2\/11, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) 3\/4  (c) 14159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4\/7, 588\/5, -3\/5, 52, -5?\nAnswer: 588\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*g - 36*g = 51*g - 5676 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -314, -502, -678, -836, -970?\n\"Answer: o**3 - 195*o - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 6*z**2 + 5*z + 3. Let j(k) = -4*k + 19. Let r be j(6). Let h be m(r). Suppose -141 = -6*d + h*d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.3 + -5.3. Do n and 2\/143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 53*g - 51*g + 4 = 0, 2*g = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + ((0 + (-7 - 7) - -5) + 3 - 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*b + 27 - 78 + 51 - 7*b - 15*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5948748, -11897490, -17846230, -23794968, -29743704, -35692438, -41641170?\n\"Answer: j**2 - 5948745*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 11 = -p, -5*p - 17 = 56*n - 57*n. Solve u + 8 = -4*w + 3*u, -3*u = n*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -943, 0.01, -1\/6 in descending order.\nAnswer: 0.01, -1\/6, -943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 4*s**2 + 9*s + 21. Let g be a(11). Let l = 49 - 83. Find the common denominator of 65\/2 and l\/119 - g\/70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-12\/5)\/s)\/s*(s\/(((s\/(s*s**(4\/7)*s))\/s)\/s)*s)\/s assuming s is positive.\nAnswer: s**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, x: 1, g: 2, u: 2, v: 4}. What is prob of picking 2 p?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 113 - 101 = -2*n - 304 + 142, 98*d = -5*n - 734 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 643417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u + 30 + 20 - 3*u + (0 + 2 - 1)*(-2*u - 3*u + 3*u) to a*u + z and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**7\/420 + 7*g**6\/240 - 3*g**5\/20 + 5*g**4\/12 - 2*g**3\/3 + 6*g**2. Factor v(b).\nAnswer: -(b - 2)**3*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14238 and 606942.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 23*i**4\/6 - i**3\/6 - i**2\/2 + 5*i. Is p(-1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 121*g**2 + 2*g - 1. Let t be 12 + 4*12\/16. Let w = 17 - t. Is q(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 4 = 0, -80 = -3*k + 4*l + 30. Suppose k*y - 32*y = 5682. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*k = 141*k + 1422 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4836?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**2 + 10*y**2 - 4*y + 6 + 0. Suppose 20*q - 147 = -47. Is v(q) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 623*a + 17475. What is k(-28)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.0015198037 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d**2 + 3*d + 19. Is s(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -33.378 to one dp.\nAnswer: -33.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -99 + 95. Let s = -806 - -808. Which is the second smallest value?  (a) 30  (b) s  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26044.7986 + -26041. What is f rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 125, 470, 1051, 1874, 2945?\n\"Answer: d**3 + 112*d**2 + 2*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*y - 35*y = -1608. Let h = 1146 + y. What is the highest common divisor of h and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/2560)\/(15\/(-20)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 6)*12\/(-90)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 17 = -3*z, -z - 15*g + 14*g = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -7331203*b + 7331199. Calculate q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((5 + -2*sqrt(162))**2 + sqrt(162) - (4 + (sqrt(162) - (1 + sqrt(162))) - sqrt(162) - sqrt(162))**2) - (-3 + (sqrt(162) + -2)*4*5)**2.\nAnswer: -66628 + 15417*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - (sqrt(133) + (sqrt(133) + sqrt(133)*1 - sqrt(133)))*6) - sqrt(133))\/(sqrt(560)\/sqrt(5))*-2*-3*4.\nAnswer: 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hvhbbbbvhvnqvb. Give prob of picking 1 v, 1 q, and 1 b.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44 + -26. Let v = w + -18. Suppose o - 2*j + 89 - 263 = v, 4*o - 2*j - 720 = 0. What are the prime factors of o?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125*p + 5644 + 8055 - 4449 = 0 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 7*w**2 + w + 9. Let g be f(-7). Suppose 5*x + 66 = -q, -2*q - 204 = g*q + 5*x. Let j = q + 65. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/19591 and 43\/7917?\nAnswer: 11930919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 20753342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 574.1096 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77849206.600579 + 77849313. Let t = 224 + -117.6. Let o = t - v. What is o rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*0.2.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -324.3 in -3899, 0.02, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**4 + 7490406*t**3 - 7490403*t**2.\nAnswer: -3*t**2*(t - 2496801)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 5. Let r be 318\/(-7) - 39\/(-91). Let c = 75 + r. What is the smallest common multiple of u(5) and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-7)*l*l*l*l\/l**(-3\/10)*l**0*l**(2\/21) assuming l is positive.\nAnswer: l**(-547\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - -e4bf6?\nAnswer: e4bf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -36669 (base 16) in base 13?\nAnswer: -7a565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + n + 3)*(64 - 64 + 11*n**2 + (2 - 4*n - 2)*(4*n + 2*n - 4*n) - 3*n**2 + 2*n**2 + 0*n**2) to z*n**3 + o*n**2 + y*n + m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -133, -4 in decreasing order.\nAnswer: 1, 0, -4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26468, -52941, -79414?\nAnswer: -105887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -697473*y + 125 = -697468*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 249?  (a) -0.5  (b) -2\/17  (c) -8  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 - 3*h**2 + 4*h**2)*(-h**3 + 2*h**3 - 3*h**3) - h**3 + h**3 + 2*h**5 + 0*h - 2*h**5 + 0*h - 64*h**5 - 47*h**5 + 160*h**5.\nAnswer: 45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5142, 5111, 5080, 5049?\n\"Answer: -31*g + 5173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 2*w**2 + w. Let n be r(0). Is 5 - (180\/(-5) + n) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7140*f**3 + 14619*f**3 - 7471*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) -1\/30  (c) -0.4  (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32577421661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 14*d**2 - 13*d + 7. Let g be i(-10). Is g\/((-5 + 2)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - 5*o**2 + 45*o + 82. Let k be q(-9). Solve 0 = 5*c + 7*w - 4*w + k, w + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.5, 1\/5, 218, 1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4974 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**2. Suppose 0 = 2*h + 5*t + 3, 24 = -2*h - 3*h + 4*t. Let i be (-1)\/((3\/h)\/3). Let c(n) = -i + 7 + 3*n - 3. Determine c(j(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*j**2 + 324 - j - 12*j**2 + 2*j**2 + (3*j + 2*j - 3*j)*(-5*j - 5*j + 3*j) as n + l*j**2 + k*j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 294 = 289. Sort v, 2, -226 in ascending order.\nAnswer: -226, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-55)\/(-418))\/(-5)*(-12)\/6.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**5 + 2*u**5 - 2*u**5 - 3*u**5 + 5*u**5 - 4*u**5 + (u**2 + u**3 - u**2)*(-2*u + 2*u - 6*u**2).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 481643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -157 - -315\/2. What is the third smallest value in -4, -3, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -988 divided by 19.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1474*v**6 + 118*v**2 + 6 wrt v?\nAnswer: -176880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 32*a - 2 - 10 - 2.\nAnswer: -32*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -48535367\/29994 - -38\/14997. Let c = -1627 - g. What is the common denominator of 149\/(-20) - (-2)\/1 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 367181.9mg to nanograms.\nAnswer: 367181900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-2))\/t**0 assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/((-240)\/(-1101774)) + 7\/35 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/145960 and 51\/902.\nAnswer: 1605560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -r**2 - 8*r - 1. Calculate the smallest common multiple of 3 and u(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 11697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195*k - 144*k - 834*k = 481*k + 46768 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -3*s - 5*m - 14, -8 = -s + 2*m. Suppose -f + s = -9. Let g = 9 + f. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g + 5, -56*q = -61*q + 2*g + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -24. Let c(r) = -4. Let p(k) = -k**2 + 1. Let q(s) = m*p(s) - c(s). Factor q(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 315683620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x - 46*s + 41*s, 4*x = 2*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 45, 37*y - 42*y - 771050 = -5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 928 = 8*q. Let x = q - -466. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 + 23136*q + 33454656.\nAnswer: 4*(q + 2892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 22228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2768 and 144?\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 580 = -c + 2*c, -4*f + 1154 = 2*c. What are the prime factors of c?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (3 - (0 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 10 = 4*b. Let x be (1320\/(-25))\/6 + 1\/(-5). Let n be x - (2 - 12) - (-1 - -4). Put b, 4, n in increasing order.\nAnswer: n, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 339 + (-3)\/(-4) + (-143)\/(-44). Let t = -10977\/32 + s. Let j = 2 - 2. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 PM and 10:01 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + -1*(-3 + 24). Suppose r = 3*n - r + 116, -3*n = 2*r + 112. Let q = c - n. Solve -2*f = f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-8) - (-69)\/12. Suppose 0*w - 7485000 = -i*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**5\/60 + 7*u**3\/6 + u**2. Determine h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1118388993\/419668 + 9\/1678672. Let i = v - -2660. Find the common denominator of 43\/16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187451669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -31*o**3 - 10*o**2 - 48*o - 19. Let q be k(-7). Let j = q - 7469. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 3*z**2 - 4*z + 3. Suppose 4 = -3*t + 2*t. Does 22 divide w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 - (49 - 1))*(-6)\/2. List the prime factors of h\/6*16\/12.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -3*q - o - 24, 13 = -q - 3*o. Let u be (-720)\/q*(-7)\/(-3). Let c = u + -38. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4189213 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127638.\nAnswer: 2, 3, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**2 + 245*n - 944. Determine s(-60).\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37541714?\nAnswer: 2, 7, 227, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**4\/12 - 4*w**3\/3 + 3*w**2\/2 - 52*w + 25. Let n(j) be the first derivative of t(j). Give n(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-9\/8)*o)\/((o\/o**(-17))\/o)*o**(21\/4)\/o**7 assuming o is positive.\nAnswer: o**(-151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5*s - 3. Let a(p) = -11*p - 6. What is -6*a(w) + 13*i(w)?\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 640*o - 1416. Let q be h(2). Which is bigger: -135 or q?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16559 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from btktkkaatrvrr. What is prob of sequence rava?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -94660286 - 3\nAnswer: -94660289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 3*k = -4, -313*r - 4*k = -310*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 2*b - 48, 5*n - 50 = -3*b + 2. Let w = 15 - n. Suppose -w = x - 54. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3404, -3409, -3418, -3431, -3448?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 3*x. Suppose x = -z + 116 + 50. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -10*j + 5*j. Suppose -6*o = -j*o. Suppose o = -3*v - 3*x + 3, 2*v - 3 = -3*x - 2. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i\/(i\/(i**(-2\/45)\/i*i*i)*i)))*i**(3\/2))\/(i*i**(-2)*i)**17)**26 assuming i is positive.\nAnswer: i**(1703\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 5. Let v = -11.7 + 13. Let w = 0.3 - v. What is the smallest value in -2, k, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h. Let s(n) = -n + 11. Let r(i) = -s(i) - 2*u(i). Let b be r(-14). Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.45 - 0.7. Let u = 0.35 + l. Does u = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*z**4 + 13702*z**2 + 2391.\nAnswer: -8*z**3 + 27404*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 226 - 220. Let p(c) be the first derivative of -1\/4*c**4 + 1 + c**2 - 7*c + 2*c**3. Calculate p(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -158 divided by -211\nAnswer: 158\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*((-8)\/(-6))\/2. Suppose o + w - g = 3, 2*o + 4*w = 32. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-8)*192\/80. Let h(w) = 4*w**2 + 4*w - 2. Let l be h(1). Let b be (15\/(-10))\/(9\/l). What is the fourth smallest value in b, d, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*q = -0*q + 116, q + 124 = 4*m. Let w(t) = -4 + m*t + 14 - 6 - 5. What are the prime factors of w(3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - 1)\/((-6)\/(-12)). Suppose 7 = t*p - 5. Let b = p + 16. Calculate the remainder when 55 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 11*z**2. Let u(b) = b**2. Let l(y) = -95*y**2. Let r(n) = -l(n) - 114*u(n). Calculate t(r(q)).\nAnswer: 3971*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 0, 8, 30, 72, 140, 240?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 25*2 - (13 - 11). Suppose -l = -5*q + 127. Find the common denominator of (-14)\/q - 10\/6 and -50\/7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7265, 14500, 21659, 28706, 35605, 42320, 48815?\nAnswer: 55054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11259 and 5699?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2. Let f(w) be the second derivative of 0 + 1\/3*w**3 + 0*w**2 + w. Determine f(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -831 - -2042. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 55.94 - 56. Which is the third smallest value?  (a) z  (b) -0.03  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 663620, 1327909, 1992196, 2656481?\n\"Answer: -v**2 + 664292*v - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6*y + 38. Let q(v) = 2*v + 13. Give -8*q(f) + 3*w(f).\nAnswer: 2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50 - 51. Is 6 a factor of 14 - 10 - (l + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19982205 divided by -116855\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75 - 44 + 168 - 2*z - 47 - 72.\nAnswer: -2*z - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 245731 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 86277141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 7. Suppose i*b + 2*f = 5*f + 36, 0 = 3*b - f - 36. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -7, -1\/8, 3, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 110003011111 (base 4) to base 14\nAnswer: 9ab3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 920.3744 meters in centimeters?\nAnswer: 92037.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12285 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 68 + 5?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 7:42 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 249943 is divided by 124443.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aooikkameoa. Give prob of sequence mioo.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/3, -44, -11?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f - 6. Let p(v) = 8*v - 18. Let n(t) = 7*j(t) - 2*p(t). Let y(d) = -d + 15. Let x be y(4). Let z(g) = -g + 1. What is x*z(r) + 2*n(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 89411 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2303 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**5 - 2*s**5 - 2*s**5 + (s**2 + 0*s - 2*s + 0*s**2)*(-2*s**3 + 3*s**3 + 2*s**3).\nAnswer: s**5 - 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2*o = -5*d + 2, 3*o = 2*d + 16. Let n = -4007\/5 - -801. Put -0.2, d, 5, n in decreasing order.\nAnswer: 5, -0.2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 307 or 48321\/158?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2399667291.\nAnswer: 3, 7, 1093, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z. Let s = -3073 + 3071. Let h(p) = -7*p. Calculate s*h(v) - 6*w(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of z**8\/5040 - 23*z**5\/20 + 58*z**2. Let u(r) be the third derivative of m(r). Let t(v) = -4*v. What is u(t(p))?\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 95549, 95540, 95531, 95522, 95513?\n\"Answer: -9*q + 95558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 3:47 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1453531 is divided by 315.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5342389 divided by 2\nAnswer: 5342389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.077 and 1665697256?\nAnswer: 1665697255.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3.2, -1252, -4, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -6389 and -6409 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37262, -149048, -335358, -596192?\nAnswer: -931550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/l**(-12))*(l**(-8\/7)*l)\/l*(l**6)**(-37) assuming l is positive.\nAnswer: l**(-1646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4309, 8617, 12923, 17227, 21529, 25829, 30127?\n\"Answer: -b**2 + 4311*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n - 2*n + 8*n**2 + 2*n - 3*n**2 + 4*n**2 + 0*n**2 + (-n + 3*n - 3*n)*(4 - 4 - 2*n) to t + s*n + i*n**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 0*i = -144. Suppose -z + i = 3*z. Let l(d) = d**2 - 12*d + 38. Let c be l(8). What is the greatest common divisor of c and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(256) + ((sqrt(256) - -2*sqrt(256)) + sqrt(256) - sqrt(256)))\/(-4*sqrt(16)\/sqrt(2)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-2) + -14 + -8. Let k(n) = -70*n - 14 + 34 + 35*n + 30*n + 35. What are the prime factors of k(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15966 at least as big as 5\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 8*s**2 - 8*s - 2. Let i be g(-7). Let z = -0.031 - -0.071. Which is the second biggest value?  (a) 3  (b) i  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55904636 divided by 42806?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + -7)*5\/(-10). Solve -4*y = -3*y + z*j, 0 = 3*y + 4*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 4*o - o**3 + 0 + 3 + 4*o. Let l be i(3). Let q be (l\/12)\/(-5)*-2. Which is the second biggest value?  (a) 1  (b) q  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + 33*g + 344. Let u be t(-8). Which is the biggest value?  (a) -2\/7  (b) u  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -1394.3668\nAnswer: -1394.3668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -9*d. Let q(g) be the second derivative of -17*g**3\/6 - 17*g. Let f(s) = -6*q(s) + 11*u(s). Let k(p) = 5*p. What is f(k(x))?\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 4214.\nAnswer: 50568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7255 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*w - 632*w + 21431 = -83*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -8*l**3 - 4*l + 5. Let s(y) = 7*y**3 + 3*y - 4. Let d(i) = -3*n(i) - 4*s(i). List the prime factors of d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -1\/4  (c) -1  (d) -2  (e) -20780\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 4*m**2 - m + 5. Let r be l(4). Suppose -19 = -a + r. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = h + y, -1 = -3*h + 7*h + 5*y. Suppose 0 = -2*g - 5*p + 42, g + 3*g + p = 48. Calculate the remainder when g is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m**3 + 55*m**2 - 28*m - 9. Give t(27).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.5200948867+0.04\nAnswer: -0.4800948867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2\/3653, -5, -4, -21, -1.6 in ascending order.\nAnswer: -21, -5, -4, -1.6, -2\/3653, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 241642, 483278, 724914, 966550, 1208186, 1449822?\n\"Answer: 241636*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 - 16*j - 3. Let b be r(-8). Let h = b - 24. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*h + 8*h**2 + 18*h - 26*h to the form m*h + b + c*h**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 4*r = -r - 15, 3*r + 6 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 260769727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142, -160, -178, -196, -214, -232?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*y - 6*y - 299*y**3 - 6*y**4 - 2*y**2 + 320*y**3 + 2 as d*y**3 + s*y + p*y**4 + u + k*y**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40 - (-46 + 126 + -37)) + (3045\/144)\/7.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -5*p. Let r(q) = q**3 - 5. Let m(k) = -2*k**3 + 4. Let n(c) = 2*m(c) + 3*r(c). Let j(s) be the first derivative of n(s). What is z(j(b))?\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3860872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 477*n - 5241. Determine o(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and 764.9515213?\nAnswer: 764.8515213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 7:30 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 15 + (-40 - (-8 + -6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 338628971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 595 and 81865.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -731*n**3*x**5 - 3*n**3 - 85*n*x wrt x.\nAnswer: -14620*n**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 16*j + 156. Let t = 13 + j. Find the first derivative of -l**3 - 10*l**3 + 5 - t wrt l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2030\/14 - (4 - -2). Let z = s + -137. Factor 1\/4*t + 1\/4*t**z - 1\/2.\nAnswer: (t - 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2813209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 459*j + 51385. Determine o(-197).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z**(-2\/7)\/z)*z*z**(-2)*z*z*z*z*z*(z**(2\/5))**8 assuming z is positive.\nAnswer: z**(332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (152*(-1085)\/(-4960))\/(14\/24)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/13  (b) 0.4  (c) 89  (d) 9\/113  (e) 20  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t - 1. Let l be y(1). Suppose -l = 5*r - 6. Suppose -24 = -4*a + 16. Calculate the lowest common multiple of r and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.8 - -1. Let n = 0.1 + -1.1. Let o = n + 0.5. What is the second smallest value in o, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 37 - 74*k + 74*k + 3*k**2. Let l(f) = -f**2. Determine c(l(y)).\nAnswer: 3*y**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -135, 279, 1253, 3069, 6009, 10355?\n\"Answer: 47*b**3 - 2*b**2 + 91*b - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 8647*o**2 + 1833*o**2 + 4216*o**2 as u*o**2 + i*o + h and give u.\nAnswer: 14696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 146, 1353, 4734, 11405, 22482?\nAnswer: 39081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 616800 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/38)\/l)\/l)\/(l**(2\/45)\/l)*(l**(-11))**(-6) assuming l is positive.\nAnswer: l**(111029\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4320 = -22*p + 3550. Put -43, p, 5 in increasing order.\nAnswer: -43, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -5, -20, -11 in decreasing order.\nAnswer: 6, -5, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3245 and 71005.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*o = 22*o - 102. Calculate the remainder when o is divided by (6\/(-8))\/(2\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (25\/(-2))\/(1\/(-6)). Let m = 98 - c. What is the closest to m in 5, 1\/3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -206*y - 2. Let h(a) = 11*a. Calculate h(l(d)).\nAnswer: -2266*d - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-67 - -68) + (-18)\/30.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*d**2 - 49*d**2 - 56*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m + 102*p + 107*p = 211*p + 83, 27 = 3*m + 2*p for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -137 in -1545, -5, -3\/5, -8, -3, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3560046.\nAnswer: 2, 3, 7, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 8951.\nAnswer: 17902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7588025540 to the power of 1\/4, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.8194543ug?\nAnswer: 0.0000008194543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 78 - 74 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2071*m**5 + m**4 - 2*m**3 + 58*m**2 + 41 wrt m.\nAnswer: 124260*m**2 + 24*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2019, 4036, 6059, 8088, 10123?\n\"Answer: 3*h**2 + 2008*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20429494 and 95840.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.193?  (a) -0.3  (b) 4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 245\/3 + -81. What is the second biggest value in z, -4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101462 - 16077.1?\nAnswer: 85384.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j. Let m(i) = 98844858*i. Determine a(m(t)).\nAnswer: -98844858*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of q**4 + 5*q**3\/3 + 2*q**2 + 7*q + 8. Let w(k) = 6*k**3 + 7*k**2 + 6*k + 10. Suppose 3*t + 5 = 20. Give t*w(f) - 7*y(f).\nAnswer: 2*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 8 + 0 = 0. Let f be (-15)\/12*g - (-2 - 1). Let x be 10\/((2\/f)\/(6\/16)). Solve 7*d + x = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2250 and 215100.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/2, 3\/5, -10\/71, 5, 0.4?\nAnswer: -10\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/((sqrt(275) + sqrt(11))*5) - (sqrt(30)\/(sqrt(72)\/(-1*sqrt(12))))**2.\nAnswer: -5 + sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 121866 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155\/(-210)*(-8)\/(-220)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -105*d + 1\/110*d**5 + 0*d**2 + 0 - 1\/11*d**4 + 3\/11*d**3. Let l(r) = 0. What is r?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 746650.\nAnswer: 2, 5, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/260 and 73\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5\/62, 1, -3, 17\/12, 0.43?\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.3, -1\/436, 2\/7, -5, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32401537, -32401541, -32401549, -32401561, -32401577, -32401597, -32401621?\nAnswer: -32401649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -2*m**4\/3 - 250*m. Let k(n) = -18*n**2. Calculate q(k(r)).\nAnswer: -2592*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + z - 1)*(-3*z**3 + 3*z**3 + 2*z**3 + (z + 0 + 0)*(-4*z**2 + 4*z**2 + z**2) + 0*z**3 + 0*z**3 + z**3 - z**2 - z**3 + z**2 + 28*z**3 + 13*z - 13*z).\nAnswer: 31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*l*s**2*x**2 + 9*l*s*x**2 - 140*l*x**2 - 2*l*x + x wrt s?\nAnswer: 18*l*s*x**2 + 9*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2341, 4770, 7209, 9664, 12141, 14646, 17185?\n\"Answer: n**3 - n**2 + 2425*n - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 0*n = 0. Suppose 3*q + n = 9. Suppose 0 = 2*o + i - q, 15 = 5*o - i - 3. Solve -x + o = -4*x + 5*r, 4 = -4*x + r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (29\/4 + (12 - 12))*24. Suppose 3*d = -2*t + 139, -7*d - l = -2*t - 3*d. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 529 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-9)\/4)\/(24\/(-128)). Let v be 52\/b + (-2)\/6. Let j(m) = 2*m**2 + 2*m - 7. Let d(u) = u**2 + u - 3. Calculate v*j(n) - 10*d(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -46993100 divided by -3590?\nAnswer: 13090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14 - ((-6)\/(-2) + -2). Suppose v + 11 = 4*c. Calculate the remainder when 9 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + o = -11, -4*o + 5*o + 1 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78599 = -20*j + 317119. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*v = -6157 - 575. Let h = -20 + v. What are the prime factors of h?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 113*i**4 + 341*i**2 wrt i.\nAnswer: 2712*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 4*q + 3. Let t be 6\/6*(4 + -4). Let i be r(t). Solve -3*f = 4*o, f + 5*o + 23 = i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*m + l - 4, -4*l = 5*m - 9*m - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -3*v**2 - 111*v = 0.\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 48. Suppose 2*w = v*r + 34, 0 = -4*r - 4*w - w - 95. Let u be r*20*(-132)\/16. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-428)\/107*5\/(-16)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.27 and -1.4543.\nAnswer: -1.1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of j**4\/4 + 5*j**3\/3 + j**2 + 7*j - 1. Suppose -4*m - 4*d = -0*m - 52, 3*m - 4*d = 11. Suppose m = -4*p - 11. Calculate s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m**2 + 24*m - 20. Let l be o(11). Calculate the greatest common divisor of l and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180*q - 699*q + 17*q**3 + 519*q.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171)*3 + sqrt(171))*5)\/(sqrt(9) + (sqrt(9) - (2*sqrt(576) + sqrt(576)))))**2.\nAnswer: 1900\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*a + 7*a. Suppose -a*u + 660 = -0*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-10)*m\/m**(-8))**12)**(-2\/5) assuming m is positive.\nAnswer: m**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29218 - -8283. Let d = b - -30535. What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 69 = u, 2*u - 21 = p + 138. Suppose -4*m + 54 = -u. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of 116*r**7\/105 - 4133*r**5\/60 + 2*r**2 - 901. What is the third derivative of x(y) wrt y?\nAnswer: 5568*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -309174830 and -24930.\nAnswer: -309199760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -4*j - 230 + 202, -10 = 4*j - 2*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1778.61 + 1780.91022. Let x = 2.3 - f. What is x rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*v = -24. Suppose -2*u + 19 = 1. Is ((-2)\/v)\/(u\/(-4239)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = d - 228, -246 + 261 = n - 5*d. Calculate the remainder when 3207 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*y - 19, 5*t + 17*y - 18*y = 19. Suppose t*f - 12 = -3*p, -5*p + 10 = 3*f + 2. Solve -14*l + 11*l + f = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-210)\/140)\/(6\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of -q**5\/20 - 5*q**4\/12 + 3*q**3\/2 + 15*q**2\/2 + 8*q - 13. What is y(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.10449247875942 and 0.1.\nAnswer: 0.20449247875942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/5)\/o)**(-2\/137))**40*(o**(2\/7))**(-16)*(o\/o**2)\/o**(-5) assuming o is positive.\nAnswer: o**(-212\/959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -78 - 2. Let x = 92 + j. Find the third derivative of -x*u**5 - 1179*u**2 + 1172*u**2 + 2*u**5 wrt u.\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 3*f + 37 = 0, 534*f = -2*q + 538*f + 56 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -18285*w + 22. What is j(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2aed60 (base 15) to base 8.\nAnswer: -7725201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100111 (base 2) to base 16.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2731 + -2728. Which is the closest to -2\/3?  (a) -0.2  (b) 1  (c) w  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.087, -0.08, 0.1, 0.2?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, r: 3, y: 4, s: 7, f: 3}. What is prob of picking 2 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -23. Let z = -13 - v. Let h = 6.22 + -6.42. Which is the closest to h?  (a) 5  (b) z  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpo when three letters picked without replacement from {o: 2, p: 1, v: 1, c: 1, z: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 525379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 7*l**2 - 2*l + 35. Let j be t(-9). Calculate the highest common factor of 86 and j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 - 1274333*f - 1274332.\nAnswer: -(f + 1)*(f + 1274332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1144.2 + 1143.8. Put -13\/7, 1, o, 2\/9, -1\/3 in descending order.\nAnswer: 1, 2\/9, -1\/3, o, -13\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 4  (b) -1\/4  (c) 3  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**3 + 4*c**3 - 4*c**3 - 2*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(198))\/((sqrt(33)\/sqrt(3) + sqrt(11))*3 + sqrt(11)).\nAnswer: 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -43*f**5*h + 969109*f**3*h - 51614*f*h - 2*f - 2*h + 5 wrt f?\nAnswer: -860*f**3*h + 5814654*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 35941224281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -54454788, -54454789, -54454790, -54454791, -54454792?\n\"Answer: -s - 54454787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 325 - 324. Which is the nearest to -0.4?  (a) 12  (b) 1\/2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 + 31. Let z(u) = u**2 - u + 1. Let t(m) = 8*m**2 - 14*m - 6. Let h(d) = k*t(d) + 6*z(d). Find the second derivative of h(j) wrt j.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -7*w**2 + 9*w**2 + w**2 + 0*w**2. Let d(h) = 3*h**2 - 5*h + 5. Let o be d(2). Let f(u) = 5*u**2 - 8*u**2 - o*u**2. What is f(r(s))?\nAnswer: -90*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i**3 + 6*i**2 - 4*i + 11. Let d(y) = 6*y**3 - 13*y**2 + 9*y - 25. Determine -6*d(n) - 13*h(n).\nAnswer: 3*n**3 - 2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10132030 - 131?\nAnswer: -10132221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*n - 2*n. Suppose 4*i - i = n. Calculate the smallest common multiple of 22 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 + -2)*(0 - -5). Suppose 0 = 3*f + r, -p + 836427 = 5*f + 2486452. Round p to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25303485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6753 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, r: 2}. Give prob of sequence sr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-185)\/74 - 30\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t - 1. Let z(f) = 26*f - 6. Let w(r) = 8*n(r) - z(r). What is the remainder when w(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -5*d + 3. Let r(h) = 6*h - 4. Suppose 4*c + 0 = -m + 4, -c = 0. Give m*s(z) + 3*r(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 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: b\"What is the dth term of -299740, -599480, -899220, -1198960?\n\"Answer: -299740*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 129217 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3 = 5. Let w be ((-5)\/g)\/((-1)\/(-2)). Let h be (-3)\/(2 - w)*0. What is the closest to h in 1, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49 divided by -49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/((m**(4\/5)*m)\/m)*m**(-3\/11) assuming m is positive.\nAnswer: m**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {l: 4, b: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5288, -9833, -14380, -18929, -23480, -28033, -32588?\nAnswer: -37145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 160 and 140?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51 * 55.\nAnswer: -2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 458.25 and -0.3?\nAnswer: 458.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 5*r - 3. Let v be i(-4). Let b be 1 - (7 - (-2)\/v). Let w(c) = -11*c - 5. Is w(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 468575 is divided by 2647.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -1 + 2*i - 2*i + i**2. Let j(m) = -5*m**2 + 3. Suppose 63 = 5*h - l, -2*h - 2*l + 12 = 2*l. Suppose 14*x - h = 10*x. Calculate x*z(a) + j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 231 (base 7) to base 4.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -521190406*i**2 + 32200144*i.\nAnswer: -1042380812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (32 - 25 - 26)*(-1516 - 89*u + 1516) in the form c + i*u and give i.\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + 322\/(-40) + 3. Let z = h + -37\/60. What is the closest to 2\/5 in 2.4, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of 5*l**2\/2 - 6*l + 6. Let i(n) = 9*n - 11. Give -4*i(y) + 7*q(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -282079069*d**2 - 214943884?\nAnswer: -564158138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = u - 20, -4*u + 2*l - 10 = -8*u. Suppose -2*v + 2*x = 0, 3*v - 7*v = -3*x - 2. Solve 4*m - 2 - 5 = -r, u*r - 13 = v*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-6 - (4 + 3 + -24))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -60, -89, -116, -141, -164?\n\"Answer: l**2 - 32*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 11*v**2 - 23*v + 10. Let s be j(7). Put -4, -2\/17, s in increasing order.\nAnswer: -4, -2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 667 and 690.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 11*f - 5*f - 17*f. What is x(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15221475 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-3 - -4)*(-2 + 6). Suppose -2*z = x*o - 154, -o - 2*z + 43 = -6*z. What is the smallest common multiple of o and 33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-129)\/5)\/(399\/(-12635)). Calculate the highest common factor of 152 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 4*j - 270, -6*z + 3*j = -z - 235. Let q = 11 - 17. Calculate the remainder when z is divided by (1\/(q\/(-78)))\/(2\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 97, 100, 105, 112?\n\"Answer: n**2 + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 69*r = -344, -3*r - 7 + 8 = 4*m - 2*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -655*v = -2160 - 2425 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 158, 329, 500?\n\"Answer: 171*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71005718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i*i**(-6)))*i\/(i**(-3\/5)*i))**(-2\/39)\/((i**0)**48\/(i**(-1\/9)*i*i\/(i**(-4\/7)*i)*i)) assuming i is positive.\nAnswer: i**(10999\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**3 - 7*c**2 + 33*c + 61. Calculate x(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -7300*0.4\nAnswer: -2920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.497275 meters to nanometers.\nAnswer: 5497275000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(33)\/sqrt(3) + sqrt(11))**2 + -2 + 4 + sqrt(176) + (sqrt(176)*-2)**2.\nAnswer: 4*sqrt(11) + 749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z - 10. Let j be t(0). Let k = 6 + j. Let o(h) = 2*h**2 + 5*h - 1. Let c(g) = g**2 + 3*g. Let y(r) = 7*c(r) - 3*o(r). What is y(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + i - 133 = 0, -3*g + 5*i = -4*g - 39. Let l = g + 79. Suppose 5*h = 100 + l. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is bc5 + -27b3?\nAnswer: -19cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*j = 305, -4*j = 5*a - 1202 - 299. Suppose 0*m + a = 3*m. What is the remainder when m is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93205.82 kilometers in nanometers?\nAnswer: 93205820000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-135)*15\/20. Let f(k) be the third derivative of 1\/18*k**4 + 0 + 1\/18*k**3 + 1\/630*k**7 + 0*k + n*k**5 - 2*k**2 + 1\/90*k**6. Factor f(o).\nAnswer: (o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 + 23. Solve 2*p + 4*a = -2*p - 4, 4*p - 4*a - 28 = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11732009 + 82.0247?\nAnswer: -11731926.9753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 - 14*g. Let j(f) = -f**2 - 7*f. What is -7*j(i) + 4*v(i)?\nAnswer: -i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 20*f**2 - 10435*f + 6881. Give m(-93).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 270*y - 8. Let h(d) = -89*d + 3. Let z(c) = -8*h(c) - 3*q(c). Let l(m) = 2*m**2. What is l(z(p))?\nAnswer: 19208*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*r**2*u**3 - 41*r**2*u + 4*r*u + 216*u**3 wrt r?\nAnswer: 20*u**3 - 82*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13793 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -4*n**3 + 21*n**2 - 7*n - 68. Let b(l) = -4*l**3 + 18*l**2 - 6*l - 67. Calculate -7*b(u) + 6*g(u).\nAnswer: 4*u**3 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -214?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-52 + 3 + 1)\/(-1). Let x = -32 + c. Calculate the smallest common multiple of x and 50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 3:44 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 27 = -4*q + 17, 0 = 5*q + v - 84. Suppose -q = -0*b - 4*b. Solve 3*c + 12 = -b*i - i, -8 = -2*c + 2*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -8033, -16058, -24059, -32018, -39917?\n\"Answer: 3*m**3 - 6*m**2 - 8028*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*((-6)\/8)\/(-3). Let l = -3 - -2. Let b = 1.2 + l. What is the nearest to 0 in b, -3, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*s = -28*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7015782 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-195)*45\/30\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - v**2 - 18*v + 73. Calculate u(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1716, -3421, -5124, -6825?\nAnswer: -8524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4356 divided by -9.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-11\/2)*f*f\/(f\/(f*f**(9\/8)*f*f))*f*f*f\/(f\/(f\/f**(1\/61))*f)*f*f*f**(-23))**2 assuming f is positive.\nAnswer: f**(-8975\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 49503 + 38498. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/2)\/d)**5*d*d*d**26*d*d**(5\/3) assuming d is positive.\nAnswer: d**(169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/7  (b) 0.06  (c) 2  (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4483711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d + 7 = -9*k - 8*d + 81, 13*k - 101 = -3*d for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002209224 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3*f**2. Let o(k) = -94*k**2. Determine o(i(u)).\nAnswer: -846*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84 and 2666388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 - 148*a - 17612. Give b(-78).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 44\/((-3)\/((-39)\/10)). Let f = m - 56. Factor 0*t + f*t**4 - 6\/5*t**3 + 2\/5*t**2 - 2\/5*t**5 + 0.\nAnswer: -2*t**2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -296, -301, -310, -323, -340?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, -3, -31, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16831 is divided by 5605?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7, 22, 63, 142, 271, 462?\n\"Answer: 2*l**3 + l**2 - 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-107)\/(-21) - (-48)\/(-504). Suppose 2*t = 2 + 2. What is the third derivative of -14*c**2 + t*c**w - 9*c**2 - c**4 + c**4 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**0\/(h*h*h*(((h*h*h**3)\/h)\/h)\/h))**(-34) assuming h is positive.\nAnswer: h**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 + 9*i - 3. Let f be z(6). Let d = -38 + 28. Let l = f + d. Solve -l*u + 20 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6236 is divided by 1035?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -42a8 (base 11) to base 13\nAnswer: -2783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**2 - 436*a - 1 - 3*a**3 + 219*a + 9*a**4 + 219*a as y + f*a**2 + q*a + x*a**4 + t*a**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**3 + 3*s**3 - 3*s**3 + (2*s + 5 - 7*s + 3*s)*(0*s**2 + 8*s**2 + s**2).\nAnswer: -19*s**3 + 45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 10:09 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1219*o**3*w**2 - 80*o**3 - o**2*w**2 + o**2*w - 16 wrt w.\nAnswer: -2438*o**3*w - 2*o**2*w + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r. Let p(v) = 3*v. Let u(i) = 7*i - 3. Let k(c) = 15*c - 7. Let d(g) = -3*k(g) + 7*u(g). Let a(t) = 2*d(t) - 3*p(t). Determine x(a(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*u + 38*u + 37*u + 18 + 31*u - 140*u to g + y*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4 - 3 - 3*q**2)*(-7 + 7 - 2) as s*q**2 + a*q + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 12323.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 - -122. Let z = 603\/4 - k. Which is the second smallest value?  (a) z  (b) 2  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, c: 8}. Give prob of sequence ccd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6719 - -4141. Does 53 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, h: 2, j: 4, t: 1, i: 1}. Give prob of picking 1 a, 1 i, and 1 t.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.1, -30, -5, 0.4, -2 in ascending order.\nAnswer: -30, -5, -2, -0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3143\/2 - 1609. Calculate the common denominator of r and 97\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 58847699 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**4 + 16*u**3 + 8*u**2 - 16*u - 12.\nAnswer: 4*(u - 1)*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwccccwcc. Give prob of sequence ccww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 5*i - 16. Let r(o) be the third derivative of -4\/3*o**3 + 0 - 1\/12*o**4 + 0*o + 6*o**2. What is r(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5142224 and 22?\nAnswer: 56564464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 8631428*l + 156845. Let x(d) = -1651*d - 30. Determine 6*j(w) + 31369*x(w).\nAnswer: -1651*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 16220?\nAnswer: -16215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4360, 17460, 39294, 69862, 109164?\nAnswer: 157200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 258081 times -0.05\nAnswer: -12904.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3\/5))**38*m**(-10)\/m*m\/(m\/(m*m**(-5)*m*m*m)) assuming m is positive.\nAnswer: m**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-1086)\/905*565\/(-62)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.11, -2\/69, -0.3 in decreasing order.\nAnswer: 0.5, -2\/69, -0.11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 145 = -302. Let p = a - 74. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*s**2 - 66 - 2*s**2 + 127 - 61 - 277*s**2.\nAnswer: -561*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 11*g**2 - 1. Let u be ((-3)\/(-9))\/((-3)\/(-9)). Is r(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-14) + 6\/312. Let p = -1\/52 + g. Suppose 4*o = 0, -2*x - 3*o = -0*o - 6. Which is the fourth biggest value?  (a) 5  (b) 0.4  (c) p  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 0)\/(1 - 2). Suppose -i + w + 99 + 7 = m, 3*i - 4*w - 317 = 0. What is the remainder when i is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 21*l - 87. Let t be g(-24). Let r = t + 119. Which is smaller: r or -116\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -159107.808 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*q + 10, -2*q = -q - 3*b - 7. Suppose -l + 27 = 5*d, 12 + 18 = q*d + 5*l. Solve 4*v - 2*f + 22 = f, -4*v - d*f - 6 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**3 - i**2 - 221*i**5 - 12 + 27 + 12 - 2*i**3 wrt i?\nAnswer: -13260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -36, -169, -394, -711?\n\"Answer: -46*y**2 + 5*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 7:46 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -73*k**2 - 4*k**3 + k + 5*k**3 - 7 + 2 - 4 + 55*k**2. Determine m(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {w: 1, f: 2, e: 1, c: 8, v: 6, g: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5632 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a**3 - 3*a**3 - 2 + 7*a**3 + 18*a**2 + ((a**2 - a**2 - 2*a**2)*(1 - 1 + 2) + a**2 + 4*a**2 - 3*a**2)*(75*a + 373*a + 34*a).\nAnswer: -963*a**3 + 18*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 6*i**2 + i - 1. Let u be k(6). Let y(w) be the first derivative of 7*w**2\/2 - 7*w - 11369. Calculate y(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 280 is divided by (-36)\/(-15)*(-25)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/((5 - -1)*1). Which is the closest to 13?  (a) m  (b) 0.3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 0*b + 5*b = 34, -5*y + 2*b + 197 = 0. Calculate the greatest common divisor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -5\/3  (b) 1\/3  (c) -30.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*j - 79973 = -7*j + 108139. Calculate the remainder when j is divided by 327.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of l**4\/12 - 5*l**3\/3 + 5*l**2\/2 + 5*l. Let v be m(9). Let s(u) = 2*u**2 + u + 7. List the prime factors of s(v).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.59*21.\nAnswer: 96.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z + 18. Let h be k(15). Let f be -1 + 21*h\/9. Suppose f*l + 5 - 29 = 0. Solve 2*r + 5*q - l - 8 = 0, r - 3 = -q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/3*21\/2. Let v = 18 - z. Solve 4*b - 1 = v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/75 + (-528)\/(-6660)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l = 41 - 5 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (4 - 2) + -6. Suppose g = -p + 13 + 20. Calculate the highest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2, 3, 10, 19?\n\"Answer: j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 6 - (3 + -6) - 9 - 39.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 6*u**2. Let b be f(-1). Suppose -4*s = -5*v + 302, 3*v - b*v - 5*s + 159 = 0. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 44*o + 18. Let z(r) = 11*r - 6. Let b(q) = a(q) + 3*z(q). Let i(c) = -3*c + 2*c + 0*c. What is b(i(m))?\nAnswer: -77*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.06  (b) -3  (c) -1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -66\/7. What is the third biggest value in -2, i, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40959, 40989, 41019, 41049, 41079, 41109?\nAnswer: 41139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 5889.\nAnswer: 64779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21234 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2476 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -16b26 + -764?\nAnswer: -1768a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2141, -2329, -2515, -2699, -2881, -3061?\n\"Answer: a**2 - 191*a - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 1405*g. Let n(m) = -4003*m. Calculate n(a(x)).\nAnswer: -5624215*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.014 in -2, 0.2, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 141 + (1\/3 - 0)*-6. Let k = c - 219. Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.41 - -6.41. Let p = -0.012 - 2.988. Let x be (3 - 3)\/(2 + -1). Which is the closest to x?  (a) j  (b) p  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -154.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(54))\/(sqrt(16)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 14*w**2 - 7*w + 4. Let c be a(-11). What is the remainder when 35 is divided by c\/(-22) + 10\/55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18520*p - 13636*p + 30156*p + 21160*p.\nAnswer: 56200*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/21 - (4 + 59\/(-7)). Let r(u) = u**2 - 4*u + 2. What is r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17474*a**2 + 19658*a**2 - 13418*a**2 + 10134*a**2 to the form o + q*a + f*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51660 divided by -7.\nAnswer: 7380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/3*(-2 - 4). Let x(q) = q**2 + 11*q + 14. Let y be x(f). Let c(r) = -r**3 + 5*r**2 - 3*r - 2. Let t be c(y). Let m(n) = -n - 1. Calculate m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1008 - -1018. Which is bigger: -8\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103000342 (base 6) in base 15?\nAnswer: 25e298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8345 and 8345.\nAnswer: 8345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*d - 136 - 136 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1357.521l?\nAnswer: 1357521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*b - 3738 = -44*b - 393*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -5. Let b(f) = 131*f**2 + 5*f. Let m be b(0). Solve -v + p*k + 5 = m, -k - 3*k + 25 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -7.2  (b) -3  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 + 34. What is the hundreds digit of i\/(-16) + (-259324)\/(-416)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.037  (b) 670\/7  (c) -4  (d) -3  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (30\/(-12))\/(1 - 6\/4). Suppose 5*d - 9 = 2*t, -c*d + 6 = -4*d + t. Calculate the highest common factor of 7 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -6. Suppose r = -3*u + 39, 0*r - c*u = -r + 15. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/96*(5 + 279\/(-54)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/8, 5, -543?\nAnswer: -543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -110123 rounded to the nearest one hundred?\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, y: 1}. What is prob of sequence yp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 4*v + 60, -4 = q - 0*q. Let i = 34 + v. Let r(k) = -k + 51. Let a be r(6). What is the greatest common divisor of a and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3 = 0, 0*t - 3 = t - 5*v. Let b(y) = -2 + 0*y + 12*y + 0. Is 11 a factor of b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(729)*-2 - sqrt(729))*-2)\/((sqrt(363) - sqrt(363)*-3) + sqrt(162)\/sqrt(6)).\nAnswer: 54*sqrt(3)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -475 <= -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 70*h**2 - 7*h - 3. Let v be (-1)\/(-2) - 2\/(8\/6). Calculate the remainder when u(v) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -69\/2 + 893\/26. Let u(z) = z**3 - 4*z**2 + 2*z + 4. Let w be u(3). Let g be -1 - w - (-9)\/4. Which is the closest to 0?  (a) -3  (b) h  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 20  (b) -4  (c) -17  (d) 2  (e) 0  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r**2 - 2*r - 2. Suppose -2 = -2*k + f + 3, 0 = -5*k + 4*f + 14. Let y(o) = 0 + 23*o**2 + k - 24*o**2 + 2*o. Give -4*s(a) - 5*y(a).\nAnswer: -3*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 3686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + y + 3*y = 1942, 0 = m + 3*y - 968. What are the prime factors of m?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + 3*x**2 + 3*x + 9. Let j be o(4). Solve j*v + 7 + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284305 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 10, o: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100100101010 (base 2) to base 5.\nAnswer: 33341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 9 + 5, 4*b + 4*r - 22040 = 0. Is b a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -1\/2, 5, 0.4.\nAnswer: -1\/2, 0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -252*g - 92*g - 205*g.\nAnswer: -549*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1223141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 24. Suppose a = v - 3*v. Let p(g) = 2*g + 5. Give p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -476895 rounded to the nearest 1000?\nAnswer: -477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*r + 7, 4*w + 0*w - 16 = 0. Suppose 4*l + 3*k = 6*l - 24, 0 = 2*l + r*k. Solve 3*d = -3*f + 18, -2*d - 2*d = -2*f - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ptttpp. What is prob of picking 3 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/4, 1\/2, 61\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u**2 - u**2 - 2*u**2)*(-2 - 3 - 7) to the form i*u + z*u**2 + c and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ldzhdzy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8*692\nAnswer: 5536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -3*v**5\/4 + 237*v**4\/2 - 201*v**3\/2 - 2706*v**2 - 1683*v\/4 + 21195\/2 = 0.\nAnswer: -3, 2, 5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -3*w**3 - 9*w**2 - 11*w - 95. Is u(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22257, -22232, -22191, -22128, -22037?\n\"Answer: r**3 + 2*r**2 + 12*r - 22272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 132714392*h**3 + 140446459 wrt h?\nAnswer: 398143176*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/7475)\/((-1382)\/17275).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 146496 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 498143807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 335934 and 6077917.\nAnswer: 6221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 0, -1 in ascending order.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(8) - sqrt(8))*-1 - -3*(sqrt(8) - sqrt(32)))\/(sqrt(4) + (sqrt(40)\/sqrt(160) - sqrt(4)) + sqrt(16)\/sqrt(4)*-3).\nAnswer: 16*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 - 16*p + 44. Let x be r(13). Suppose -2*i = -4*i + 5*m + 550, -x*i - 2*m = -1317. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -21*j + 35. List the prime factors of t(-16).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1654264 divided by 4.\nAnswer: -413566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-5 - (-8 - -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 9*s**2 - s + 12. Let o be p(9). Suppose -40 + 130 = o*w. Calculate the highest common factor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 3 + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 210 + 27. Suppose 2*h + 152 = 4*x, 4*h - 34*x = -32*x - 322. Let y = o + h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 18675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 184616 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -293?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35006.388 + 35028.3879969. Let f = -22 + r. Round f to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w**3 - 11*w**2 + 4*w - 12. Let z(u) = -5*u**3 + 12*u**2 - 3*u + 13. Let x(b) = -4*k(b) - 3*z(b). What is the units digit of x(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21378022 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, f: 5, b: 1, g: 1, i: 3, u: 1}. What is prob of sequence cu?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(112)*-6 - sqrt(7)) - (1 + (sqrt(175) - (-2 + sqrt(175)))).\nAnswer: -25*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w + 4. Let s be h(3). Let t be 3\/s - (-26 + 29). Let g be 1*2 + (-128)\/44. Do g and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 652726 is divided by 18131.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + -18)*(-24)\/18. Let b be z\/15*(-66)\/4. Let o be -1 - 3 - (b - -1). Solve 4*l - 2*x = -10, -4*l + x = l + o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0570538896 and 0.1?\nAnswer: -0.00570538896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {u: 4, d: 5, f: 2, r: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l - 6. Let i be 2\/(-1)*10\/(-4). Let b(w) = i*w + 5*w + 2*w - 8*w + 7. What is 4*b(u) + 5*r(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2425, -4858, -7295, -9736, -12181, -14630, -17083?\n\"Answer: -2*x**2 - 2427*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of -i**3\/6 - i. Let m = 50 + -44. Let q(k) = 20*k - m*k - 9*k. Determine q(n(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 3:06 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u\/u**(-15\/8)))**(7\/6)\/((u\/(u*u*(u\/(u*u\/(u*u**(-14))*u)*u)\/u*u))\/u**(9\/5)))**(-41) assuming u is positive.\nAnswer: u**(120253\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*c - 5870*c**3 - 138361*c**2 + 138360*c**2 - 3*c + 1884*c**3 + 0*c + 1 as t + p*c**3 + f*c**2 + k*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m + 2*m + 0*m)*(4 - 1 - 1) + m + 3*m + 0*m + 394*m - 119*m - 161*m + m - m + m + (0 + 1 + 1)*(6 - 6 - m) to h*m + g and give h.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of x**6\/15 - 3*x**5\/20 - 299*x**4\/6 + 46*x**3\/3 - x**2 + x - 1565. Find the second derivative of y(m) wrt m.\nAnswer: 24*m**2 - 18*m - 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 520, 525, 542, 577, 636, 725, 850, 1017?\n\"Answer: j**3 - 2*j + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 8. Suppose -4*q - 8 = 4*g, q + 7 + 3 = s*g. Is 5 a factor of 15 - (-1)\/g*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7*((-172)\/(-28) + -3). Suppose 26*u = q*u. Let g(d) = d**2 - d - 2. Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 11187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 91 + -64. Let x(r) = 18*r - 5 - s*r + 18*r. Let o be x(3). What is the greatest common factor of o and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1*5)\/((-27)\/(-702)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + r + 2 + 20 = 0, 0 = -4*s + 3*r + 11. Suppose -s = -k - 4. Solve a + 2*d = d - k, 3*d = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 7:47 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 300 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(3) - sqrt(1200)) + 1 + sqrt(12)\/sqrt(4) + sqrt(3)))**2 + 2.\nAnswer: -306*sqrt(3) + 7814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 5*y + 4. Let z be s(5). Suppose 4 = -z*a + 2*a. Let q be (2*(-2)\/4)\/1. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12316*g + 56 = 12314*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -18.3 + -7578036\nAnswer: -7578054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of 0*n**2 - 29*n - 1\/6*n**4 + 0 + 0*n**3. Let w(l) = 30*l. Determine w(g(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (92\/230)\/(371\/(-35)) + (-5740)\/(-424).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 8*n = 580. Let y = 1013\/7 - n. Is -1\/3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30*t**4 + 5697933*t**3 + 380160351*t wrt t?\nAnswer: -360*t**2 + 34187598*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 10:23 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.02  (b) 0.5  (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t + 15 = 15*t. Let u = 67 - 66.99. Let k = 0.11 - u. What is the closest to t in k, -3\/7, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 + -1)*(-1 + 8\/7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -162, -326, -536, -804, -1142, -1562?\n\"Answer: -2*v**3 - 11*v**2 - 117*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7746814 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*h - 32, 2*h = 2*c + 7 + 11. Let n = 5 - 6. Let d = -0.4 - -3.4. What is the closest to 0.1 in d, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 q when four letters picked without replacement from {a: 15, q: 3}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l\/(l**(2\/13)*l)))\/(l*l**(-7\/8)))\/(l\/(l\/l**(-33)))**(-2\/37))**(-31) assuming l is positive.\nAnswer: l**(90055\/3848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by -171353.\nAnswer: -20\/171353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38360474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5*((-16)\/(-10))\/4. Let s = 0 - y. Let m = 14 - s. What is the remainder when 22 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of -i**9\/252 - 3*i**5\/20 + 5*i**2. Find the third derivative of k(g) wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.0958937 milligrams?\nAnswer: 0.0000000958937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 - 4*j - 1. Let b be m(-6). Suppose -5*i + 72 - 247 = 0. Let l = i - b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/2 - (-3 + 1). Let p(f) = -f**2 + 5*f - 3. Let y be p(h). Let i be 9\/78*8\/(-6). Is i >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m + 6. Suppose 4*n = 5*z - 8, 5 = 5*z - 2*n - 9. Let c(w) = 2*w + 17. Give z*c(b) - 11*g(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -99 plus -51992.4577?\nAnswer: -52091.4577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, o: 2, v: 1, g: 5, r: 2, a: 1}. Give prob of picking 1 v and 1 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 42566, 42486, 42384, 42254, 42090, 41886, 41636?\n\"Answer: -w**3 - 5*w**2 - 58*w + 42630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*a**2 + 47614509*a + 354964814?\nAnswer: 8*a + 47614509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -j - 4*j. Calculate the remainder when 51 is divided by (-2 - 0)\/(j\/65).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.132936 - 0.143. Let h = y + 0.01. Round h to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/18 - 41\/(-228). Let r = j + 435\/152. What is the common denominator of r and -43\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6694081731.\nAnswer: 3, 247928953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 268646287 - 71?\nAnswer: 268646216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -57 + 197. Calculate the remainder when 223 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2475 + 2476. Let w = -130 - -88. Which is the closest to -1?  (a) g  (b) w  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (44 + -43)*(-1 - 0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - g - 1. Let w(t) = -t**3 + 108*t + 45. Let b(d) = 3*h(d) + w(d). Differentiate b(k) with respect to k.\nAnswer: 6*k**2 + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-1) - -5)\/((-58170)\/(-46536)). Determine k, given that 2\/3*k**a - 2*k**3 - 8*k - 32\/3*k**2 + 0 = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -9*s. Let b(g) = 2628879*g**2 + 2*g. Determine n(b(q)).\nAnswer: -23659911*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18)\/14 - (-6 - -5). Let x(h) = -h**2 - 5*h + 7. Suppose -2*j - 16 + 4 = 0. Let m be x(j). Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27 + 37. Suppose o - b = 25. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6745 is divided by 733?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2*x - 4*i - 3175 = 0, -2128 = -2*x - 3*i. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 + 1)\/(-8 + (-141078)\/(-17634))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 8*t + 45. Determine r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 34297, 0, -406, -7 in ascending order.\nAnswer: -406, -7, 0, 34297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010100100 + 0?\nAnswer: -11010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + sqrt(28)).\nAnswer: 9 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10042007?\nAnswer: 23, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1562 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1775\/6708 or -1?\nAnswer: -1775\/6708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 572973762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -745 + 1075. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 537*h + 289. Let k(u) = 1609*u + 866. Let c(v) = -4*k(v) + 11*z(v). Find the first derivative of c(g) wrt g.\nAnswer: -529","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 20*p = -25*p + 1640350, 5*g = -3*p + 1640344. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/9649 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 623, 5, 2, -9 in increasing order.\nAnswer: -9, 2, 5, 7, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 76019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 12:27 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m**(2\/5)*m))\/m)**(-44)\/((m**(-11)\/m*m)\/(m*m\/(m**(1\/9)*m*m*m))))**(5\/13) assuming m is positive.\nAnswer: m**(3217\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8681556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-45) + ((-48)\/10)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/17, 0.07, 3, -2\/5 in decreasing order.\nAnswer: 3, 0.07, -4\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*q + 17*q + 3*q + 800 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 4. Let j(y) = y**3 + y**2 - y + 1. Let f(l) = -j(l) - w(l). Let i(d) = -2*d**3 + 2*d - 9. Give 5*f(q) - 3*i(q).\nAnswer: q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 AM and 7:41 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 - 3*p + 1. Let q be y(4). Let j = q + 8. Solve 3*c = -4*g - j, -4*c - 20 + 4 = 4*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u*u**(-3)*u*u)\/u)**(-9\/11)*(u\/(u**(6\/11)\/u))\/(u*u\/(u\/(u\/(u*u**(1\/12)*u)))*u))**(-3) assuming u is positive.\nAnswer: u**(-71\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1473 and -0.14778.\nAnswer: 0.021767994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -168*v - 8. Let m(p) = -166*p - 7. Give 7*m(y) - 6*z(y).\nAnswer: -154*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.13 and 2115591?\nAnswer: 2115590.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 12) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2*o + 3*g = 27, -5*o = -3*g - 37. Let s(d) = 5 - 5 + o*d. Let r(c) = 112*c**2 - 371*c**2 + 120*c**2 + 135*c**2. Give s(r(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.31 * 0.05\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - -4 - (-2)\/(-1). Suppose 2*y = -d*g + 832, 3*y + 148 + 689 = 3*g. What are the prime factors of g?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5872361 + -3273100.3.\nAnswer: 2599260.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 637 - -1567. Suppose 29*l + q = 67*l. What is the greatest common factor of 116 and l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -b**5\/20 + b**4\/6 - 2*b**3\/3 + b**2 + 12*b. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, f: 2, a: 7}. Give prob of sequence fta.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 676 and 16.\nAnswer: 2704","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 wdwddwdwdw?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 187737\/28 + -6701. Find the common denominator of z and -55\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 5*z + 23, -28 = -2*n - 5*z + z. Suppose -4*k + 4 = -n. Solve -k*g + 0*g = -6, -3*g = 4*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 5, 1\/12, -1, -0.04?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -20. Let k be (-4)\/16*-44 - o*2. Suppose -2*d + 0*w - 16 = -4*w, 0 = -3*w + 12. Solve -x + k - 8 = d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128 is divided by (-5)\/10 - ((-2915)\/10)\/11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46883341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*d**4*n**3 + 2*d**4*n + d*n - 2*n**3 - n**2 wrt d?\nAnswer: -40*d**3*n**3 + 8*d**3*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1020 + -379. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 3*g + g + 3*x, 3*x = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2651000 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -20532.4 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.664163 + -0.63839. Round u to 4 dps.\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/24)\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 219416*b - 23 = -219421*b, b + 2 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a + 30*a - 21*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16214 and 2077.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*b**3 + 238*b**2 - 24*b - 72 = 0. What is b?\nAnswer: -6\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 10:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.053 + -2.847. Let k = -88 + 87.9. Is j at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.023 in -5\/6, 2, -3\/4, -3\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-7\/5)*g)\/g**2)\/((g**(4\/37)*g)\/g)**(-21) assuming g is positive.\nAnswer: g**(679\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92, -767, -2594, -6149, -12008, -20747, -32942?\nAnswer: -49169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47 + 46. Let h be n*((-2)\/9 + (-4)\/(-18)). Suppose h*d = -d. Solve -2*y = -d*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/9)\/(180\/162)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d - 3. Let q = 6 + -3. Suppose -2*k - q = 2*s + 7, 2*k + s + 9 = 0. List the prime factors of v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 9*d - 38. Let n be q(-13). Let k be ((-2)\/n)\/(6 + (-104)\/14). Solve -1\/10*u - 1\/10*u**2 + 0 + k*u**4 + 1\/10*u**3 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (64 - (33 - 5 - 43)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9076537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -22112165.2 to the nearest one hundred thousand.\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/4 and -47\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13172\/19 + -693. Is 1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhklhlkkkkkh. Give prob of picking 1 l and 1 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4*v - 4, 0*g - 20 = 5*g. Let h = 6 - 4. Let k = -190 + 190. Solve k = -h*r - 2*b + v*b + 12, 0 = -3*r - b + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3304*m**2. Let z(r) be the second derivative of r**3\/6 - 1843*r. Determine i(z(o)).\nAnswer: 3304*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -316, -1993, -5026, -9415, -15160, -22261?\nAnswer: -30718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 343295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eleven eighths of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -3*h - 19, 0*a + 3*a = 3*h + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 67 and 3722881.\nAnswer: 3722948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312239.\nAnswer: 17, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 320046760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k*k\/((k*k*(k*k**24*k)\/k)\/k)*k)*(k\/(k**(2\/33)*k)*k)\/k*k*k**23*k**(-5\/3)\/k)**50 assuming k is positive.\nAnswer: k**(24350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 9*u**2 - 11*u + 14. Calculate r(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 110166 or 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbabbaabttta. Give prob of picking 2 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssrddds. What is prob of sequence rs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - c**2 - 5. Let b be x(0). Let n be (-10)\/(-2) - (-2 - b). Let j be (2 - 7502) + (2 - n). Round j to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1038, -2080, -3136, -4212, -5314, -6448, -7620, -8836?\nAnswer: -10102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/22 - (-232)\/176. Which is the closest to -2?  (a) u  (b) -2  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 132.49, -2, -0.5, -5.\nAnswer: -5, -2, -0.5, 132.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 5*m = -75, -4*i - 5*m + 6 = -18. Calculate the remainder when 43 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - x**2 + x - 1. Suppose -3*g + g - 5*f = -11, 3*f = 2*g - 3. Let p(k) = 1 - k + g*k**2 + 0 - 2*k - k**2. Determine p(l) + 2*t(l).\nAnswer: -2*l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or -90923097?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 319725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-79)\/(-4)*(-9864)\/(-2466).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**(-3\/2)*q)\/(q\/(q**(-6)*q)))\/(q**(2\/19)*q\/q**(-1)))**(16\/5))**(3\/4) assuming q is positive.\nAnswer: q**(-1962\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -2\/3  (c) -3\/4  (d) -1  (e) 393  (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2304 + 73*r + r**2 - 3*r + 9*r + 17*r.\nAnswer: (r + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3 + ((sqrt(60)\/sqrt(2))\/sqrt(10) - sqrt(3))) + ((3 + sqrt(27))**2 - sqrt(33)\/(-3*sqrt(11))))*2.\nAnswer: 110*sqrt(3)\/3 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 20*r - 3. Let f be (-3 - -3)\/((-4)\/2). Let m(q) = -4*q + f*q - 3*q + 1 + 0*q. Determine 11*m(b) + 4*p(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1817 + 7315\/4. Find the common denominator of -35\/9 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -7*r - 11 + 11. Let g(k) = -34*k + 14*k + 24*k. Determine g(q(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 20, -3*t + 11 = -4*h - 17. What is the smallest common multiple of t and 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/12*2)\/((-7020)\/219024*2\/5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 474, 946, 1418, 1890, 2362?\n\"Answer: 472*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8953 = -4*g + t, -2*g + 0*t = 2*t - 4464. Is 71 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*b**5*i**2 - 959*b**2*i**2 - 28*b*i + b - i**2 + i + 18 wrt b.\nAnswer: -120*b**3*i**2 - 1918*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9260 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000053 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h + 0 + 0)*(-2 + 23 + 0 + 11)*(-11*h - 4*h + 42*h) to z + d*h + s*h**2 and give s.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(429)\/((sqrt(110)*1)\/sqrt(10)))\/((-6*(sqrt(120)\/sqrt(4) + sqrt(30)))\/sqrt(10))*2.\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(190)*1 - 1*(sqrt(190) + (sqrt(190) - sqrt(190)*2)))*-6)\/((sqrt(10) - (-1*sqrt(30) - sqrt(30))\/sqrt(3)) + -1*sqrt(640)))**2*4.\nAnswer: 10944\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, s: 2}. What is prob of picking 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1026)\/(-38) - (-2 - -10). Let o(z) be the first derivative of 1\/11*z**2 + 2\/33*z**3 + q - 4\/11*z. Find x such that o(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51225 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -5, -1\/5, 94, 0.01, -1\/30 in decreasing order.\nAnswer: 94, 0.3, 0.01, -1\/30, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - 123*m - 2660. Let l be r(-95). Solve 27*z + 135 - 81 = l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 16. Suppose -4*v = 4, -2*n + 0*v + 4*v = -r. Find the second derivative of 4*y**4 + 2*y - 6*y**4 + n*y**4 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 277655 and 396650?\nAnswer: 2776550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212 = -44*y + 433 - 293 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 a factor of 409141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**2 + 137*c - 602. Give r(-38).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1142\/7, -3, 1, -0.5, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1062 - -4?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 9:41 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 + 100. What is the remainder when 41 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*j - 10 = -28*j. Put -1, -5, j in increasing order.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 316 and 111943.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10296?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27342070?\nAnswer: 2, 5, 7, 29, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.123 + 1.777. What is the third smallest value in l, -377, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 4, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gqgqqbgg. What is prob of sequence ggg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*l**3 + l**2*p - 77*l**2 + 19*l*p + 33 wrt l?\nAnswer: -18*l + 2*p - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(396))*1*-4.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in thirteen sevenths of a week?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + -3)*1 + 5. Suppose k*q = -3*o - q + 181, 2*q - 232 = -4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 1167660?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5)*(-10)\/6. Which is the smallest value?  (a) i  (b) 0.04  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2*c - 436 = -318, -c + 265 = 5*p. Solve -h - p = 26*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36\/10*(-5200)\/(-78) is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95027 divided by -4?\nAnswer: -95027\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - 3. Let t = -1.6 + 1.67. Let s = t - 0.37. What is the second biggest value in 4, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47319088 to the power of 1\/2, to the nearest integer?\nAnswer: 6879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 less than or equal to -562.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78765 - 55*p**3 + 54*p**3 + 78732.\nAnswer: -p**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - s + 3 = 0, 9 = 4*v + s - 0*s. Differentiate -41 + 29*b**3 + 12*b**3 + 31*b**v + 8*b**3 with respect to b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = 28, 4*n - 1 = -0*n - 4*z - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*5\/(-60)*(-32)\/(-204).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.18?  (a) -106  (b) -5\/4  (c) 0.2  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -b**5\/4 - 663*b**4\/4 - 146743*b**3\/4 - 10891101*b**2\/4 - 2686255*b = 0?\nAnswer: -221, -220, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 9:05 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3 + 143*w**2 - 724*w + 420.\nAnswer: -(w - 42)*(w - 5)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 6, d: 2}. Give prob of picking 3 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7654994 seconds to nanoseconds.\nAnswer: 765499400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(0 - 5 + 2)*(7 - 4*o**3 - 7) - 3 + 3 + o**3 + 0*o**3 + 2*o**3 + o**3 - o**3 - o**3 + 0*o**3 + (3 + 0 - 4)*(1 - o**3 - 1).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2. Let f(m) be the third derivative of -4*m**2 - 1\/15*m**5 + 0 + 0*m**3 - 1\/6*m**4 + 0*m. Give n(f(a)).\nAnswer: 32*a**4 + 64*a**3 + 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lzegyylggylgyy. Give prob of picking 2 l and 2 y.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 895.6485 minutes in hours?\nAnswer: 14.927475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**4 + 84*z**3 + 654*z**2 + 1068*z + 495.\nAnswer: 3*(z + 1)**2*(z + 11)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 101521544 divided by 2018\nAnswer: 50308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41137, 328979, 1110217, 2631547, 5139665, 8881267, 14103049?\nAnswer: 21051707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 2:42 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.12  (b) -22\/73  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 16 = -4*t - 34, -2*t = y + 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3336613 * 0.23.\nAnswer: -0.076742099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/5 or -354919?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 1 - (-20)\/4. Let n = -3 + y. Suppose 0*g + 5*g - 16 = n*k, -16 = 5*g + 4*k. Solve 2*d + 5*j + 0*j + 24 = g, 0 = 4*d - 5*j - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/99*6\/(-10)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 1368.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1  (b) 3  (c) 2\/3  (d) 1977  (e) -1.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 45*w - 1. Let x be m(1). Let q = -94 + x. Let u = -36 - q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*t = 2 + 18, -2*p + 4*t = -48. Suppose -o + 5 - p = -5*h, 4*o + 3*h - 23 = 0. What is the third smallest value in 3, -0.8, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2479184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -19*4.71\nAnswer: -89.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/5074 and -111\/22?\nAnswer: 55814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 371.812516 + -371.8. What is x rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - 3*k)*(-1 - k + 1)*(3 - 6 + 10) to v*k**2 + y*k + o and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(2\/55))\/d)**5)**(-2\/5) assuming d is positive.\nAnswer: d**(4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -75\/9606382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80385 is divided by 203.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 25\/50726, 1, -0.04 in descending order.\nAnswer: 1, 25\/50726, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 13 - 7. Let x = 0 + 7. Let d = x + m. What is the smallest value in 5, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.7 * 228150.\nAnswer: 616005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -1. Let h be ((-39)\/l)\/(1\/2). Suppose -4*j = -2*j - 6. Solve j*c - h = -2*t, 5*t = c - 2*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 AM and 1:41 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00089334 rounded to 5 dps?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 + 8*a + 1. Let i = -69 - -124. Let l be 1*11*-1 - (i + -59). Determine n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2. Let r(j) = 2*j**2 + 28249*j - 366. What is r(f(k))?\nAnswer: 2*k**4 - 28249*k**2 - 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2145?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/27*1*2\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 + 23. Solve c = -l*p - 7, 0*c - 14 = 4*p - c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 6*w + 15. What is p(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -31 + 102 - 22 - 49 + 27697*h**2 in the form r + u*h**2 + i*h and give u.\nAnswer: 27697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2177 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 - 544*c - 6633. Determine q(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**5\/8 - 3*y**4 - 97*y**3\/4 - 72*y**2 - 405*y\/8 = 0.\nAnswer: -9, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 177c33 (base 13) in base 6?\nAnswer: 20341153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*r**2 + 245*r**2 + 305*r - 98*r - 104*r - 103*r.\nAnswer: 230*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5083*j**2 + 1570*j**2 - 4096*j**2 - 5445*j**2.\nAnswer: -13054*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4133\/(-66128) + 2306\/32?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (11*(-72)\/(-495))\/((16\/10)\/4). Let x = -99 + 71. Let p be 8\/x + g\/14. Solve -2*t - 3*l + 5 + 18 = 0, -t + l - 1 = p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10404103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294 is divided by 121.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -5 - 2 + 6. Let k(u) = -13*u + 2. Let m(l) = 7*l - 1. Let d(q) = 6*k(q) + 11*m(q). What is -d(t) - w(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 - -87. Let c = -51 + g. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-1 + (0 - 1)). What is the tens digit of g - (3 + -1 - 23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, m: 4}. Give prob of picking 2 n.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -1, -2\/13, -5, -14, 238?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5 - 200*i + 6790*i**3 + 507*i + 115*i**2 - 306*i wrt i.\nAnswer: 40740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -63*z**7\/2 - 357*z**6\/10 + 12*z**5 - z**4 + 14*z + 2. Factor i(p).\nAnswer: -3*p**2*(p + 1)*(21*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -763 + 763. Is -66.8 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 742*m + 7744 - 20881 = 38803 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -680\/31?\nAnswer: -680\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -34 - (-4 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 77609 * 3\nAnswer: 232827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -56\/3 or -1121345?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 38 = 2*l, 0*l = 3*l + 3*r - 57. Suppose t - 2*d - l = d, -2*t - 2*d + 22 = 0. What is the remainder when 37 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2. Let i(b) = b**3 + 7*b**2 + 6*b + 4. Let n be i(-6). Let y(q) = 4*q**2 + 3*q**2 - n*q**2. Give y(t(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13549289 a multiple of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2\/13))**(-26)*(z**(-2\/9)*z*z*z)**(-1\/4) assuming z is positive.\nAnswer: z**(-1105\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(175\/(-15)) + 48\/14. Let w = -23 + 71\/3. Let f be (-1)\/(-3)*(-33)\/(-22). What is the nearest to f in i, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17398080, -34796163, -52194246?\nAnswer: -69592329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 0 - (-862 - -915)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h. Let z(x) = 12*x**3 - 8*x**2 + x. Let j(v) = -t(v) - z(v). What is the third derivative of j(k) wrt k?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 286865579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + 1 - 1)*-4. Suppose -a - 10 = -q*n, -4*n = 3*a + 1 - 3. Let s(y) = y**3 + 18*y**2 + y + 20. Calculate the least common multiple of s(-18) and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 30 + 14)*(-1045 + 1045 - 61*x)*(3 - 1 - 3).\nAnswer: 2623*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14.62945 + 14.61. Round l to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -788 + 791. Which is the nearest to 1\/2?  (a) -5  (b) -0.4  (c) 11  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 130, 132, 136, 142, 150?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (4 + 11)) + 18 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + -2 + sqrt(11) + sqrt(11)*-3 + -5)**2.\nAnswer: -14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 + 90*s**3 - 27 - 38 - 4*s**2.\nAnswer: 90*s**3 - 2*s**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8974 - -8974.4. What is the closest to 3 in z, -2\/9, -6, -2\/45?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, a: 1, j: 3, z: 1, b: 1}. Give prob of picking 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5*d + 2*d + 5737, -2*d = -5*i - 5733. Let u = i - -6899\/6. Find the common denominator of (-23*4\/(-5) + 2)\/(-4) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16402)\/(-1357) + (4\/(-16))\/(253\/88).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2 = -b - 1, -5*b = -3*h + 15. Let v(c) be the first derivative of c**3\/3 + 8*c - 488. Calculate the smallest common multiple of 4 and v(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -3234464.\nAnswer: 1\/1617232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1208633 is divided by 1259.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-13 - -6) + (0 - -8). Put -0.02, s, -0.01 in descending order.\nAnswer: s, -0.01, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30*(2 + 9\/6). Suppose z - 75 = 124. Let q = z - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272\/10*325*321\/27820?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 262 in 3, 0.3, -2\/27, -2\/7, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4104 and 2584.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-4.1\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 104\/210 - 4\/10. Let y = -79930.1 - -79930. What is the closest to y in -2\/7, h, 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -6*f + 36. Suppose 4*q - q + f = 0. What are the prime factors of (-10)\/q*(-6)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3342 divided by 1?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21bc7d (base 15) to base 10\nAnswer: -1609318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12830709 is divided by 2601?\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100043 (base 5) in base 7?\nAnswer: 105506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -79*g**4 - g**2 + 7*g + 284. Find the second derivative of d(r) wrt r.\nAnswer: -1896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-4 + sqrt(500) + 1)*2 - (sqrt(500)*-2 + -5 + 4*(sqrt(500) + -2)))**2 + 5.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 89828.7718 to zero dps.\nAnswer: 89829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 34 times -74\nAnswer: -2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 4*h. Let b be a(-5). Let p be (-2*b)\/((-2)\/2). Suppose -2*v + 3*r + 13 = 2*r, 3*v - 2*r = 17. Is v != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6876 is divided by 88.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*z - 22*z - 6*z + 50*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 30  (b) -0.3  (c) -0.1  (d) -3\/137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -10\/27?\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 4*r - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3096, -3097, -3106, -3129, -3172?\n\"Answer: -i**3 + 2*i**2 - 3097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -67706 divided by 194\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4, -29, -100, -241, -476, -829?\n\"Answer: -4*r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/17428 and -49\/6.\nAnswer: 52284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 444499691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a7 - -3?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/32)\/((-182)\/(-364))*472\/((-8)\/(-2)).\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*a**2*y + 75*a**2 + 11*a*y + 21*a + 217*y + 4 wrt y?\nAnswer: 6*a**2 + 11*a + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**3 + j**2 - 7*j + 9. Let r be g(2). What is the remainder when (r\/4)\/((-1)\/(-8)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149642719 rounded to the nearest one million?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 - 16*z**2 - z - 2. Is 2 a factor of a(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*1\/(-8)*4. Let w be (-8)\/16 - (g - -1). Let u = -1 + 1. Which is the smallest value?  (a) -5  (b) w  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -10, -4*o + 2*o = 3*z - 64. Let t(l) = -l**3 + 29*l**2 + 11*l + 2. Does 36 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2700768481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 - 0.2. Let d = -47 - -43. What is the nearest to -0.1 in -1\/4, b, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 252, 535, 802, 1047, 1264, 1447, 1590, 1687?\n\"Answer: -x**3 - 2*x**2 + 296*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 13 - 12 = 0, 70 = 5*z - 3*h. Suppose -w + 3*s = -13, 5*w - z*s - 11 = -14*s. Solve -3*y = 5*p - 29, 0 = -p + w*y - 7 - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.4281603 to 1 dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**4 + 203*h**3 - 180*h**2 - 3*h - 3. Let v(k) = 12*k**4 + 2224*k**3 - 1980*k**2 - 32*k - 32. Let y(r) = -32*a(r) + 3*v(r). Factor y(c).\nAnswer: 4*c**2*(c - 1)*(c + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 4 = 2*b, 3*b - 5*c + 746 - 750 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*i**3 + 1750835*i**2 + 28706970*i.\nAnswer: 5*i*(i + 70017)*(5*i + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, 5, -4, -440, 1 in ascending order.\nAnswer: -440, -44, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 5*j - 4. Let p be d(3). Suppose 0*z - p = z. Let r be 2\/(z - 871\/(-435)). Round r to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84071*p**2 - 32319*p + 2?\nAnswer: -168142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 35*o. Let k(x) = -x. Let s be (10\/(-3))\/(4\/(-216)*-6). What is s*k(h) - v(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-36)\/(-15) - (-8)\/(-20). Suppose -3*j - 2 + 5 = 3*f, -q*f - 4 = 0. What is the derivative of -5*n**2 + 5*n**2 + j + 6*n**4 wrt n?\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -15*r**2\/2 - 378. Let p(b) be the second derivative of 4*b**4\/3 - b. Calculate x(p(g)).\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8, 4, 16, 28, 40, 52?\n\"Answer: 12*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200876934.\nAnswer: 2, 3, 79, 423791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 640, 640, 642, 646?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 0*c**2 + 32 - 89 + 96*c - 50 - 3*c**2 + 30*c. Calculate m(41).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -444381, -444382, -444383, -444384, -444385, -444386?\nAnswer: -444387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/376298 and -65\/4111038.\nAnswer: 2191183254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 300 = -5*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -q**3\/3 + 9*q**2\/2 - 7*q + 2. Calculate the remainder when g(5) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3145 and 875124?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 24 = 4*s - 29, -5*s - 8 = 2*l. Let d = -7 - -15. Let c be 2\/l + d\/36. Is 2\/13 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2410842, -4821679, -7232516, -9643353?\nAnswer: -12054190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.4 - 0.4. Let n = j + -1. Let k = -5.7 + n. Sort k, 0.5, 4 in increasing order.\nAnswer: k, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -15*m + 1100. Let x(u) = 27*u**2 + 20*u**2 - 38*u - m - u - 44*u**2. Is x(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3644846?\nAnswer: 2, 19, 95917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + w + 1. Let d(n) = 9*n**2 + 2*n. Let b(x) = -d(x) - 4*s(x). Let h(i) = -26234*i**2 + i + 7 + 26243*i**2 + 10*i. Give 7*b(t) + 4*h(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/7)*j*j**5)\/(j**(1\/2)*j**(-10\/3)) assuming j is positive.\nAnswer: j**(383\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*s + 228 = -39*s. What is the highest common factor of s and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -78 in -26, 0, 125, -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23782 + 9171 = 705*y + 4048 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15026, -14878, -14752, -14660, -14614, -14626?\nAnswer: -14708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-78)\/18)\/(1\/(-1059)). Suppose 0 = -3*u + 2*i + 2192, -2*i = -5*u + k - 937. Let r = u + -437. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -28411, -28684, -29139, -29776?\n\"Answer: -91*l**2 - 28320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c + c + 10*c + 1.\nAnswer: 16*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - -5 - 9 - (-4 + 8 + -16 + 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 21 = -u, 3*u + 96 = -5*o + 29. Let h be (-23)\/(-5) - u\/60. Let t(f) = f**3 - 4*f**2 - 4*f - 5. Determine t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -12158, -32, 5, 0, -15 in decreasing order.\nAnswer: 5, 0, -1, -15, -32, -12158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -39610 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-3)\/k)**(-4\/3)\/(k*k*(k\/(k*k\/(k*k*k**(-28)*k)*k)*k)\/k)**43)**(-1\/3) assuming k is positive.\nAnswer: k**(-3241\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 479769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7926, -7925, -7924, -7923, -7922, -7921?\nAnswer: -7920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*j*q**5 - 11881786*j*q**2 - 329377042*j*q - 2*q wrt q?\nAnswer: 100*j*q**3 - 23763572*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f. Let n(l) = -3*l. Determine 6*n(k) - 17*r(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o - 17. Let a be 9\/(-24) + 61\/(-8). Let q(w) = 2*w + 6. What is a*q(z) - 3*m(z)?\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(-2 + (-54)\/(-4)). Solve -3*d = 2*d - t + 26, 5*d + w = -2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25649 and 5018?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 584*m**3*z - 2*m**2*z + 461*z wrt m?\nAnswer: 1752*m**2*z - 4*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1101, 0, -8, 0.02, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**5 - 22395*y**4 + 44830*y**3 + 89610*y**2 - 44825*y - 67215 = 0 for y.\nAnswer: -4481, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 + 4*x**2 + 5*x + 5. Calculate f(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a + 5*a**3 + 4*a + (5*a - 6*a + 0*a)*(2*a**2 + 0*a**2 - a**2) + 52*a**2 + 69*a**3 - 52*a**2.\nAnswer: 73*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6859 and 49839299.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from kcculukjkclxju?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(567) + sqrt(567))**2 + sqrt(567) - ((0 + sqrt(7) - sqrt(7)) + 2)**2) + 5.\nAnswer: 45*sqrt(7) + 2270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 4*l = 15. Let y(k) = k**2 - 2*k - 4. Determine y(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 622.\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3, -27, -103, -249, -489, -847, -1347, -2013?\n\"Answer: -4*y**3 + y**2 - 5*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -372 - -181. Let k = -79 - h. Let l = 224 - k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 734 and 732 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -4*p**2 + 17*p - 36. Let s(m) = m**2 - m + 1. Let f(l) = 2*d(l) + 6*s(l). Factor f(v).\nAnswer: -2*(v - 11)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h**2 - 4*h + 2. Let s be a(2). Sort 5, s, 0.23.\nAnswer: 0.23, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -45*f**2\/2 + 26984*f - 248710 = 0. Calculate f.\nAnswer: 418\/45, 1190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -0.4  (c) 64\/29  (d) 21  (e) 4  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, d: 14}. Give prob of sequence dd.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*y**3 - 35*y**3 + 6174 - 3009 - 3165.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17137*h**2 + 8875*h**2 + 9277*h**2.\nAnswer: 1015*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 3*p + 36, -4*p - p - 10 = 0. Let w(n) = 0*n**3 + 3 - 6*n**2 + 6*n - 5*n**3 - 3*n + u*n**3. Give w(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9.4 - -8. Let f = 0.6 - z. Let h = -1.8 + f. Which is the nearest to -2\/3?  (a) 5  (b) h  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408316858 is divided by 4415.\nAnswer: 4413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of -h**4\/8 - 3*h**3 - 7*h**2\/2 + h. Let p(z) be the first derivative of u(z). Let i be p(-7). Is 9\/5 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3570578?\nAnswer: 2, 11, 17, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2597 divided by 9.\nAnswer: 2597\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -222*m**2 + 3808*m - 16266. What is s(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 + 29. Suppose 3*f = -4*k - 0*f - 12, -3*f - 12 = b*k. What is the second smallest value in 1\/2, k, -1\/16, -0.5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(80))\/sqrt(10) + sqrt(8))*6 + -2.\nAnswer: -2 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37876238759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 13. Let b = -4 + 22. Suppose 3*g - b = -3*i, -5*g + 9 = -2*i - 0. Solve x + i = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -980 + 1697. Let l = c + 298. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -141 - -133. Which is the closest to -2?  (a) -2  (b) 2  (c) s  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from njn. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33.9 + -34. Which is the fourth biggest value?  (a) 1\/4  (b) k  (c) 4\/3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-d**2 - 10*d**2 + 0*d**2)*(-12 + 12 + 3*d)*(-20 + 38 - 4) as o*d + m + j*d**2 + p*d**3 and give p.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = 7*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -135337227*m**4 - 52051344*m**2 wrt m?\nAnswer: -3248093448*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-2 + 25 + -6 + -7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from xxxmmsxmmmmmxmmxxmm?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -3 - (-4 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 355?  (a) -0.4  (b) 103  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2700583 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43724 - 18525. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*x + 2493, 4*x - 6*u = 3350 - 892. Solve 9*r - x + 658 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (-5 + 18 - 10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4310013.\nAnswer: 3, 53, 27107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201 + 15 = -18*w. Let p be (1 - (-21)\/w)*4. Let b = 7 + -2. Put b, p, 0, 3 in decreasing order.\nAnswer: b, 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(((-33)\/(-36))\/((-4)\/(-16))).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -865889.427 - -864047. Let n = -1841 - g. What is n rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 7148\nAnswer: -1\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -274180 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z**4 + z**3 - 6*z**3 + 3*z**3)*(56 + 169 - 48).\nAnswer: 1062*z**4 - 354*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 + 5*b. Let q(d) = d**2 - 2*d - 10*d - 2*d + 5*d**2. Calculate -14*l(i) - 5*q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -339416654 greater than -339416654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 5)*(-4*b + b + 2*b)*(1 - 2 + 2).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*y + 534 = 309 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*z - 101, 3*z + 4 = 4*z. Is (i\/(-4))\/((-4)\/(-16)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -17810  (b) 3.1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 27 = -5*g, 2*q = g + 3*g - 20. Suppose -3*v - g*v = -384. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 520 - 512. Let b(h) be the second derivative of 0*h**3 + 0*h**2 + p*h + 1\/12*h**4 + 0. Let f(i) = -i**2. Give b(f(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1133 + 458. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + 12*l - 5. Determine o(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + (-11 - (-215 - -122)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 - 20*y - 133. Let t be z(-29). Let a = 399 + t. Solve 5*i + 20 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*f = -3*n + 27*f + 10, -4*f = -4*n. Find j such that 3\/2*j + 3\/4*j**n + 3\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 5 - 4 - n + 1. What is d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 57*g**2*y**3 - g*y**3 - 73*y**3 wrt g?\nAnswer: 114*g*y**3 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, g: 2, j: 2, h: 11}. What is prob of sequence bjj?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -4*l**5 + 1156*l**4 + 120116*l**3 + 2642540*l**2 - 3008624*l - 5532208 = 0?\nAnswer: -43, -1, 2, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4 - (-4 - (-866)\/84) and -41\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -3*k**2 - k - 2*k**2 + 5*k**2 + 4*k**2. Calculate h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5574 is divided by 556?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z - 6 - 10 = 0. Let q = 42.16 - 0.16. Let f = q - 34. Are f and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-7)\/(21\/(-9)). Suppose -3*h = -2*a + x*a - 38, 238 = 5*a - h. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g + 40*g**3 + 18*g**4 - 22*g**4 - 39*g**3 to b + p*g + z*g**3 + h*g**4 + r*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1014*n**2*r + 4127*n**2 + 2*r**4 - 2*r**2 - 1 wrt r.\nAnswer: -1014*n**2 + 8*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-40)\/x)**(-13\/4)\/(x**(-1\/8)*x*x**(-1\/5)))**(-10) assuming x is positive.\nAnswer: x**(-5303\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/759 and 1\/363.\nAnswer: 8349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 216\/(-81)*(-6)\/4. Suppose -i*g - g = 0. Suppose g = u + 2*u - 261. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 9:12 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 176983476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 131 + 2*x**3 - 153 - 185 - 1464 to t*x + j + r*x**3 + b*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v + 101*v**2 - 543033*v**4 + 1086080*v**4 - 543038*v**4 to the form f*v + t + s*v**4 + j*v**2 + l*v**3 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 4*v**2 - v + 2. Let r = 7 + -11. Let m be c(r). What is the tens digit of m\/(-9) + (-110)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qfdbbqkfbhfb. Give prob of sequence fqf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -19\/12*b**4 + 5*b**3 - 28*b + 0 + 0*b**2. Find the second derivative of s(u) wrt u.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-174*o + 174*o - 9*o**2)*(-o + o + 2*o) + (3*o - 6*o + 4*o)*(-3*o**2 - 2*o**2 + 3*o**2).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 238252?\nAnswer: 2, 7, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41341 + 14517 = 479*x for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -9608 divided by -126\nAnswer: 4804\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -8\/17.\nAnswer: -8\/17, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1300 (base 4) to base 11\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*l - 156 = 0, -3*q + 118 = -3*l + l. Suppose 41*d = q*d - 248. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 776490 and 310596?\nAnswer: 1552980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93751, 93526, 93299, 93070?\nAnswer: 92839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -3 - (-27 + 22 + 20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-6) + 6*2\/9. Suppose -1 = -2*r - n + 4, -3*r + 5*n + l = 0. Solve 0 = -2*h + 4*h - r, 0 = -g - 5*h + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121332311033 (base 4) to base 2.\nAnswer: 11001111110110101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -3*m. Which is greater: m or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5994773069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1197 - 4785\/4. Let r = 40 + -37. Which is the nearest to r?  (a) -0.2  (b) 1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97147.37 plus -1.392?\nAnswer: -97148.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 3, 9, 2 in descending order.\nAnswer: 34, 9, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5 + 4. Let i be (8\/(-5))\/(1\/(-5)). Suppose -f = -i - 8. Calculate the remainder when f is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -406*p - 144*p + 238*p - 320*p.\nAnswer: -632*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2020234 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100111 + -111000000000?\nAnswer: -111101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 113819273 times 5?\nAnswer: 569096365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) -169  (b) -4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**4 + j**4 - j**4)*(5 - 5 - 3*j).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1722 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 11) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n + 4. Let i(j) = 11*j - 11. What is 8*f(r) + 3*i(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 701 = 3*x + 236. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*b**3 + 52*b**3 - 97*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -8*h - 5*c - 112, 0 = 2*h + 4*c + 74. Let a = -35 - h. Solve -a = 3*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13952*v**3 - 104 + 101 - 13933*v**3.\nAnswer: 19*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4406 - -4410. What is the second biggest value in 2\/17, -80, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/2 + 35 + (-2 - 17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1389 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/27)\/((-19)\/57)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 3*d - 39, 36 = d + 2*d - 4*a. Suppose -192 = -5*h + d*h. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 41711*q + 1023229 wrt q?\nAnswer: 41711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -142 - -166. Suppose 12*i - 44 = -3*a + 17*i, -q = -a + 4*i. What is the highest common divisor of a and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2620*n + 23595. Give v(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 2486 - 1366 = 0. Let p = 559 - z. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4899, 19519, 43875, 77961, 121771, 175299, 238539?\n\"Answer: -i**3 + 4874*i**2 + 5*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 4*d - 18, 3*d = -4*x + 2*d. Let z be (x\/5)\/((-2)\/5). Let j = -0.43 + 0.03. Which is the second biggest value?  (a) 1  (b) z  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**3\/17 - 22*k**2\/17 - 80*k\/17 - 96\/17 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2386511, 4773023, 7159535, 9546047, 11932559?\nAnswer: 14319071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/720)\/(2\/24*-6)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(475))*3*4)**2 + ((sqrt(684) - (1*sqrt(684) - sqrt(684)))\/sqrt(12))\/((1*sqrt(3) + sqrt(3))*-5).\nAnswer: 14399*sqrt(19)\/10 + 68544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y - 2. Let o(k) = -223*k**2 + 11*k + 4. What is 2*f(d) + o(d)?\nAnswer: -223*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -206, -355, -762, -1559, -2878, -4851, -7610?\nAnswer: -11287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-12)\/(-64)*(-2)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = p + 26 - 31, 4*z = 4*p - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1625122\/(-140) + (-8)\/40. Let x = o - -11600. Find the common denominator of x and (2\/(-16))\/((-14)\/(-408)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-36)*(60\/(-105) + (-15)\/(-42))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22744 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.8, -0.1, 0.2, 0.0736, -0.03?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.15  (b) -1  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 889 * 14857\nAnswer: 13207873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*z = 13, 5*g + 2*z = 3*g + 12. Let c be -1*3\/(-6)*-4. Let w = g - c. Solve 5 = -0*k + k - w*d, -4*k + 3*d = -11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5\/451 - 10789\/3157. Which is the second biggest value?  (a) 4  (b) -0.1  (c) g  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 41 + 119. Let x = 38 + 91. Suppose x = -4*s + 433. Calculate the remainder when s is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, -18, -61, -122?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -443143.88 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(4) + sqrt(4)*3)*6.\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 3:54 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 390.055 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**5 - 97435*b**3 - 257*b**2 + 97435*b**3 + (-3*b - 3*b + 7*b)*(-2*b**2 + 2*b**2 + b**4) + b**3 + 2*b**5 - b**3.\nAnswer: 4*b**5 - 257*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (1 - (-14 + 29)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*g**2 + 3 + 2*g + 29*g**2 - 11*g**3 - 61*g**2 to c*g**3 + j*g + k + v*g**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t + 1 - 2*t**2 - 1 + 3*t**2. Let i be s(0). Let y(m) = m + 7. Determine y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28384.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x**2 + 1 - 2*x - 2 + 2*x**2 + 0. What is the remainder when 15 is divided by l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28 + -24. Suppose -3*s = -2*s + v*x + 27, 2*x + 45 = -5*s. Let k be 23 - ((6 - 3) + s). Solve -3*u + k = -3*h - h, h + 18 = 3*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007041785 rounded to four dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 3*c - 73, -4*c = -2*h - 5*c + 29. Calculate the remainder when 72\/(-21)*(-280)\/h is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**3\/3 - 276. Let f(o) = -o**2. What is 4*f(r) + n(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 178, 4, -4, 3, 0.\nAnswer: -4, 0, 3, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 7*p. Let m = 30 - p. Suppose -237 = -3*u - m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -11*r + 3. Let c(h) = 30*h - 8. Let x(f) = -3*c(f) - 8*n(f). Let k(g) = -7*g. Let p(y) = -15*y. Let b(o) = 13*k(o) - 6*p(o). Calculate x(b(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.30839 + 0.30839. What is the closest to -2.6 in 5\/2, -2, -7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 159*a - 150*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*l + 2*a - 84, -115 = -3*l + 2*a. Let m = l - 39. Sort 2, m, 31 in decreasing order.\nAnswer: 31, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19.93 and -11.\nAnswer: -219.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49828548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 82132 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -5*m + 3*q, -2*m - q - 278 = -288. Let t = -5077 - -2901. Let o = t + 10924\/5. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/7)\/(6 + 63\/(-14)). Which is the second smallest value?  (a) 5  (b) i  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5251243 - -26594\nAnswer: -5224649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (17 - 11) + -16 - -42 - -34.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 337, 747, 1321?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 11*z - 3. What is d(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**(-1\/4)))\/(q\/((q**(-2)*q)\/q)*q) assuming q is positive.\nAnswer: q**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 43.433 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3*b - 144 = 0, b - 6*b + 40 = d. Let p(j) be the first derivative of 3*j**2\/2 + 44*j - 6. What is the least common multiple of p(-14) and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -5*i - 1. Calculate s(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3310000 (base 4) to base 13.\nAnswer: 7153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -11*t**2 + 33*t**2 + 10*t**2 + 1. What is the tens digit of y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/u**(-5\/9)))\/(u*u\/(u\/(u*u\/u**(14\/3)))*u*u))**(-3\/38) assuming u is positive.\nAnswer: u**(4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 6*u + 3. Let o be w(-6). Let n be (-4)\/(1 + -5) + o. Solve l = 2*v + n, -20 + 4 = -4*l + 3*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116 - 42*r**2 - 381*r + 397*r - 37*r**2 + 115.\nAnswer: -79*r**2 + 16*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 4*h = 2 + 10, 0 = -p + 2*h - 9. Let b = 4 - 5. Is b equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*b + 89*b = 221. What is the remainder when 66 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and -5 - (1*21)\/(36\/(-24))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 + s + 1. Let a(r) = -2*r**2 - 4*r - 27. Determine a(t) + 5*k(t).\nAnswer: 3*t**2 + t - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003780086006 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/((4\/(-10))\/1). Let m(y) = 2*y + 14 + 2*y - j*y. Let z(b) = b**3 - 10*b + 3. Let s be z(-3). Give m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 1) + 3 + 7 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(243) - (sqrt(243)*-2 - sqrt(243))) + ((0 + sqrt(3))*-6)**2 + 5)*-6*-1.\nAnswer: 216*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r = 4*r + 25. Let o(v) be the second derivative of -v**3\/6 + 10*v**2 - 18*v. Let c be o(0). Calculate the greatest common divisor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {s: 2, q: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*m + 91*m - 54801 = -5121. Does 184 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.06 + -3.94. Let z = -4.4 - o. Which is the smallest value?  (a) 0.5  (b) -2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 2*l**7\/105 - l**6\/6 - 2*l**5\/5 - 23*l**2 - 4*l. Determine c so that o(c) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2166013 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33 - -37.04. Let m = 0.3 + -0.26. Let u = m - i. Which is the third biggest value?  (a) u  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -226018*f = -226037*f - 627 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 26 = -y + 3*c, -4*y + 5*c - 98 = 0. Calculate the common denominator of -35\/16 and y\/(-33) + -1 + (-14378)\/3080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 227 + 205. Solve 2 = -k*j + 21*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 2)*1362747\/2. Suppose 0 = -3*k + 4*h + 1226241, -2*h - 669771 = -4*k + 965217. Suppose k = 10*r + q. Round r to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 - (61 - (-12 + 17))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000901 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 288 + 296 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54205789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 7*w - 240 = 0. Let d be (36\/w)\/((-2)\/4). Suppose -d*g = 5*g - 456. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34.00695 rounded to 1 decimal place?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4335 divided by 13\nAnswer: 4335\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -59*s. Let n(j) be the second derivative of 5*j**3\/3 + 159*j - 4. What is g(n(k))?\nAnswer: -590*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372*x - 328*x = -1848 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 243345340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -16\/7 + 0*b + 4\/7*b**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349943 is divided by 356.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 6*d = -14. Suppose 3*o + d = 25. Suppose -3*p = -2*q - 2, -4*q - 4 = -p + o*p. Sort -4, 5, p.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*f + 18*f = 0. Let k(q) = q**2 - 3*q - 2. Let w be k(4). Which is the second smallest value?  (a) -4  (b) w  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2426953)\/((-3)\/(-3)))\/1. Let d be (-12)\/(-16) - z\/4. Let r = d + -886739. Round r to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*q - 1 = 0, -r - 3*r + 7 = -3*q. Suppose d + 15 = 5*m - d, -3*m = -5*d + 10. What is the greatest common factor of r and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7145310 and 224460.\nAnswer: 42871860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 157*g**2*o**4 + 25*g**2*o**2 + 4*g*o + 3*o**2 wrt o.\nAnswer: 3768*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 10*u**2 + 24*u + 1. Let b be s(12). Suppose -2*x = -5*l - 3, 0 = -2*l - b - 1. Let g = -15 + 10. What is the closest to x in -3, g, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(17)*2)**2*-1.\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 1929*s + 1729. What is the units digit of u(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/171872 and 131\/88560.\nAnswer: 23202720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/3)*a**(-2\/5)*a)\/(a**(-7)\/(a*a**(-2\/5)*a*a))*((a**5)**(-19\/4))**30 assuming a is positive.\nAnswer: a**(-21079\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*x**4 - 5111411*x**3 - 14731656*x**2.\nAnswer: -48*x - 30668466","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 3196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-2)*9 + -2. Let j = b + -9. What is the units digit of (-3)\/(7\/j - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -1 - -10 - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*d - 454164 = -452729 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*a**2 - 3*a + 5*a - 3*a + 63*a**2 as v*a**2 + q*a + d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22566370.1 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 5*b**2 - b - 11. Let n be v(6). Suppose 0 = -n*f + 13*f + 306. Let k = -48 + f. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 108 = 4*c, -c - q - 27 = 4*q. What is the common denominator of c and -59\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-7 - 2) + 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*g**6 + 7*g**2 + 3*g**2 + 13*g**2 - 10*g**6 wrt g?\nAnswer: 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*z - 5 = 0, -2*p = -3*z - 3 - 3. Let x = 21\/130 + 1\/26. Which is the closest to 2\/9?  (a) p  (b) -0.2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -615 - -1479. Suppose -w - k = -4*w. Suppose 7*j - 4*j - w = 0. Calculate the greatest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1189601 rounded to the nearest 10000?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xxppppapppaappp.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 64.4546022 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*-1*sqrt(605)*3)**2 - (5 + (4*(1 + sqrt(45)))**2*-6).\nAnswer: 576*sqrt(5) + 53416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 3*m**2 - 6*m - 3. Let g be f(-4). Let l(q) = q**3 + 7*q**2 + 1. Let k be l(-7). Let r = g - k. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 726\/18 + -1*(-3)\/(-9). Suppose 3*q - 8 = b. Suppose -8 = -2*u - q. Which is smaller: -16\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 250 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5812*-25.\nAnswer: -14.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/8  (b) 303  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 105 = 287. Calculate the highest common factor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tfdfftffd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 32473338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.035*-3.87.\nAnswer: 0.13545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 6:48 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h**2 + 16180*h = 0 for h.\nAnswer: 0, 3236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001011100 (base 2) to base 15.\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24 + -5 + (-83 - -82) + 20\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 19*y**3 + 6*y**2 + 5*y - 1. Let f(m) = -19*m**3 - 7*m**2 - 6*m + 1. Let x(z) = 5*f(z) + 6*k(z). Is x(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9*-0.285.\nAnswer: -0.2565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.36 - -138.36. Let h = u - 138.0057. What is h rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -164 - -153. Which is the second biggest value?  (a) i  (b) 2\/11  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41277, -41055, -40847, -40659, -40497, -40367, -40275?\nAnswer: -40227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1285603548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 285*i**2*m - i**2 - 559*i - 3*m wrt i?\nAnswer: 570*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92037 = -11*i - 12*i + 91485 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*q*s**2*v**4 + q*s**2*v + 2*s**2*v + 4*s*v**5 - 32*v wrt v?\nAnswer: 228*q*s**2*v**2 + 80*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -35 or -0.021664?\nAnswer: -0.021664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9252, -18502, -27752?\n\"Answer: -9250*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 16*t**2 - 90*t + 90*t. Let f(c) = 6*c. Calculate m(f(a)).\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 8 = -4*v, 5*a + 0*a + 3*v = 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 11. Suppose -x*z + z + 1560 = 0. Is 39 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51383 or 51388?\nAnswer: 51383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 800275765 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -732 = -141*c + 80*c. What is the highest common divisor of 852 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 + 134. What is the greatest common divisor of u and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**5 - 406*i**3 + i**2 - 177446*i wrt i.\nAnswer: 20*i**3 - 2436*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*r - 17, -y - 4*r = 3*y - 32. Suppose v - 10*v = -18. Suppose -3*d - 17 = -z, 3*d = -z - y + v. Calculate the greatest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 2 - 0) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -3*q**2 + 198*q - 3267 = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*l + 2155 = -2*b, 2159 = 3*l - b. Suppose 4*u - 1030 = 3*y, 5*u = 3*y + 568 + l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p**2 - 109*p - 330. What is u(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to -25\/1804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 + (1 - 3) + 3. What is the units digit of y + 1 + 44 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 4*l - 7. Let f(y) = y - 13. Let o be f(8). List the prime factors of b(o).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5*l + 13 - 16, 2 = -2*l. Let r be 0 - 2\/v - 3050\/(-40). What is the highest common divisor of 114 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6338649 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 - 149*r**4 - 2*r - 9 + 704*r**4 + 60 wrt r.\nAnswer: 6660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -181833 + 582?\nAnswer: -181251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lnln when four letters picked without replacement from dlnlnldddl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from xowuxwooywxuwwwwwww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -282, 14, 0.2, -3, -0.03, -1?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -42*x**2 - 16*x**2 + 10*x**2 - 169*x**2 + 0*x**2 + 0*x**2 - x**2 - x + 2*x**2 + x + (4 - 4 - 2*x)*(0 - x + 0).\nAnswer: -214*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2205 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 26, 5, 0.74?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4827095611.\nAnswer: 13, 2741, 135467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2832)\/649*(-1)\/(-6).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18.3*0.068.\nAnswer: -1.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-8)*-1*50*(-1)\/(-725)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156034109 divided by -17.\nAnswer: -9178477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 15*h + 8*h**2 - 22*h + 613 - 2*h**3 + h**3 - 608. Determine x(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 904312152?\nAnswer: 2, 3, 12559891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2331 + -1015. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 29*s + 1. Let m be h(-1). Find the common denominator of 141\/m + 8\/28 and 81\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 3 + 3 - 2. Let n(i) = 19*i - 2 + 5*i**2 - i**2 - i**q + 0*i**3 - 21*i. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3211 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0)**11\/(b\/(b*b**(-2))*b)**(-34) assuming b is positive.\nAnswer: b**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**8))\/(((d\/(d*d**(-1\/2)))\/d)\/d))**(3\/17)\/((d*d\/((d\/(d**2*d))\/d)*d)**(-3\/2))**26 assuming d is positive.\nAnswer: d**(7917\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1664 + -271. List the prime factors of f.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8.2 + 8. Let v = 0.03 + -0.63. Let g = v - y. Which is the second smallest value?  (a) 0.5  (b) g  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15b + 262?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 - 23*c + 62. Let w be z(20). Suppose 3*f = -b + 14, 5*f - w*b - 3 = 2. Solve 3*a - 2*a + 15 = 4*x, f*x - 5*a - 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, b: 5, x: 1, u: 5}. What is prob of sequence bpu?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 16*l - 5. Suppose 36*w - 275 - 193 = 0. Determine y(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of k**5\/12 - 11*k**4\/24 - 40*k**2 + 4*k. Let r(s) = s. Give r(a(y)).\nAnswer: 5*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/442 and 5\/1989.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14)*1*4)\/(sqrt(63) + sqrt(126)\/sqrt(2)))**2 - ((sqrt(64)\/sqrt(4))\/sqrt(8) + -3*(sqrt(2) - sqrt(14)\/sqrt(7)) + sqrt(2)).\nAnswer: -2*sqrt(2) + 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.1 + 8.3. What is the closest to a in -2, 4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -402025 - -0.09.\nAnswer: -402024.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*w + 0*w = -96, -4*o + 128 = 2*w. Let n = 169 - o. What is the remainder when n is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50*b + 1 - 104*b - 7 + 52*b to the form r + a*b and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 88 - (-7 - (-40 - 12))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) 3  (c) -34  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15952 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0128216561 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8809994 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**8\/8400 - s**7\/1400 - s**6\/900 - 11*s**3\/3 + 18*s. Let n(d) be the second derivative of t(d). Factor n(h).\nAnswer: -h**2*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 74, 67, 14, -103, -302, -601?\n\"Answer: -3*y**3 - 5*y**2 + 29*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -395, 3, -4\/3 in ascending order.\nAnswer: -395, -4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50 - -83. Is y bigger than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16988947?\nAnswer: 16988947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11554, 11557, 11564, 11575, 11590?\n\"Answer: 2*s**2 - 3*s + 11555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4*k**3 + 2)*(-3*k + 1 - 1).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -9*p**2 + 3*p + 3. Let v(z) = -z - 8. Let u be v(-18). Let y(q) = 17*q**2 - 5*q - 5. Give u*l(n) + 6*y(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -37, -45, -45, -37?\n\"Answer: 4*w**2 - 20*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d - 3. Let o be g(4). Suppose 11*l = 21*l - 550. Suppose -l = -5*b - 5*z, b + 3*b = -o*z + 44. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s. Let x(z) = -3*z**2 - 19*z**2 - 7*z + 7*z. Determine p(x(h)).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3021*t**2*w**3 + 8*t**2*w - t*w**3 - t - 15*w**2 - w wrt w.\nAnswer: -18126*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 6, -2, 0.13 in descending order.\nAnswer: 6, 0.13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -304 by -13.\nAnswer: 304\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4956237*z**3 + 64*z**2 + 32*z + 44?\nAnswer: -29737422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - b**2 - 4)*(-9188 - 10*b + 3*b**3 + 9188).\nAnswer: -3*b**5 + 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 8*d - 5. Let p be w(7). What is the third derivative of 67*a**3 - p*a**2 - 67*a**3 + 4*a**6 - 5*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/8)*l**(-2\/45))**(1\/14) assuming l is positive.\nAnswer: l**(17\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 0.309, -4, -2\/15, 0 in descending order.\nAnswer: 0.309, 0, -2\/15, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 - 85. Find the second derivative of 5*n + x*n - 25*n**2 - 4*n - 4*n wrt n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1738703 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.092*2\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 256105, 512181, 768257, 1024333, 1280409, 1536485?\n\"Answer: 256076*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18031639 - -1305\nAnswer: -18030334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.209 + -0.509. Let v = 25 - 24.97. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 - -42. Suppose -i + 16 = y. Let h = y + 4. Solve -2 = 4*b + 2*c, h*b - 4*c = c + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -55*b**3*m**2*w + 2*b**3*m**2 - 28*b**3*w**3 + 4*b**2*m**2*w**3 - b**2 + b*w**2 wrt w.\nAnswer: -168*b**3 + 24*b**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2 - 6) + 6)*(-2 - -3). Suppose -54 = k*q + 10. What is the remainder when (-1)\/4 + (-3272)\/q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**3 + 27*i**4 + 5*i**2 + i**2 - 65 - 8*i**2 wrt i?\nAnswer: 648*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 75252359 and 29249.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -236604600 rounded to the nearest 1000000?\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g - 14 + 20 + 6*g)*(-g + 4*g - 2*g).\nAnswer: 12*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -w + z, 3*z = z + 10. Suppose w*a - 7*a = -9*a. Determine b, given that 2\/11*b + a + 2\/11*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3 - 7*c**3 + 4*c + 5 + 3*c**2 + 10*c**3. Let h be y(8). Let q = -1222 + h. What is q rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.882568 micrometers in kilometers?\nAnswer: 0.000000004882568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -46, -42?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**2 - 32*t + 28.\nAnswer: 4*(t - 7)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 5*m + 64 = 97, -18 = 2*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(3\/29))\/(m**(-1\/3)*m) assuming m is positive.\nAnswer: m**(38\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 86.16764 centuries?\nAnswer: 103401.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.014 and -6?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25138820?\nAnswer: 2, 5, 7, 179563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/(a**2\/a))))\/((a\/(a**(-3)*a))\/a)*(a*a\/(a*a**(-1\/4)*a))\/a**3*(a**6*a**0)\/(a**(-3\/2)*a*a\/(a*((a\/(a\/a**5))\/a)\/a)) assuming a is positive.\nAnswer: a**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.21762528 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 12 = -0*a. Find the common denominator of 242*a\/216 - -4 and -2*(-11)\/(-32) + -2.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 26*a - 2. Calculate d(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45819 is divided by 1383?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8467015, -8467016, -8467017, -8467018, -8467019?\nAnswer: -8467020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f\/f**(1\/5)))\/(((((f*f\/(f**9\/f))\/f)\/f)\/f)\/f*f))\/(f\/(f\/f**(-2\/25))*f)**(-3\/4) assuming f is positive.\nAnswer: f**(1089\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2372 and 47227706?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -21 - 3. Solve -2*y - 16 = -m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2 - 8*b + 1. Let u(f) = -f**2 - 4*f + 1. Let t(g) = 13*u(g) - 6*x(g). Let y(k) be the first derivative of t(k). Calculate y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/10)\/(((-44)\/20)\/(-11)). Put 4, d, 2 in increasing order.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 1:13 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of 11*q**7\/42 - 7*q**4\/12 - 15*q. What is the third derivative of n(z) wrt z?\nAnswer: 660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -z + m, -4*z = -2*z - m - 11. Let d(p) = -z*p + 3*p + 8*p. Let g(u) be the third derivative of u**5\/60 - 2976*u**2. Determine g(d(x)).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 14*b - 648 = 0. Let k = 172 - b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 457801416*n**2 + 87671668 wrt n.\nAnswer: 915602832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i - 2*i + 4*i**3 - 6*i**3 + i**2 - 2*i**3 - i**2 + (i + 2*i - 4*i)*(-2*i + 2*i - i**2) - 4*i**3 + 2*i**3 + 0*i**3.\nAnswer: -5*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 298432 = 298262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1. Let c = -80 + 290. Let s = -204 + c. Solve 5*i - u = -s*u, l = -3*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1171353 + 55.1170753. Let t = -55 + f. Round t to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2\/9  (b) -0.17  (c) 2\/7  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*f - 5*f**3 - 2*f**2 + 4*f**3 + 10*f to the form x + n*f + c*f**3 + b*f**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/2 + 241*d\/2 - 243.\nAnswer: (d - 2)*(d + 243)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r**2. Let n(m) = -52*m + 28*m + 21*m. Calculate n(y(t)).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/2)\/(1560\/(-1430)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Suppose 0*h - z - 7 = -5*h, w*z = -3*h + 12. Solve 0 = -h*p + 5*n, 3 = -p + n + 3*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3102)\/(-15) - -4 - 0. Let u = 214 - k. Let -u*w**2 + 6\/5*w**3 - 4\/5 + 14\/5*w = 0. Calculate w.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1172, -2341, -3502, -4649, -5776, -6877, -7946, -8977?\nAnswer: -9964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*o = -3, 0*o = 3*q - 2*o + 2. Let s(t) = q + 0 + 2*t**2. Let m(d) = 11*d**2 - 13*d**2 + 0*d**2 - 13*d**2. Determine m(s(c)).\nAnswer: -60*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21646663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -62 - (-5 + ((3 - 8) + -4 - 3))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*n + 10, -30 = -n + 5*o - o. Suppose n*a + 4*u = 5*a + 153, 39 = a + 5*u. Calculate the remainder when a is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -147 + 147.209. What is d rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -d + 3, -4*d = d - 2*o + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n - 101 = -2*h - 19*n, 5*n - 25 = 0. Suppose 7*i - 5*i = 240. Calculate the highest common divisor of i and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 - -1 - -2) + (-10)\/(-2). Let l(z) = 14*z**2 - 2*z + 2*z - 13*z**u. Let y(t) = -5*t**2. Calculate l(y(c)).\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -659 - -1228. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 16*y - 18. Let f be s(14). Suppose -104 = -2*t + f*t. Let p = 41 - t. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47\/42 - 9\/7. Suppose -2*y + r + 5 = 0, -5 = y - 2*y + r. Suppose 4*q + y*q + 16 = 0. Which is the second smallest value?  (a) 2  (b) i  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10674*i**2 - 10661*i**2 + 21375*i**2.\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -20*x + 40*x - 22*x. Suppose 4*f - 23 = -5*m, 3*m + 2*m = -5*f + 25. Let b(t) = 4*t**2 - 4*t**2 + 2*t**f. Determine b(n(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of x**3\/3 + 83*x**2\/2 + 82*x - 8. Factor r(j).\nAnswer: (j + 1)*(j + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -82c5?\nAnswer: -82c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10 + 2392?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 5*v**2 + v + 1. Let r(t) = -22*t**3 - 32*t**2 - 4*t - 9. Determine -6*g(l) - r(l).\nAnswer: 28*l**3 + 2*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d + 6. Let n be j(-3). Let r(s) = -n*s**2 - 3*s**2 + 3*s**2 + 4*s**2 + 13 + 10*s. Let m be r(-9). Solve 2*p - 23 = -5*f + 2*f, -3*p = -m*f + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -188.34 - -187. Let s = b + 1.24. What is the second biggest value in 1\/2, 0.01, s?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*31\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) 1  (b) 2\/865  (c) 1\/3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**6*y**2 - l**5*y**3 + 89*l**2 - 6*y**3 wrt l?\nAnswer: -120*l**3*y**2 - 60*l**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2109 divided by 703?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**2 + 242*t - 684. Give u(118).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {b: 4, z: 4, p: 1, i: 1, e: 3, c: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 5*w - 93 = 0, -9*w = 11526*a - 11523*a + 165 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 85428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1030921 to the power of 1\/2, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b + 1 - 1 + (3 - 2 - 8)*(6*b + 5*b - 7*b))*(-10 + 10 - 15) as q + o*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = 4*v - 32, v = -w - 2*w + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 828*f*p*y**3 + 2*f*p + 6859*f*y**2 - 3*f*y + 517*p*y**3 + 10*p*y**2 wrt y.\nAnswer: 4968*f*p + 3102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 0*m = 10. Let g(f) = f**3 - 4*f**2 - 6*f - 1. Let x be g(m). Is x greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11.1 - 10. Let g = 0.1 - o. Let p = 40.2 + -40. Which is the second smallest value?  (a) p  (b) 3\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 74*j**2 + 532*j + 12. Calculate q(9).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6*f**3 - 6*f**2 - 6*f. Let q(r) = -11*r**3 + 13*r**2 + 13*r. Suppose -3*l + 20 = -5*l + 2*y, l + 19 = -2*y. What is l*z(o) - 6*q(o)?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*l + 16. Suppose 0 = 2*d - l - 3, 4*d - 8 = s. Solve t + 19 = -5*k, s*k - 5*t = -k + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 4*i. Let r be p(-5). Let h = 9 + r. Let z = -20 + 23. Solve -3*x + h*n - 9 = -8*x, x + 2*n - z = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.009*-0.02\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -63309, -63307, -63305, -63303?\n\"Answer: 2*g - 63311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 106\/9 + (-6)\/27*-1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 3)*(5*w - 15*w**3 - 5*w)*(-4*w + 4*w - 2*w).\nAnswer: -90*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 + -9. Suppose -2*x + u = -4*u - 34, -4*u + f = 4*x. What is the least common multiple of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - f - 27, -5*i + 64 = f + 11. Let x be (-1)\/2 - (-5)\/i. Is 0 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 0 - 1\/60*d**5 + 0*d**4 + 0*d + 0*d**3 + 2*d**2. Let f(j) be the third derivative of -j**5\/20 + j**2. Determine f(r(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 29947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.1 - -3.9. Let q(p) = 3*p + 13. Let z be q(-6). Put z, 0.2, i in decreasing order.\nAnswer: i, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111101 (base 2) to base 16.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of -1466*m**6\/15 + 2855*m**2 + 20*m + 129. Find the first derivative of l(t) wrt t.\nAnswer: -11728*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22212102220 (base 3) to base 16.\nAnswer: 2a9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 5628474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 51663516907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -9*o + 4. Let r be q(1). Sort 1, r, -14, 0 in ascending order.\nAnswer: -14, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*u - 1008 = -236*u + 187 + 265 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence an when two letters picked without replacement from {n: 3, i: 2, a: 2, u: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 1:31 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 13*i**2 + 20*i + 142. Calculate n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*a**4 + 5*a**4 + 2*a - 35*a**4 + 0*a + 2*a**2 in the form d*a**2 + c*a**4 + g*a + l*a**3 + f and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 10:31 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 106 = 2*j, 3*j + 116 = 5*p - 0. Suppose 6*t + p = 5*m + t, -t - 3 = 0. Solve m*z = z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.958 - 0.042. Let u = -95.19 - -97.19. Which is the fourth biggest value?  (a) -0.1  (b) 18  (c) g  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b + 35*b - 2*b to the form p + l*b and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5*m + 10 = -21, -4*y = 5*m - 107. Let i = y + -3. What is the remainder when 59 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 544 - 562. Let y be (-129)\/(-15) - (-8)\/20. Suppose -7*k = -4*k + y, 5*h + 4*k = x. Solve -5*n - h + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-130)\/(-10) - 9))\/(1\/(-108)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30645807.\nAnswer: 3, 10215269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 6:51 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38\/5 + -109\/15. Which is the third smallest value?  (a) k  (b) 0.3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 71, 65, 47, 11, -49, -139, -265, -433?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7614 and 5?\nAnswer: -3.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 26*a = 24*a + 2, -a - 5 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3265.4754 rounded to the nearest 10?\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24429 is divided by 149?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -2 - (-581 - -591 - (7 - (-2 - -2)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)\/(sqrt(24)\/sqrt(2)) - 6*sqrt(11)*1)*-4 + (-1*-1*sqrt(275) - (sqrt(275)*-1 + -3)))**2.\nAnswer: 180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 2864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*x + 3*x + 3*x)*(-3 + 3 + x) + x + 2*x**2 - x + 3*x**2 - 4*x**2 + 3*x**2)*(-3 - 12627*x**2 - 6284*x**2 + 3 + 3063*x**2).\nAnswer: -95088*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 4*m + 4*m)*(8 + 5 + 1).\nAnswer: 126*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eiy when three letters picked without replacement from zizeiiizziiiizzzyzi.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -8*c + 5*c. Let o be 19\/c + -4 - (-493)\/4. Let y = -98 + o. 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 third biggest value in 0.1, 3\/2, 9, -1, -24, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-26)\/(-39) + (1 - (-266)\/6). Let z = l - 54. Let g be z\/(-6)*6\/16. Which is the nearest to -0.1?  (a) g  (b) -0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 10:40 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2086 is divided by 686?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48922 is divided by 439.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 2260.53.\nAnswer: 11302.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (329\/35 + (-45)\/9)\/(8\/(-240)*1)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 15) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 8*v + 215. Let c = 155 + v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10\/(-5))\/114)\/((-4)\/(-24))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5041 = -7*m + 42120. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191556299.\nAnswer: 11, 197, 88397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1722 divided by -63605?\nAnswer: 1722\/63605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 213*x**3 - 81.\nAnswer: 639*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2)*(-8)\/(-744)*63*(-88)\/(-13860)\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77339654 = -12*v - 273060346. What is v rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2688\/70*(-15)\/6. Which is bigger: o or -133?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 967 a factor of 77491512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24380 = -822*t + 4952 - 7698 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1186 + 0.03?\nAnswer: -1185.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (44\/6)\/((-12)\/(-54)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -y + 2*y. Solve 5 = -4*g + b - 6*b, -8 = y*g + 4*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*g**2 + 6*g**2 + g**2 - 3*g - g**2 to i*g + v*g**2 + j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 88 + -120. List the prime factors of ((-1256)\/n + -8)\/((-1)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 8 = -4. Let s be 4\/6*f + 84. Calculate the highest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a*a*((a*a*(a*a\/a**(-2)*a)\/a*a)\/a)\/a*a)*a*a)**(-44))**(-11\/6)*(((a*a**(-1\/6))\/a)**(-4))**(1\/29) assuming a is positive.\nAnswer: a**(-28070\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 8*q**5\/5 - 46*q**4 + 1286*q**3\/5 - 2192*q**2\/5 + 776*q\/5 + 352\/5 = 0.\nAnswer: -1\/4, 1, 2, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2\/3 - 222488*y\/3 - 222500.\nAnswer: 4*(y - 55625)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 3877*x + 4322*x - 659*x as n*x + a and give n.\nAnswer: 7540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 184*t**3 - t**2 + 19053*t - 19053*t + 8 to the form n + f*t**2 + s*t**3 + o*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2204 divided by -76.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.02 + 6.02. Let b = m + -9. Let x = 2 + -2. What is the closest to x in b, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-14)*3*28\/36*(-240)\/128?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - q - 2. Let n be d(-2). Let k be -2*1*(3 - (n + 0)). Suppose 5*l = k*l. Put 3, 5, l, -5 in ascending order.\nAnswer: -5, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-312)\/63)\/((-432)\/168) - (14 + -12).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 1571 = 5*q + 1415, 7*q - f - 234 = 0 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1941187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 3*z + 1. Let s be x(-3). Let r(t) = -2*t + 0*t + t. List the prime factors of r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1874772 to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*h - 2 = 0, 4*i + 3*h - 8 = -0. Let g = 165.9 - 178. Let t = g + 12. What is the nearest to t in i, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2989879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2051 (base 6) in base 16?\nAnswer: -1cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4 = 3*q. Suppose 2*v + 25 = 33. What is the nearest to q in 5, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 1 = -17. Find the third derivative of 5*b**4 - 5*b**4 + 5*b**6 - u*b**2 + 25*b**2 wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 36d - 3?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2)*3\/6. Suppose 0*d + 42 = -3*d. Let l = -15 - d. Is l not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5 - -0.1. Suppose 39 = -24*m + 25*m. Let z be -3 + m\/15 + 2\/10. Is j at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -0.275\nAnswer: -1.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2002 = 2*o, 77 = -o + 2*k - 927. What is o rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 i, and 1 r when four letters picked without replacement from drddriddrrr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 512\/(-768)*(-3)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 7*x**2 - 1. Let n(q) = -8*q**2 - 4*q - 3. Let z be n(0). What is t(z)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*r + 71*r**3 - 24*r - 70*r**3 in the form z + v*r + l*r**2 + h*r**3 and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-5)\/10)\/((-2)\/(-24)). Let i be (t\/4)\/(1\/2). Let b(z) be the third derivative of z**4\/12 - z**3\/6 + 23869*z**2. Determine b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1711199*m**3*n**3 + 4*m**3*n**2 - 386459*m**3*n wrt n.\nAnswer: -10267194*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/20, -4, 38?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -121*m**5\/5 + 87*m**2\/2 + 142. What is the second derivative of c(f) wrt f?\nAnswer: -1452*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.023 + -0.177. Which is the nearest to j?  (a) -11  (b) 1\/6  (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6600 at most as big as 6599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 10*s - 25. Let v be d(-7). Let i = v - -95. Suppose 16 = 4*z - 0*z. Solve p + p + z = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12403.5 plus 5?\nAnswer: -12398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1963304 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c - 13. Calculate z(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-32)\/(-6) - (-8)\/12) + -3. Solve 0*a = -3*a + n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 11:01 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -6957 and -6957 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 6*j + 1. Let p(u) = u - 1. Suppose 0*v + 1 = -v. Let y(r) = -r**3 - 5*r**2 + 301*r + 919. Let k be y(-3). Calculate k*p(s) + v*n(s).\nAnswer: -8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - 2*n + 1. Let i be s(3). Suppose 2 = 5*u + 4*m, i*u + 3*m + 1 - 3 = 0. Suppose 7*f = -2*z + u*f + 40, 4 = f. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 21313497 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.51 + 50.51. Sort o, 5, 0.2.\nAnswer: 0.2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -5*a**4\/4 + 15*a**2\/2 + 10*a + 7. Factor d(r).\nAnswer: -5*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 175 - 144. Let a(p) = -p**3 - 6*p**2 + 4*p - 6. Let v be a(-6). Let l = v + d. Solve k + 2 + l = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 51790 and 121140.\nAnswer: 627384060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + s. Let b(x) = 6*x**2 + 11*x - 148. Let y(d) = -b(d) + 2*p(d). Differentiate y(w) with respect to w.\nAnswer: -8*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/4*5\/(-25)*-10. Suppose -33 = 2*m + m + 4*u, 4*m + 44 = 5*u. Put m, 0, r in increasing order.\nAnswer: m, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w. Let f(j) be the third derivative of 0*j - 16*j**2 + 1 + 0*j**3 - 5\/3*j**4. Give v(f(l)).\nAnswer: 80*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence djjw when four letters picked without replacement from {n: 4, w: 2, e: 1, j: 3, d: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 640 = -2*y, -1312 = -4*y + 2*c - 0*c. Let n be y\/36 + 1\/(-6). Solve 0 = -3*o - 4*v - 27, -2*v = -0*o - 3*o - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 332 - 63 = -4*o, 3*o + 5*d = 279. What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71602362 is divided by 1073.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2655824 less than 0.05?\nAnswer: -0.2155824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 7, d: 9}. What is prob of sequence uud?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.02, 1\/328, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3205722469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 12:42 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9560\/72 - 4\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**3 + 380*u - 24*u + 576*u.\nAnswer: u**3 + 932*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0004 - 0.2996. Let n = -81\/16 - -5. Let i = -13\/48 + n. What is the smallest value in j, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 28519, 28526, 28537, 28552, 28571?\n\"Answer: 2*c**2 + c + 28516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -700 - 2?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j - 5. Suppose -x + 37 = 4*t, 3*x = -2*x + 2*t + 75. Let h = x + -20. Determine a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 85 = 5*f, -5*f - 5*l + 2 = -103. Calculate the greatest common divisor of f and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cyydvcyyybyvcycd. What is prob of sequence yd?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 AM and 8:03 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 3:07 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1501 times -41\nAnswer: -61541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12024 - -12013.018. Let d = c - -11. What is d rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*g - i - 31, -5*i = g + 7. Suppose -r + g = -p, 0 = -2*p - r - 5 - 14. Let k(l) = -2*l - 12. Calculate k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007984196 rounded to six decimal places?\nAnswer: -0.000798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 5*a**3 + 4*a - 4. Let i be v(2). Suppose -6 = o - 5*n + 3, 4*n = 4*o - i. Suppose -8*p + 24 = o. Which is bigger: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 25. Let h = 38 + -36. Calculate the greatest common factor of l and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*w**2 + 43*w**3 - 24*w**2 + 15*w**2.\nAnswer: 43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 36231d?\nAnswer: -362320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 471*n**2 - 56*n**4 + 2881*n**2 + 53*n**4 + 262*n**3 wrt n?\nAnswer: -72*n + 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 292367.\nAnswer: 292367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 AM and 2:25 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-5)\/(s*s**(-1)*s)*(s**(2\/11)*s*s)**17)\/((s*s**(-2\/3))**(-4)\/(s\/s**2)**(1\/6)) assuming s is positive.\nAnswer: s**(2129\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -15*j - 277. Let b(t) = -5*t - 95. Calculate 11*b(u) - 4*z(u).\nAnswer: 5*u + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 32\/(-160) - (-4)\/5. Let -1\/5*s**5 - 1\/5*s**2 - 3\/5*s**3 + 0 - w*s**4 + 0*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4727 - -4722. Let r = -3 - -2. Is i less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 63 and -20123.039.\nAnswer: -20060.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l**2 - 2*l + 3. Let u(k) = 4*k**2 + 2*k - 4. Let v(g) = -5*o(g) - 4*u(g). Let z = -2 - -1. What is v(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16651 is divided by 519?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1093 is divided by 812?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1*-2*((8 - 19) + -371) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**3 + 54*m**2 + 96*m = 0. Calculate m.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 12:44 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -6*b**2 - 18*b + 3. Let h be k(-3). Suppose -h*g = -3*z - 33, -3*g - g + 32 = 2*z. What is the third smallest value in -1\/3, g, -5, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 25  (b) -15\/7  (c) 246748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 35*g**3 + g**2 + 8*g - 9. What is the hundreds digit of v(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110101101001001100 (base 2) to base 15.\nAnswer: -ea6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 41 + 8 = -5*n, 0 = n + 1. Let j = -3 - -19. Suppose -j + 0 = -l. Calculate the smallest common multiple of q and l.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 431 + -183. Which is greater: 249 or u?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -599, -1361, -2123?\nAnswer: -2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + c + 190 = 0. Find the common denominator of -4 - (-9)\/(-132)*c and 81\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(152)\/sqrt(8) - -1*(sqrt(19) + -3)) + sqrt(684)*-2 + 4 + ((sqrt(684) + sqrt(684) + -3 + -1 + sqrt(684))**2 - sqrt(684)).\nAnswer: -157*sqrt(19) + 6173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r - 2*r**4 + 2*r**2 + 3*r**2 - 3*r**2 + 9 + 2*r**3 + 2 in the form v*r**3 + l*r + w*r**4 + m + k*r**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.315?\nAnswer: 1.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*d)*((-2 - 3 + 4)*(2 - 4 + 1) - 2 + 4 - 4).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 10:13 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 212792, 212793, 212794?\n\"Answer: p + 212791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 191*b**3 + 150*b**2?\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + sqrt(304) + 2 - ((-4*(-2 + sqrt(475)))**2 + 2).\nAnswer: -7669 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1490 + -1408. What is the remainder when v is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.54 - 4.597. Let f = 209.3 + -215.243. Let w = f + j. Sort -1\/4, w, -1 in decreasing order.\nAnswer: -1\/4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3708 by 927.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13 - 6\/2)\/(-2). Let r = g + -6. Suppose -r*i = -34 - 32. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-90)\/((-2160)\/38))\/((-3)\/36).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100101001 (base 2) in base 14?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*m**3*x - 3956*m**3 + m**2*x + 5*m*x**2 + 22*m*x - m wrt x?\nAnswer: 7*m**3 + m**2 + 10*m*x + 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 - 4*w**2 + 5*w + 2. Let g be f(-10). Let c be g*(84\/(-9) + 1). Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1669529 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - m + 2. Let d be n(0). What is the third derivative of 4357 - 4357 + 37*p**d - 21*p**6 wrt p?\nAnswer: -2520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + -8*1\/(-2). Suppose 5*s - j + 15 = 0, 2*s + 3*j = 5*s - p. Let l(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 3*f + 2. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -64.69274644 to 1 decimal place.\nAnswer: -64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*a**2 - 11*a**2 + 30*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -130033 (base 5) to base 7\nAnswer: -20426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/24 + 3 + -3 and -249*(-3)\/18*-1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 2)*(-3*t + 0*t + 2*t)*(-6 - 65 + 20).\nAnswer: 153*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -20, -55, -92, -131, -172, -215, -260?\n\"Answer: -a**2 - 32*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1539 a factor of 70383087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -39 + -4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2895*m = -2624*m - 10 - 1074 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**4 + 14196*s**3 + 549825*s**2 + 3489612*s - 9292140 = 0.\nAnswer: -4693, -30, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 408 and 33.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - k - 5. Let b(f) = -f**3 + f + 5. Let o be b(0). Put k, o, 3 in ascending order.\nAnswer: k, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 57*t + 33 = 59*t, d - 50 = -5*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 13 times -0.155\nAnswer: -2.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7743*h**2 - 2578*h**2 - 2562*h**2 - 2577*h**2.\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 9.01. Let v = k - -1.41. Let h = v - 0.4. Put 0.4, 1\/2, h in decreasing order.\nAnswer: h, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -77 (base 9) to base 16.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 103 + 2381?\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**1*x*x\/x**(1\/7)*x*x*x**(-6\/5)*x**(-8)*x assuming x is positive.\nAnswer: x**(-117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 9:15 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 33 - 241?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 2*y - 3 + (0*y - y + 3*y)*(6 - 3 - 2) - 117710738 + 117710738 + 15817*y.\nAnswer: 15821*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 606\/(-707) - (-27)\/7. Solve 12 = -u*q + c, -2*c + 4 = -16*q + 14*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.7 times 2?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*l = -37*l - 85. Let a(c) = -c**2 - c + 8*c - l + 9. Calculate a(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/2)\/(f\/f**(-2\/9)))\/(f\/f**(1\/2))**(-9) assuming f is positive.\nAnswer: f**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2 + (-3 - -2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02456 - 0.07544. Which is the nearest to -2?  (a) r  (b) 8  (c) -3\/5  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/2 + o**2.\nAnswer: o**2*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/3, -6, 6\/7, -2\/9, -2\/63, -225?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 2*l - 10 = 0, 168*l + 4 = -2*w + 172*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, 0, 11, 24, 39, 56, 75?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 68, 16, 4 in increasing order.\nAnswer: 4, 16, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8)*(222 + -233).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196469014 to the power of 1\/2, to the nearest integer?\nAnswer: 14017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3\/5 - 9262844*g**2\/5 - 1072504413388*g - 1072502560820.\nAnswer: -4*(g + 1)*(g + 1157855)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 33\/7  (b) 609  (c) 0  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1708\/6 + -1 + 1\/3. Let v be (-6)\/4*-1*f\/(-142). Let k(u) = u**3 + 7*u**2 + 4*u + 1. What is k(v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -5*l**2 - 39*l + 10. Let s be d(-8). Sort 0.43, -5, -2, s in increasing order.\nAnswer: -5, -2, 0.43, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 o when three letters picked without replacement from {x: 3, o: 4, b: 6, e: 1}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 85  (b) 1  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 392490*f**2. Let p(s) = s. What is k(p(m))?\nAnswer: 392490*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -14. Suppose -4 = -2*u + 3*n, -7*n = 5*u - 5*n - p. What is the derivative of 2*c**2 + 2 + 2*c**4 - u*c**2 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-14))\/(2376\/693).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**3 + 399*g**2 - 7593*g + 433. Give v(-217).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*q**3\/3 - 21931*q**2\/3 - 94934*q\/3 - 72944\/3 = 0.\nAnswer: -194\/59, -1, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 46  (b) -1\/4  (c) 0.5  (d) 1\/42  (e) -109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 14*z + 14. What is t(-13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0.2, 1\/2, 8\/39853, -0.2?\nAnswer: 8\/39853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-287)\/(-1558)*((-12)\/(-28) - 1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 27*x - 28. What is t(22)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/95 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 38 = 4*c. Suppose -13 = -5*t - c. Let i(y) = y**3 - y. Let q(f) be the third derivative of f**4\/24 + f**2. What is t*q(v) + i(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44583 by -231.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 PM and 2:47 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 651061886.4 + 0.2.\nAnswer: 651061886.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 14 + 16 + 13*m)*(-10 + 18 - 16) + 5 + 2*m - 5.\nAnswer: -102*m - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + 1042a7?\nAnswer: 1042a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c3b2 (base 15) to base 11.\nAnswer: -29074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/36*-37 + (-75)\/(-36) + -2. Put -2, m, -9 in decreasing order.\nAnswer: -2, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -33, -92\/3, -2 in ascending order.\nAnswer: -33, -92\/3, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -15549, -124443, -420025, -995643, -1944645, -3360379?\n\"Answer: -15558*j**3 + 4*j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15, -19, -41, -93, -187?\n\"Answer: -2*s**3 + 3*s**2 + s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37.924 + -0.076. Let s = o + 38. Which is the second biggest value?  (a) 2\/3  (b) 11  (c) s  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3348053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of 1\/3*s**3 + 3*s**2 + 1\/24*s**4 + 0 + 0*s. Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57153 = -16*r - 26621 + 72076. List the prime factors of r.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 - 1201002020?\nAnswer: -1201001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4 = 4*d, 4*d + 1 = -0*v + 5*v. Let s be 5*d\/(-8)*-2. Let y be (-6)\/(-10) + 6\/15. Sort s, y, 0 in decreasing order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(-13\/2)*h*h\/(h\/h**(8\/5)))**(-32) assuming h is positive.\nAnswer: h**(-1776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71\/6 - 3\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -14*c - 488. Calculate d(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 338984 by 1.\nAnswer: 338984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2507 + -2515. Let d(w) = -w**3 + 5*w**2 + 6*w + 3. Let v be d(6). Let y(q) = -13*q**2 + 8*q + 8. Let s(g) = -4*g**2 + 3*g + 3. Give a*s(m) + v*y(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5546, 21986, 49390, 87758?\nAnswer: 137090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i + 0*i - 2*i**2 + (2*i + 0*i - 3*i)*(-i + 3 - 3) + 2*i**2 - 8*i**2 - 22*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(98))*4 - (sqrt(98) - 2*sqrt(98))*-3 - (5*((sqrt(98) - (sqrt(98) + sqrt(98) + sqrt(98) + 1 + sqrt(98)))*-1 - (-2 + 1*sqrt(98))))**2.\nAnswer: -10025 - 2093*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-11 + -9 + 23) - (5 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1083 - 3*p**3 + 1071 + 1070 - 3224.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2581 and 2206577.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wqfqwqww. What is prob of sequence wf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 105\/2 - 52. Factor -1\/4 + 0*t**3 + h*t**2 + 0*t - 1\/4*t**4.\nAnswer: -(t - 1)**2*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a**5\/3 + 5957*a**4\/9 - 245708*a**3\/9 - 378412*a**2\/3 + 6842240*a\/9 + 4992064\/9 = 0. Calculate a.\nAnswer: -2026, -7, -2\/3, 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {u: 2, z: 3, r: 3, v: 7}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (((-30108)\/16)\/((-9)\/16))\/((-3)\/(-63)). Calculate the highest common divisor of h and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1352, 4, 0, 1, 6 in decreasing order.\nAnswer: 6, 4, 1, 0, -1352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000007159 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 17 + 7 = 0. Calculate the greatest common divisor of 16 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -229*w**3\/3 - 2108. Let u(c) = -2*c**2 + 5 - 5. Calculate q(u(d)).\nAnswer: -916*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 6*k + 29. Let w be n(3). Differentiate -13 + 73 - 20*g**2 + 23*g**w + 95 + 29*g**2 wrt g.\nAnswer: 64*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 413\/10 + -892\/15. Suppose -5*z - 3*x + 144 + 35 = 0, 2*x + 78 = 2*z. Find the common denominator of z\/12 - (-2)\/8 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29197*o**2 + 0*o - 18856*o**2 - o + o.\nAnswer: -48053*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 41402.02kg?\nAnswer: 41402020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 3, 4, -46\/71, 1.1.\nAnswer: -46\/71, -1\/3, 1.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/(-76)*10*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + -4. Let q = t - -19. Which is the closest to 2\/5?  (a) 0.2  (b) q  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40692 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 14*u**2 + 2. Let q be d(14). Let r(g) = 5*g**3 + 2*g**2 + 3*g - 3. Is r(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*w**6 - w**5 + 402*w**4 - 6*w**2 + 3*w - 6.\nAnswer: -600*w**3 - 60*w**2 + 9648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1*(sqrt(1900) + 2) - sqrt(1900)))**2 - ((sqrt(1216)*1)**2 + (-2*sqrt(2736))**2).\nAnswer: -4551 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 683819.3 micrograms?\nAnswer: 683819300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**2 - k + 11. Let o(p) = 3*p**2 - 2*p + 20. Calculate -4*o(u) + 7*y(u).\nAnswer: 2*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, d: 2, i: 7, c: 5, r: 1}. What is prob of picking 1 d, 1 c, and 1 i?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llkuolkkkklouklluu. What is prob of picking 2 k?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1647 + -1697. Suppose -122 = -o - 47. Let k = j + o. What is the remainder when 74 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (392\/(-10))\/((-16)\/80). Calculate the greatest common divisor of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 35, -8, -3, 1 in increasing order.\nAnswer: -8, -3, 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of 72*t**3 + 78. Let a(p) = -29*p**2 + 4*p. Let d(c) = 79*c**2 - 11*c. Let l(i) = -11*a(i) - 4*d(i). Calculate l(z(y)).\nAnswer: 139968*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/26 - 636\/(-6890). What is the nearest to 0.1 in -3, w, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51 and 1632.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**2\/7 - 4072*f\/7 + 1036324\/7 = 0. Calculate f.\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of d**3\/3 + 3*d**2 - 2*d. Let k be z(-2). What is the third derivative of -4*b**2 + 4*b**4 - 9*b**2 - k*b**4 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*(((c**(-1)\/c)\/c)\/c)\/c)\/((c*c**(-17)*c)\/c))\/((c\/(c*c*c*c*(c*(c*c**(28\/3))\/c)\/c)*c)\/c*c**23\/c))**(2\/17) assuming c is positive.\nAnswer: c**(20\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 8*k**2 + 2*k. Does 5 divide y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5251 - df5?\nAnswer: -6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14404 - 14404. Which is smaller: 6\/8141 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*f - 6*f - 1989 = 0. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, z: 2}. What is prob of sequence uzuu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l**2 + 1. Let s be t(1). Let b = s + -6. Suppose -2*z - b*z + 20 = 0. Solve 2*y - y = z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*b - 202*b - 6396 = -5*b + 324 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 n, and 1 d when four letters picked without replacement from {d: 1, u: 1, x: 2, n: 11}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 + 1 - 3) + 5. Solve t = 4*d - 17, 3*d - y = -t - 3*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-11 - -4*2330\/760)\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 142634, -37 in decreasing order.\nAnswer: 142634, 13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand p + 21*p**2 - 2*p**2 + 0*p**2 + 8 + (p + 2*p - 2*p)*(-2*p + 2*p + 6*p).\nAnswer: 25*p**2 + p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/28 or -4\/565?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -4. Let n(w) = -w**3 - 3*w**2 + 7*w + 13. Let x be n(f). What is the units digit of 26\/(-22) + x + 32704\/308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 5*q**4 - 11*q**3 + q**2 + 7*q - 4. Let h(a) = 6*a**4 - 12*a**3 + 6*a - 3. Let u = -9 + 12. Let r(x) = u*s(x) - 2*h(x). Suppose r(y) = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.24168 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-28))\/((-27)\/162*1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21540.\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 857122269 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47307771 - 2035.\nAnswer: -47309806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3*w - 3. Let s(r) = 2 + 13*r - 15*r - 1 + 1. Suppose 29 - 9 = 4*l. Let x(c) = l*s(c) + 3*m(c). Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -5*u + 9. Is 13 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1723614577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 9900*v - 19757*v + 9908*v + 3 in the form w + g*v and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.51 times 2\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**2 - 19*r - 9. Let q = 46 + -31. What is the units digit of j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15.187 - -0.087. Let o = m - -10.1. Let r = 2419\/20 - 121. Which is the biggest value?  (a) r  (b) o  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of u**4\/12 + u**2\/2 - 3*u. Let g(p) = -6*p**2 + 8*p - 12. Let l(m) = -g(m) - 4*q(m). Factor l(s).\nAnswer: 2*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/18 and -107\/249291216?\nAnswer: 249291216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-128)\/(-66))\/(5\/(-15)) - 29970\/(-4995). Factor 0*q**2 + 0*q**4 + y*q**5 - 4\/11*q**3 + 0 + 2\/11*q.\nAnswer: 2*q*(q - 1)**2*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -17a?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j**3 + 2*j**2 + 2. Let x(a) = 7*a**2 - 2*a**3 - 2*a**2 - 2*a**2 + 3. Suppose -168*o = -163*o - 15. Determine o*c(l) - 2*x(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 18641 (base 12) in base 14?\nAnswer: ccdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 200303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*j**3 - 43*j**3 + 21*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 105\/662762 and -83\/131240.\nAnswer: 13255240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -184548 divided by -14?\nAnswer: 13182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -31, -99, -213, -373, -579, -831?\n\"Answer: -23*p**2 + p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 3*y = 1157, 2*l - 5*l - 667 = -5*y. Let t = 1016 + l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 15 = 5*u, -2*y + 12 = 2*u + 3*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 356 = -3*m. Let i = m + -379\/2. Calculate the common denominator of 2\/(-8)*-54 + -1 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 91 = 2*b, 3*b - 5*h = -h + 119. Let y = 3 - -1. Let t(j) = 3*j**3 - 8*j**2 - 9*j - 1. What is the least common multiple of t(y) and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of -n**7\/2520 - n**4\/6 + 6*n**2. Let x(k) be the second derivative of b(k). Let i(t) = 5*t**2. Give i(x(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -22 divided by 433314\nAnswer: -11\/216657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 293714263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 18 = 71*w - 67*w, 4*w + 14 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 7*f**2 - 21*f - 53. Let r be y(11). What is the units digit of (374\/4 - 2)*r\/75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**2 - 19*v + 10. Suppose m - 6*m - 18 = -3*w, -3*w - 42 = 5*m. Let y be l(m). Calculate the highest common factor of y and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 228283 by -20753.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/39, -4\/7, -1\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, -21, -46, -69, -90, -109, -126?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (144 - 5*i**2 - 14*i**2 - 146)*((-2*i - i + 5*i)*(4 - 2 - 4) - 3*i - 2*i + 3*i) to b*i**2 + h + o*i**3 + d*i and give o.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -70 in 51, 2, -1, 4, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, d: 5, m: 7}. Give prob of picking 2 d, 1 s, and 1 m.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 5:23 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 - (-5 - -3))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -158709, -317423, -476137?\nAnswer: -634851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 463 + -458. Solve 0 = h*l - 18 - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179 = 8*a - 531. Let p be (3 + (-7)\/2)*a. Are p and -22 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 - 4. Let w(i) = -2*i**2 - 5. Let b = 146 - 143. Give b*w(t) - 4*f(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41131.\nAnswer: 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l + 1. Is c(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.572709 minus -0.124?\nAnswer: 3.696709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10825574471 rounded to the nearest one million?\nAnswer: 10826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 774.9318mg in grams?\nAnswer: 0.7749318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -11. Let l = -0.33 - -0.73. Let z be 1 + (-6)\/9 - 20\/(-12). Sort 4, l, k, z in descending order.\nAnswer: 4, z, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*s + 7 + 3, -3*f + 26 = 5*s. Is f at most as big as 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 68 = -2*r, 0*u + 2*u = 2*r + 40. Solve 0 = -6*y + y + 3*w + 31, 4*y - u = -w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 944997564 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 30727.3 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 21*a + 2. What are the prime factors of 16\/(-16) + (-120)\/a*-2?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -966631, -966629, -966627, -966625, -966623, -966621?\nAnswer: -966619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -244, -245, -246, -247, -248, -249?\n\"Answer: -n - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -6. Let s be d\/(-25) - (-1 - 23\/5). Suppose 4*r + p = 196, -56 = -7*r + s*r - 2*p. Calculate the greatest common factor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-76 - (-32 - -44)) + (28 - -1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) -1\/7  (c) 13  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50, -184, -404, -710?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 710 and 334?\nAnswer: 118570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 168*h - 138 + 2490 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2221450 and 9050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 20474.8416 to the nearest integer.\nAnswer: 20475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**9\/45360 + u**8\/10080 + u**7\/7560 + u**4\/12 + u**2. Let l(n) be the second derivative of p(n). Factor l(o).\nAnswer: o**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1423.597 decades to years.\nAnswer: 14235.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/(12\/200*5). Let v = 11741 - 164461\/14. What is the common denominator of v and (1\/(w\/28))\/((-12)\/(-590))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3502 in -0.3, -2\/173, 1\/24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 2*c - 230, 0 = -2*z + 4*c + 154 + 106. Suppose 0 = 118*r - z*r + 220. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 169 + -153. Let o be 32\/b + 3 + 0\/1. Solve -o*m = -3*m + 5*z + 13, -9 = 2*m + z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 102 = 108. Suppose -5*g + 114 = 2*i, 7*g - y = 2*g - 5*i. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (-15 - (-22 - (-2 - 12)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -74805*d**2*q + 1845068*d**2 - 46*d*q - 4*d wrt q?\nAnswer: -74805*d**2 - 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 10337, 12314, 15599, 20186, 26069, 33242, 41699, 51434?\n\"Answer: -v**3 + 660*v**2 + 4*v + 9674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -63443, -126898, -190339, -253760, -317155, -380518?\n\"Answer: x**3 + x**2 - 63465*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34960*f**2*m - 652841*f**2 + f*m**2 wrt m.\nAnswer: 34960*f**2 + 2*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 4466?\nAnswer: -446b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 1:43 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 12 = 10. Find the third derivative of 2*t**6 - r*t**2 - 4*t**6 + 3*t**2 wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 3*i - 7 + 40 = 9, 5*i - 18 - 12 = 5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/35323 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*l + 782*l - 23037 + 5595 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -148331*n + 3263274. Calculate g(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**5 + 202*l**4 - 3850*l**3 + 20390*l**2 + 3852*l - 20592 = 0.\nAnswer: -1, 1, 11, 12, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000301514323 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(34)\/(1*(sqrt(2) + 2*sqrt(2))))**2 + -1 + 6*(0 + sqrt(612)*1*1)**2.\nAnswer: 33101\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 2*i. Let t = 40\/277 + 170629\/1939. Let a = 88 - t. Which is bigger: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -10 + (-3550)\/100 - (-17)\/(-34).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 7*b. Let y be z(-7). Suppose -x + 6*x - 115 = y. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13998860*a**2*l**3 - 33*a**2*l**2 - 15*a**2*l - a*l**2 - 3*a*l - 333*l wrt l.\nAnswer: 83993160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*q - 26*q = 122*q - 8050 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 181408908 and 43.6.\nAnswer: 181408951.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 6c?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -15, -24, -39, -60?\n\"Answer: -3*m**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 86, 82, 76, 68?\n\"Answer: -b**2 - b + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-4 - (3 - 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.8 - 5549761133452.\nAnswer: -5549761133453.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 8 = -4. Calculate the remainder when ((-4)\/(-14) - 1309\/(-49)) + v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*h**2 - 9*h**2 - 8*h**2)*(1 + 1 - 1) + (4*h - 2*h - 3*h)*(-4*h - 2*h + 5*h) to the form c*h**2 + k*h + v and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2496, 2664, 2926, 3270, 3684?\n\"Answer: -2*x**3 + 59*x**2 + 5*x + 2434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -q**2\/2 + 1. Let f be v(-3). Find the third derivative of -f*h**2 - 4*h**5 + 2*h**5 - 2*h**2 + 3*h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.16?  (a) -4  (b) 0.07  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 18*h = 70 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 7*o**2 + 7*o - 6. Let v(s) = 3*s + 1. Let r be v(-3). Let i be w(r). Solve 0 = -i*a - 0*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 2*a + a)*(-40 + 40 - 6*a**3) + (7*a + 6*a - 2*a)*(3*a**3 - 2*a**3 - 3*a**3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from jjjjhhjjj.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.05444 rounded to 1 dp?\nAnswer: 53.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 4. Let g be u(-2). Suppose 3*s - r + g = 0, r - 6 = 4*s - r. Which is smaller: s or 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.693643 to 1 dp.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 14 = 3*g, 10*q = 14*q - 2*g - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 2)\/(3 + 8\/(-4)). Suppose -2*l + 270 = 7*l. Let h = l + -26. Solve -3*s - z = -h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7*t**3 + 56*t**2 - 13*t + 22. Let d(s) = -2*s**3 - 14*s**2 + 3*s - 5. Calculate -9*d(j) - 2*f(j).\nAnswer: 4*j**3 + 14*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(1210\/(-1551))*23\/69\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12.1 - -11.02. Let r = -0.88 - z. Suppose -2*o = 3*o - 20. Which is the nearest to 1?  (a) o  (b) r  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/66 and -111\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xsx when three letters picked without replacement from aaxsasxassa.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-2\/23))\/s**(5\/3)*((s**(-9)\/s)\/s)\/(s**(-1\/2)*s) assuming s is positive.\nAnswer: s**(-1667\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 613311 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 919917*m**3 - 273*m**2 - 668?\nAnswer: 5519502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-32)\/(-20))*24\/180.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -900 - -900.0005415. What is n rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 3. Suppose p*w = 2*w + 26. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 573*v**3 - 601*v**3 - 1370*v**3 - 662*v**3.\nAnswer: -2060*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1457, -5843, -13163, -23423, -36629, -52787?\nAnswer: -71903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/408 and -59\/153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-7843)\/(-124))\/((-1)\/(-1 + -3)). What is the greatest common divisor of z and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of 0*a - 2*a**2 + 0 + 0*a**3 + 0*a**4 - 1\/30*a**5. Let y(b) = b. Let f(r) = -r. Let g(l) = f(l) + 2*y(l). Give j(g(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -74 + 13?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 8271  (c) -3\/5  (d) -1\/4  (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -60*q + 1. What is m(1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (8 - 5 - -7) + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 18 = -a, -5*p - 51 = -a - 3*a. Suppose -10*s - 13 = -m - 11*s, 4*s = 4*m - 52. Find the second derivative of a*l + m*l**4 - 105 + 105 wrt l.\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1379058343 rounded to the nearest one million?\nAnswer: -1379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, 55, 156, 287, 442?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 357500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -2\/9, 5, 46, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7479950 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 - 26. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o + 0*o + o)*(16*o + 51 - 84 + 44) as p*o + d*o**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7 = -p + 3*p, -2*p + s = -3. Let o = p + -8. Which is greater: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by 91?\nAnswer: -20\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 + c - c + (-19 - 10*c + 38 - 21)*(14*c - 29*c + 22*c + 2) to v + y*c + m*c**2 and give m.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 768 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 + 8*p**2 - 5*p - 10. Let g be d(7). Let l be (-12)\/63*(-18)\/g. Let b = -753 - -752.6. What is the second smallest value in 2\/3, l, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328696 is divided by 742.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -232 + -114444215?\nAnswer: -114444451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4086*o - 4088*o + 8189*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 132498*l + 794991. What is s(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27778993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3862 - 4?\nAnswer: -3866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z**2 + 5*z + 7. Let w be p(-2). What is the derivative of -1 + 0 - 5 - 3*h + w wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8368114, -8368115, -8368116, -8368117, -8368118?\nAnswer: -8368119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.99 + -0.01. Let u = 0.075 - -3.025. Let x = u - 3.1. Which is the nearest to 1?  (a) x  (b) y  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hkkkkkkkkkkkkkkkkkkk. Give prob of sequence hkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15250, 60995, 137236, 243973?\n\"Answer: 15248*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -2, 1\/2, -35 in increasing order.\nAnswer: -35, -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64690.\nAnswer: 2, 5, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 155 = 5*k, -11*k - 4*n = -7*k - 132. Calculate the remainder when 1035 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2846.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 10:44 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 b when four letters picked without replacement from bbybbbyyyy?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 24*c**2 + 35*c - 70. Does 4 divide s(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105 divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1403010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.055 and -0.044.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120202 + -10?\nAnswer: 120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -22?  (a) -3  (b) -1\/3  (c) -2\/83  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**15*n\/(n\/(n*n**(-12\/7)*n*n))*n)\/((n*n**(1\/10)\/n)\/n)**(-32) assuming n is positive.\nAnswer: n**(-368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 127 + -42. Let y(i) = -i**3 + 5*i**2 + 16*i + 3. Let b be y(7). What is the greatest common factor of b and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 - 8*v**2 + 11*v + 6. Let q be a(6). Suppose k - 3*k = q. Suppose -3*t + 8*t - 35 = k. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25*61\/(-4575)*372\/4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 163*l**4 - 12*l**2 - 216 + 180*l - 20*l**3 - 103*l**4 - 56*l**4 = 0. Calculate l.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -6 + 0*g - g**2 - 2\/3*g**3 + 1\/2*g**4 + 2\/5*g**5. Find l such that h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9.9 - -17.6. Let y = v + -14.7. Which is the fourth smallest value?  (a) 5  (b) 2\/7  (c) 0  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**3\/3 + 148*k**2\/3 - 1399*k\/3 + 2198\/3 = 0. Calculate k.\nAnswer: -157, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*b + 2*b**3 + 11*b**2 + 3 + 12*b**2 - 25*b**2 in the form o*b**3 + p*b**2 + g + y*b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20135 by 5.\nAnswer: -4027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-1 + 0) - 0. Suppose 2*x = -x + 6. Suppose -2*m + 3*m - t*v + 6 = 0, x*m - 9 = -3*v. Solve m*h = -h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 25\/2. Let g(f) be the second derivative of -n*f**4 + 3\/20*f**5 + 1\/10*f**6 + 0 + 0*f**2 + f + 0*f**3. Factor g(q).\nAnswer: 3*q**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -115*x**2 + 47*x + 6. Give m(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1919 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 1131\nAnswer: -452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-39 - 148 - 201 + (1 - 1 + 1)*(0 + 0 - 2))*(-2*l**3 + 6*l**3 - l**3) + (0*l**3 + 3*l**3 - 4*l**3)*(-4 + 4 + 1) as m*l**3 + h*l + z*l**2 + f and give m.\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 + 0*y - 3*y + 12*y - 7 - 8*y as w + p*y**2 + q*y and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + p = -6. Suppose -2*k - j = -6, -8 + 2 = -5*k + p*j. Find the third derivative of 2*h**6 - 3*h**6 - 3*h**2 + 2*h**k wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 + 21. Suppose -2*i = 2*i - 80. Suppose 0 = -l*d + d + i. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42 + -41. Let p be (-12)\/(-12)*(-44425137 + x). Let z = p - -80125136. Round z to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1340 and 854.\nAnswer: 572180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r**3\/6 - r**2 - 9*r. Suppose -30 = 2*d - 5*d. Suppose 0 = 7*b - 4 - d. What is v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 3) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 4:45 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -2*h - 4, o + 5*h - 13 = -0. Let w be (36 + -36)\/(-2 + o + 2). Sort 10, w, 2, -3 in decreasing order.\nAnswer: 10, 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3070536*n**3 - 1917*n**2 - 685 wrt n.\nAnswer: 18423216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*l - 102 = -46*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 212476 is divided by 4407.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24694736179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -813913*b - 813859*b - 813936*b + 2441692*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -40\/573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-29 - -1 - (4 + 9))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*x - 12, -3*m - 2 = 3*x + 10. Which is the nearest to 2\/7?  (a) -0.1  (b) m  (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 7 + 19 = d, 12*x - d = -14*x + 50 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-2)*56\/(-147)*9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 1 = -o - 5*g, 0 = 2*o + 3*g - 1. Solve -15 = o*m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of k**5\/60 + 5*k**4\/24 - 4*k**3\/3 + 36*k**2. Suppose -3*d + 2*d = 0. Let i be 12*(-2)\/(4 + d). Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 2*a - 84. Suppose 4*y = 4*u + a - 8, u = 3*y - 3. Let m = 14 + u. Calculate the least common multiple of m and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 8, 2\/3, -3.7, -0.2, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2651, -2670, -2701, -2744, -2799, -2866?\n\"Answer: -6*i**2 - i - 2644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 71401*n**2 + 7. What are the prime factors of s(-1)?\nAnswer: 2, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v - 5. Suppose 0*j = 5*g + 4*j - 344, 0 = 4*j + 16. Suppose -g - 12 = -6*l. Suppose 6*b + 4*b = l*b. What is f(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3271151*q**3 + 51957*q**2 - 20?\nAnswer: 19626906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 5 + (9 + 1 + -11 - 32).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 31*g**2 + 65*g - 53. Is 14 a factor of k(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) -0.4  (b) 2\/45  (c) -3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 8*l - 5. Let x(a) = a. Give -i(w) + 2*x(w).\nAnswer: -6*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 28 - 8 = 3*r, -2*m - 49 = -3*r. Let h = 1522 - 1528. Let j(l) = -20*l**2 - 11*l + 20. Let k(t) = 7*t**2 + 4*t - 7. Calculate h*j(d) + m*k(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of 31*c**5\/15 - 2*c**4 + 120*c**2. What is the second derivative of u(n) wrt n?\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pzpzzop. What is prob of sequence ppz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 225?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k = 33*k - 3300. What is the greatest common factor of 2530 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1531452 to the power of 1\/2, to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -368. Let f = h - -229. Which is greater: f or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/3  (b) 7\/37  (c) -1  (d) 1\/4  (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 33 = 2*v, -2*v - 4*o = v - 32. Suppose 7 = v*z - 21. Suppose 5*a + r - 2 = 0, -2*r = 4*a + 3 - z. Solve a = 3*s - 5 - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -419, -841, -1263, -1685?\nAnswer: -2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = x + 20, -4*a + 2*x + 16 = 0. Suppose -b - 11 = -5*h, b = h - 4*b - 7. Let n = h + 10. Solve -6*r + a*r = -n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67104559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/8)\/((-6*(-16)\/(-384))\/((-304)\/(-36))). Factor i*z - 74\/3 - 2\/3*z**2.\nAnswer: -2*(z - 37)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 272 + -249. What is the remainder when 77 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.949344 + 2964776.\nAnswer: 2964775.050656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*v - 318*v + 59 + 522 = 98*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36359 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iau when three letters picked without replacement from auisiiiri?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*4*2*sqrt(209))\/(sqrt(121)\/(2*sqrt(1584))) + -4)*4.\nAnswer: -2304*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 830*p - 832*p + 51, -l - 11*p + 195 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 476487\/(-40680) + 2\/(-20). Let o be (1 - 11\/4)\/(565\/(-20)). Let k = u - o. Find the common denominator of -57\/40 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/9  (b) 2\/5  (c) 22\/3  (d) -81\/5  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -442, -338, -152, 116, 466, 898, 1412?\n\"Answer: 41*c**2 - 19*c - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9499*j**6 + j**5 + 3*j**4 + 3*j**2 + 1293*j.\nAnswer: 1139880*j**3 + 60*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2307 and -0.3?\nAnswer: -0.06921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 5*w - 2, -7*w = -4*x - 2*w - 4. Let d = -17345\/11 + 1575. Are x and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1078, -1429, -1780?\n\"Answer: -351*i - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 16 = 3*v, 322*v = 318*v + 5*c + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 281, 2242, 7575, 17966, 35101, 60666, 96347, 143830?\n\"Answer: 281*x**3 - 6*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 3*z**2 - 10*z + 3. Let d be v(5). Solve 13*i - 16*i - d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -15  (b) 2  (c) -328  (d) 0  (e) -1\/3  (f) 6  (g) -38\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/9 and (1495\/(-295) - -5)\/1.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 6*b**2 + 17*b. Suppose 5*t + 17 = -4*d, -3*d + 3*t + 25 = 2*d. Let c(y) = -3*y**2 + y**2 + 3*y**d + 6*y + y**2. What is 17*c(m) - 6*z(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 - 9*y - 14. Let q be u(9). Let s = 12 - q. Suppose 3*n - s = -4*x + 3, 2*x = 2*n + 4. Which is greater: n or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 2:32 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80 + 88. Let p be -1*2\/m*0. Suppose 4*j + 5*n - 3 = 10, p = -5*j + 2*n + 8. Solve -3*b = -f + 4, j*f - 3*b = -b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 8. Suppose w*u + 3 = 7. Let c(j) = 250*j**2 + 2*j - 1. Is c(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + (-225605 - -4) - 2. Let f be j\/(-49) + (-2)\/14. Suppose 2*x + x - 2*q = 3452, -4*x + 4*q = -f. What is x rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 413*l**2 - 12*l - 12. Let g(d) = 483210*d**2 - 14042*d - 14042. Calculate 6*g(v) - 7021*w(v).\nAnswer: -413*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1068 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1172112 and 20616?\nAnswer: 1006844208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13 - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 2042 divide 4332664550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 5. Let q(w) = 3*w + l*w - 4*w + w. Let h(a) = -5*a. Determine 6*h(j) + 13*q(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.4 + 1.4. Let y = c + -2. What is the closest to 1 in 1, -1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110942 is divided by 204.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f + 36 = 16*f. Put 1, 7, f in ascending order.\nAnswer: f, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -43, -16, 11, 38?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1649 = 3*t + 2. What are the prime factors of t?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {m: 2, o: 1, b: 4, y: 1, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 371 * -0.0111\nAnswer: -4.1181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -41\/22, 5, -2, 3\/2, 0.3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -226*d**4 - 466*d**3 - 6028*d**2 + 57*d wrt d.\nAnswer: -5424*d - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1435926754.9999883 - -1435926868. Let t = 113 - z. Round t to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 82601496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 11. Let b(t) be the first derivative of 2*t**3\/3 - 5*t**2\/2 - 8*t + 15. Let y(p) = -4*p + 1 - 10 + 2*p**2 + 2. Determine j*b(v) + 6*y(v).\nAnswer: 2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -109066 by -54533.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {v: 2, k: 2, c: 1, g: 2, f: 2, j: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**3 - 7*m**3 + 5*m**3 + (m + 0*m + 2*m)*(-2*m**2 - 2*m + 2*m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*n**2 + 2699116*n - 2161190 wrt n?\nAnswer: 4*n + 2699116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1495 is divided by 490.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nqqq when four letters picked without replacement from nzqzznqqnzqnqz?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/36181858 and -13\/685912.\nAnswer: 144727432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 13*k - 5. Calculate the lowest common multiple of x(12) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 164867670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -9*t. Let c(d) be the third derivative of d**5\/20 + 12*d**2. Calculate c(u(a)).\nAnswer: 243*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = v - 6, 2*r = 7*v - 3*v - 52. Suppose 0 = -4*g - 20, 0 = -2*m + 390*g - 386*g + 156. Calculate the remainder when m is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 7131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/966  (b) -11  (c) -1  (d) -2\/9  (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -25*y**3 - 17*y**2 - 3. Let d(j) = 49*j**3 + 35*j**2 + 5. Let f(q) = -3*d(q) - 5*x(q). Find the third derivative of f(o) wrt o.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from {u: 14, r: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -70*v**3 + 1. Let g(p) = -p**2 - 3*p - 1. Suppose -2*z = -4 + 10. Let j be g(z). Is b(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1352*h + 2452*h - 8800 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 7*x - 4*x)*(2 - 2 - x) - 2*x**2 + 0*x**2 + 0*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 3*j + 97 = 0, -4*b + 3*j + 79 = -0*b. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8559 and 1350?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -253817 (base 9) to base 3.\nAnswer: -21210220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-4))\/((-16)\/96). What is the remainder when 3 + 1 + (h - -62) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5\/11, -0.2, -294?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-3)*(-7)\/(91\/26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1404*q - 1400*q - 8*o - 157 = -509, 5*o - 242 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 7*z + 17*z - 9*z + 24 - z**2. Let r be y(12). Calculate the highest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 345 + -204. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 193 + -196. Which is the nearest to 3\/5?  (a) v  (b) 2\/23  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and -241033.\nAnswer: 1687231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 + t**2 - 5*t**2 + 2*t**2 + t**2 - 5*t**2 + t + t**2 - t + (-1 - 4 + 3)*(-1 - 2*t**2 + 1) - 43*t**2 + 50*t**2 - 71*t**2.\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkjkzeipeze. What is prob of sequence jzie?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 234737 at least as big as 234715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-2) - 4\/(-2). Suppose 4*f + 2*a = -22, 0*f - 3*f = -3*a + 3. Let k = 755.5 - 758.5. What is the fourth smallest value in g, -1, f, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -557, -981, -1197, -1169, -861, -237, 739?\n\"Answer: 6*x**3 + 68*x**2 - 670*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 h when four letters picked without replacement from {b: 5, h: 6, a: 1, l: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**3 - 752*r**2 = 0. Calculate r.\nAnswer: -188, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143 (base 10) to base 7.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + 95 + (-3 - -3). Let d be (125\/(-15) - -8)*(-1 + 1). Suppose d = -h - u + 106. Is -4 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2571.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57 + -21. Let j = w - 36.0000107. What is j rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 485657 by -5.\nAnswer: -485657\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 + 0.4. Let h = 16 - m. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffxfffffwfxfw. Give prob of sequence wxf.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 37f45f?\nAnswer: -37f464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + g + 5*p = 60, 3*g + 4*p = 33. Suppose 19*y = g*y + 32. Suppose -86 = y*o - 9*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**6\/r**(2\/9)*(r\/r**7)\/r**(-6) assuming r is positive.\nAnswer: r**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2410375 by -19283.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/2*(-108)\/(-729). Which is the nearest to 2\/3?  (a) -4  (b) -0.2  (c) 4\/5  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184243202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 3*i - 4*q + 4132 = 0, 3320 = -4*i - 4*q. Let f = 2390\/3 + i. Let k = 31 + f. Which is smaller: k or 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n - 111 = 51. Suppose q - 3*i - 26 = 6*q, 18 = -2*q - 5*i. Put -1, q, 5, n in ascending order.\nAnswer: n, q, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -229 (base 10) to base 5.\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y - 5. Let p be a(6). Let k(g) = p - 1 + g + 5. What is k(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -827.2?  (a) -1.6  (b) -14  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j**3. Suppose -4*p - 4*x - 4 = -x, 0 = 4*x. Let n(u) = u**3 + u. Let r(c) = p*b(c) + 2*n(c). Solve r(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 60*m**2 + 82*m + 1363. What is o(-59)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (767 + 345\/(-15))*(-11)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((147\/14)\/(-7))\/((-66)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 10*j**2. Let l(w) = -17*w + 2. Calculate f(l(a)).\nAnswer: 2890*a**2 - 680*a + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 12) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008288 rounded to 5 dps?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 83180585699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 3*d = 95*s - 88*s - d - 31, -2*d + 14 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 65834 and 8?\nAnswer: 65826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of v**4\/12 + v**2\/2 + 3*v. Let j be d(1). Solve -3*g = -5*a - 5 + 1, -a + 2 = -j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p - 3 - 2)*(-56*p**3 - 61*p**3 + 123*p**3).\nAnswer: -12*p**4 - 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 524\/1335397 - -9066467301\/779871848. Let a = v - 1\/1022. What is the common denominator of a and -48\/23?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24375 and 125025.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 10:55 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-62)\/(-5) - (-8)\/(-20). Let u = 5 + s. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of 6*v + 0 + 7\/12*v**4 + 0*v**2 + 0*v**3. Let h(y) = 2*y**2. What is h(j(u))?\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hjmug. Give prob of picking 1 g and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -502 - -665. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.844 - -2.344. Are v and -1.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.635 - -0.385. Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 322 is divided by 111?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**4*k**(3\/7)*k)\/((k**(-1\/3)\/k)\/(k*k**(5\/3))) assuming k is positive.\nAnswer: k**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*((-549)\/(-189) + -3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x. Suppose 2*n - 4*d = -2*n + 36, 3*d + 20 = 2*n. Let b(p) = n*p + 8 - 2 - 1. Let a(w) = 10*w + 7. Let g(q) = 5*a(q) - 7*b(q). Determine j(g(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 29 - 16 = 0. Suppose -f*r = -2*r - 14. Factor -r*c**2 + 1 - 17*c - c**5 + 2*c**4 + 2*c**3 + 16*c - c**4.\nAnswer: -(c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 1:06 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*i**4 + 2550675*i**3 + 26143488*i**2 + 70140255*i + 15940950 = 0. What is i?\nAnswer: -212546, -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 9:52 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -887 + 837 - (3 + -20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 67051425 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) 4\/5  (b) 1\/7  (c) -9\/13  (d) 305  (e) 3  (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -151\/39, 3, -1\/9, -4.57 in decreasing order.\nAnswer: 3, -1\/9, -151\/39, -4.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(1\/2)*d*d**8\/d*(d**2*d)**(7\/9)*(d*d*d**(1\/7)*d*d\/(d\/(d\/(d\/d**(-6)))))\/(d**2\/d*d)**(-7) assuming d is positive.\nAnswer: d**(923\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.233 - 0.267. What is the nearest to -3\/11 in 0.3, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 7*i**3 - 8 + i**3 - i**3 - 6*i. Let a(u) = 5*u**3 - 4*u - 5. Let g be (8\/5 - 8\/20)\/((-336)\/(-2240)). Give g*a(y) - 5*k(y).\nAnswer: 5*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 770.0866 litres in millilitres?\nAnswer: 770086.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 4*o**2 + 2*o + 5. Let b(g) be the third derivative of g**5\/60 + g**4\/6 - g**3 + g**2. Let r be b(-5). Let q be (4\/(r - 0))\/1. Determine c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 303, 1155, 2545, 4467, 6915, 9883?\n\"Answer: -u**3 + 275*u**2 + 34*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 5*z - 24 = 0, 3*s - 2*z = 2*z - 3. Suppose -73*c + 74*c = 7. Calculate the smallest common multiple of s and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76279 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*q**2 + 202*q**2 + 25*q - 86*q + 30*q + 31*q.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7644828 to the power of 1\/2, to the nearest integer?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2659, -5312, -7961, -10606, -13247, -15884?\n\"Answer: 2*w**2 - 2659*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*w - 6 = 16*w, -16 = 3*t - 5*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 94*x - 1499. Let g be m(-52). What is g rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 148509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*f - 59576 = 0, 12*f - 14*f - 178763 = -3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 + 25. Let l be z(5). Let v(c) be the second derivative of 1\/6*c**2 - 3*c + 1\/9*c**3 + 1\/36*c**4 + l. Factor v(r).\nAnswer: (r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 + 7479080664.\nAnswer: 7479080664.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2 and 0.01929952367.\nAnswer: -1.98070047633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 26, 39, 68, 119, 198, 311, 464?\n\"Answer: a**3 + 2*a**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 7.099. Let z = 46.901 + o. Let v = 50 - z. Sort 0.1, v, 1.\nAnswer: 0.1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-191 - 973 - l - 151)*(l - 3*l + 8*l).\nAnswer: -6*l**2 - 7890*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9704 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-i + 0 + 0)*(261796 - 138073 - 144449)*(-i + 3*i - 4*i) to g*i + h*i**2 + f and give h.\nAnswer: -41452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -149*b**2\/2 + 253*b + 85. What is the derivative of h(y) wrt y?\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 211969900 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 700968221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 563074291 to the power of 1\/2, to the nearest integer?\nAnswer: 23729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -10\/7, 78, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.1, 0.5, 2.5.\nAnswer: -1, -0.1, 0.5, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 10}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.6 and -106938.\nAnswer: 919666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -4*z + 5443, 3*w - 6*w = 2*z + 3279. What is the common denominator of w\/90 - 2\/(-9) and -139\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 5*k**2 - k - 1. Let m be y(-1). Let j = 520 + -298. Suppose m*v - 13 = j. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -k**5\/20 - 5*k**4\/4 + 39*k**3\/2 - 4788*k**2. Suppose s(f) = 0. Calculate f.\nAnswer: -13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 162, 84, -20, -162, -354, -608, -936?\n\"Answer: -2*c**3 - c**2 - 61*c + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4 - 12 + 0*p + 4*p + p**2. Let h be n(-6). Solve -3*a + 5 = -h*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23474 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2814 = -4*a, -2*a - 4*u + 1410 = -0*a. Let i = a - 462. Does 44 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 185 + -167. Suppose w + 4*l - 11 = 0, -2*w - 2*l + 127 = 3*w. What is the lowest common multiple of w and (-4)\/2*a\/(-3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -83*p - 17. Let a(y) = 3 + 1919*y - 948*y - 957*y. What is 34*a(n) + 6*q(n)?\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149864 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -11*s + 3. Let n be r(8). Let k = n - -119. Let j = -33 + k. Solve -w + 2*w = 3, -2*i - w - j = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 740768 = -3*c - 4*f + 740773, 3 = 3*c + 3*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (195\/(-13))\/3*(-2)\/(-65)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = n - 20, 5*m - 1 = -11. What is the remainder when 3\/2*(-92)\/(-2) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/89695 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27663669.\nAnswer: 3, 11, 279431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 4. Suppose n - g = -0*n. Does 3 divide (-18)\/n*(1 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 2. Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from zuuuuuzuuuzu.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 16*b**2 + 95*b - 1834. What is h(17)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqp when three letters picked without replacement from {q: 3, z: 1, l: 2, p: 10}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1aaa - -26?\nAnswer: 1b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 431, 509, 585, 659, 731?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q**2 + q**2 + 347551 - 347551 - 4*q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1506681736 a multiple of 4648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -22 equal to -124401\/5314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.7 - -1.6999768. Round z to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80668 divided by 136?\nAnswer: -20167\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-63)\/(-45) + 3\/5. Solve 5*j = 3*g + 13, 2*g + k*g = -5*j + 41 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-423)\/(-47))\/(0 - -3). Suppose -2*v + 5*p + 50 = 0, 5*p = -5*v + 3*p + 67. Find the first derivative of j**c + 26*j**3 + 4 + v - 1 wrt j.\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 13*g**2 + 48*g - 22. Let d = -227 - -279. Calculate the lowest common multiple of v(7) and d.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 179\/2, 8, 3, 25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 2*f + 166 = 5*h, f = -4. Suppose 0 = -d - 12 - 4. Let q = h + d. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2234375261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -63, 0, 2563, -2\/5.\nAnswer: -63, -2\/5, 0, 2563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5901, -11996, -18267, -24708, -31313, -38076, -44991?\nAnswer: -52052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 321308837 to the nearest integer?\nAnswer: 17925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 122 + 1192 = 2*m, -3*m + 5*d + 1975 = 0. Let g = m - 305. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 248649399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -75*h**3 + 74*h**3 + 2 + 5 as l*h**2 + a*h**3 + s*h + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/(-35) - (-2 + 2). Is -2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10766526 divided by 203142.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31 - 26) + 41 + -17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15\/7 + -32\/21. What is the closest to -0.2 in -1\/3, -2\/7, 4, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108.9 - 109. Is 39 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 50 + -1 - (3 - -2). Suppose 2*c - 5*u - 6 = 0, -5*c = 2*u - 0*u - f. What is the smallest common multiple of c and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*h = -6*s - 276, -4*h = -8. Let j = s + 32. Let b = j - -35. Solve -3*n + 4 - b = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6143328 is divided by 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.8?  (a) 1\/5  (b) -2  (c) 2\/5307  (d) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419246937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, x: 7, s: 4}. What is prob of picking 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -12 - 7*m**2 - 2*m - m**3 - 3*m + 22. Let f be v(-7). Let l = f + -42. Solve l*h - 8 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/7 + 8502\/4578. Let -q*c - 2\/7*c**2 + 0 = 0. What is c?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f - 2. Give h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -2*w + w - 14, 2*w - 3*q = 11. Let p(l) = -2*l**2 - l. Let g(y) = -14*y**2 - 10*y + 16. Let d(n) = w*g(n) - 6*p(n). Factor d(u).\nAnswer: -2*(u - 2)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4070.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 42*w - 34. Let x be t(-15). List the prime factors of x\/2 + 13\/26.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.0102 - -0.1?\nAnswer: -12.9102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237 is divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 217553 - 217088.204. Let a = -466 + r. What is a rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9471 - 3172. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 + -40. Let z = s + 64. Suppose -4*v - 16 = -z. 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 = -0.1 + 0.08. Let y = 0.02 + r. Is y equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43.7 - -15.7. Let z = -32 - s. What is the third smallest value in -2\/33, -1, z?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence am when two letters picked without replacement from aamv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 6*s - 6. Let f(q) = 4*q**2 - 18*q + 19. Let b(y) = 2*f(y) + 7*k(y). Calculate b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 0. Let f(q) = -4*q. Suppose 2*t = -2*y - 4, 2*t + 2*t = -3*y - 3. Let l(a) = a. Determine g*f(b) + y*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 29580919 + 0?\nAnswer: 29580919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2511 and 16362.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 303*q + 304. Let c(p) = 455*p + 455. Let f(a) = 5*c(a) - 7*i(a). Differentiate f(w) with respect to w.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - 11244234*t + 11244234*t + 20*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27*u**3 - 15270*u**2 + 23664*u + 13536.\nAnswer: 3*(u - 564)*(u - 2)*(9*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4 - 15 = 3*t, -2*t = 0. Suppose 54 = -l*z + 5*z. What is the nearest to z in 5, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (-288)\/40)\/(4\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 7:00 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2.025445 centuries?\nAnswer: 2430.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*((l*l*l**(-6)*l)\/l*l)\/l)**24\/((l*(l**(1\/14)*l)\/l)\/l**(-5)) assuming l is positive.\nAnswer: l**(-1093\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rsb when three letters picked without replacement from {b: 1, p: 1, h: 3, s: 1, k: 2, r: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.104 - -4.804. Let a = b + -5. Let y = 0.5 + a. What is the third biggest value in y, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -69062 divided by -5\nAnswer: 69062\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, t: 2}. Give prob of sequence ttjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*c + 36*c - 3*c - 2*c.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h. Let q be l(-1). Suppose 2*x - 53 = -q*n + x, -2*n = 3*x - 16. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.14 - 0.07. Let w = 3.93 + b. Which is greater: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -85*c - 89. Let x(o) = 43*o + 42. Calculate -6*g(r) - 13*x(r).\nAnswer: -49*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*y**2 + 6*y - 6*y)*(0 + 0 - 2*y**3) + 2*y**5 + 0*y**4 + 0*y**4 - 3*y**5 + 0*y**5 + 2*y**5 + (2 - 2 + y)*(0 + 0 - 2*y**4) - 3*y**4 - y**5 + 3*y**4.\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 58 divided by 58\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 35*n**2 + 2*n + 7. Let v(g) = -33*g**2 - g - 6. Calculate 2*b(f) + 3*v(f).\nAnswer: -29*f**2 + f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 5*n**2 + 8*n - 12. Let u be g(6). Let w be (-2 + u)\/((-20)\/(-8) + -3). Solve -l + 7 = w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.037162 * 5.\nAnswer: 0.18581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**4 - k**4 + 2*k**4 + (0 - k + 0)*(-12*k**2 - 6*k**2 + 2*k**2)*(30*k - 89*k + 18*k).\nAnswer: -655*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-15) + (-1711)\/435.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 187.3 and -2305?\nAnswer: -431726.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1751, 2\/5, 0, -2, 306, -5, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46.48 - -0.58. Let p = d - -46. What is the third smallest value in p, -2, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*f - 20*f - 177*f as l*f + a and give l.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = -402 + 358. Which is greater: -127\/30 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-13) - ((-15)\/20)\/(2145\/336160))\/2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 4*n - 5*n - 4*v, 12 = -2*n + 4*v. Find the second derivative of -n*h**4 + 30*h**2 - 30*h**2 + 3*h wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -5*w**3 + 0 + 2*w - 1 - 5*w. Is 15 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46245077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ygpggggkgppppgppgggk. Give prob of picking 1 y, 1 p, 1 g, and 1 k.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11.99 * -13.2\nAnswer: -158.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*c - 2*s + 38, 2*c - 4*c + 2*s - 22 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 30. Let a be (-3)\/k*7\/8. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 - 12.3. Which is the nearest to -2\/7?  (a) 4\/3  (b) 0.3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 43 - 63.5. Let b = -20.50242 - c. Round b to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2285.101l in millilitres?\nAnswer: 2285101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4244 + -71656. What is s rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 403551 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 + 13015*j - 2011350.\nAnswer: -5*(j - 2438)*(j - 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -9*v**2 - 7. Let y(c) = -5*c**2 - 4. Let s(u) = -4*h(u) + 7*y(u). Let z(p) = 18*p + 3. Give s(z(l)).\nAnswer: 324*l**2 + 108*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 140092867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -883 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -2112043780 to the nearest one hundred thousand.\nAnswer: -2112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/(3 - 16\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (324\/(-72))\/9*(-5)\/((-400)\/(-12))\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -496 or -502?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1074 (base 14) in base 8?\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.0047 and 0.03.\nAnswer: 1.0347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 109 and 1516.\nAnswer: 165244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 33*g - 32 = -31*g, -4*h - 44 = -g for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -5*p - 30, 0 = 3*l + 2*p - 13 + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-90)\/315 - (-1 + 2972\/(-14)). Which is bigger: 212 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 6*q**2 - q + 1. Let d be k(-2). Let o = 57 - d. What is the tens digit of (-40)\/6*o\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1316283*g**3 + 8613549*g wrt g?\nAnswer: 7897698*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/5  (b) -9  (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 1 + 0*u + 2*u)*(0 - 2 + 3)*(2*u - 2*u + u) to j + c*u**2 + x*u and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 209004*s - 4. Suppose -15*o + 19*o = -8. Let l be 3 + -5*(o\/(-5) + 0). Let q be k(l). Round q to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -141 + 144. Let y be i - 94\/13 - -4. Sort 0, -2, y.\nAnswer: -2, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 71\/(-1491)*(-7 - -6 - (5 + 3)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2050395.\nAnswer: 3, 5, 136693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b + b + 53*b + 3476 = -15*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185 = -3*n + 173, 3*f = n + 79750. List the prime factors of f.\nAnswer: 2, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 - x**4 + (0*x**4 + 0*x**4 + x**4)*(-1 + 4 - 5) + (3*x**3 + 2*x - 2*x)*(201017 + 498*x - 201017).\nAnswer: 1491*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 183119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101 + -100100010010001?\nAnswer: -100100010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*(sqrt(1872) - ((sqrt(1872) - sqrt(1872)*-1) + sqrt(1872) - sqrt(1872))*4))**2 + ((-1 + sqrt(1872))*5 + sqrt(1872))**2 + 3.\nAnswer: -720*sqrt(13) + 159146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**5\/3 - 90*o**4 - 1417*o**3\/3 + 3790*o**2 + 16572*o - 19800 = 0.\nAnswer: -6, 1, 6, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (24\/(-9))\/((-74)\/111). Let i = 6.3 + -1.3. Suppose 2*o + 2*o + 17 = -b, b - 7 = 4*o. What is the biggest value in o, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 24, 216, 742, 1770, 3468?\n\"Answer: 28*x**3 - x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.7  (b) 0.2  (c) -74  (d) 3  (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 7 + 39063*v - v**2 - 8 + 14 - 39074*v. Give a(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1527 + 76 = 52*b - 893 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1929 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -914*g - 912*g - 508*g + 4*g**2 + 2334*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 45037.94 litres in millilitres?\nAnswer: 45037940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -6. Find the common denominator of -143\/6 and (-6)\/i + 65\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 31992*m**2 - 7 - 33 + 10 + 20)*(3*m**3 + 3*m**3 - 4*m**3).\nAnswer: 63984*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that u**5\/3 + 5074*u**4\/3 + 2821612*u**3 + 4643264074*u**2\/3 - 18751346069*u\/3 - 7795383460 = 0.\nAnswer: -2076, -1501, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5068, 5121, 5226, 5395, 5640?\nAnswer: 5973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -141373 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**3 + x**3 - 2*x**3)*(-3 + 0 - 2) + 2*x**2 + 2*x**3 - 2*x**2 + (2*x + 2*x - 2*x + 2)*(-5*x + x**2 + 5*x).\nAnswer: 19*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1074*u + 536*u + 537*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(77))\/(sqrt(1008)*-1) - (sqrt(1584)*1 + 2*sqrt(1100))**2.\nAnswer: -11264 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 184*c - 264*c + 240. Let w(l) be the first derivative of 27 - 2*l - 3*l**c + 11\/2*l**2. Factor w(f).\nAnswer: -(f - 1)*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1299179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a + 1. Let s be n(1). Let o(d) = 7 - 2*d**2 + 4*d**2 - d - 3*d**2. What is o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 955*t - 5563. Give s(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2793 or 31269?\nAnswer: -2793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27.7 + 28.1078. Round k to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllzlllllllzllllll. What is prob of picking 2 z?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**6\/360 - f**5\/180 + 3*f**2\/2 - 2*f. Let k(l) be the first derivative of w(l). Factor k(b).\nAnswer: b**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -92 - (38 + (15 + -17 - 23))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -405*o**2 + 405*o**2 + 1305*o**3 - 1314*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -4. Let p = -2.5 + l. Suppose -3*j = -3*r + 24, 2*j - 2 = -4*r - 0. Put p, -2, r in increasing order.\nAnswer: -2, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13042476 divided by -4347492.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 35784?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 574 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 - 1. Calculate the remainder when q is divided by 4\/6 + 70\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -2*r**3\/15 - 36*r**2 - 3240*r + 158. Factor p(z).\nAnswer: -2*(z + 90)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of 113*m**9\/60480 + m**7\/5040 - m**6\/720 + m**5\/30 - m**2. Let q(a) be the third derivative of d(a). Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-3)*(2 - -1). Let k be (-282)\/(-8) + 5\/(-20). Let q be k\/(-11) - 14\/(-77). Sort b, 1, q in ascending order.\nAnswer: b, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 798 and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**2 + 4*o - 5. Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 71*u**2 + u - 46. Let l(x) = -27*x. What is q(l(v))?\nAnswer: 51759*v**2 - 27*v - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 270 and 70.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6029761 to the nearest integer?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 8, o: 1, h: 2, n: 5, p: 2, m: 2}. What is prob of sequence nm?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -202504 * 0.548.\nAnswer: -110972.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.06356 micrograms in kilograms?\nAnswer: 0.00000001406356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 816960 by 6.\nAnswer: 136160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 755698529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 69636039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.946*0.4.\nAnswer: 0.3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 8:16 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 5*l**2 - 8*l - 4. Give g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 37  (b) -2\/7  (c) 0.8  (d) -11.56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 480960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - 2*m**2 + 3*m + 1. Let c(k) = k**3 + k - 1. Let f(g) = -c(g) + j(g). Calculate the remainder when 15 is divided by f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/4  (b) 2\/7  (c) -0.3  (d) 2  (e) -767\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16503842?\nAnswer: 2, 29, 31, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*l**2 + 0*l**2 + l**2)*(-14*l - 11*l + 5*l) + 2*l**3 - 2*l**3 + 2*l**3 in the form v*l**2 + q*l**3 + n + k*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwhiwwsrsdrd. Give prob of sequence ds.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/64*(-10)\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 5*x + 6, 0 = -4*s + 3*x + x + 16. Suppose 3*z + s*z = -4*u - 35, 4*z = 2*u - 2. Put u, -3, 1 in increasing order.\nAnswer: u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11 - 1372?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 38*j**2 - 10*j + 28. Let c(b) = -13*b**2 + 3*b - 10. Let s(v) = 11*c(v) + 4*k(v). Let r be 9\/(-2)*2\/(-3). What is the tens digit of s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 41, -9, 1, -1, 5 in decreasing order.\nAnswer: 41, 5, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 51.66372 kilometers?\nAnswer: 51663720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r - 3. Let f be (-12)\/(-18)*(-3)\/(-1). Suppose -15 = n + f*n. Is s(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 5:22 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 17*i + 62. What is the smallest common multiple of 33 and v(-16)?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 177665694 to the power of 1\/2, to the nearest integer?\nAnswer: 13329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36686, 73371, 110056, 146741, 183426, 220111?\nAnswer: 256796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16406772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 194141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1405370 is divided by 229.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - (-7 + 17) - -7. Suppose -5*q - 3 = -m, -q + 3 = m + 3*q. Let c(z) = -z**2 - z + 2. Let i(j) = -2 - 5*j + 4*j + 3 - j**2. Give m*c(l) + s*i(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 64465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*a = -156. Let d = -25 - a. Solve -4*p = 2*l + 10, -2*l + 4 = 5*p + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 4*l + 20*w - 260 = 0, -2*l + 7*l + 26 = 4*w - 26 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8974996.58 rounded to the nearest one hundred thousand?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 910*r**3 + 4*r**2 + 14724 wrt r.\nAnswer: 2730*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43363 or -43862?\nAnswer: -43363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -437222*f - 9181673. Determine h(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of j**4\/6 + 2*j**3\/9 - 2*j**2 + 114. Factor b(f).\nAnswer: 2*f*(f - 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-18)\/12))\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**3 + 385*h**2 - 2279*h + 1895 = 0. Calculate h.\nAnswer: 1, 5, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 5*c**2 - 11*c + 14. Let m be -4 - ((-2)\/(-7) - 660\/105). Let w(g) = 11*g - 3*g**2 + 0*g**2 - 4*g - m - 7. Give -5*d(b) - 8*w(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - 12 - (-5 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -65 less than or equal to -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of 8\/5*o**5 - 31 - o**3 - 5*o + 1\/2*o**2 + 0*o**4. Find the second derivative of h(m) wrt m.\nAnswer: 96*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 43402 or 43417?\nAnswer: 43417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**7\/1260 + q**5\/15 + 11*q**4\/24 - 11*q**2. Let a(s) be the second derivative of b(s). Determine t so that a(t) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 14 - 8)*(s**3 + 0*s**3 - 5*s**3 + 5*s + 4*s**3 - 5*s + (2*s + 2*s - 7*s)*(3*s**2 + 0*s**2 - s**2) - 2*s**3 - 3 + 3).\nAnswer: 256*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -28, 2075, 3, 2 in ascending order.\nAnswer: -28, -5, 2, 3, 5, 2075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-5)*-64)\/(262\/655)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cxf. Give prob of picking 1 c and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 4. Let w(y) = h*y**2 - 6*y - 2*y**2 - 5 - 1 - y. Is 6 a factor of w(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1.8  (b) 0  (c) -1\/2  (d) -7.1  (e) -9477  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = n + 5*f - 10, 5*n = -f - 15. Let l(z) = 2*z**3 - 2*z**2 - 5*z. Let y(p) = 2*p**3 - p**2 - 4*p. Calculate n*l(v) + 3*y(v).\nAnswer: 2*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13572 by -377.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/21 + (-8)\/(-3). Suppose -3*c = -t - y*t + 9, -3*t + 4*c + 12 = 0. Solve 0 = -t*l + 3*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-6)*21\/(-14). Put 4, m, -3 in decreasing order.\nAnswer: 4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k**2 + 12*k + 3. Does 2 divide i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -31578*p + 252566. What is r(8)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10871594.\nAnswer: 2, 23, 236339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 3*h - 7*y - 19, 4*h = 4*y + 24. Suppose h*d - 2*d - 5*x = 3, -d - x = -1. Is 17 a factor of d\/((-150)\/51 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 858 divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2565 is divided by 961.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/5  (b) 0  (c) -3  (d) 0.16  (e) 2677\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 718299 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -2*b**2 - b + 1. Let k be n(-1). Suppose 29 = 3*g - 4*t, 3*g + 0*t + 2*t + 1 = 0. Solve 0 = g*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -146*g*l**3 - g*l**2 - 9*g + 2*l**2 + 5*l wrt l.\nAnswer: -876*g*l - 2*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/40*(0 + 80\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4956*b. Let n(v) = -4*v + 2. Let x(o) = 17*o - 8. Let m(d) = 4*n(d) + x(d). Determine m(f(i)).\nAnswer: 4956*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -338*m**3\/9 + 598*m**2 - 3174*m - 1907. Factor u(y).\nAnswer: -2*(13*y - 69)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -r**2 + 1. Let l(s) = 32 - 32 + s**2. Determine l(v(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 8) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 195 + -1757\/9. Which is the biggest value?  (a) -3\/5  (b) y  (c) 3\/4  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m + 20, -47*j - 8*m = -50*j - 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1488465 and 873.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -2, -111776?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 0. Suppose -t + 2*c + 41 = 1, -3 = -n*c. Suppose -84 = v - 4*v. What is the greatest common factor of v and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, -3, 10, 3, -116, -2 in ascending order.\nAnswer: -116, -84, -3, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.091015 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 6*j**3 - 14*j**3 + 5*j**3 - 23*j.\nAnswer: -3*j**3 - 23*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b. Let c be j(-3). Factor 10*n + 9*n**2 - 3*n**4 - c*n**3 + 3 - 7*n - 9.\nAnswer: -3*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/396*-6)\/((-19)\/38)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -q**5\/20 - 7*q**4\/24 - 6*q**2. What is the second derivative of t(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 137926491\nAnswer: -41377947.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6125850 and 3403250.\nAnswer: 30629250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1 + sqrt(396) + -4 + sqrt(396) + -2)**2 + 3 + 5*(-1 + sqrt(396))**2).\nAnswer: -180*sqrt(11) + 3597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*s**2 + 2116\/3*s - 352\/3 = 0 for s.\nAnswer: 1\/6, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.395 - 0.605. Let r be (-6)\/((1\/(-1))\/(-1)). Let b be 2 + r - (1 + -1). What is the biggest value in b, -2\/5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 - -646\/15. Let x(q) be the first derivative of 1\/10*q**4 + 0*q**2 + 1\/25*q**5 + 0*q + 4 + v*q**3. Suppose x(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76030781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 5*b + 15 - 9, 2*c + 4*b + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-42)\/7)\/(4\/(-1)))\/(((-312)\/26)\/(-144))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5264976 and 6?\nAnswer: 5264976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2919*v - 311193 = -609*v + 4973*v - 27156 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -297*c + 560*c - 289*c. Let x(g) = 14*g**2. Calculate x(b(k)).\nAnswer: 9464*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**2 - 228*v + 5*v**2 + 463*v - 235*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3119567*z**2 - 4107756*z wrt z?\nAnswer: 6239134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -15  (b) -2  (c) 1\/10  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4429*d**3 + 17*d**2 - 7*d + 25. Let q(j) = 2214*j**3 - 7*j**2 + 3*j - 10. What is -2*m(s) - 5*q(s)?\nAnswer: -2212*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 + 4*w**2 - 2*w**2 + (-5*w + 2*w - w)*(w + 0 + 0) + w**2 + 2*w**2 - 4*w**2 + (-2*w**2 - w + w)*(0 + 0 + 1) + (0*w + 3*w + 0*w)*(-4*w - w + 3*w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 232*c + 367 wrt c.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 47745?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3763 greater than or equal to 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-350)\/(-100)*2\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-6))\/((-1)\/(-6)). Suppose 4 = 4*i, -i = -l - q*i + 4. Let x be (-1 + 8 - 4)\/((-15)\/25). Which is the biggest value?  (a) 0.6  (b) l  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 14 + 67 + -5 + 3\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5574 + 11147\/2. Let z = 0 + -0.1. Suppose 3*q = -4*j - 2*q, -5*j = -5*q. Which is the closest to z?  (a) w  (b) 2\/11  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 4) + (10 - (-53 + 105)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*w**2 - 1213535*w - 485410.\nAnswer: -5*(w + 48541)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 435*o**2 + 522*o**2 - 994*o**2 + 2*o + 632*o**2 to m*o + i + v*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 94, 246, 456, 736, 1098?\n\"Answer: 2*m**3 + 17*m**2 + 87*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -7\/326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-855)\/55 - (-17 + 2)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 9\/74012 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4) - 497952\/66240 - (-2)\/4*14\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 364 and 188.\nAnswer: 17108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -187*k - 199.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 + -0.4. Which is the nearest to 0.1?  (a) q  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -81.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168 and 1368?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7657 or -191422\/25?\nAnswer: -191422\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of -r**9\/756 - r**6\/180 - r**3\/6 - 4*r**2. Let a(t) be the first derivative of c(t). Find the third derivative of a(h) wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*n + 2227*d - 2223*d - 20, 3*n - 19 = -4*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12, -4, 8, 24, 44, 68?\n\"Answer: 2*k**2 + 2*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45*q**5 + q**2 + 57*q**5 + 2*q**2 wrt q.\nAnswer: 720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 797*k**5 + 745*k**5 + 979*k**5 + 935*k**2 - 179*k**5 wrt k.\nAnswer: 140520*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6334610.\nAnswer: 2, 5, 633461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14332 + 13*d**3 - 14334 - 821*d - 11*d**4 - 6*d**4 wrt d.\nAnswer: -204*d**2 + 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*j + 125*j = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -5*u**2 + 0*u**3 + u**2 + 5 + 3*u - u**3. Suppose -4*p + 22 = -3*c + 4*c, c - 2*p = -8. Suppose -3*h + d = c*h + 24, 0 = 4*d - 16. Determine l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21426814 by 293518.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -172767526*f**2. Let b(k) = -2*k. Give c(b(q)).\nAnswer: -691070104*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z = 8*z - 8291 - 17085. Solve -2*g - 980 + z = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6404.9999994627 - -6405. Round r to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -511.5 and -2202.8.\nAnswer: 1126732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5365 (base 13) to base 2.\nAnswer: -10110100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 167*17621.\nAnswer: 2942707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*z - 374 = -18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 18 = -2*i + 22, -u - i = -1. Solve z + u*z = 12, 2*s = -z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 10, i: 4}. Give prob of picking 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6726301*t**3 - 12*t**2 - 1015158449 wrt t?\nAnswer: -20178903*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from zllkllzlzlzk?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 265, 2, 58, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 482099?\nAnswer: 482099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -2 + (-87 - -86)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 2*q. Suppose q = -a + 5 - 3. Suppose -b + 4*v = -0*b + 11, a*b - 4*v = -6. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12 - -424?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uth when three letters picked without replacement from {j: 5, h: 7, t: 3, u: 2}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*w + 3*w - 3*w)*(-2*w + 0*w + w) - w + w + w**2 + (-1 - w + 1)*(181 - 181 + 1059*w))*(4*w - 2*w - w).\nAnswer: -1056*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(75) + -2)**2 + -2*sqrt(9)\/sqrt(3)*-3)*-5.\nAnswer: -395 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**4\/17 - 4011018*j**3\/17 + 2011035180044*j**2\/17 - 2011023147000*j\/17 - 4022062338064\/17 = 0. What is j?\nAnswer: -1, 2, 1002754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + 7*m**2 - 9*m + 15. Let c be t(6). Let i be ((-20)\/(-8))\/(c\/(-6)). Solve -4*j + i*p - 3 = 0, -3*p = 2 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3015871 - 0.4\nAnswer: 3015870.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 2514.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 130 = 3*v, 3*j - j - 140 = -2*v. Let l = -341\/5 + j. Let r = -523 + 523.3. Which is the closest to l?  (a) r  (b) -0.4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*o - 3*f, -2*o + f = -f - 12. Solve -x + 2*w = 2, 2 + 6 = o*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a**4 + 61348*a**3 - 2204484*a**2 + 17440252*a + 44189288 = 0. Calculate a.\nAnswer: -2, 19, 15301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 3*m**2 + 2. Let w be (2\/(-12))\/((-6)\/108). Let c be l(w). Let h be 1 + 1 + 0 + 0. Solve -2*k - h = 0, -5*k - 1 = 2*z + c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 26*h + 17. Calculate g(-23).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 52515 and 472635.\nAnswer: 472635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -922\/7 + 132. Which is the biggest value?  (a) 0.3  (b) i  (c) 0  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.094 and -3.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, a: 4}. Give prob of sequence kak.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 7 = 4*c - 61, t = 3*c - 31. Let l(x) be the second derivative of x**4\/12 - x**3\/2 - 2*x**2 - x. Let a be l(-3). Solve 5*u = c + a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 9, o: 11}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/5364 and -45\/869474?\nAnswer: 2331929268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -23*y - 127. Calculate the remainder when 50 is divided by q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -25, -38?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.04+-44751\nAnswer: -44751.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 94986631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/6*9\/322194. Let h = v - -21694162\/6282783. Let m = -42\/13 + h. What is the third biggest value in m, 4, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -48.00904 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.39999984 - 0.4. Round s to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.04 - -0.44. Let g = -1.4 + t. Let l = 0 + -1. Is g at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/3))**(-2\/149)*((r**5\/r)\/r)\/r*r*(r*r**(-1)*r*r)\/r*r*r\/r**(5\/6)*r**(-4\/7)\/r*r\/(r*r**(3\/2)*r)*r*r*(r*r**(2\/5)\/r*r)\/r assuming r is positive.\nAnswer: r**(18251\/5215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 6, 4?\n\"Answer: -2*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 2*b + 12. Let u(d) = -10*d**2 - 12*d - 215. Give -6*r(i) - u(i).\nAnswer: 16*i**2 + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 979054080 to the nearest integer?\nAnswer: 31290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4114965 and 86961.\nAnswer: 2909280255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.167 + 0.166804. Round t to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-27))\/(110\/198)*5\/(-70)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*y**2 + 28*y**2 + 3*y**2 + 33*y**2 in the form h*y + x + c*y**2 and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 15*b**2 - 54*b - 13. Determine n(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119790 is divided by 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*g*h**3 - 3*g*h**2 - 4*g*h + h**3 - 10*h**2 wrt h.\nAnswer: 114*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.48 take away -0.3862?\nAnswer: 0.8662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(0 + sqrt(12))*1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1123\/2 + -560. Factor 0 + y*o - 9\/4*o**2 + 3\/4*o**4 + 0*o**3.\nAnswer: 3*o*(o - 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 204, 411, 618, 825, 1032?\n\"Answer: 207*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 4:04 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 15 = 2*m. Let v = 694 + -342. Suppose k + m*k = v. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 71 + -76. Let c = -53 + 52.7. Put 4, q, c, -3 in decreasing order.\nAnswer: 4, c, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -759129 by 13.\nAnswer: -759129\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 7*k = -20. Let t be 15\/6 + k\/8. Suppose -t*s - 5*n - 65 = -8*s, 0 = -5*s - 5*n + 95. Calculate the highest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45761 - ((-5750)\/23)\/(-10)?\nAnswer: 2, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 - 87 - 21*o**3 + 2*o - 2*o.\nAnswer: -21*o**3 + 2*o**2 - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3626?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 11 + 11 = 0. Let r(m) = -15*m**2 - 4*m - 2. Let u(o) = -o - 6*o**2 - 3 + 2 - o - 2*o**2. Calculate h*u(f) + 6*r(f).\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 683022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 10*d**2 + 16*d + 26. Let g(y) = -7*y**2 - 10*y - 18. Let c(j) = 7*g(j) + 5*o(j). Calculate c(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -126260*y**4 + 27214?\nAnswer: -505040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000110001111010010 - 110?\nAnswer: -10000110001111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3073215 divided by 5\nAnswer: -614643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -97 divided by -14.\nAnswer: 97\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6a6 + -72286?\nAnswer: -72970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 16, -53, 0 in descending order.\nAnswer: 16, 1, 0, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 2:13 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -21) + (1 - 17) + -143 + 187?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.048  (b) -0.09  (c) -3\/341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -531774 (base 10) to base 16.\nAnswer: -81d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 26*z - 163. Let g be q(6). Let j be (1 - 1) + 4 - 1. Let n = j + g. What is the closest to 2\/3 in 2\/19, -5, n?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 3733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -1914.\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2)*t*t\/t**(-1))\/(t*t\/(t\/(t*t**(-5)\/t))*t**(-6))*(t**(-1))**(2\/15)*t**5\/(t\/(t**(-4\/7)*t)) assuming t is positive.\nAnswer: t**(1606\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, -54, -68, -78, -78, -62, -24, 42?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 10*a**2 + 15*a + 32. Let l(o) = 8*o**3 - o + 1. Let j be l(1). What is the remainder when 59 is divided by p(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -276\/55 - -53\/11. Let m = -0.118 - -5.018. Let j = -5 + m. What is the closest to j in a, 2, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbobbbb.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -19, -10, 3, -1, 109, 35 in decreasing order.\nAnswer: 109, 35, 3, 2, -1, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 503*k + 1572. Calculate g(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70785 and 12705?\nAnswer: 495495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 924, 1\/8, -5, -4?\nAnswer: 924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/14 + 0 + 10664\/602?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1325 at most as big as -1325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 5*b - 180. Suppose 9*u - 6*u = b. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) - sqrt(112)*-1 - sqrt(28) - (sqrt(28) - (sqrt(2800) + 2*sqrt(2800) + sqrt(2800))))\/((sqrt(4) - 5*sqrt(28)\/sqrt(7) - sqrt(4))*6))**2.\nAnswer: 11767\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 42 = 3*t. Solve 2*x = t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (122 - 2 - 39)*(2*s - 2*s - s**3) as q*s + z*s**2 + t*s**3 + b and give t.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 3*g**2 + 2*g + 1. Let i be y(-1). Let t = 518 - 244. Let a = 273.8 - t. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {y: 4, z: 4, j: 4, w: 1, a: 3, f: 4}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1176866.65 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93233*n**2 + 93131*n**2 - 185795*n**2.\nAnswer: 569*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99238473?\nAnswer: 3, 3675499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.8?  (a) -0.013  (b) -2614  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -80 - -84. Let c(l) = -498*l + 493*l - 4 - l**2 + d + 3. Calculate c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2033961\/11 < 184906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 677456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -32155040 divided by 5\nAnswer: -6431008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 875800 rounded to the nearest 10000?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42.93 - -44. Let j = z + -19.32. Let q = 20 + j. Round q to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(5))*-5 + sqrt(5) + sqrt(20) + 4 + 5.\nAnswer: -2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118183819.\nAnswer: 13, 19, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -81316 - -199359. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z*z**(3\/5)\/z)\/z)\/z)\/z)\/(z*z**(-4\/11)))\/((z\/(z**(-1\/6)*z))\/z*z**(-2\/5)) assuming z is positive.\nAnswer: z**(-119\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/10 - (-5 + -5 + 7). Sort v, -1, -0.9 in increasing order.\nAnswer: -1, -0.9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 18*a**2 - 15*a + 11. Let j be l(6). Suppose -2*k + 13 = -j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 4*z + 8. Let g(q) = 2*q**2 + 6*q - 12. Let c(n) = 6*a(n) + 4*g(n). Let i(j) = -2384*j**2. What is i(c(x))?\nAnswer: -9536*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -8*k - 24. Let j be (-2)\/(-6) + (-34)\/k. Suppose 9*d = j*d + 18. Solve d*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6223 + 62337\/10. What is the common denominator of -33\/7 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5236179 divided by -71?\nAnswer: 73749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pbbbt. What is prob of sequence bt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -627051502 or -627051506?\nAnswer: -627051502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.0623187 millilitres?\nAnswer: 0.0000623187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 - -2490854768\nAnswer: 2490854772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 318441 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 1988?\nAnswer: 5\/994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {x: 1, u: 8, q: 1, l: 1, p: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -1003311?\nAnswer: -1003322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-52)\/12 - (-1)\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*a**3*f**3*q - 2*a**3*f*q + 5*a**2*f*q + 2*a**2*q + 136416*a*f**3*q - 1587*f**2 wrt f?\nAnswer: 18*a**3*q + 818496*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102107574.\nAnswer: 2, 3, 53, 35677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 267655 - 6575 = -3*u, -u = -3*y + 205679. Suppose -1067*b = -1064*b - y. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - 9 - (11 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1318, -1339, -1378, -1441, -1534, -1663?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - 2. Let i be (n\/(-4) - -1) + -2. Let q = -29.9 + 30. What is the smallest value in 2\/15, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95 + -49. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -68 + -6?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-10)*-35)\/(280\/(-70))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p**3 + 3*p**2 - 4758*p - 14268. What is g(-3)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*q = 148*q + 84. Suppose -2*n + 9 - 1 = 0. Let j(a) = 2 + n*a - a**2 - 2*a + 0*a - a**3. Give j(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3345 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/7521 and -109\/276.\nAnswer: 30084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -168 + 224. Which is smaller: 58 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2975, 3, -5, -6, 1 in descending order.\nAnswer: 3, 1, -5, -6, -2975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*r + 36, 0*r + 5*r = -5*o + 70. Let g = r - 5. Suppose 0 = 3*a - 29 + g. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*w - 19, 0 = -3*w + 4*w + 2*o + 9. Let g = w - 1. Suppose 0 = -g*x - x + p + 13, -5*p = x + 5. What is the lowest common multiple of 22 and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34423\/20 + 7419\/4. Let f = v + -134. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 166\/8 - (21 - (-1617)\/(-84))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1167733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 348173270 to the power of 1\/3, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k**(10\/3)*k*k)\/(k*k*k**(2\/5)\/k)*k**(5\/4)*((k**(3\/7)\/k)\/k*k)\/k)**(-1\/47))**(-44) assuming k is positive.\nAnswer: k**(25927\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.587 * -95.\nAnswer: -150.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 4*a + 4. Let h be k(3). Solve -v - 3*g - 15 + h = 0, 4*g + 18 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -237, 1333, 5593, 13887, 27559?\nAnswer: 47953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2368476 and 1980.\nAnswer: 11842380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*h + 4. Suppose 318 = t + 3*t + 2*q, -169 = -h*t - 3*q. Let v be 9 - (-1)\/2*-4. What is the highest common divisor of t and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 x, and 1 i when three letters picked without replacement from ixrrabrrraxrrrdrbr.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 34. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -175*k**2 + 89*k**2 + 10*k - 109 + 88*k**2. Is r(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 10}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**3 - 23*h**2 + 11*h + 26. Determine x(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 11886*m + 11889*m + 81 = -111, 2*m = 0 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315 is divided by 132?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92 + -83.3. Let s = -4.5 + k. Let y = 7.2 - s. What is the nearest to y in 1, 2\/7, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -37*i**3 + 2*i**2 - 5*i - 8. Suppose -6*d + 16 = 28. What is the units digit of l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*s**2 + 31*s**2 - 12*s**2 + 5*s**6 wrt s?\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 1. Let k = 3.9891 - -0.0109. Which is the closest to 0.1?  (a) s  (b) -4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**2 + 2*o**2 - 2*o**2)*(70 - 70 - 18*o**3 + (2*o**3 - 3*o**3 + 3*o**3)*(5 - 1 - 1)) - 32*o**4 - o - 25*o + 34*o**4 - o**5.\nAnswer: -25*o**5 + 2*o**4 - 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49*n**2 - 1729*n + 1729*n)*(0*n + n + 2*n)*(2*n + n - 5*n).\nAnswer: -294*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 204 a factor of 1041087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 2*d - 5*m + 216, -2*d + 3*m = -125. Suppose 3*a - 5*a + d = f, -5*a - 5*f = -160. Calculate the remainder when a is divided by (-4)\/3*(-54)\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -335536713 - 0?\nAnswer: -335536713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 186459 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*n = -f + 156, 289*f + 79 = -5*n + 293*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y - 32 = -4*y. Suppose -y*m + 456 = 184. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7608.563kg to micrograms.\nAnswer: 7608563000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -340 or -343?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518 is divided by 118?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 3. Suppose 8 = 2*d - 6. Let f(p) = p + 2. What is d*f(m) - 4*b(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 8\/5) + 44\/(-10). Let u(n) = -8*n**3 - 5*n**2 + 5. Let f(o) = 13*o**3 - 7 + o**3 - 2*o**3 + 7*o**2. Calculate w*f(q) - 7*u(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**2 - 23*z. Let d(s) = -s**2 + 11*s. Let k(u) = -13*d(u) - 6*v(u). What is the second derivative of k(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7 - 1)*1\/2. Let p be c - 2 - (-2)\/2. Let a = -357 + 359. Solve 2*u + p + a = 2*g, -4*g + 2*u = -14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2*p**2 - 4*p - 10*p**2 + 4*p.\nAnswer: -8*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/5820 and 59\/60?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 24\/(-21) - 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 593492953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 77188002 minus -0.1?\nAnswer: 77188002.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -1.041\nAnswer: -4.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmhmhma. What is prob of sequence am?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 41 + 17 = 0. Find the second derivative of 65 + c*y - 65 - 8*y**2 wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*i + 54*i = 0. Let s(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/6 + 23*b**2\/2 - 2*b. What is s(i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6754 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -715\/24 + 33\/8. Let q = j - -26. Which is smaller: q or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 5, -24, 67 in descending order.\nAnswer: 67, 15, 5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1781.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 9, n: 7, y: 3}. Give prob of sequence ynn.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 6 - 4)*(3*y + 4*y - 6*y) - 3*y + 0*y + 0*y)*(-4 - 2 + 5) + 3*y + y - 3*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 8. Let c be -2*(-1 + i\/4). Suppose 2*f + c*b + 23 = 0, 8*b = -4*f + 4*b - 28. Sort -3, 5, f in increasing order.\nAnswer: f, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i + 2*i - 4*i + 3*i. Let z(j) = -j**2. What is z(x(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/5)*j*j**(1\/2))\/((j*j**(4\/7))\/(j*j*j**(1\/7)\/j*j)))\/(j**(2\/11)*j\/j**(-3\/2)*j)**(-6) assuming j is positive.\nAnswer: j**(18297\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 177 + -125. Suppose 4*r + 5*x = t, 4*x - 31 + 83 = 4*r. What is the remainder when 38 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.5861945 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 1, b: 2, z: 4, y: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4248522956 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 - -9)\/((-4)\/(-8)). Suppose -8 = i*x - 56. What is the least common multiple of 36 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 3*h + 47 = 0, -h = 2*w - 120 - 130 + 279 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30 - 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 4946*f - 19765. Let q be (-735)\/9 + (-1)\/3. Let j = 156 + q. Calculate the remainder when j is divided by u(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -60 + (-135 - -169).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100011 + -1?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-32)\/(-14) + (-183 - 15228\/(-84))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -7*c + 1. Let f be o(-1). Let d = -1736 - -1163. Let g = -573 - d. Solve -f = -4*k - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (87450\/(-16))\/3 + 1. Let z = u + 1829. What is the common denominator of z and (6\/(-15))\/((-120)\/(-4700))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 8) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 9:20 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -789949*f**3 - 6*f**2 + 67762*f?\nAnswer: -4739694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3121 = -27*x + 2603. Calculate the remainder when x is divided by 206.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + 22 + -22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 61 + -61.06. Let h = m - -5.06. Which is the fourth smallest value?  (a) 0.4  (b) -8\/7  (c) -2\/7  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(9\/2)\/(s**9*s))\/(s**(-34))**41 assuming s is positive.\nAnswer: s**(2777\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - a**2 - 2*a - 2. Let t(n) = 3*n**3 - 3*n**2 - 3*n + 1. Let z(y) = y**3 - y**2 - y. Let x(s) = t(s) - 4*z(s). Calculate 2*g(m) + 4*x(m).\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2.5 times 36897\nAnswer: -92242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189500169.\nAnswer: 3, 401, 157523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/8 - (-144)\/(-176)) + (-60)\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyg when four letters picked without replacement from gggyttyyygyyygggyt?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/4*(7 + -1). Let g = -1 + v. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjiiipjjpjjijppjpppj. What is prob of sequence ij?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 3*y**3 + y**2 + 9*y + 2*y**3 + 4*y**2. Let c(x) be the first derivative of x**4 + 4*x**3\/3 + 4*x**2 + 25. Determine -7*c(s) + 6*t(s).\nAnswer: 2*s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence de when two letters picked without replacement from {n: 1, t: 1, e: 3, d: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -8*o + 297. Let g = o - 38. Put -3, g, 2 in decreasing order.\nAnswer: 2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1116448624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -40, -440, -1548, -3718, -7304, -12660, -20140?\n\"Answer: -59*y**3 + 13*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 - 9*t**2 + 8*t - 7. What is x(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 1 + (-1 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -804036 (base 9) in base 4?\nAnswer: -1310003031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 - -36. Let x(a) = -2*a + 3 + 95*a**o - 2 - 99*a**2. What is x(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/3, 1, 0.3, 6\/23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 + 2*l**2 - 2*l. Let t be b(-2). Let o be (-2)\/2 + (t - -4). What is the units digit of (-10)\/((-2)\/(o\/(-1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58913682.\nAnswer: 2, 3, 9818947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgspa. What is prob of sequence ps?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -12. Let s = v + 4.00003. What is s rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 2 + 1)*(-2 + 3 - 2) + (3 + 0 - 2)*(-34 - 44 + 30))*(3 - 4 - 4)*(h - h**2 - h) to v + x*h**2 + k*h and give x.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 1 - 10 = -d, -3*d + 15 = -2*j. Suppose -2*x - i - 5 = -127, 0 = d*x + 3*i - 177. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x - 3. Let g(b) = -4*b + 2. Let i(a) = -4*g(a) - 5*t(a). Let v(y) = -4*y + 3 + 5 + 5*y. Calculate -6*i(c) + 5*v(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3461*o**2 - 6826814 + 6826814.\nAnswer: -3461*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1779 + -1740. Suppose -z + 5 + 31 = 0. Let 8 + z - 3*y**4 - 9*y + 15 - p*y**2 + 21*y**3 - 5 = 0. What is y?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*-1*(-2)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 1:06 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2, 5*y = 5*m. Let f(a) = -2*a**3. Let q be f(m). Let n(v) = -v - 8. Let o be n(-7). Sort o, -5, q in descending order.\nAnswer: q, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**5\/4 + 81*s**4\/2 + 777*s**3\/4 - 3933*s**2 + 9855*s - 6156 = 0?\nAnswer: -12, 1, 2, 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 50 = 5*v, 40 = 5*v - 3*x + 6*x. Let w = 55 - 55. Suppose w = 2*j - 3*d + 1, -3*d - 3 + 12 = 0. Solve f = -v*u - j - 6, f = u + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of 101*i**8\/336 - 415*i**4\/8 - 684*i**2. What is the second derivative of t(l) wrt l?\nAnswer: 2020*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56946 + -3074947\/54. Calculate the common denominator of f and 2\/(-1) - 289\/(-90).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 325, 357, 1 in ascending order.\nAnswer: 1, 325, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3030 (base 4) in base 13?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/1*(-5)\/(-10). Suppose -h*b = -2*p + 99 + 11, -5*b + 3*p = 137. What is the common denominator of -52\/5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/1401?  (a) -1\/20  (b) -0.3  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51 + -47. Let w = 11 - 9.7. Let p = -0.7 - w. Which is the closest to 0.1?  (a) p  (b) l  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1591874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 26 = 5*x, -x - 3*g - 10 = -2*x. Suppose 5845 = 11*r - x*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 7*b**3\/2 - 27*b**2\/2 - 27*b. What is the first derivative of o(x) wrt x?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 840901*m - 420269*m - 420635*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -0.5  (c) -105  (d) -1  (e) 1\/132  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - 6) + (3 - (21 + 4 + -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 595 is divided by 292.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g + 675. Let h(a) = 4*a + 662. What is -4*h(s) + 5*k(s)?\nAnswer: -s + 727","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 7448, 24569, 51368, 87845?\n\"Answer: 4839*d**2 + 2604*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52 + -51. Let p(m) be the first derivative of 2*m - q + 0*m**3 + 2\/5*m**5 + 0*m**4 + 0*m**2. Differentiate p(b) with respect to b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/5 + 441*h\/5 + 15678\/5.\nAnswer: (h + 39)*(h + 402)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 14  (b) -0.3  (c) -2\/11  (d) -4\/5  (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 291746 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**3\/3 - 3*k**2 + 4*k + 3. Determine p(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/(-3))\/(16\/((-3264)\/(-238))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 16*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6, 19, 40, 69, 106?\n\"Answer: 4*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 - -36. Suppose d*a + 129 + 107 = -4*q, 0 = -2*a. Let b = -14 - q. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -12. Let x(b) be the first derivative of b**3\/3 + 3*b**2 + 2*b - 6. Calculate x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30 - (-24 - -19)) + (-97 - -70).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, w: 1, g: 1, d: 1}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 1. Let u = 3 - h. Let q = 2.97 - u. What is q rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -3, 25, -13.2, -5, -0.5 in descending order.\nAnswer: 25, 2, 1, -0.5, -3, -5, -13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 8885491\nAnswer: 3\/8885491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -243.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*c**3 + 33*c**3 - 347*c**3)*(-2*c + 3*c + 0*c + (-2 + 1 - 1)*(-2*c + 2*c - 2*c) - 2*c - c + c).\nAnswer: -885*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-10136)\/(-756) + -14)\/((-4)\/6). Suppose 0 + b*q**2 + 0*q**3 + 2\/9*q**5 - 2\/3*q**4 + 0*q = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 77*g + 248. What is the thousands digit of d(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 936 is divided by 135?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/10)\/(-1)*(-105)\/14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -588, -587, -586, -585, -584, -583?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 101?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/59 in -3, -2\/11, 1\/12, -10?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*b**3*g**4 - 2*b**3*g - 3*b**3 + 326603*b*g**4 + 1825*b - 15 wrt g?\nAnswer: 72*b**3*g**2 + 3919236*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 56 + 30617?\nAnswer: 30671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 1 - 5 + 6*d**2 - 2*d + 3 + d**2. What is the remainder when w(2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 15*h**2 - 109*h + 19. Is v(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -4*o + y - 10, -2*o - y - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1da2 - 8?\nAnswer: 1d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 1 = -13. Suppose -x - 9 = -5*b. Factor 0*j**b + 6\/7*j**4 - 2\/7*j**2 + 0*j - 4\/7*j**5 + 0.\nAnswer: -2*j**2*(j - 1)**2*(2*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -953 from 0.\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1 = -5. Let h be ((-1)\/g*0)\/2. Suppose -133*z + 3669 = 344. Solve h = -3*k + 2*m - z, -2*m = 5*k - 4*m + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**2\/4 + 1286*m + 3762463\/4 = 0. What is m?\nAnswer: -4261, -883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + v**2 + v + 9. Let d be c(4). Calculate the greatest common factor of d and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3942*j + 12 = -p + 3946*j, 18 = -3*p + 3*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -32, -38, -50, -68, -92?\n\"Answer: -3*t**2 + 3*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3248280658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*s**2 + 5*s**2 + 5*s - 5*s as z + c*s + y*s**2 and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 73\/5 - 4\/(-10). Let c be (1 + 9\/u)*509685. Suppose 5*h + 484504 = -c. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4, -n = -4*o - 0*o + 13. Suppose 2*a - 4*p - 60 = -2*a, o*a = 5*p + 49. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/73 <= -5723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4816, 9632, 14448, 19264, 24080?\n\"Answer: 4816*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - 16\/3)*3. Let x = g + 20. Is 29\/(-4)*(-120)\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-43)\/(-18) - (-1)\/(-3) and 123\/(-48) - (1 + -1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -280\/9 - 32\/9. Let g = s + 35. Let n = -169 + 844\/5. What is the closest to 2 in n, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 13*i + 6*i**2 + 19 + 14*i - 25*i + i**3. Let b be x(-6). Suppose -4*v - 2*q = -110, -3*v + b*v - 115 = -q. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -0.01  (c) -649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/3, 0.5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.034 times -0.0486\nAnswer: -0.0016524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -41 and -3.513119566763.\nAnswer: -44.513119566763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - 1.5. Let s = 5029 - 5023.554. Let w = s + y. Round w to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of y**8\/560 + 7*y**5\/120 + y**4\/4 - 6*y. Let l(c) be the third derivative of b(c). What is the derivative of l(z) wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of -1094*a**5\/5 - a**4\/4 - 4*a**3\/3 + 92*a - 1914. What is the third derivative of x(f) wrt f?\nAnswer: -26256*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cooftzb. Give prob of sequence bft.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147712 is divided by 83.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2718)\/11)\/(-151) + 1592\/(-946)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4427920332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -240030 + 1439957\/6. Suppose -69 - 75 = 4*z. Do m and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - 121. Let m = b - -147.8. What is m rounded to zero decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 9:54 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113 = 10*u + 103 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208853664 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23537?\nAnswer: 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -495047712724259.\nAnswer: -495047712724264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 732789633.\nAnswer: 3, 244263211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(432)*-3 + sqrt(432))\/(sqrt(9) - sqrt(9)*2*-5))**2*-1.\nAnswer: -192\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(200) + sqrt(2) + sqrt(2) + sqrt(294)\/sqrt(3) - (-4*(sqrt(288))**2 + -2).\nAnswer: 19*sqrt(2) + 1154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 5*t - 22. Let l(s) = -11*s + 45. Suppose 8*y - 15*y - 24 = y. Determine y*l(g) - 7*f(g).\nAnswer: -2*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12044 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - o**3 + 0)*(-o + 2*o - 3*o) + (-o**2 + 0*o**2 + 2*o**2)*(o**2 + o**2 + 0*o**2) + 3*o**4 - 3*o**4 + 2*o**4 - 3*o**4 + 79833*o**2 - 79833*o**2 - 55.\nAnswer: 3*o**4 - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -n - 28. Let d = 42 + n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 2:40 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1253 a factor of 382493539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m + 4. Let g be s(0). Let y = 122 + -84. Suppose v = g*b + y, -v + b + 0*b = -35. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000000659 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 3770, -4 in decreasing order.\nAnswer: 3770, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 22*c**2 + 25*c + 84. What is t(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 227 - 227.00194. What is k rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2696573480?\nAnswer: 2, 5, 19, 1229, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s = 11*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -5*u + 5*w, -w = u + 4*w + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6619\/3 - 2207. What is the nearest to -16 in 2\/7, -0.4, 14, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001297481 rounded to five decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2424 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1228 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3199*a + 16005. Calculate d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/24)\/(2\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -95 + 146*o**3 - 344*o**3 - o + 198*o**3 + 3*o**4 as j*o + t*o**4 + d + a*o**3 + i*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 256*k + 9. Let i(j) = 767*j + 31. What is 7*b(s) - 2*i(s)?\nAnswer: 258*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -10*d. Let h be r(1). Let w = h - -52. Let l = w + -28. Calculate the remainder when 41 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 2*b**2 + 8*b + 30. Calculate s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-21) - 4\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w + 12, 11*b + 2*w = 15*b - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 - -32.2. Let x = -117 + 146. What is the third biggest value in -1, m, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/(-6)*2)\/((-9)\/(-24)). Let v be (h\/12)\/((-3)\/297). Let p = v + 68. Solve p*u = -5*a + 3 + 6, -2*u = -3*a + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1320988978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {n: 3, d: 1, o: 1, x: 5, h: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9 and 6.1.\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/1614 and ((-42)\/15 + 3)\/((-780)\/(-325)).\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - 0. Let b be (2 - 1)\/(2\/4). Suppose 0 = -5*z + b + 3. Put d, -5, z in descending order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*u + 3*t, 0 = 5*u - 4*t - 49 - 2. What is the remainder when 20 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1627209.0556 + -1626935. Let l = y + -274. What is l rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = -792 - 2728. Let v = t - -443. Sort 1, 5, v, -7 in descending order.\nAnswer: 5, v, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 97 + 38*q - 97 to the form z*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((12\/(-9))\/(-4)). Which is greater: -8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 9) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 16*p**2 - 78*p + 3. Calculate w(-19).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 - 9*s**2 + 2*s + 9. What is a(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (-12 + (-1 + -11 - -9))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -15. Let c(z) = -z**2 + 14*z - 8. Let h be c(9). Suppose 5*o = -3*u - h, -3*o - 2*u - 23 + 0 = 0. Is o > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35.4 - -35.7294. Let h = s + 0.0596. Round h to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-11 - 2 - 3)) + -9 - 34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*s**6 + 2*s**5 + 2168*s**3 - 54*s**2 + 796*s + 1 wrt s?\nAnswer: -3120*s**3 + 120*s**2 + 13008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 - -46. Solve 2*i - n = 2*k - 0*i, k + 5*i - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k + 3*k - 2*k**2 + 3*k**2 + 0*k.\nAnswer: k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 231 and 2485644.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3306?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 171877 plus -0.1?\nAnswer: 171876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 1047 - 132. Suppose 0 = -2*v + a - 133. Suppose -11*x = -6*x - v. Solve 4 + 6 = -x*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, -1, -38, -113, -238, -425, -686?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (108\/(-702))\/(2\/(-78))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (103\/2)\/((-5)\/(-20) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 7:16 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of u**3\/3 - u**2\/2 + 3*u. Let m be d(1). What is the common denominator of m\/(-5) - 69\/(-60) and 65\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 939587.8 days?\nAnswer: 81180385920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -23346 * -0.2\nAnswer: 4669.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/7  (b) 1.27  (c) 0.172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = h + 4*q, q - 1 - 2 = -3*h. Let t(s) = s**3 - 7*s**2 - s + 7. Let m be t(7). Which is the nearest to m?  (a) 5\/3  (b) 2\/11  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 82*a**2. Let v be y(1). Suppose -v = -4*k + 46. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 1:44 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5331*w**4 + 35*w**3*x**2 - 32*w**2*x - 12141*x**2 wrt w?\nAnswer: 127944*w + 210*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2208*t**6 - 19663*t**2 - 296 - 19658*t**2 + 39322*t**2 wrt t.\nAnswer: 264960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.85 + 8.73. Let b = -0.42 - d. Let o = b + 12. What is the nearest to o in 3\/5, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of o**9\/60480 - o**8\/5040 + o**7\/1008 - o**6\/180 - o**5\/10 - 6*o**2. Let u(x) be the third derivative of y(x). What is u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 85*f**2 + 4 - 28*f - 105*f**2 - 4 - 2 wrt f?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 15*c**4 + 2364*c**3 + 620157*c**2 + 53951829*c - 54574338. Let y(m) = -4*m**4 - m**2 - 3*m - 1. Let g(l) = w(l) + 3*y(l). Find f such that g(f) = 0.\nAnswer: -263, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of 9\/8*y + 15\/16*y**2 + 21 + 1\/8*y**3 - 3\/32*y**4. Factor u(t).\nAnswer: -3*(t - 3)*(t + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + f**2 + 2 + (3 + 1 - 3)*(-13*f**2 - 50*f**2 + 17*f**2) - f**2 + f + f**2 + f**2.\nAnswer: -44*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 47 + -43 - 68.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = n - 0*n. What are the prime factors of 34\/5 - 1\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -993 + 989. Let z = -255 + 253. What is the closest to 0.6 in 1\/5, g, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/8?  (a) -1\/3  (b) 2  (c) 2\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 445 - 259. Calculate the highest common factor of d and 1798.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3779 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 3*u**2 - 6*u - 3. Determine z(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (17 + (-1380)\/80)\/((-2)\/56). Solve -r*c = 22*c + 145 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163558.\nAnswer: 2, 53, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 7:08 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/9, -5, 3, -2533, -1\/7, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2*v = 2*d + 7, 0 = -3*d - 2*v + 9. Let k(q) = -6*q**3 + 1. Let i be k(d). Which is the second smallest value?  (a) 2  (b) i  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nininnin. What is prob of picking 2 n and 2 i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 + -113?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*u + 13 + 23 + 16 - 16, 0 = -7*r + 3*u + 247 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 378471.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -3265.5 to the nearest 10.\nAnswer: -3270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*r - 5. Suppose r*d - 497 - 181 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + 3*o**2 - 4*o + 2. Let x be u(0). Let j(y) be the third derivative of 0 - 2*y**x + 0*y**3 + 0*y + 1\/24*y**4. Let r(d) = -6*d**2. Give j(r(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(171) + -1.\nAnswer: -1 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1101 - -1491. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 25 = -4*m. Suppose 0 - m = -w. Suppose -4*t - 2*u + 4*u + 2 = 0, 3*t = -w*u - 31. Which is the closest to t?  (a) 4\/5  (b) -2\/23  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**37\/s**(-38))\/(s**(-44)\/((s*s*s**22*s*s)\/s)) assuming s is positive.\nAnswer: s**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 19*r**3 - 13 - 12.\nAnswer: -19*r**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + (21 + 2 + 4 - -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 484654067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {j: 2, q: 1, c: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 135506736 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4*q = -2, 23 = 5*v - 3*q. Let u be v\/3*(-966)\/4. Let g = u - -995. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 243?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1660, 2\/3, -51128 in increasing order.\nAnswer: -51128, -1660, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -1 - ((-861)\/(-12) - 132\/48)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-3 - -4) - 0. Suppose a*u = -2*u. Suppose 780 = -u*x + 6*x. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 31026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -336941\/267 + 933874213\/739056. Let x be (4\/1038)\/(6\/54). Let t = c + x. Find the common denominator of 51\/10 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*y**2 - 28*y + 28*y + 4*y**2 - 4*y**2 - y**2 + (-y**2 + y - y)*(-1 - 2 + 1) - 2*y + 2*y + 2*y**2 - y**2 + 59*y - 59*y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 529351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 - 20. Suppose 4*o = -60 + m. Is 17 a factor of (-140 + -1)*o\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 189 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w - 2*w + 24. Suppose 3 = -v + 2*y, -2*v + 2*y - 6 = -y. Sort w, 0, v, -14 in descending order.\nAnswer: w, 0, v, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176035*h**3 + 555878*h**3 + 2 - 2 + 707992*h**3.\nAnswer: 1087835*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32056053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7128424667832 - -5.\nAnswer: 7128424667837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(5\/7)*n)**8)**(-8\/7))**(-42) assuming n is positive.\nAnswer: n**(4608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 591*j + 24. Let z(s) = 261813*s + 10638. Calculate -1773*x(c) + 4*z(c).\nAnswer: -591*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.4882 + 0.3948. Round d to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -5983 and -0.34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 6*k + 2. Suppose 14 = 5*t - 11. Suppose 4*m - 28 = 4*b - 0*b, -t*m = -3*b - 31. Let q be p(m). Solve -s = q - 2, i + s = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = 4*r + 4. Let d be r*-2 + (2 - 0). Suppose 2*p - 17 = -4*i + 5, 4*i + 4*p - 32 = d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -374 + 2*h**2 - 4*h - 447 + 899 to the form w*h + m + g*h**2 and give m.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*j - 9 + 53. What is the derivative of -29*r**j - 110 + 21*r**2 - 21*r**4 - 58 + 45*r**4 wrt r?\nAnswer: -20*r**3 + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - 1 - (-14426999)\/(-1)) + 38\/(-19). What is h rounded to the nearest one hundred thousand?\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -217 - -346. Calculate the remainder when 147 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 16*j**2 + 18*j + 18. Let p be s(17). Suppose 0 = -n - 30 + p. Calculate the remainder when 5 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 11*b - 29. Let v be 3 + (0\/12)\/(-1 + 2). Let p be g(v). What is the derivative of -13*r**p - 7 + 6*r**4 - 23*r**4 + 19 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 4*r**3 - 115*r**2 - 54*r + 835. Calculate u(29).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -48975\/14 + 3501. What is the common denominator of (-105 - 4)*(-1)\/12 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23170299 less than 23170290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 3*v + 22 - 11, -1 = -c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6581*z**3 - 15654*z**2?\nAnswer: 39486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5265 - 2705 = 9*q + 2713 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 149.6543ml in litres?\nAnswer: 0.1496543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -5*d - 1 + 1. Let p(z) = 21*z**2 - 111*z**2 + 30*z**2 + 22*z**2 + 29*z**2. What is o(p(n))?\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 4*x**2 + 4*x + 4. Let l be q(-7). Let i = l + -81. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**4\/3 - 229*o**3\/3 + 2797*o**2 - 67099*o\/3 - 75718\/3 = 0.\nAnswer: -262, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -u**3 + 70445*u + 1418587 wrt u.\nAnswer: -3*u**2 + 70445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 - 6*w**2 - 6*w + 7. Let f = -215 - -210. Determine j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l**2. Let s(j) = -3*j**2 + j + 1. Let k(c) = -3*s(c) - 4*t(c). Let h be k(-2). Let n(u) = -u**3 - 8*u**2 + 2*u + 4. Is n(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, e: 1, s: 1, z: 1, v: 1}. Give prob of picking 1 z, 1 w, 1 v, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g - 3*g**2 - 3*g + (-3*g + 0*g + 2*g)*(-g - 3*g + 6*g) + (-5*g + 7*g + 9*g)*(-2*g + 6*g - 2*g) + (-2*g + 1 - 1)*(2*g + 2 - 2).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.56 - -4.4. Let z = r - -1.26. What is the third smallest value in 2, -5, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 3*z - 35. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/12 - (-11)\/4. Suppose 0 = b*o - 6 - 6. Suppose 0*u + o*u - 92 = 4*m, 4*u + 4*m - 60 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -219, -20, -1 in descending order.\nAnswer: 3, -1, -20, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3361*t - 9 = -3358*t + 3*w, 2*t = -w - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 775 = -2*l, 4*l = b + 2*b - 491. Suppose 2*s = s + b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 12) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 12*x + 24 = 8*x, -4 - 2 = -5*n + x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -q**3\/3 - 11*q**2\/2 - 12*q - 6. Let p be x(-9). Let o be (12\/(-9))\/((-4)\/p). Solve 3*s = 5*h + 14, -s = s + o*h + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6701 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = h + 26 - 6, -2*h = k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2512, 5022, 7528, 10030, 12528?\nAnswer: 15022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13546 and 3787670.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.06 + 10.94. Let q = 14 - k. Let o = 0.7 - -0.3. What is the nearest to o in 2, -4\/3, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 532 is divided by 254?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 3022 - 1012. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*n**3 + 4*n**3 - 20*n**3 - 4*n**2)*(3*n - 1 + 1).\nAnswer: -6*n**4 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 193780777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l. Let i(g) = -55*g - 5. What is i(z(u))?\nAnswer: 55*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/9  (b) -4  (c) 0.2  (d) -0.5  (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h. Let v(d) = 3*d + 101. Determine -2*p(r) + v(r).\nAnswer: -r + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**2 - 3. Let j = -7 + 1. Let r(o) = o**2 - 1. Let k be 3 - (3 + 8\/(-4)). Let n(g) = j*r(g) + k*m(g). Let u(x) = -33*x**2. What is u(n(h))?\nAnswer: -132*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3240 and 1368?\nAnswer: 61560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 174.8 times 0.3\nAnswer: 52.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 a factor of 406396927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 72 = -w. Calculate the greatest common factor of 24 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 100.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -24 (base 11) to base 7\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 5 = -2*q, 13*q - 17*q + 3*f - 17 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r + 13. Let y(w) = 5*w - 53 + 0*w + 2. Let u(t) = 9*c(t) + 2*y(t). Calculate u(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4*b**3 - 162*b**2 + 77*b - 260. Determine q(-41).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2229 + 1798. Which is bigger: -430 or v?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 + u**2 + 3*u**2 + 4719*u**3 - 4721*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*g = -4*g + 28130. Suppose 779 = f - g. List the prime factors of f.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11205\/(-996)*-26*2 is divided by 183.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -17967008.\nAnswer: -17967007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.141 + -6.891. Let p = -1.75 - m. Put p, -2\/5, 16 in descending order.\nAnswer: 16, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2 + 0 = -3*y, 6 = -j - 5*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-144)*10044\/(-18).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 44, 141, 302, 527, 816, 1169?\n\"Answer: 32*q**2 + q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-2)*(-2 - 0). Let g(s) = -1 - a*s - 1 + s + 3. Let o(x) = 6*x - 7. Give -5*g(z) - o(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -4*s**2 + 66*s + 10. Let f be w(13). Suppose -f*t + 80 = -184*t. Solve u + 5 = t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 20370757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10446022*q**6*y**2 + 8*q**2*y**2 + 15*q**2*y + 2*q**2 - 1575*q*y**2 - 4*q*y + y**2 wrt q?\nAnswer: -1253522640*q**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-3 + -4 + 15 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 55 - 71. Let a(w) be the third derivative of 0*w**3 + 0 + 0*w + 9*w**2 + 0*w**i - 1\/15*w**5. Let v(t) = 2*t**2. What is v(a(c))?\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1635450 is divided by 817708?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -9 and -363 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3861471, -3861463, -3861455, -3861447?\n\"Answer: 8*k - 3861479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4*g - 296 = 0, 3*g - 107 = -w - 41. Suppose -h + 6*d + 17 = 7*d, 0 = -3*h + 4*d + w. Calculate the smallest common multiple of 40 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13333*a + 2 - 2 - 13385*a.\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 7*z**2 + 4*z - 7. Let v be 1\/(4\/(-48)) - -4. Calculate the remainder when 7\/(-4)*7*v is divided by m(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 4*c - 7*c. Let b(y) be the third derivative of -y**5\/60 + 7*y**4\/24 - 5*y**3\/6 + 3*y**2 + 18*y. What is b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 7  (b) 35  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.045 take away 6.1124577?\nAnswer: -6.1574577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, x: 2, v: 9, h: 1}. What is prob of sequence rhvv?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 616 and 1341186.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 768, 1446, 2124, 2802, 3480, 4158?\n\"Answer: 678*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*y**3\/9 - 48*y**2 + 358*y\/9 + 20\/3 = 0. What is y?\nAnswer: -1\/7, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 9 + 1 = 0, 2*v + 2 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001935 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 31 = 4*n - 67, 5*n + 75 = 5*f. Solve -5*x - 6 + f = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 6*u = 8*u, u + 10 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -9566.8 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 4*h**2 - 12908*h - 38760 = 0.\nAnswer: -3, 3230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 7*r**2 - 7784. Let g(h) = 2*h. What is g(o(w))?\nAnswer: 14*w**2 - 15568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -s + z - 1, 0 = -2*s - z - 2. Let m = s - -4. Solve m*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-6)*(-9)\/6. Suppose 0*d = f*d - 40. Suppose 3*p + 2*p + d = 5*w, -4*w + 5*p = -15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/495 and -61\/1462890.\nAnswer: 4388670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**5\/20 + i**4\/6 - i**3\/2 + 2*i**2 + 2*i. Let l be q(-4). Let z be l\/(-6)*36\/16. Solve 0*t + z = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9 - -1)*((12 - 9) + 15). Let b = -137 - d. Solve z + b = 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -157, -186, -227, -286, -369, -482, -631?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/11, 5, 6\/11, -64953, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2571 + -12913\/5. Let m be (-58)\/15 - (-8)\/(-60). Find the common denominator of w and 95\/30 - m\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21549419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 122 + -122.3. Which is the closest to -1?  (a) y  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**5\/75 + 4*y**4\/15 - 32*y**3\/15 - 45*y**2. Factor t(z).\nAnswer: -4*(z - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -18*z + 11*z. Let g(k) = -9*k + 7. Let i(t) = 4*t - 3. Let x(d) = z*g(d) + 7*i(d). Let c(n) = n. Determine -3*c(o) + 4*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6756159?\nAnswer: 3, 29, 79, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f + 1. Let j(k) = -2*k - 3. Let n(c) = -3*j(c) - 5*l(c). List the prime factors of n(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(3*1)\/1. Let k be (-3)\/(-9)*(2 - -1). Let c be k\/(-5) - 18\/10. Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*x - 1854 - 27666. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 13.8 and -0.13?\nAnswer: 13.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(468) - sqrt(468))\/(sqrt(48)\/(sqrt(12) + -3*sqrt(12)))*-1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, q: 2}. Give prob of sequence qw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-371 + (-1 - 9))*3646\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 2333023?\nAnswer: 2333021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 8:03 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, -2\/3, 0.162191 in descending order.\nAnswer: 0.162191, -0.07, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2*k - 128 = 0, -92 = -4*f + 4*k + 48. Let x(v) = 5*v**2 - 167*v + 72. Let u be x(f). Let c(w) = w**2 - 6*w + 3. Determine c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of x**4\/12 - x**3\/6 - 41*x**2\/2 - 98*x. Give a(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12079521*r**4 - 15291236 with respect to r.\nAnswer: -48318084*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35161?\nAnswer: 7, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2. Let u(n) = -556*n**2. Determine u(q(p)).\nAnswer: -2224*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**6\/120 - 477*k**5\/20 - k**4\/12 - 3583*k**3\/6 - 1028*k**2. What is the derivative of u(h) wrt h?\nAnswer: 3*h**2 - 2862*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 8*i**2 - 8*i + 3. Calculate the remainder when q(6) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 + 0*k**2 + 0*k**2)*(30 + 5 - 3)*(-2*k + 0*k - 3*k).\nAnswer: 320*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -3\/4*a**5 + 0*a**2 + 0 + 0*a**4 + 4*a - 1\/3*a**3. Find the second derivative of y(n) wrt n.\nAnswer: -90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 173\/48547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, j: 2}. What is prob of picking 1 l and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71\/3 - -215\/9. What is the smallest value in w, -5, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1032110 (base 4) to base 15\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 6888?\nAnswer: -34440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 419126488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -52780000 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 30. Let t be (-4)\/(-18) - 8\/(-45). What is the second smallest value in t, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5407 and -0.5?\nAnswer: 2703.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.048 + -0.29?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 128*i - 134*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 10*n - 52. Suppose -15*z - 77 = -37 - 115. Give r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 50, 77, 124, 197, 302, 445?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -137*k**2 + 258 + 76*k**2 + 255*k + 58*k**2.\nAnswer: -3*(k - 86)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -490a0 (base 12) in base 13?\nAnswer: -35b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301729?\nAnswer: 53, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o + 1. Let w(b) = b - 44. Let n(u) = w(u) + 4*z(u). Let h = -53 + 31. What is the units digit of n(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 36*k - 56. Let o be n(28). Suppose 3*g = -8*c + 3*c + 174, -3*g + 3*c + 198 = 0. Calculate the greatest common factor of o and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 10) in base 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8657791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -11*z**6\/6 - 5*z**2 + 5. Find the second derivative of k(n) wrt n.\nAnswer: -220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7837 - -8240. What is the remainder when l is divided by 97?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 2)*(-11 + 6*g**2 + 11).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5396 and 4189.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1300754083 rounded to two dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -459381, -459380, -459379?\n\"Answer: l - 459382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, -45, -185, -425, -795, -1325, -2045?\nAnswer: -2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1666391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1553?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 51193 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3267982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 at least 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26?  (a) 2  (b) 1.256  (c) -26\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(19) + 4*sqrt(190)\/sqrt(10)).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90643187?\nAnswer: 3719, 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + k**2 - 4*k + 5*k)*(3 + 0 - 5)*(50*k**2 + 31 - 31).\nAnswer: -100*k**4 - 200*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-24) + 94\/24. Let y = 343.47 - 345. Let g = -0.47 + y. Which is the closest to g?  (a) -2  (b) i  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 143 - 14299\/100. Let t(c) be the second derivative of 1\/150*c**6 + 0 + 0*c**2 - 1\/60*c**4 + 3*c - 1\/30*c**3 + k*c**5. Solve t(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 29187 and -4917.945.\nAnswer: 24269.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1445?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 454 = -2*q - 460, 0*c + 4*c = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13007 + 21*d**2 - 12996 - d + d.\nAnswer: 21*d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -404*l**2 + 58*l**2 - 38*l**2 - 409*l**2.\nAnswer: -793*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**(2\/3)*n)\/n)\/n)\/n)\/(n**(2\/11)*n)*(n**(-6))**(-9) assuming n is positive.\nAnswer: n**(1699\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 43408*a*h**4 + 15027*a - 2 wrt h.\nAnswer: 173632*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -3*q**3\/5 + 1857*q**2\/5 + 98052*q\/5 + 96192\/5 = 0.\nAnswer: -48, -1, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4197 + -7695. Let b = 111915\/32 + k. Calculate the common denominator of -13\/6 and b.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -368, -364, -360, -356?\n\"Answer: 4*h - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -357 + -5?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of 1\/5*b**5 + 0 + 11*b + 0*b**3 - 11\/105*b**7 + 1\/8*b**4 + 3*b**2 - 1\/120*b**6. What is the third derivative of k(x) wrt x?\nAnswer: -528*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 25 - c4?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -1\/10*t**5 - 1\/8*t**4 + 0*t + 11*t**2 + 5\/3*t**3 + 0. Let v be u(-4). Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1069266092\/2015 - -530653. Let j = 1\/155 - y. Let l = 1177\/4 + -294. What is the closest to 1 in l, j, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -0.06  (b) -7  (c) -1\/4  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2639312, -2639531, -2639752, -2639975, -2640200, -2640427, -2640656?\nAnswer: -2640887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 12, -d + 4*d = u + 3. Suppose d*h - x - 111 = 0, -2*h - 5*x - 6 = -87. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8258 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aav when three letters picked without replacement from {t: 1, f: 1, a: 2, p: 1, o: 2, v: 7}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 3*m = 15*u - 18*u - 159, -5*u = -m + 61 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4582320667 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3725, 12101, 25125, 42797, 65117?\n\"Answer: 2324*w**2 + 1404*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1734 by 6.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - a**4 + 0)*(-54*a + 22*a + 20*a) - a**5 + a - a + (-a + 0*a + 2*a)*(2*a**4 - 2 + 2) + 2*a - 2*a + 2*a**5.\nAnswer: 15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 6 + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9876 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 62 = -2*m + q, -5*m - 110 = -4*q. Let h = 668.28 + -668.48. Which is the nearest to h?  (a) m  (b) 2  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1753177383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -120*n**2 + 90*n - 115. Calculate p(2).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rvrvgdpivvgr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4040 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 62678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 10:48 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 5*c - 6 - 2*c)*(165 - 23*c**2 - 165).\nAnswer: -46*c**3 + 138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 255588 by -2.\nAnswer: -127794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 10 = -2*b - b, -3*u + 8 = b. Suppose 4*m + b = -3, 5*m = -4*s + 34. Let d = 16 + -14. Calculate the least common multiple of s and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g + 11. Let a be h(6). List the prime factors of a*(-50 + 3 - -1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44*q**5 + 2430*q**4 + 3*q**3 + 3*q**2 + 644571.\nAnswer: -2640*q**2 + 58320*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 9, g: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-176)\/99)\/(12\/54)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14398 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(76) + sqrt(76))\/sqrt(4))**2 - sqrt(304)*-5)*5.\nAnswer: 95 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -14. Suppose -u*g + 520 = -4*l, -5*g + 495 = -g + l. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 7, -231\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-5*(0 + sqrt(320))*-4 - 5*(sqrt(320) + 0 + 4))**2 + 5) + -5.\nAnswer: -362030 + 24000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -29\/3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51415*y = 48948*y - 19736 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -556*s**2 + 16*s + 12. Give c(-1).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1545*p**2*y**2 - 5864*p**2 - 39*p*y**3 + 2*p wrt y.\nAnswer: 3090*p**2*y - 117*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -9*u + 4*u, -78841 = -3*a + 5*u. Let n = a - -3723. Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -168*v**3 - 64*v**2 - 64*v. Let o(n) be the third derivative of 2*n - 1\/20*n**5 + 0 + 31*n**2 - 1\/8*n**4 + 0*n**3 - 1\/15*n**6. Give 3*f(b) - 64*o(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 124062, 247177, 370300, 493431, 616570, 739717?\n\"Answer: 4*g**2 + 123103*g + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 9*v + 2. Let m be t(-9). Let n = m - -1. Suppose y + 5 = 5*s, 3*s + 85 = 2*y + n*y. What is the least common multiple of 8 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -3*w + 4. Let c(k) = -1 - k + 8*k + w. Let m(d) = 2*d. What is m(c(i))?\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25656.66 kilograms in micrograms?\nAnswer: 25656660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/2)\/((-5)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -10*i - 295. Give w(-26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + h + 1 + (-1 - 4 + 4)*(-3*h - 2*h + 4*h))*(32 - 25 - 94).\nAnswer: -174*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 54 (base 13) to base 15\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 96, 7, -3 in decreasing order.\nAnswer: 96, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*r**3 - 515698*r**2 + 515698*r**2.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(684) - (2*sqrt(19) + sqrt(19))*-5)**2*4 + -4 + (sqrt(1539) + 0 + 0 + sqrt(1539) + sqrt(1539) + 0 + 3)**2.\nAnswer: 162*sqrt(19) + 14540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*z + 2, 0 = 3*o + 2*z - 16. Suppose -4*s - 12 = o*g + s, -3*g + 10 = -s. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 47 = 35. Suppose -3*g - o + 59 = 3*o, o + 66 = 4*g. Solve d*c - g = -2*c - 5*x, 0 = -x + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 22*f - 3)*(-21*f**4 - 20*f**4 + 5*f**4) + (4*f + 4*f + 2*f)*(-2*f**2 + f**2 + 0*f**2)*(-5*f**2 + 3*f**2 + 0*f**2).\nAnswer: 812*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1*(5 + sqrt(2) + -1).\nAnswer: -8 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 691301.\nAnswer: 6221709","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 2 = -o, 4*o = -24*z + 30*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -17 - -30 - 114*5. Which is greater: f or -560?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 1187*a**2 + 2376*a. Determine x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 23 = l, -3*l - c + 58 - 22 = 0. Suppose l*m - 112 = 3*m. What is the remainder when 67 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 6:42 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-15))\/((8\/2)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k + 416 = 65*k. Suppose 0 = 4*g, y - 5*g + 279 = 32. Let r = -143 - y. Calculate the highest common divisor of k and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-56)\/(-64) + 2\/16. Put -3, t, 29 in decreasing order.\nAnswer: 29, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dxkcdadkkakkdecd. What is prob of sequence cexc?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 1\/2*y**2 - 1\/2*y**3 + y + 0. Determine u(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 41735 or 41888?\nAnswer: 41888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 2*o - 3*n, 2*n = -3*o - 0*n - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-31)\/186*(-916)\/14 - (-4)\/42. Let k = -1 + 3. Solve 0 = -3*r - 3*a - 0*a - 12, -k*a - v = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 346\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-95)\/(-25) + 1\/5. Suppose 0 = t*a + 4*m + 8, 3*m + 6 = -2*a - 3. Solve -4*y + 14 = a*d, -d - y + 3 = -0*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 3*g**2 - 2. Let y be s(-3). Let u be (-9)\/(-6) - (y - -3). Let x = -2 - -2.04. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 244, 280, 352, 472, 652?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1490088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166686 is divided by 2059.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that h**2\/3 - 53552*h\/3 + 2782000\/3 = 0.\nAnswer: 52, 53500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1559 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1288995.68 to the nearest 10000.\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -6*d + 1. Let k be v(0). Let g be 2\/k + 0 + 7. Let p(c) = c**2 - 10*c + 3. Determine p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -148 - 14?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + (-3 + (-1 + sqrt(252) - sqrt(252)) + 0 + sqrt(252) + sqrt(252) + (sqrt(252) - (sqrt(252) + -2 + sqrt(252) + 1)) + -5)*-2)**2.\nAnswer: -672*sqrt(7) + 2408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -212, -478, -852, -1334, -1924?\nAnswer: -2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**2 + 473*j + 2. Let y(c) = -9*c**2. Determine w(y(a)).\nAnswer: -162*a**4 - 4257*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of r**4 - r**3\/3 + r**2 - r + 1. Let x be h(1). Find the common denominator of (50\/x - -4)\/(-30) and 13\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + -2)*2\/3*-1. Let s = -8 + 11. Suppose -6 = -6*a + s*a. Solve 20 = -z*w - a*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(3*l - 7*l + 2*l) + 51 + 55 + 40 - 11645*l + 57 - 203.\nAnswer: -11641*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 451798 by 1.\nAnswer: 451798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-258))\/(8 + 747\/(-81)). Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2334105, 2334108, 2334111, 2334114?\n\"Answer: 3*c + 2334102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (53\/((-2915)\/20))\/((2\/(-88)*3)\/3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 417605, -0.4, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2428.13 years?\nAnswer: 242.813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/22367739 and 41\/66.\nAnswer: 492090258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/49)\/(15\/35)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 PM and 1:32 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + -7 - -9) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 31*p**2 - 52*p - 655. Is 215 a factor of k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -56989310 < -56989310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1000, 1002, 1006, 1012, 1020?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 0.52  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13140 (base 5) to base 10.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.4, 6.286, -0.145 in decreasing order.\nAnswer: 6.286, -0.145, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 72601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (16\/(-2))\/((-6)\/12). Suppose 5*a + x = 20, -x = -4*a + 2*x + j. What is the second derivative of l + 0*l**4 - l**a - 6*l + 0*l wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0412268501 rounded to four decimal places?\nAnswer: 0.0412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/4)\/((-66094)\/1491836).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d + 8*d - 5*d + 0*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -6897248 divided by -4?\nAnswer: 1724312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102 + 132011203?\nAnswer: 132011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 10 = -4*b + 6, 0 = -3*b - 2*j + 5. Let f be b*2*4\/12. Solve -f*p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y - 3 + 3. Let f(z) = -2*z - 2. Let v(i) = 6*i + 7. Let m(w) = -21*f(w) - 6*v(w). Give m(o(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 5*x + 77. Suppose -x*q + 20*q - 18 = 0. Solve 5*r = b + 4*b + 15, 0 = -q*b + 5*r - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -18*d + 2. Let a be h(-5). Let y = 98 - a. Solve 4*s = -20, -4*o - y = 4*s + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -519618 * -33.\nAnswer: 17147394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 246970*v**3 - 12*v**2 + 12*v + 1. Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46913 + 3641431?\nAnswer: 3688344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 130, 5, -310, 20 in increasing order.\nAnswer: -310, 5, 20, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5)\/m)**21*((m\/(m**(1\/2)\/m))\/m*m)**(2\/5) assuming m is positive.\nAnswer: m**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25874 is divided by 229.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-88 - -44) + 41 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4833 - 4830.603. Let w = -2.4 + n. What is w rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 15*w = -13*w - 21, 2*q - w = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 124127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73321 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -28, -55, -100, -169, -268?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-10))\/(1\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -45, 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 + -0.2. Let n be (-1054)\/(-14) - 42\/147. Suppose 5*l + n = p, -l + 5*p + 45 = -4*l. Are l and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -760*a + 14*a**2 - 18*a**3 + 26*a**3 - 16*a**2 - 6*a**3 as l*a + g*a**3 + o + h*a**2 and give l.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.006?  (a) -0.3  (b) 45  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 18 = -4*m + 5*k, 3*m + 24 = -5*k. Let h(i) = -3*i + 5. Let f(n) be the second derivative of -n**3\/6 + n**2 + 24*n. Determine m*h(r) + 7*f(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i - 66*i + 213017 = 213966 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 177 <= 161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 z, and 1 b when four letters picked without replacement from {r: 2, z: 7, s: 2, b: 1, k: 1, a: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 18*i**2 + 7*i - 13. Let q be l(3). Let f be (51\/q)\/((-6)\/(-8) - 0). Factor -2\/5*g**2 + f*g + 2\/5 - 2\/5*g**3.\nAnswer: -2*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 2*j + 2 = 0, -2*j - 11 = -2*c + j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12798\/11 or 1162?\nAnswer: 1162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22069 by 2292.\nAnswer: 22069\/2292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -6*d. Let m(n) be the second derivative of 0 + 2\/3*n**3 - 18*n + 0*n**2. Determine -5*g(v) - 8*m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - ((2 - 1) + -26). Let a be (45 - -3)\/(-1)*2\/(-4). Which is greater: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107*i**2 - 18*i + 120*i**2 - 17*i - 330*i**2 + 35*i + 101*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 230 = 4*i, 0 = -2*i - 4*t - 74 - 26. Let w be (1\/(-2))\/(3\/i). Calculate the highest common divisor of 30 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) -9  (b) 4  (c) 0.3  (d) 6  (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - 7*n - 6. Let s be (1\/(-3))\/(1\/(-18)). What is the common denominator of p(s) and 59\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of -l**5\/10 + 19*l**4\/4 - 86*l**3\/3 + 117*l**2\/2 - 99*l\/2 - 41. Suppose o(p) = 0. What is p?\nAnswer: 1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x - 14. Determine w(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 55487 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 148387289*l**3 - 3765300*l + 8?\nAnswer: 890323734*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15\/31 + 73\/279. What is the third biggest value in -0.3, w, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**7\/630 - x**6\/90 + x**5\/36 - x**4\/36 + 5*x**2. Factor g(s).\nAnswer: s*(s - 2)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200181599 < 200181601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 837\/16 - 257975\/48. Let d = y - -5344. What is the common denominator of -37\/11 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 22 + 5*l**3 - 4*l**3 + 10*l + 0*l**2 - 13 - 9*l**2 - 28. What is o(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 23*k**2 - 24*k - 2. What is the remainder when 669 is divided by d(-22)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.05 and 0.13.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -115.54 - -114. Let n be (-12)\/21 - 56\/(-98). Are n and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/31 and 73\/3410?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -19*f**3\/3 - 3*f**2\/2 - 475*f. Let u(s) = -13*s - 1. What is 3*l(c) - 8*u(c)?\nAnswer: -10*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/8038 and -11\/64858622?\nAnswer: 64858622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 108 = -115 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*z**4 + 15184*z**3 + 1404*z**2 + 3*z + 79 wrt z.\nAnswer: 240*z + 91104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 210?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 347649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -i - 7*d - 32 + 13, -22*i - 3*d = 131 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v - 1. Let a(o) = -7*o**2 + 3*o + 2. Let q(p) = -a(p) - 2*u(p). List the prime factors of q(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 408*p = 523*p - 575 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -5*x + 18, -3*x - 42 = -3*i - 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -643*z**4\/6 - 1000*z**2 + z + 1566. Differentiate f(l) with respect to l.\nAnswer: -2572*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6162979 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -33650, -67213, -100690, -134081, -167386, -200605, -233738?\n\"Answer: 43*f**2 - 33692*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 27*h**2 + 57*h + 223. Give l(-25).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (31 - 30)\/(1\/3). Let w = 10 + 2. Suppose a - w = -s*a. Solve a*p = 7*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 337\/4 + (-5)\/20. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**2 - 3 + 3 + 0 + 0 + 3*d**2 + (1 + 0 - 9)*(-17 + 17 + 4*d**2) to the form k*d + v*d**2 + a and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(1584)*1)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2*o = 2*t - 8, -8 = -4*t + 4*o. Suppose -2 = -j + t. Suppose 5*d = -2*f - 27, -2*f + 14*d = 11*d - 13. Put -5, j, f in decreasing order.\nAnswer: j, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.2279666 - 1233.7726824. Let g = d - -1243. Round g to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5a8 - -46b3?\nAnswer: 509b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 3.00359 times -5.63\nAnswer: -16.9102117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14633*r**4*w - 53*r**2*w**2 + 175*w**2 - 7*w - 90 wrt r?\nAnswer: -58532*r**3*w - 106*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30351 is divided by 1552?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2507764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21\/8?  (a) 3  (b) -5\/3  (c) 2  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/77328 and -75\/16.\nAnswer: 77328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10080 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-3))\/((-2)\/3). Let w be (-2 - 52\/(-20)) + p. What is the nearest to w in 1\/8, 3, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*o - 11*o - 36*o - o**2.\nAnswer: -o**2 - 78*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(264)\/(sqrt(32) - sqrt(8)))\/(sqrt(75) + 2*sqrt(75)) + 1*(sqrt(11)*2 + 5 + -5))**2.\nAnswer: 62*sqrt(11)\/15 + 10796\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 14797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 - 6*c**2 + 6*c + 5. Let w(y) = y**2 - 11*y + 5. Suppose 55 = 8*t - 3*t. Let m be w(t). Calculate q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.7 or -2035?\nAnswer: -2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*s + 1806 = 0, 0 = -u - 0*u - 5*s + 447. What are the prime factors of u?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2912071 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 54487907.4 to the nearest 1000.\nAnswer: 54488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 9*n - 6. Let o be l(-3). What are the prime factors of (-2 - o\/15) + (-1178)\/(-10)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10*24\/800)\/(585\/52)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5053 is divided by 235?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -151783*c**4 + 440371 wrt c?\nAnswer: -607132*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1447, 4, 5 in ascending order.\nAnswer: -1447, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -830*a - 10 = -820*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 12*y**2 + y + 14. Suppose -15 - 9 = 2*a. Let z be m(a). Let g = -271 + 269. What is the smallest value in 0, z, g, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -1\/5, 16\/75, 3.\nAnswer: -4, -3, -1\/5, 16\/75, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5655*d**5 + 2*d**4 + 2*d**3 + 15932*d**2.\nAnswer: 339300*d**2 + 48*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + w**2 - w + 28. Let y be r(6). Let j = -25 + y. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 16*g**2 + g + 22. Suppose 2*y + 330 = 298. Let r be c(y). What is the highest common factor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l + 20 = 13*l, 0 = -5*v + 3*l + 8. Suppose -591 = 15*i - 16*i + 5*r, v*i - 2330 = 3*r. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 11:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1654 + 5158 + 3*y - 6812.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 5*d + 20, 4*j + j - 3*d - 22 = 0. Suppose 7*y = j*y. Which is the nearest to y?  (a) -5  (b) -0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from txoxxtoitotpoxx. Give prob of picking 1 t, 1 o, and 1 i.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8.5988 and 26437.\nAnswer: 26445.5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 262110 (base 7) to base 16.\nAnswer: be7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/6 and 137\/1247070.\nAnswer: 1247070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**(8\/5)*y)**(1\/6) assuming y is positive.\nAnswer: y**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 120 + -92 - (5 + -6 + -2 + 6 + -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/84 and 46 - 34 - (-12412)\/(-1008)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -8\/5, 1\/6?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138 divided by 107783.\nAnswer: -138\/107783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 211123 = 48156. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/9, 5, 2\/41226999 in increasing order.\nAnswer: 2\/41226999, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of t**6\/120 - 7*t**4\/24 + 2*t**2. What is the second derivative of x(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13198.932 months in millennia?\nAnswer: 1.099911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -5*f. Let b(h) = 26*h + 24*h - 50*h + 3*h**2. Calculate x(b(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6 + -0.15286.\nAnswer: -1.75286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4744 is divided by 4737.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = -12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of 0 + 59\/120*i**6 + 0*i**4 + i - 41\/6*i**3 + 14*i**2 + 0*i**5. What is the first derivative of j(g) wrt g?\nAnswer: 177*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - i = 5 + 7, -x + 5*i + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -7*a**2 + 20*a. Let y(j) = 22*j**2 - 60*j. Let f(z) = -11*r(z) - 4*y(z). What is the second derivative of f(h) wrt h?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**9\/60480 + p**7\/3360 - p**6\/1440 - 7*p**4\/12 + 27*p**2. Let i(z) be the second derivative of f(z). What is h in i(h) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20993 + 20993.1. Do o and -2039 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 5*j - 4*j + 9 - 16 - 2*j. What is q(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -350, -1260, -2564, -4088, -5658, -7100, -8240, -8904?\nAnswer: -8918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 750133875*g**3 + 13*g + 7*g - 750133877*g**3 - 23*g + 3*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 0 + 10 - 15 + 5 + 13*m**2. Let p(j) = -41*j. Determine w(p(y)).\nAnswer: 21853*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 188*z + 190*z + 29 = 0, -n = -z + 18 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {p: 1, j: 3, z: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*l - 24 + 108 = 0. Calculate the smallest common multiple of ((-12)\/(-10))\/(3\/30) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2471352 divided by -47526\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5892028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 26967 = 26966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**3 + 4*y**2 + 5*y + 6. Let x be i(-6). Let a be (x\/(-2))\/(6\/100). What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 6 - 6*q - 2 - q**3 as a*q**3 + r*q + i*q**2 + l and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -492094*a*p**3 - a + 181929*p**3 wrt a.\nAnswer: -492094*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = 2036*b - 2007*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 0.319?\nAnswer: 4.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -3*z**2 - 258*z - 3960 = 0.\nAnswer: -66, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in 2\/3, -3, -10981?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-35)\/(-11) - (-2)\/22*-2. Solve -6*d + 3 = -p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*n - 140 + 16*n - 20*n - 9 + 10*n.\nAnswer: 11*n - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b**2 - 4*b - b**2 + 4*b.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -67 (base 11) to base 13\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6 + (4 - 28)*1. Let p(q) = -q**3 - 18*q**2 - 7*q - 3. What are the prime factors of p(u)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/1*3\/3. Suppose -b + 4 = -s. Suppose 3*q = 7*q. Solve q = b*t - 3*k - 16, -4*t = -0*t + 4*k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -192?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, l: 1, s: 2, j: 2, h: 2}. What is prob of sequence hs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 105825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -284540018?\nAnswer: -284540011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 24562861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4125846*p + 4125918*p - 8251764*p + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -2 in descending order.\nAnswer: 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.06 + 0.22. Let x = 2821 - 2821.2803. Let k = x + q. What is k rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 163719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 97, 1135, 3135, 6103, 10045, 14967, 20875, 27775?\n\"Answer: f**3 + 475*f**2 - 394*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 59*v**2 + 152*v - 2077. What is x(61)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1520+0.03242932\nAnswer: 1520.03242932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2373359?\nAnswer: 47, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2043569565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -392*p**3\/9 + 112*p**2\/3 + 6*p + 2\/9.\nAnswer: -2*(p - 1)*(14*p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -6*m - 6. Let j = 51 + -54. Let v be j*20\/24*-2. Let u(c) = c + 1. Calculate v*u(s) + h(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2\/19 - 5634*k\/19 - 5632\/19 = 0. What is k?\nAnswer: -2816, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 4*f + 2*a, -5*f - 3*a - 40 + 153 = 0. Let o = -17 - -20. Let l be (f - o) + 4 + -2. Solve 5*s + 5*h - l = h, h - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 10:14 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8517.93s in milliseconds?\nAnswer: 8517930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, y: 5, h: 4}. Give prob of picking 1 t and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + 0 - (-157 + 168)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 258 and 9873789.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**5\/30 - u**4\/6 - u**3\/6 - u**2 + 961. Calculate h(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/180 and -79\/263538.\nAnswer: 2635380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*v - 157 = -91 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**2 - 2118*o - 373827 = 0. What is o?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and 8.9?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 370 and 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -6*t + 25. What is u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-216)\/36*(6\/(-2) + (-168)\/(-54))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1165 = 3347*k - 3659*k + 707 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 322363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 298170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2271.538 * 0.3\nAnswer: 681.4614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccvvcvvvvcccvcccccc. Give prob of picking 4 v.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 39  (b) -8\/21  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kiv when three letters picked without replacement from {j: 1, v: 2, i: 1, b: 1, k: 1, h: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 3*u + f, 3*u - 14 = 4*f. Suppose 7 - 1 = 2*d. Solve 4*l + u = d*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/(-36))\/(2\/(-40)) + (-1 - -1307). Suppose m + 2*m + 1566 = 0. Let h = d - m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*11365892.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.686 * 2633.\nAnswer: 17604.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of 0 + 1\/180*z**6 + 1\/9*z**3 + 0*z + 1\/30*z**5 + 5*z**2 + 1\/12*z**4. Factor s(o).\nAnswer: 2*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284ae8 (base 15) in base 16?\nAnswer: 1d9906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j + 1. Let d(h) = 31*h - 5. Let r(l) = d(l) + 2*u(l). Is r(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57.6 + -63.87. Round x to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-450)\/180*(-20)\/(-250)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.113 + -0.113. Let u = -15 + z. What is the nearest to -2 in u, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-7\/3)*j)\/j)\/j)**(3\/34) assuming j is positive.\nAnswer: j**(-7\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k + 3 = 15*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 21, 62, 103, 144, 185?\n\"Answer: 41*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 d when four letters picked without replacement from xxxdxdd.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 227 divide 1013328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1262782+16\nAnswer: 1262798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2318453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.3, -4, -11 in ascending order.\nAnswer: -11, -4, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**6\/120 + l**5\/12 - l**4\/12 + l**3\/2 + l**2. Let y be (-2)\/12 + (-124)\/(-24). Determine n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(570\/690)\/19.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(5\/(15\/(-6))). Suppose 4*n + 4*l - 1440 = b, 3*n - 720 = n + 4*l. What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -1 + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 1:39 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 231257 is divided by 115556?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -5204?\nAnswer: -5203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1158599902*o**2 + 1084809154?\nAnswer: 2317199804*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 5*r**2 + 12*r + 10. Give y(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, -329, -1288, -3149, -6212, -10777?\nAnswer: -17144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 4*h**4 - 44*h**3 - 12*h**2 + 140*h - 88 = 0.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134282.\nAnswer: 2, 67141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m*w**2*z**3 + m*w*z + m*w - 5*w**4 + 2*w**2*z**3 - 16*w*z**3 - w wrt w.\nAnswer: -2*m*z**3 - 60*w**2 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 6, k: 12}. Give prob of sequence kdd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-16)*-6*16. Let c be (-1 - -2)\/((-6)\/p). Suppose -l = 2*m + 150, -2*m + c*l - 375 = 3*m. Round m to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12140.83 to the nearest one hundred.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 732729 or 732960?\nAnswer: 732729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/10)\/((7\/1)\/1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -r - 7. Let h = -3 + 16. Let l = -8 + h. Sort l, r, 4 in increasing order.\nAnswer: r, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 2210?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(77)\/(-1*sqrt(112) + sqrt(7)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o + 3*r = 375, 15 = o + 186938*r - 186941*r for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/495 and 47\/146574.\nAnswer: 8061570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1408 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3765, -2, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 407658, 1630586, 3668802, 6522306, 10191098, 14675178, 19974546?\nAnswer: 26089202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 131*g + 139 wrt g?\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 475980 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 1\/1155*y**7 + 12*y**2 + 0*y + 0*y**3 + 0 + 0*y**4 + 1\/220*y**6 + 0*y**5. Factor p(a).\nAnswer: 2*a**3*(a + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 20*w - 106. Give a(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 11:05 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9260 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 9*x = 110. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 10) in base 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, -0.1, 4, -1\/323?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1694) + 1*sqrt(1694))\/((sqrt(7) - (sqrt(7)*-3 - sqrt(7)))*-1).\nAnswer: -22*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 20. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-68 + 102)\/(90 - 0) - 9\/15. Which is the biggest value?  (a) -0.86  (b) j  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7324266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 827 is divided by 210?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -110549 divided by -487?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b**5 + 192*b**3 - 39*b**4 - 179 - 183*b**2 + 74 - 24*b + 165 = 0. What is b?\nAnswer: -10, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -24*r**2 + r. Determine o(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 140052, 280106, 420160, 560214, 700268, 840322?\nAnswer: 980376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(189\/(-54) + 24). Let g be -3 - (-2)\/1 - 1. Which is the nearest to g?  (a) x  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55967 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 3*j + 1334 - 71002 = 0, -4*q - 4*j = -69668. Is q a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from egyezg. What is prob of sequence ez?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 18.73, 0.19, 5, 2\/7, -4 in ascending order.\nAnswer: -4, -1, 0.19, 2\/7, 5, 18.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/21 + 6\/(-9). Let v be (1\/2 - -1)\/(-1). Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + 2*s + 11. Let k be h(-5). Let v be (129\/9 - 2)\/((-8)\/k). Suppose v*q = 35*q + 58. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.964 + 3.964. What is the nearest to -1 in -25\/3, -1, 1\/2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36995220 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 27072 divided by -987\nAnswer: -192\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - (-59 - -2)\/(-3). Let p be (-5)\/(-4)*b\/4. Let c = 9 + p. Solve -8 = -c*f - 4*d, -4*d - d + 30 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00209282031 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5548 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x\/(x*x*x**(-27\/2))*x)\/x)\/x*x)\/((x*(x*x\/x**(-8\/9))\/x*x)\/x)*x**15\/x**4 assuming x is positive.\nAnswer: x**(407\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 5*c + 0*c**2 - 2*c**2 - c + 1 + c. Let g(s) = 208*s + 166*s - 373*s. Determine -4*g(z) + i(z).\nAnswer: -2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/3460 - -47579\/13840. Calculate the common denominator of -11\/4 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -73149.1999 to the nearest 10.\nAnswer: -73150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -15710*v**2 - 172811*v + 15. Calculate h(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 13*r**2 + 48*r + 7. What is v(8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 11:12 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192*x - 63 - 192 + 63 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.067 - 1.067. What is the nearest to k in 1\/10, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 c when three letters picked without replacement from {d: 1, c: 4, f: 1, y: 4, r: 7}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9867.\nAnswer: 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 8:25 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v - 4*u - 33 + 15 = 0, v + 3*v - 5*u + 6 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9054, -9262, -9470?\nAnswer: -9678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19\/8 - -871\/360. Let z = 13\/45 + h. What is the nearest to z in -1.4, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -170983810 rounded to the nearest 1000000?\nAnswer: -171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n**3*o**4 - 2*n**3*o**2 + 36*n**3 - 64*n**2*o**5 wrt o.\nAnswer: -24*n**3*o - 3840*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.0245  (b) 4  (c) 3  (d) -1\/3  (e) 0.1  (f) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -2 + (19 + -11 - 26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.805843um in meters?\nAnswer: 0.000008805843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of -d**7\/2520 - d**6\/240 - d**5\/40 - d**4\/8 - d**2. Let i(g) be the second derivative of s(g). Give i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 7*l**2 + l + 5. Let y be u(-7). Put -4, 5, y in decreasing order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20002111112 (base 3) to base 12\nAnswer: 59495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1045 (base 6) to base 3\nAnswer: 100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -2, 15, 4\/7, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-5 - -12) + (-20 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 3*k**2 - k + 3. Give f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*g = -4*y - 20, g - 3*y - 5 = 0. Let o(c) = 17*c**2 - 1. Let s be o(-1). Calculate the highest common factor of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 15*g**2 + 11*g. Let p(a) = a. Give 2*p(k) + z(k).\nAnswer: 15*k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -35, -14, 43, 148, 313, 550, 871?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 258524107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 74300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 132 (base 6) to base 12\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.312  (b) 2  (c) -1  (d) -3\/4  (e) 0.018\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**2 - 14*l + 25. Calculate q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -17\/14, -47, 8, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.894 - 5.894. Which is the nearest to -1?  (a) 53  (b) 1  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(4\/9)*x)**(-46))**(-2\/27))**(1\/29) assuming x is positive.\nAnswer: x**(1196\/7047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of 1\/3*p**3 + 0 + 0*p + 0*p**6 - 3*p**2 + 1\/210*p**7 + 0*p**4 + 0*p**5. Find the first derivative of q(w) wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4.776723 millimeters?\nAnswer: 4776.723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15646.9 + 15003. Round c to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(55\/(17600\/270))?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - z - 5. Let v(c) = -c**3 + 4*c**2 + c + 4 - 4*c**2. Let w = -52 + 55. What is w*o(m) + 4*v(m)?\nAnswer: -m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4603, 18353, 41263, 73327, 114539, 164893, 224383?\nAnswer: 293003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107 + -105 - (5 + 0 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 150 = 4*j. Let o be (-26)\/(-12) - j\/10. What is the second biggest value in o, -0.2, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 13) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 189 + -312. Let a = 126 + b. List the prime factors of a*(-356)\/36*-6.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15862731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 713 - 1157. Let u = 456 + h. What is the remainder when 18 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of 0*q - 1\/3*q**4 + 0 + 0*q**3 + q**2. Determine n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -5*j**5\/6 - 5*j**4\/3 + 35*j**3\/6 + 20*j**2\/3 - 10*j = 0.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - 2442\/(-6)) + (0 - 0) a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1372*z**2 - 3201*z**2 - 1938*z - 408*z**2 - 4295*z - 785*z**2 wrt z?\nAnswer: -11532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 8633 + 993*g - 8633 - 30*g + 150*g. Let h(b) = 2*b. What is a(h(y))?\nAnswer: 2226*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/112*-4*-52.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**3 + 4*u**3 - 6*u**3)*(-24*u - 64*u - 14*u)*(-3 + 3 - u).\nAnswer: -612*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5 - 4 - 2*g**2 + 2 - g**3. Let f(l) = -2*l**3 - 5*l**2 + 8. Let u = -19447 - -19439. Determine u*h(n) + 3*f(n).\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 642 * 0.5.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25132 and 173605573?\nAnswer: 6283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 64952, 64959, 64970, 64985, 65004?\n\"Answer: 2*p**2 + p + 64949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 21 + 71*h - 20.\nAnswer: 71*h - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*n - r, -n + 2 = -3*r + 1. Suppose 4*i - n*w - 135 = -i, -4*w - 108 = -4*i. What is the remainder when 106 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 26964892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3206039ng in milligrams?\nAnswer: 0.0000003206039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + 87)*(-7 + 6). What is the units digit of (-2)\/(-10) - v\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67841\/270 - 1259\/5. Calculate the common denominator of x and 115\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = m - 6577, -3*i + 5*m + 5666 + 905 = 0. Is ((-3)\/6)\/((-4)\/i) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(2 - 2 + 1)*(-2*f + 4*f + 17*f).\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*g = 8*g + 2990. Let y = g - 271. Calculate the common denominator of 41\/3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1195122 by 597561.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -46371120 divided by 38260\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130309 and 5598.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/1927436 and -20\/21.\nAnswer: 5782308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 12:27 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p*p**(-2)*p))\/p)\/(p*p**(2\/19)))\/(p*p**(2\/3)*p*p*p)**(3\/5) assuming p is positive.\nAnswer: p**(-371\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 11*r - 2. Let m(w) = -511*w + 5. What is 6*k(d) + 3*m(d)?\nAnswer: -1467*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70 + 210)\/(-140) + (2 - (-40)\/(-46)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2802*o + 2802*o + 24*o**2 to w*o + h*o**2 + q and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*i + 5. Let s(n) = 6*n - 2 - 1 - 20*n**3 - 27*n**3 + 4 + 48*n**3. Let u(c) = -c. Calculate i*s(y) + 6*u(y).\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of 13*n**4\/12 - 32*n**2 - 4. Let t(a) = 2*a**2. What is q(t(m))?\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 416693026*l + 315974845 wrt l?\nAnswer: 416693026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 560 and 19152.\nAnswer: 95760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6703\/14 + 479. Let g(m) be the first derivative of 0*m + 4 - a*m**2 + 1\/21*m**3. Determine u, given that g(u) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 12:00 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -389, -1207, -2453, -4127, -6229?\nAnswer: -8759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u + 5*u - 3*u - 195*u**2.\nAnswer: -195*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -34 - 15387?\nAnswer: -15432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2 - 15*x - 89. What is the units digit of t(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fddoggaodadgado. Give prob of picking 1 f and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 18*j**2 - 22*j - 4. Let y(h) = -h**2 + h + 1. Let c(k) = -f(k) - 4*y(k). Find the second derivative of c(w) wrt w.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2592) + -6*sqrt(2592)*1 + sqrt(2592))\/(1*sqrt(9)*1*3).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 - -167. Suppose -r*c + 112*c + 9644 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 20*d + 9. Let q(f) = -f**3 - 31*f**2 - 157*f - 157. Let t be q(-25). Give p(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -68  (b) -7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, y: 9, s: 1}. Give prob of picking 1 s, 2 y, and 1 f.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.03  (b) -28\/373  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11203443.\nAnswer: 3, 61, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 PM and 4:34 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51 - 50.98. Let f = 0.28 + k. What is the biggest value in -7, f, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*g - g. Suppose -g*c = -9*c. Suppose 0 = 4*b - 2*o, -o + 4 + c = 0. Let j(r) = r**2 - 2*r + 1. Determine j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h**(6\/5)*h))*h**(-1\/18)\/h)**(3\/31)\/((h\/(h*(((h*h*h**(-1)*h)\/h)\/h)\/h)*h**(-8))\/(h*((h*h**(-2\/3)*h)\/h)\/h)**13) assuming h is positive.\nAnswer: h**(10643\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 + -12. Let y = -60 - -84. What is the highest common divisor of a and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o = -25*o. Let m(z) be the third derivative of 2*z**3 + o*z**4 + 0*z**6 + 0*z + 4*z**2 + 0 - 1\/4*z**5 + 1\/70*z**7. Solve m(b) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -454225.5 - -454202.50181. Let t = -23 - w. Round t to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7239234991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 - 0.3. Let k = 136.174 + -136. Let r = k + -3.174. Which is the nearest to w?  (a) r  (b) 1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -20, -37, -78, -155, -280?\n\"Answer: -2*v**3 - 3*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 3:45 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13.21 - -0.21. Let j = g + 14. Which is the nearest to 2?  (a) j  (b) 0  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25 - 31469608611.\nAnswer: -31469608636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -88\/9 bigger than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 4*b - 2. Let z be r(4). Suppose -2*i - 5 = 5. Put z, i, -1 in ascending order.\nAnswer: i, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -43 - 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -9*f**3 + 4257*f**2 - 56*f + 26486. Determine n(473).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**4 + 365*t**3 - 5955*t**2 - 30965*t + 36550 = 0. What is t?\nAnswer: -86, -5, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + -3 + 2 + 444 - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 454 (base 11) to base 16\nAnswer: 21f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101891523?\nAnswer: 3, 17, 67, 29819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04 and -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 33*d + 46. Let s(v) = 33*v - 50. Let g(y) = -3*k(y) - 2*s(y). Let i(t) = -t**2 - 11*t + 13. Let z(m) = -3*g(m) - 8*i(m). Give z(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 5\/2, -0.272, -2, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70 and 1928890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -491, -1972, -4445, -7904, -12343, -17756, -24137, -31480?\nAnswer: -39779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + b + 1. Solve 0 = -3*v - b + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, i: 5, a: 4, p: 5}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 2 - 3)*(-j + 0 + 0)*(7*j + 38*j + 8*j)*(-4*j - 74 + 157 - 77) as d*j**2 + f*j + b*j**3 + v and give d.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 0 = -y. Let i(j) = j**2 + 3*j. Let n(g) = 1 - 3*g - 1 - g**2 - 5 + 4. Let o(u) = 5*i(u) + 4*n(u). Give o(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/24*-3*-22*-4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 9 - 1)*(-1 - n**2 + 1).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9642*g - 1717*g - 10201*g.\nAnswer: -21560*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13 - 132?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x - 2*x + 2*x)*((-27 + 8 + 11)*(x + 6*x - 4*x) + (3*x + x - 7*x)*(-7 + 0 + 2)) as i*x**2 + m + j*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g - 2 = -32. Let u(w) = 515299*w**2 + 2 - 62*w - 5 + 59*w + 1369*w**2. Let t be u(g). Round t to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2079)\/81)\/((-660)\/120)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/25*123\/((-158424)\/(-460))?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -6288 + 2*f - 6333 + 12621. Let c(n) = 10*n**2 - 5*n + 5*n. What is c(y(t))?\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2022211002100002 + -21?\nAnswer: -2022211002100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/7040 and 37\/50.\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -27, -105, -267, -543, -963, -1557?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 15*s**2 - 38*s - 342. Give z(-13).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 179, 483, 981, 1667, 2535?\nAnswer: 3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/13 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324969?\nAnswer: 3, 149, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.11675 + 0.08325. Let l = 3.024 - 0.024. What is the second smallest value in b, l, -2\/9, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1556*y = -266*y - 15480 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -376 by 13.\nAnswer: -376\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3364 + 3362. Let p = -4 + 5. What is the fourth biggest value in 0.2, -2\/3, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -64, -2, -1 in descending order.\nAnswer: -1, -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006158 to 5 dps.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 19 + 10)*(-g + 1 - 1 + (-3 + 0 + 1)*(-5 + 5 + 2*g) - 5*g - 75 + 75)*(-g**2 + 0*g**2 + 0*g**2).\nAnswer: -280*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 1:34 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 4 + 18 = 3*a, 2*j = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -245 - -1. Let k = -401 - j. Which is bigger: -156 or k?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1048 times -0.05\nAnswer: 0.00524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2450 and 32235.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2 - 1832*c + 1828.\nAnswer: 4*(c - 457)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 107*s**2 + 325*s - 246. What is the thousands digit of k(-103)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 272*y. Let r(p) = 79*p**2 + 6. Calculate d(r(i)).\nAnswer: 21488*i**2 + 1632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 94\/(-154) - 6\/(-33). Let n = 5 - 4.8. Let s = 0.9 - 1. Which is the closest to s?  (a) d  (b) -5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, l: 4, v: 7}. What is prob of picking 2 o and 2 l?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + 810\/(-801))*7. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -221, -429, -637?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -3*h - 1. Let k be j(-1). Find the second derivative of -k*o**4 - o - 3*o**4 - o + 3*o**4 wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -575, -1109, -1667, -2261, -2903, -3605, -4379?\nAnswer: -5237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mhzp when four letters picked without replacement from {m: 3, a: 1, h: 3, p: 2, j: 4, z: 4}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.662597 weeks to days.\nAnswer: 25.638179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g + 12*g + g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -190038004*h**4 - 117463300*h wrt h.\nAnswer: -2280456048*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 323 + 233 = -62*c - 126 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o\/((o*((o**(-3\/10)\/o)\/o)\/o)\/o))**30 assuming o is positive.\nAnswer: o**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11202 - -1212?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(95)*2 - ((sqrt(95) + -1*sqrt(95) - sqrt(95))*4 - sqrt(95)))*1)\/((-2*sqrt(5500) + sqrt(5500))\/(5*sqrt(11)*-2)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -5. Let a be (6\/l)\/((-6)\/(-15)). Let b(k) = 5*k**2 - 3*k - 4. Let q(j) = 6*j**2 - 4*j - 4. What is a*q(n) - 4*b(n)?\nAnswer: -2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 + 1. Let r(d) = -10*d**2 - 5. Let j(l) = -6*h(l) - r(l). Let t(u) = 297. Let o(z) = 2227. Let f(s) = 2*o(s) - 15*t(s). Give 2*f(n) - 2*j(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 2*p. Let c(z) = 9*z - 2. Determine c(j) - 2*x(j).\nAnswer: -2*j**2 + 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 235*x - 625. Calculate s(4).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1481799411.\nAnswer: 3, 31, 179, 29671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2. Let w be s(-1). Let k = -17 - -22. Which is the biggest value?  (a) -1\/4  (b) k  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -1*((sqrt(1575)*-2 - sqrt(63))\/(sqrt(36)\/(sqrt(20)\/sqrt(5))))**2.\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**5\/20 + 2*g**4\/3 - 5*g**3\/6 + 9*g**2\/2 - 28*g + 1. Calculate p(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 23.981. Let z = 0.032 - l. Let a = z - 0.0525. Round a to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 489 is divided by 173?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 2*d. Let i be (2 - -20)*1 - d. Solve -4*k - 2*f + i = 0, 6*k - 23 = k - f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 543*j**2 + 2 - 43*j**4 + 530*j**2 - 1074*j**2 + 7*j to u + i*j**3 + o*j + p*j**2 + v*j**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 6 = 3*z, -z - 5*n - 2 = -0*z. Suppose 0 = 4*q - 12*q - 2*q. Solve 5*x - 5*d = -15, -z*d = 3*x - q*x - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/15  (b) 5  (c) -3.3  (d) -13  (e) 0  (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 193530 from 0.4.\nAnswer: -193529.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-4))\/(6\/(-16)). Determine g so that 5*g**r - 2*g**4 + 5*g**3 - 4*g**2 + g**3 + 7*g**4 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 8:05 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(40\/((-14040)\/81)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9018 - (-3 - 0\/1). Suppose -4*q + 1379 = -v. Round q to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2836884, 5673777, 8510670, 11347563?\nAnswer: 14184456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1167 - 1169. What is the smallest value in 3\/20, z, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1021353257 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146 - 22 = 3*m. Let s be (4*4\/m)\/(2\/(-28)). Suppose -60 = -6*b + s*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.4 - 1.6. Let s = 5 - 1. Let x = s - 7. Which is the biggest value?  (a) g  (b) x  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-1)\/(((-4)\/(-40))\/(8\/80)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(10\/3))\/w)\/w**(-4\/3))\/((w*w**(-16))\/w**2) assuming w is positive.\nAnswer: w**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-45))\/(-31 + 6461\/213)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**9)**(-1\/4) assuming z is positive.\nAnswer: z**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-4))\/(52\/132). Let i be -1 - 1 - 16\/(-13). Let m = h - i. Is m at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 11:12 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 7, v: 2, d: 9}. Give prob of picking 1 d and 2 v.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000576 rounded to 7 decimal places?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 792 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 6*k - 5. Suppose -2*z + k*s - 1 = 0, -1 = -0*z - 4*z + 3*s. Is (1\/(z\/3))\/((-6)\/(-1574)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-339)\/(-9944))\/((-3)\/(24\/(-2)))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 0, 7, 1\/172, -5\/4, -1\/7?\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 13*f**3 - 115*f**2 + 9*f - 187. Give g(9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -561.0795185 to one dp.\nAnswer: -561.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82985 is divided by 9217?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2332179.6 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.72 * 43456\nAnswer: 31288.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 17*f**2 + 37*f - 53. Let i be w(-14). What is the greatest common divisor of i and 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 - -35. What is the greatest common factor of p and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 501303 or 501262?\nAnswer: 501303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.01, -1\/5, 0.5, 1.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/19  (b) -0.5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29626 is divided by 122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -361301.9563 to the nearest ten.\nAnswer: -361300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + -1 + -1 + sqrt(7623))*-6*2)**2.\nAnswer: -66528*sqrt(7) + 1104768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((16\/(-10))\/(-4)). Let a be (-3 - l) + -3 + 2. Suppose 0 = -3*j - 2*j. Is a greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 + 6)\/(-2 + 3). Let r(n) = -4*n + 35. Let q(g) = 2*g - 17. Let a(u) = 7*q(u) + 3*r(u). Let p be a(y). Solve -p*l + 0*l = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 5*w**2 + 5*w - 2. Let x(q) = -q - 6. Let g be x(-10). Let s be r(g). Solve 0 = s*p - 2*d + 14 + 2, -2*d + 7 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 3*p - 1187 + 1213 = y, 2*y - 11*p = -3*y - 130 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 8. What is the third derivative of k**2 + 2*k**6 + k**2 - p*k**2 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 3*g - 45. Determine h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/10*55\/462*-6*-1. Let n = 21 + -106\/5. What is the biggest value in q, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4813775  (b) 0.2  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -74374 (base 8) in base 13?\nAnswer: -11136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 20 + -29?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uggu when four letters picked without replacement from uuuuuuguuuuug.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2790 - 1616. Let s = -29 + n. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*(r**5*r)\/r))\/r*r**(-4\/5)\/r)**(-31\/4)*(r*r*r*r\/r**(-8)*r*((r**(-5\/6)*r)\/r)\/r)**(4\/37) assuming r is positive.\nAnswer: r**(136879\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 6*b + 2*n + 58, 27*n - 69*n = -4*b + 30*n - 120 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 5*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-95 + 30*h + 95)*(-2*h - 4*h - 5*h) + (2*h - h - 2*h)*(6*h - 3*h - 4*h).\nAnswer: -329*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1103 - 1102.98605. What is v rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 199200883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*v - 6 - 148. Let w be (-7)\/((1\/(-22))\/1). What is the highest common divisor of v and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o + 2. Suppose 5*a = -5 - 5. Let n = -208 - -226. What is the remainder when n is divided by l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, x: 6, v: 1, j: 5, k: 1, h: 2}. Give prob of picking 1 t, 1 k, and 1 x.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 134?  (a) -1  (b) 6\/17  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {p: 1, r: 2, s: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*l - 20 = 0. Suppose 2*r + l*v = -2, 8*v = r + 3*v - 20. Solve m - r*m + 2*h = -6, 2*h = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19320)\/4140)\/(1\/3*-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 769104 is divided by 965.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3245774 (base 8) to base 14\nAnswer: 189804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*i**5 + 1448*i**4 - 15398*i**2 wrt i?\nAnswer: 480*i**2 + 34752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 2) + -5 + (-9 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*d - 16 = 0. Suppose 6 = p + f + 2, -10 = -5*p + 5*f. Which is greater: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (5 + -4 - -17) + 63 + -74\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) 1  (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/3*((-7)\/((-168)\/270))\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -100 - (-117 + 87) - -134.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -24, -9, -211, 0 in decreasing order.\nAnswer: 4, 0, -5, -9, -24, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1209*x = -337*x + 5232 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Is 153175537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (4 - 5) + 9\/(-4). Suppose 0 = -2*x - 9 + 1. Let l = 3 + x. Which is the second biggest value?  (a) -0.5  (b) l  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**4\/24 + 3*n**3\/2 - n**2. Let k be (-14)\/6*(2 - -3 - 8). Calculate c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence avnz when four letters picked without replacement from nkazntv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -110010011000111111111 (base 2) in base 5?\nAnswer: -410314244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-322*(-110)\/308)\/((-15)\/6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve -900*t + 897*t + 35 = -2*v, 0 = 2*t - 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1397282 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.066 - 40.934. Let p = -40.52 - h. Let w = -0.37 + p. Round w to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 5*t + 3. Let d be f(-5). Suppose 5 - 2 = -d*o. Let m(r) = -r + 1. Let u(v) = -2*v**2 - 7*v + 6. What is o*u(y) + 6*m(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**9\/12096 - h**8\/1680 - h**7\/672 - h**6\/720 + 22*h**3\/3 + 23. Let j(d) be the third derivative of l(d). Factor j(p).\nAnswer: -p**2*(p + 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/14 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8459 greater than 22089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from epzpebe. What is prob of picking 1 e and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52623534 and 3621.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -378*r + 163*r + 228*r - 312*r - 368*r as s*r + y and give s.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 - 55983*j + 55986.\nAnswer: -3*(j - 1)*(j + 18662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -38. Suppose c + 2 = b, -5*c + b = 5*b + 28. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, o: 4}. Give prob of picking 1 h and 1 o.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 12 = h - 25 + 37, 11*v - 45 = 2*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -464369, -928982, -1393595, -1858208, -2322821, -2787434?\n\"Answer: -464613*k + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-2))\/i**8)**(-33)*(i**(-4)\/i*i)\/(i\/i**(-1\/4))*i*(i\/i**(-3\/5))\/i*i\/((i**(1\/5)*i)\/i) assuming i is positive.\nAnswer: i**(3243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -f - 3, -2*f = 2*c - 7*f + 11. Let h = 11 + -9. Solve -c*l + 4*y = h*y + 10, -l = 3*y - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 9*u + 46*u)*(-4 + 36*u**2 - 36*u**2 - 2*u**4).\nAnswer: -78*u**5 - 156*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 - 2)*(1 - 2 - 3)*(0*s**3 + 0*s**3 - 2*s**3) to h*s**3 + n + k*s**2 + z*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 389145703 from 1.02.\nAnswer: -389145701.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 9:00 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-34)\/(-34))\/(2\/138). Solve -94 = 5*i - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -3. Suppose m - 17 - 2 = 4*k, 2*k + 4*m = 4. Let u be (-3*(-3)\/(-18))\/(6\/k). What is the nearest to -2 in x, 4\/7, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12572759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 52521107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182077482.\nAnswer: 2, 3, 461, 65827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fsafw. What is prob of sequence ffs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 - -48. Suppose -4 = -o*i - 3*z, -3*z - 4 = -z. Let g(t) = t**2 + 5*t - 7. What are the prime factors of g(i)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**5 + 316*r**4 + 2272*r**3.\nAnswer: 4*r**3*(r + 8)*(r + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(10\/(-2)))\/((-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -x**4 + 52*x**3 + 816*x**2 - 490*x + 32?\nAnswer: -12*x**2 + 312*x + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15343 + -15279. What is the greatest common divisor of q and 4312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -125 - 2*r**4 + 125 + (r**2 - 2 + 2)*(r**2 - 3*r**2 + r**2) + (3*r + r**2 - 3*r)*(r - r - 2*r**2) + r**4 - r**4 - r**4.\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 263 - 153. Let q = 112 - v. Let z(i) = i**3 + 2*i**2 - 2*i + 1. Let h be z(-3). Sort -3, q, h.\nAnswer: -3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 15 + 5 + 5*q.\nAnswer: 5*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 111091?\nAnswer: -1\/111091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -172\/15 + 34\/3. Let k(a) = -2*a**3 - 2*a**2 + a - 1. Let h be k(-2). Sort h, 0.1, g in increasing order.\nAnswer: g, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/59  (b) 0.2  (c) 2\/5  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**4\/5 - 2720613*b**3 + 3*b**2\/5 + 2720613*b = 0.\nAnswer: -4534355, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -2\/131, 2\/5, 56?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 15*g + 10*g - 1364, -4*g = 5*c - 2224. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/4 + -4 + (-30)\/(-6). Let g = 43\/4 - 10. Factor v*a + 3\/4 - 3\/4*a**3 - g*a**2.\nAnswer: -3*(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5480)\/3425 - (54\/720 + (-1)\/(-8))*-1\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(539) + -4)*-1 - ((sqrt(11)*-1 + -5 - sqrt(110)\/(2*sqrt(10))) + 2)**2.\nAnswer: -16*sqrt(11) - 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -14929 from -167.\nAnswer: 14762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -7035*o + 6172*o**3 + 3676*o**2 + 1232 + 879*o - 4908*o**4 - 7*o**5 - 9*o**5 = 0?\nAnswer: -308, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1150462?\nAnswer: 2, 575231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/5 - (-57)\/60)*16. Suppose n*h - 9 = 15. Let t(z) = -4*z**2 - 2. Give t(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -143, -1\/11, -0.03, 3, -1\/8, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148.935 - 148.795. Let n(d) = 16*d + 1. Let p be n(1). Is y equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 178292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6885 + -3065. What are the prime factors of c?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 10:21 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 + 0*a**4 + a**5 + 1 - 1 + a**5 + (-2*a**2 + 5*a**2 - a**2)*(-2*a**3 + 0 + 0) + (-a**3 - 2*a**3 + 0*a**3)*(-a**2 + 2*a**2 - 2*a**2).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and -12391914.8.\nAnswer: -12391911.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 5\/168*v**7 - 7\/80*v**5 + 1\/40*v**6 - 1\/16*v**4 + 0 + 1\/12*v**3 + 3*v + 0*v**2. Let s(x) = 0. Calculate x.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -227*c - 243*c + 469*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 2*z + 5*u, -u - 3*u + 218 = 5*z. Let w = z - 39. Solve w*b = 3*d + 18, -4*b - 5*d - 10 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -4*g + 24. Suppose 2*h + r - g = 180, 3*h + r = 290. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, 7.04, -4 in decreasing order.\nAnswer: 7.04, 0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011100101 (base 2) in base 5?\nAnswer: -10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - (-9 - -2))*227. Let p = u + -1131. Factor 0 + 0*l**2 - 4\/9*l**3 + 2\/9*l**5 + 2\/9*l + 0*l**p.\nAnswer: 2*l*(l - 1)**2*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + 4678 - 4678 + g + 2*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -580814 - -580816. Factor -3\/5*z**q + 68\/5 - 20*z.\nAnswer: -(z + 34)*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36132, -72279, -108426, -144573, -180720?\nAnswer: -216867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 36, -0.27, 12, -2\/15, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 9:43 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 2:53 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -355253800.23 and 0.5?\nAnswer: 355253800.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 314253441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 977794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 6:40 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2661803288 and 27472?\nAnswer: 13736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -879*v + 876*v - 3 - 1 to p + m*v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1596 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/47 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 0, 4*g - 85*j - 17 + 1 = -81*j + 12 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-5))\/((-15)\/50). Suppose 2*i = -u + 12. Suppose -4*d = -s + 6, -d - 12 = -s - 3*d. Calculate the remainder when s is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/9*(-2)\/52*-13.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 2 - 17 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.50747 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11313130 (base 4) to base 3\nAnswer: 1012221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -60267.67419 to the nearest one hundred.\nAnswer: -60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(4*m + 2*m - 3*m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 4*b + 114 = 0, 222 = 3*o + 2*o + 4*b. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w - 10 + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -34. Let b(p) = 5*p**2 - 2. Let j(l) = -66*l**2 + 27. Let n(r) = 27*b(r) + 2*j(r). Let z(c) = -39*c**2. Determine w*n(u) - 2*z(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 + -20 - (30 - -21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 9*y**2 + 4*y - 10. Let u be c(7). Suppose 29*s - 20 = 24*s. Suppose -3*m = -v + 23 + 30, -2*v = s*m - u. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 60*z + 672. Suppose 0 = -11*c + 2*n + 159, -5*c - 5*n + 13 = -77. Give a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**6\/12 - 5*c**4\/24 - 10*c**2. What is the second derivative of o(v) wrt v?\nAnswer: -60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33024?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -17, -63, -159, -323, -573, -927?\n\"Answer: -3*i**3 - 7*i**2 - 4*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 + 10*d + 4. Let q be j(10). Let t(x) = 2*x**2 - 3*x + 2. Let m(o) = o - 1. Determine q*m(b) + t(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1548276660?\nAnswer: 2, 3, 5, 7, 409597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -18345145\nAnswer: 5503543.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 2*h + 2. Let z be g(0). Suppose 0 = z*r + 5*d - 200, -262 = -3*r + d + 55. Does 35 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 139009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 2*w + 8 + 1\/20*w**5 + 1\/6*w**4 + 1\/6*w**3. Give n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*h + 21 = 0. Let b = h - -7. Suppose -2*g = 3*f - 10, b = -g + f - 10 + 25. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*k - 5, -2*j - 2*k + 104 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*s - 635 = -92*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2 + 25*m + 12. Let s be c(-12). Let n(q) = -3*q - 2. Let x be n(s). Put 13, -3, x in increasing order.\nAnswer: -3, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 364464, 364716, 364968, 365220, 365472?\nAnswer: 365724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2032 + 9*l + 13*l - 3*l - 21*l - 4*l + 2032.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/7)\/b)**35*(b\/(b**(2\/3)*b))**(-1\/37) assuming b is positive.\nAnswer: b**(-2773\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 (base 12) in base 4?\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 49931582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -0.4  (c) 1\/5  (d) -366  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 0, -4, -1\/5, 14, -20 in decreasing order.\nAnswer: 14, 3\/2, 0, -1\/5, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*b = q - 290, 70 = b - 5*q. Suppose 1 = -8*f + 17. Suppose -5*i + 3*y = -b + 9, f*y - 60 = -4*i. Solve 5*x = i - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of r**3\/3 - 11*r**2\/2 - 5*r. Let d be s(10). Suppose n + 3 - d = 0. What is the least common multiple of 20 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 741 is divided by 655?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3 + 6*i**2 - i**3 + 3*i + 0*i**3 - 17*i + 8*i. Give q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - o + 1. Let v(i) be the third derivative of -i**4\/12 + i**3\/3 - i**2 - 12*i. Suppose -4*z + 2*z + 2 = 0. What is z*v(a) - 2*l(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1465 by -75259.\nAnswer: -1465\/75259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**3\/3 - 5*k**2 + 16*k\/3 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2836686.\nAnswer: 2, 3, 31, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3127010 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 + 16\/(112\/91). Solve -1610*l = -1607*l + p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z + 1259 = -1779. Differentiate -279 - 152*v**4 + 54*v**4 - 46*v**4 - z*v**4 + 22*v**4 wrt v.\nAnswer: -880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 35\/(-2))*(-85)\/5100*40?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)*c**4\/c*c*c**(2\/3)*c*c**(1\/3)*c)\/((c**1*c**(-3))\/(c**(-2\/7))**(-20)) assuming c is positive.\nAnswer: c**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 1 = -2*s - 3, 4*s = -2*u - 14. Suppose -5*z - 3 - 10 = -2*l + 3, -4 = 2*l. Sort 6, s, 2, z.\nAnswer: z, s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -25*l**2 + 546*l + 35. Give x(22).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -7*d**2 - d + 10. Give q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*-5*(-27)\/18. Suppose -5*h - 36 = -4*m, -5*m - h + 1 + b = 0. Suppose -192 = m*x - 7*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**2 - 39*r + 647. Calculate i(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16218\/3339 - (-24)\/21. Let f = -16 + 22. Let p(o) = o**2 - 6*o + 3. Let m be p(f). Solve m*k + 0 = b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.234 - -0.034. Suppose -5 + 20 = 3*z. Suppose -4*i + z = i. What is the nearest to s in i, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20228, -81094, -182538, -324560, -507160, -730338, -994094?\n\"Answer: -20289*w**2 + w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 11) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 112*m**2 - 126 + 126 + (0*m + m + 2*m)*(0*m + m + 2*m) + (-m + 1 - 1)*(2*m - 4*m + 0*m).\nAnswer: 123*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 2. Let y(j) = -3. Let b(n) = 3*r(n) + 2*y(n). Let c(p) = 2*p**2. Determine b(c(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = a + 7, -d + 3*a + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n*n*n**(-2\/11))\/n)\/n)\/(n*n*n\/n**3)*n*n\/((n**0\/n*n)\/n)*n*n**(3\/2)*n*(n*n**(5\/2))\/n*n\/n**3*(n**(2\/5))**48 assuming n is positive.\nAnswer: n**(1486\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 3. Let d be (j\/(-3))\/(4\/(-6)). What is the units digit of d - -25 - (-2 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003751516 to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -811 + 483. What is p rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 9:14 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 + 83. Suppose -z*g + 5*g = -6296. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 9\/(-7) + 2 + -1. Let i = -1 - -2. Let u be ((-3)\/6*-2)\/i. Which is the nearest to u?  (a) -1\/6  (b) -1\/5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*m = 62*m. Solve -6*g + 272 - 266 = m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from addlhdddchhldd. Give prob of picking 1 l, 2 h, and 1 d.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 914204 at least as big as 914204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/71 - 120\/781. Let w = 0.9 + -1. Let r = 2 - 2.1. Which is the closest to r?  (a) k  (b) 0.4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + 6*w**2 - w - 3. Let b be d(6). Let l be 6\/b*(-3)\/1. Let r = 2 + l. Solve 0 = r*s - 15 + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 3206192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r - 30 + 54 = 0. Solve 2*h = -4*l + 2*l, -r = 2*l + h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7836, -13409, -22722, -35775?\n\"Answer: -1870*v**2 + 37*v - 6003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 122 by -30322.\nAnswer: -61\/15161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -265, 4, 5, 0, -1, 54.\nAnswer: -265, -1, 0, 4, 5, 23, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 15 = -3*q + 2*q, -q = -2*h + 21. Let d be (-4)\/16 + 27\/h. Suppose -d*o = 4*y - 12, 8*o + 45 = 5*y + 3*o. Solve -m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 9*x**2 + x - 26. What is the units digit of b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -408 * 4\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -873.05 rounded to the nearest integer?\nAnswer: -873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(-36) + (-154)\/(-8). Suppose 56 = 3*k - s. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u**(-6)\/u))\/u**(-1\/4))\/(u\/(u*u*u*u\/((u*u**(-2\/7))\/u)))**(-33\/5))**25 assuming u is positive.\nAnswer: u**(-10105\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*j**2 + 79*j**2 - 61*j**2.\nAnswer: 129*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9142*i = -1094*i - 2789*i + 117225 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpf when three letters picked without replacement from {e: 1, z: 2, p: 1, f: 4, n: 3}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.708488 micrograms to tonnes.\nAnswer: 0.000000000006708488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -216.72118 to 0 decimal places.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1872))*-2 - ((sqrt(1872) - (0 + sqrt(1872))) + -5 + sqrt(1872)))**2.\nAnswer: -216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 2246487?\nAnswer: 8985948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -3*x - 11. Let s be o(-6). Let f(g) = -231*g - 36. Let u(c) = 115*c + 18. Let k(l) = s*u(l) + 4*f(l). What is the derivative of k(r) wrt r?\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 678987 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -28.574018 and -0.5.\nAnswer: 14.287009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -1\/50*x**5 + 0*x**2 - 1\/15*x**4 + 0*x**3 + 0 + 2\/75*x**6 - 11*x + 1\/105*x**7. Suppose v(k) = 0. What is k?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-824)\/68 - 54\/(-459))*2\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 3:48 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102.5*25817.\nAnswer: -2646242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -45538 + 30?\nAnswer: -45508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 + 10*u**2 - u + 27. Let g be k(-10). Suppose 7*a - 6*a = 5*o + g, a - 53 = o. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -3*a. Suppose 5*m - 12 = 3*k, 0 = -2*k - k - 4*m - 12. Let b(n) = n - 1. Let z(x) = k*b(x) - o(x). Determine z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 12:03 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 629189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -9, 5, 0.4 in increasing order.\nAnswer: -9, -2\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 5, 0, -442\/15, 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -18*t + 2. Let c(v) = -9*v + 1. Let a be 2*1\/(-4)*-10. Let r(i) = a*c(i) - 3*o(i). Let j be r(1). Solve y + j = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - f**2)*(-4 - 3 + 4) - 4*f - 17*f**2 + 4*f.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48 + -45. Suppose -5*q = 5*r - 7*r - 411, s*q - 4*r = 255. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.04, 64, 2, -0.2, 7, 7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of 2\/3*k - 1 - 2\/9*k**3 + 0*k**2. Factor i(t).\nAnswer: -2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -3*u + 1. Suppose 0 = 8*z - 4*z. Suppose z = -5*k + k + 8. Determine t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -21951, -21948, -21945, -21942, -21939?\n\"Answer: 3*p - 21954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*a**3*z**2 + 430319*a**3*z + 2*a**3 - 985118*a**2*z**2 - a**2*z + 4*a**2 + a*z**2 + z wrt a.\nAnswer: -144*z**2 + 2581914*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k**2 + 5*k**2 - 5 + k**3 - 7*k**2 - k - 2. Let l be w(-3). Let i = -12 - l. Which is smaller: i or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -579\/2885 + 2\/2885. Which is the third smallest value?  (a) i  (b) 4  (c) 984\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/890 and -107\/5340.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1010111 (base 3) to base 11\nAnswer: -689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6 - -5.6. What is the nearest to 0.1 in k, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 60 = 3*m, -5*h = h + 4*h - 3*h + 21 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 21 = 105. Solve 0 = h - 6*a + a - y, 0 = -3*h + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 5. Let o be ((-4)\/6)\/(u\/9). What is the third derivative of -o*x**5 + x**5 + 3*x**2 - 2*x**5 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 881217.5 years to months.\nAnswer: 10574610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/920850 and -79\/408?\nAnswer: 62617800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 + 1)*(-4*h**4 - 12*h**4 - 7*h**4) + h**4 + 3*h**4 - 3*h**4 to the form x*h**3 + j*h + w + z*h**2 + b*h**4 and give b.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 822575 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/3*(-10)\/7*16\/80*-5.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 43644 * -0.1\nAnswer: -4364.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.538 + -11.438. Which is the nearest to -1.2?  (a) 1  (b) -3\/8  (c) r  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*n - 12*n + 704. What is the remainder when 85 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4*(-12)\/2. Let u(b) be the third derivative of -11*b**5\/60 - 7*b**4\/24 + 3*b**3\/2 + 12*b**2. Let q(x) = -6*x**2 - 4*x + 5. Calculate a*u(r) + 5*q(r).\nAnswer: 3*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(343)*2 + (sqrt(7) + 1 + sqrt(28))**2.\nAnswer: 20*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + sqrt(1053)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**3 - 5*g**4 + g**3 + 3*g**3 + 4*g**4 - 5*g**4 + 6*g**4 + (-5*g**3 + 2*g**3 + g**3)*(-2*g + 0*g - g).\nAnswer: 6*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 17 = 6*j - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 5:08 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13267 * -2.4.\nAnswer: -31840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*s**3 + 2*s**3 + 5*s**3)*(-15*s + 155 - 313 + 161 + 147*s) to the form z*s**2 + g*s + h*s**4 + i*s**3 + d and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 73*l + 1265. Let z be a(28). Solve -n - 12 = -u - u, 0 = 4*u + z*n + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + (1886\/(-483) - 4\/42). Let u(t) = -t**3 + 5*t**2 - 4*t + 1. Let m be u(4). Let c(b) = -b**2 - m - 1 - 4*b + 0*b. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-7))\/(93\/((-2046)\/55)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -7. Let s be (b*1)\/(12 + -11). Is (1607\/5 - s) + (-18)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36549899.\nAnswer: 31, 263, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -7*u**2. Suppose -r + 19 = -6*g + 3*g, -3*g + 83 = 2*r. Let f(o) = 7*o + 3. Let m(s) = 40*s + 17. Let h(z) = r*f(z) - 6*m(z). Calculate l(h(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 45054 and -4.\nAnswer: 45050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2\/2 + 3122955*m\/2.\nAnswer: 3*m*(m + 1040985)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-9)\/21 - (-1416)\/21 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1795 is divided by 295?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-0.02.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 21*j**2 + 14*j + 9. Is g(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.5 - 3. Let n = 0.016 - -0.044. Let s = 1.4 + 1.6. Which is the third smallest value?  (a) n  (b) o  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8123883 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**2\/3 + 4*a\/3 = 0. Calculate a.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 3*i = 699, 152 - 436 = 2*p - i. Let w = p - -133. Let u be 6 - -8*4\/w. Sort 6\/11, -1\/2, u.\nAnswer: -1\/2, 6\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4083943 less than 449?\nAnswer: -4083494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (171\/228)\/(162\/(-24))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 64896735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 37\/7 - 50\/70*7. Suppose 0 = -4*q + 4*m + 4, -3*m = -5*q - 0*m + 1. Which is the smallest value?  (a) q  (b) w  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 15*h + 4. Let z = 48 + -46. Let k(q) = -14*q - 3. Let n(x) = z*v(x) + 3*k(x). Find the first derivative of n(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 436\/22 - 8\/(-44). Suppose -10*a + 6*a = -p. Solve -a*c + k - 5 = 0, 2*c - 3*c + k = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/5 + 16*b**3\/5 + 12*b**2 = 0. Calculate b.\nAnswer: -10, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2264 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 13349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, t: 2, l: 1, c: 3, y: 1, f: 4}. What is prob of sequence ftft?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8413924 - 2452*s**3 + 8413924.\nAnswer: -2452*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1989 divided by 153606.\nAnswer: -663\/51202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**5 - 343*i**4 - 86040*i**3 - 4236300*i**2.\nAnswer: i**2*(i - 523)*(i + 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 - -0.2. Let x = -0.3 + d. Let p be (-132)\/315 + 4\/14 + (-317)\/1585. Which is the nearest to x?  (a) -1  (b) 0.5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -52 + 53. Let x(y) = 4*y**2 + 3*y - 2. Let r be x(v). Suppose 4*k = -r*z + 1550, -4*k = 3*z - 0*k - 922. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 388545492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 28450.432036 less than -1883?\nAnswer: -30333.432036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 9*b**2 + 21*b + 12. Calculate c(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - 4*k**2 - 12*k + 7. Let c be r(6). Suppose 12 = -3*i + 7*i. Suppose 2*o - 10 + 0 = 0. Solve -i*n = o + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 42*d**3\/5 - 50*d**2 + 324*d\/5 + 16\/5 = 0. What is d?\nAnswer: -1\/21, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 344 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50044 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -382\/113 - -70820\/22487. Let p = 149669\/56 + -21355\/8. What is the common denominator of p and y?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6 + 2)*(-21)\/4. Suppose 0*r - 36 = -2*r - 2*x, r + 2*x - w = 0. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*(sqrt(68) + (2*sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68)))\/(sqrt(48)\/(1*(sqrt(12) + sqrt(12)*2))).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15.349 + 15.4. Let x = -1.949 - u. Let p = -177\/4 + 44. Sort p, x, 0 in descending order.\nAnswer: 0, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.019, -6, 3?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 312 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72736 = -5*j + 72686 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -n**6\/120 + n**5\/12 + 5*n**4\/12 - 4*n**3\/3 - 15*n**2\/2 + 1. Let c(a) be the second derivative of g(a). Calculate c(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 5*i = 89, 4*h + 0*i - 101 = i. Suppose -7*r - 4*q = -2*r + 1, -5*q - h = -2*r. Let x be ((-3)\/117*-6)\/r. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjdasbbanssdabjajsda. Give prob of picking 2 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6199 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**2 - 10*w - 102. Let v be o(-6). Calculate the greatest common factor of v and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 215238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2 = 0, -u - m + 3209 = 453. Suppose u + 3060 = -3*z. What is the hundreds digit of z\/(-18) + -2 + (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 3*s - 8, -2*s - 4 = -2*n - 14. Suppose -s*k = g - 0*g - 51, 2*g = 2*k - 38. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/9  (b) 5  (c) -11  (d) -1\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -5*q + 8 - 18, -w - 6 = -q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 110\/(-4)*(5 - 7). Let z = 11 - -22. Suppose -11*f = -8*f - z. Calculate the highest common factor of s and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 97847869 divided by 119.\nAnswer: 822251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5342421 and 3381.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 10 = -2*s, 4*o = 4*s - 0*o - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12031 (base 4) in base 14?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 6:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((16\/4)\/8)\/((-11)\/154).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -37*g**3 - 5*g**2 - 12*g - 11. Let d(n) = 37*n**3 + 5*n**2 + 14*n + 13. Give -5*d(i) - 6*w(i).\nAnswer: 37*i**3 + 5*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 0 + 6\/1. Suppose -m - 1 = -3*x. Solve 3*r + 2*j + 1 = x, 5 = 4*r + 5*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y**3 + 73*y**3 + 3*y**3)*(-2 - 4*y**2 + 3*y**2 + 3*y**2).\nAnswer: 164*y**5 - 164*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45052644, 90105290, 135157936, 180210582, 225263228?\nAnswer: 270315874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.555325 rounded to two decimal places?\nAnswer: 2.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = -2*u + 33 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 229292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/2 + -22)*-24. Let m = b - 292. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.37359 rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17773803737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = f + 2, -5*a + 3 + 3 = -3*f. Let r = -0.2 - -0.2. What is the nearest to a in r, -2\/21, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**2 + 3*j**2 - 16*j**3 - j**2.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.5, -0.2, 0.183.\nAnswer: -0.2, 0.183, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1645 or 103724\/63?\nAnswer: 1645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 56\/12*(-18)\/(-21)*55. Solve -p + 36 = 46*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 + -8 + 375\/(-63))*(-10)\/5.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -15*l. Let c be r(-2). Suppose 0 = 4*x - j - 9, -4*j + c = 5*x + j. Find the third derivative of 3*p**2 - 4*p**3 + 0*p**3 + p**x wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3455 divide 7416452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 4*k = k + 7, 0 = 2*b + k - 5. Put b, 5, 3 in decreasing order.\nAnswer: 5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -789 - 809 + 40*p**2 + 1598.\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 5*z**2\/2 - 135385*z\/4 - 67695\/4 = 0.\nAnswer: -1\/2, 13539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 1484, 1, 5, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, f: 2, l: 2}. What is prob of sequence qf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.046 - -0.046. Let z = 2 - 3. What is the closest to -0.1 in 0.2, z, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 639 by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12 - -1a57?\nAnswer: 1a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65601 - 38219 = 2083*h - 135092 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -177426 less than 1.5?\nAnswer: 177427.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 7*l + 2. Let t be p(1). Suppose -3*q + t = -6*q. Let a = 0.2 - 0.7. What is the third biggest value in a, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 12*s - 4. Let p be x(-11). Let o be 7 + (-5)\/(p\/6). Let g = o + -7. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156906\/2274*5\/((-30)\/(-4)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 186\/(-310) - (-26)\/10. Solve -5*o + 15 = -q, -4*q + 0*o - 24 = -n*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1166.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 2\/19, -180135, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - ((-6 + 10 + 16 - 7) + -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-198)\/(253\/(-23))*(9\/(-3))\/30?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2666*f**3 + 3*f**2 - 10*f**4 - 3*f - 3 + f**2 - 5328*f**3 + 0 + 2660*f**3 to the form l*f**2 + m + h*f**4 + r*f + v*f**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.7331 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 670, 967, 1264, 1561, 1858, 2155?\nAnswer: 2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 4*c - c - 15, -15 = -5*i. Suppose 4*o - c - 27 = 0. Solve 3*r + o - 3 = -5*f, 4*r - 2*f + 14 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -200797*a**4 + 3 - 2*a**3 - 3602*a**2 - 4 + 200800*a**4 to the form s*a**2 + w*a**3 + y*a + t + d*a**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((c**2 - 5*c**2 + 3*c**2)*(5 - 5 + c) - 2*c**3 - 3*c**2 + 3*c**2 + 2*c**3 - c**3 + c**3 + 3*c**3 - c**3 - 3*c**3)*(-2 + 3*c + 2).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -8. Suppose -2*q = -n + 3, v*n - 6*n + 5*q + 9 = 0. Let z(c) = -3*c**2 + 4*c**2 - 4*c + 0 + 2. Give z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -11*z. Let c(t) = -t + 760. What is c(q(j))?\nAnswer: 11*j + 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 25 = 2*a, -1 = 5*t - 16. Suppose -1 = 5*r - 26, a*b = -2*r + 1160. Is 34 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 130026, 521797, 1174750, 2088885?\n\"Answer: 130591*f**2 - 2*f - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -2*a**4\/5 - 710*a**3 + 71694*a**2\/5 - 190202*a\/5 + 24412 = 0.\nAnswer: -1795, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2632 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357*f - 5757 - 6339 = -233*f + 302*f for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 645.87 + -646. Let h(s) = 48*s + 1. Let f be h(1). Let q be (-7)\/f*(-2)\/(-1). Which is the second smallest value?  (a) q  (b) 5  (c) j  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 232 + 85 = -31 + 14 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l - 3. Let a be w(-5). Let o(k) = 3 - 61897*k**2 + 1 - 5*k + 524396*k**a + 2*k. Let f be o(-4). What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 8 = 0, 4*o = 166*g - 163*g + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z + 20 - 10 - 8)*(-1 + 0 - 2).\nAnswer: -12*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/((99\/12)\/(-11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -41 - ((37 - 0 - 21) + 0).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 1 + 4 = 0. Suppose 5*p = -25, 4*s + 4*p + 11 = -m. Factor -2*h - 15*h**2 + 12*h - 10*h**2 - s.\nAnswer: -(5*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1836 divided by -68\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 - 21. Suppose 3*m - 99 = v, 3*m - 5*v + 40 - 139 = k. What is the greatest common divisor of m and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 d when three letters picked without replacement from {v: 2, o: 3, d: 10, c: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - ((-49)\/(-10) + (-5)\/10). Which is the fourth biggest value?  (a) -1  (b) u  (c) -0.2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 110669\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -15*h - 42. Let z be l(-4). What is the highest common divisor of 30 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 26*j + 4. Let q(i) = 13*i + 2. Calculate -4*b(v) + 9*q(v).\nAnswer: 13*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -94*l**2 + 469*l + 12. Calculate a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5932, 9180, 12372, 15514, 18612, 21672?\n\"Answer: r**3 - 34*r**2 + 3343*r + 2622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (1 - (-10 + 1)\/1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 361*b - 350*b + 33 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*r + 368 = 1898. What is the highest common divisor of 45 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0159362 - 0.0158. Round q to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1146420 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14.13 + -0.13. Let f = 14.52 - h. Let v = -0.02 + f. Which is the biggest value?  (a) v  (b) -2\/3  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3168 or -415070\/131?\nAnswer: -415070\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -4*c - 16. Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 218*o + 37. Let f(l) = 40*l + 7. Let s(w) = -2*d(w) + 11*f(w). Let m = -4 + 0. Let x(y) = 1. Determine m*x(b) + s(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d**3 - 13*d**2 + 14*d - 6. Let a be s(8). Suppose -20*f = -2*f - a. What is the highest common factor of f and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 0, -4, 5, 2, -32213 in descending order.\nAnswer: 5, 3, 2, 0, -2, -4, -32213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/6, 0.09, -0.196?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d*h**2 + 53*d*h - 80*d + 2*h**2 - 2647 wrt d.\nAnswer: h**2 + 53*h - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 17518  (b) 0.3  (c) -4  (d) -2\/3  (e) 6\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -0*k + 5. Suppose -k*s = -3*s + 5*r - 116, 0 = 2*s + 3*r - 124. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9*((-20)\/(-6) + -3). What is the remainder when 80 is divided by (-342)\/(-24) + v\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 v when three letters picked without replacement from gvenz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g*g**(-3\/13)*g*g)**(5\/6)*g*(g\/((((g*g**(17\/4))\/g)\/g)\/g))\/g*g*g\/g**(-15)*g assuming g is positive.\nAnswer: g**(3233\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-14)*t)\/(t\/(t**19*t)))\/(t**22*t*t**(-19)) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72027 + 72032 - 288113 - 5*q + 72029 + 72025.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7452840 and 6210700?\nAnswer: 37264200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 608281663907 - 3*y**2 - 608281663907.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-2)\/(-30))\/(1\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 141580 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110000001 - -10011110001101?\nAnswer: 10001000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 6*b**2 + 2 + 7*b - b**2 - 8*b**2. Let p(c) = -15*c**2 + 36*c + 11. Let y(v) = 11*g(v) - 2*p(v). Find the second derivative of y(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3*(-4 + -4 + 1 + sqrt(28) + sqrt(7) + 5).\nAnswer: -9*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 413\/(-7)*(13 + 1995\/(-152)) and -1 + 0 - 41\/13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 + 475846*p - 951803*p + 475957*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(98) + -1 - (3 + -1*sqrt(2))) - (sqrt(96) + 2*sqrt(96) + sqrt(96) - sqrt(24))\/(sqrt(12) - sqrt(1452)*-1))*5*-2.\nAnswer: -80 + 995*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 4*v + 7. Let m = -33 - -49. Let n = 26 - m. Is s(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w + 13. Let x be l(6). Let m = 3 - x. Suppose -m*f = -f. Solve g = -q - 2, -4*q + f = g - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (0 - 381\/174)\/3 and -13\/12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 2 - 4. Suppose 744*r - 6 = 746*r. What is the closest to 0.1 in r, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 25, 251, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 55*j - 25. Let q(k) = -9*k + 4. Let p(w) = 4*b(w) + 25*q(w). Let l be -1 + (-2 - -4) - 1. Let x(g) = -g + 0 + l. What is x(p(u))?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x + 3750*x**2 - 9931*x**2 + 6166*x**2 + 2*x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*t = -73*t + 18 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*k + 4*q, -6 - 19 = 5*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -161330 divided by 146?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - (-4 + 8)) + (-510)\/(-7). Let t = 71 - p. Factor -1\/7*o**3 - t*o**2 + 2\/7*o + 0.\nAnswer: -o*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8 = 4. Sort g, -1, -5 in descending order.\nAnswer: g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/1968 and 143\/67896?\nAnswer: 135792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/2954700 and 82\/5025?\nAnswer: 2954700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/2 - 4410\/36. Let i = -73 - t. Suppose y - 35 = h, -2*y + i - 5 = 3*h. Solve -5*l + y = 4*w, -l + 5 = w - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -32 and -22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 2, q: 6, e: 9, b: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1303013000 (base 4) to base 9.\nAnswer: 787675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of 1\/24*b**4 + 0*b + 0 - 6*b**2 + 0*b**3. Let l(x) = -3*x**2. Determine r(l(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1, -0.3, -19\/23, -0.21, -2\/5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qegfyggeggeygeefeegg. Give prob of sequence efe.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 23, 82, 199, 404, 727, 1198?\n\"Answer: 5*s**3 - s**2 + 27*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11\/2*z - 3 + 1\/2*z**3 - 2*z**2.\nAnswer: (z - 6)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**4\/24 + 1950*r**2 - r. Let y(l) = -61*l - 16. What is j(y(z))?\nAnswer: 61*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 0*z. Suppose -5*m = 4*y - 150, -m + y + 21 = -z*y. Calculate the lowest common multiple of 20 and m.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {g: 5, p: 5, j: 3}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 11*b + 6. Let r = 0 + 0. Suppose -q + 20 - 9 = r. Let n be x(q). What is the greatest common divisor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -1685*z - 18541. Determine a(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*(sqrt(99) + 5*(sqrt(99) + sqrt(99) + ((sqrt(99) - 2*sqrt(99)) + sqrt(99))**2))*-2*6.\nAnswer: 9900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**1*z*z)\/z)**1\/(((z*z**5)\/z)\/((z*z\/z**(-2)*z)\/z)))\/((z**(-1\/6)*z\/(z\/(z**(-3)*z)))\/(z**(-5)\/z**(2\/11))) assuming z is positive.\nAnswer: z**(-133\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 7*k**2 - 6*k - 5. Let i be o(5). Solve 0*l = 3*l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8192 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8364 - -11905. Suppose g - 1055 = 4*h, 0 = 4*g - 3*h - a - 666. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 264144410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3707607*t + 6838316 wrt t?\nAnswer: -3707607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*j - 380*j = -197*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1625741 divided by 79\nAnswer: -20579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/11 + 48*y\/11.\nAnswer: -2*y*(y - 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1210212333 (base 4) to base 8.\nAnswer: -1444677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -4*m + 12. Let j be n(-5). Let z = -29 + j. Let s be 4 - (-2 + 4 + -3). Solve 0 = r - s*p - 9, 0*r = -3*r - z*p + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**4 - 2*x**4 + 0*x**4)*(-x - 3*x + 3*x) - x**5 + 0*x**5 + 2*x**5 + (-x + 3 - 3)*(x - x + 2*x**4) + (1 - 5 + 3)*(46 + 75 + 6*x**5 - 87).\nAnswer: -6*x**5 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -108  (b) 4  (c) -35\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g**2 + 122*g - 403. Let i be j(37). Suppose 4*n - 11 = u, 2*n = -2*u - 3*u - 11. Sort i, -66, -2, n.\nAnswer: -66, -2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 4*o**3 + 191*o**2 - 247*o - 70. Give i(-49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2650257812 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 - 12 - (-9 + 5). Which is the closest to 2\/13?  (a) -0.6  (b) 5  (c) -0.4  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x - 1. Let a = 0 - -3. Let o be k(a). Solve -o*q = -3*l, -5*q + 0*l - l = 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 52 - 57. Let u = -2762\/8475 - -2\/339. Let i = -22\/225 - u. Sort i, -3, 1, r in increasing order.\nAnswer: r, -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 23 - (-1)\/3*-3. Suppose -4 = 3*u - o. Calculate the remainder when 9 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0*(-1)\/1)\/2. Let c be 5 + x\/1 + 4. Suppose -5*b + 56 = u, -43 + c = -3*b - u. What is the remainder when 53 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1948407 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11641 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) -2  (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 623169805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o**2 - 2. Let u(v) = -2*v**3 - 5*v**2 - 7*v + 7. Let h(j) = 3*j**3 + 7*j**2 + 10*j - 10. Let n(q) = 5*h(q) + 7*u(q). Calculate d(k) - 2*n(k).\nAnswer: -2*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 5*v**2 + 331905*v - 1659494. Give d(5).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 + 4355*c - 4355*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 143, 286, 429, 572, 715?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*r + 9 - 9)*(-2 - 2 + 3).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 + 2*i**2 + 2*i - 3. Let y be a(2). Let v = 15 + -38. Is y smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002281891 rounded to 7 decimal places?\nAnswer: -0.0002282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/8 and -69\/1660.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d - 6 + 20 + 2*d + 3*d. Let a be v(-7). Solve a = -j - 3*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 103 + 95. Let u = 43210 + -43122. What is the highest common factor of u and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 2*p, -3*x = 4*p - 0*p. Let y(l) = 3*l**2 - 53*l - 13. Let g be y(18). Suppose -g*q = -x*i + 2*i - 3959, -3*q + i = -2371. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 5 = 7. Suppose 0 = -2*a - u + 2, -5*a = -t*a - 4*u - 14. Suppose 6 - a*v - 7 + 4*v - v**2 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -1\/18*d**4 - 1\/90*d**5 - 8*d**2 + 1\/60*d**6 + 0 + 0*d**3 + 0*d. Suppose z(a) = 0. Calculate a.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 4*w = -5*q - 25, -3*q - 2*w = -7. Sort q, 3, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -56 in 4\/17, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 23 - 25)*(-50*m - 34*m + 18*m).\nAnswer: 2508*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36.8 - 33. Let k = -0.2 - t. Let g = 2.86 + 2.14. Put -0.5, k, g in decreasing order.\nAnswer: g, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-111)\/18 - (-8 + 3). Is -1\/10 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 2*i = -17 + 35, -5*a - i = -23. Solve 0 = -a*n + 2*b + 10, 0*b - 2*b = n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.3 * 477.\nAnswer: 1097.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.38 - -0.88. What is the nearest to -2 in 0, 2, 1, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 35.5565085.\nAnswer: 142.226034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 187642?\nAnswer: 187642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f**2 + 1 - 1)*((-15 + 15 - f)*(0*f + 47*f + 28*f) + f - 4*f**2 - f) to the form r*f**4 + y + t*f + o*f**2 + b*f**3 and give r.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in -1\/4, 2, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 565536 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 12. Suppose l*x - 101 = -b, b - 4*x - 61 = 75. Suppose -2*w + b + 139 = j, -4*j = -w - 1011. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, t: 3, p: 2}. What is prob of sequence aaa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.17 + -1.83. Let q = -1142.044 - -1136. Let w = q - -0.044. Which is the second smallest value?  (a) w  (b) x  (c) -1  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102 and 53006.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -z**4\/4 + z + 4. Let p(o) = 251*o. Give p(q(v)).\nAnswer: -753*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 852, 2228, 3606, 4986, 6368?\n\"Answer: x**2 + 1373*x - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/7 + 1 + (-270)\/35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/26, 0.4, -2\/15, -1\/4 in ascending order.\nAnswer: -1\/4, -2\/15, 1\/26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2 = -4. Let m(p) = p**3 - 3*p**2 + 2. Let i be m(k). What is the greatest common factor of 18 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31397 is divided by 136.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}