diff --git "a/data/dm_maths/full_data_2/10437_11255.jsonl" "b/data/dm_maths/full_data_2/10437_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10437_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -0.2896 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 2 + (13 - 34 - 4) + 24\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose -30 = -7*l + f*l. Calculate the remainder when 23 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. List the prime factors of 22\/o*(-4 + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 686 - 1009. Let x = 560 + j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79109541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4461\/(-432) + ((-228997)\/249)\/(-89)?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 0, k + 5*l = -k - 28. Let q(c) = -3*c**2 - 5*c - 1. Let d be q(k). Let s = 29 + d. Which is greater: s or -10\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 5b?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8473\/14539 + 1\/469. Let u = 224\/279 + m. What is the closest to 1 in 1, -1\/3, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(3*1\/(-4)). Differentiate -36 - 2*s**u - 36*s**2 - 29*s**2 with respect to s.\nAnswer: -134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.58 - -0.18. Let i = 47.9 + s. Round i to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 215*r**3 + 0*r**4 + 7*r**2 + r**4 - 216*r**3 + (0*r**3 - r**3 - 4*r**3)*(r - 1 + 1) + (4*r - 2*r**2 - 4*r)*(-2*r**2 + 3*r**2 + 0*r**2).\nAnswer: -6*r**4 - r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2223667504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 32*c. Let p(v) = -45*v. Let k(g) = -7*f(g) - 5*p(g). Let n(l) = -11*l**2 + 33*l. Give k(n(j)).\nAnswer: -11*j**2 + 33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 7*u - 4*y = -18, 0 = 3*y - 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4761.2 - 4761. Sort 0, s, -5 in descending order.\nAnswer: s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 8\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*x = 12, -x = s + 2*x - 16. What is the lowest common multiple of 18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) - sqrt(1452)*-2) + sqrt(12))\/(sqrt(8)\/sqrt(2)*2) - ((sqrt(384)\/(sqrt(24)\/sqrt(3)))\/sqrt(4))**2.\nAnswer: -12 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 16*u**2 - 16*u - 8. What is l(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 73, 107, 139?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 + 11*p - 2. Determine s(-4).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36309 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1045)\/(-475))\/((-14)\/10) + 2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - a - 3*a)*(-43 + 42*a + 43) - 5*a**2 - 30*a**2 - 47*a**2 to x*a + s + c*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c + 4*c**2 + 5*c - 8*c**2 wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-117) - (-6)\/(-27). Suppose 3*l - l + 2*v = -4, -3*v = 4*l + 13. Let m be 594\/126 - 2*1\/l. Which is the nearest to 1\/4? (a) m (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12898523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -30303000?\nAnswer: -30302323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1040 and 1\/1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49645398 by 6.\nAnswer: 8274233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u - 6*u - 540. Let d be u\/(4\/(-15)*(-27)\/(-48)). Calculate the highest common factor of 80 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18977, 1\/5, 0.1, -22 in decreasing order.\nAnswer: 1\/5, 0.1, -22, -18977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + -8 + 17 + -52.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160\/30*(-12)\/(-16). Is 13 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:32 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/4)*u*u**4*u)\/(u**(2\/5))**(-14))**(2\/81))**(-2) assuming u is positive.\nAnswer: u**(-79\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7 + 5*f - 10 + f**2 - 6. What are the prime factors of m(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33176?\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - 2*sqrt(76))*-4 - sqrt(76) - 2*sqrt(76)*-1)\/((sqrt(4) - sqrt(16)\/sqrt(64)) + sqrt(4) - sqrt(44)\/(sqrt(22)\/sqrt(2))) + 3)**2.\nAnswer: 40*sqrt(19) + 7681\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.98 - -0.38. Let z = -5 - o. Which is the closest to -2\/7? (a) 0.2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1\/6, -0.5 in ascending order.\nAnswer: -5, -0.5, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1235*t**3 + 5*t**2 + 10*t. Let z be v(-9). Round z to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 5*d - 5, 0 = u - 3*d + 1. Let j be -2 - -2 - (-8)\/u. Suppose -j*h + 233 = -43. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*b - 4, -4*v + 11 = -0*b - b. Solve 2\/5 + 2\/5*d**v + 4\/5*d = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 37*s + 93. Let z(f) = 2*f**2 + f - 1. Let a(k) = n(k) - 2*z(k). Differentiate a(y) wrt y.\nAnswer: -4*y + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70009669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.354 (b) 75959\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -723 + 3083. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 - 1013*j\/3 = 0.\nAnswer: 0, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2. Let w(l) = 8*l**2 - 7*l + 7. Let y(v) = -7*v**2 + 6*v - 6. Let k(j) = -6*w(j) - 7*y(j). Calculate a(k(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 4*o + 67 = 867*j - 863*j, j = 24*o + 133 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 40*w - 39*w + 35 - 22. Give u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3\/7 + 2721*u**2\/7 + 93384*u\/7 - 304560\/7 = 0.\nAnswer: -36, 3, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 57*k**6\/40 - 151*k**5\/6 + k**2 - 4*k. What is the third derivative of j(t) wrt t?\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 290.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -73, 1, 145, -2, -5 in increasing order.\nAnswer: -73, -5, -2, 0, 1, 2, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 68*z + 71*z = -25659, -15375 = -3*k - 5*z. List the prime factors of k.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(140)\/sqrt(5)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48810 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 4194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -441, -435, -429, -423, -417?\n\"Answer: 6*x - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*m + 127 + 217, 3*f - 298 = -5*m. What is the least common multiple of f and 63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*h + 4*y, -y + 4*y = 2*h + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.2 and 71.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 + -0.5.\nAnswer: -142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-126)\/(-126))\/(2\/(-2)))\/(2\/(-56))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a. Let q be c(-2). Factor 3*j**3 - 1 - 3*j**3 - j**3 + 0*j + j**q + j.\nAnswer: -(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4308, -5, 4 in ascending order.\nAnswer: -5, -1.4308, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-1))\/(22\/22))\/((-4)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) - sqrt(114)*-2*-4))\/(-1*sqrt(96)*2).\nAnswer: -35*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -0.0406.\nAnswer: 0.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.2 + 58.47. Let n = 514.73 + v. Let b = -506.00231 + n. Round b to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -299121, -297248, -295375?\n\"Answer: 1873*z - 300994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (94\/(-3))\/(10\/15). Let l = i + 83. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 7*b + 5*b)*(354*b**3 + 666*b**3 + 5*b**3).\nAnswer: 1025*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.49 * -2.\nAnswer: 12.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b**2 + 2430*b - 467. Calculate f(142).\nAnswer: 1805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64108469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52246518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 21230.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - -2 - -5 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 24 + 4*j**2 - 24 - 2*j.\nAnswer: -j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*s**2 - 510*s**2 + 922*s**2.\nAnswer: -95*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -780000 rounded to the nearest 10000?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z + 19. Let t be 2\/((z\/(-1))\/4). Suppose 5*y - 17 = -t. Solve -y*m = k, -4*k - 2*m - 2 = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-10)*6\/(-3). Let d(z) = 2*z**2 + 11*z + 10. Let v(x) = -4*x**2 - 21*x - 19. Let b(m) = -11*d(m) - 6*v(m). Determine b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 9. Calculate a(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -50*v - 41. Let c(i) = -26*i - 22. Let k(p) = -11*c(p) + 6*g(p). What is k(3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, -2\/5, -69919?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -723 divided by 241\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512) + 1)*4 - (sqrt(512)*-1 + 4))**2 - (-4 + sqrt(512)*-3 + 2).\nAnswer: 48*sqrt(2) + 12802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(35)*-2*-5*4)\/((-1*sqrt(4536))\/(sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2))*-2 + sqrt(8))).\nAnswer: 400*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1063, -1062, -1061, -1060?\n\"Answer: q - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 553. Is l a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6637 - 18387 - 2714 = -1206*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 4*k - 23 - 4*k**2 + 15. Let t = -28 + 21. Give o(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*j, -4*j + 17 = -3. Solve -4*d + q = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -1\/6, 23, 14, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500705, -500897, -501089, -501281, -501473?\nAnswer: -501665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-4))**(3\/11)\/(k*k**(-2\/29)*k*k*k\/(k*k\/k**8)*k) assuming k is positive.\nAnswer: k**(-2965\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/((j**6*j*j)\/j))**48*j**(1\/3)*j*(j*j**(-3))\/j)**(-5) assuming j is positive.\nAnswer: j**(2905\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(((k\/(k**(-1\/4)\/k)*k)\/k*k)\/k))\/k)\/k*k*k*k**1*k**(2\/17)\/(k**5*k))\/((k\/(k*k**(-2\/3)\/k))**(-7)*(k**0\/k)**(9\/8)) assuming k is positive.\nAnswer: k**(2717\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18916 - 3428 = -8*j. What is j rounded to the nearest ten?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 69.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -23.6 and -1.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)**(-17)*(h*h**(-4\/5)\/h)\/h*h**(-6)\/h assuming h is positive.\nAnswer: h**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101420 and 152130?\nAnswer: 304260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 494166410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*p - 3953192 = 5449857. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(4\/4)\/(-3). Let z(d) be the third derivative of -d**4\/24 - d**3\/6 - d**2. Let f be z(m). Solve 2*p = -3*r - 2*r - 2, f = 5*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386253186 a multiple of 6467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6cafc + 5?\nAnswer: 6cb01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684856065.\nAnswer: 5, 59, 9101207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(1\/(-2049)). Let g = q - -17077\/25. Let y = 53\/42 + 5\/21. Which is the nearest to -1? (a) 0.3 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 19 = -4*x + w, -5*x = w - 29. Let n = x + 0. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -11 (c) -25\/9 (d) 3 (e) -57\/2 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 949*k**2 + 2*k + 1546. Let j(z) = 2*z**3 + 1897*z**2 + 4*z + 3096. Let d(l) = -4*j(l) + 7*r(l). Find the second derivative of d(t) wrt t.\nAnswer: -6*t - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 707823? (a) -4 (b) 5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432) - (-2 + sqrt(432))) - (4 + sqrt(270)\/sqrt(10)).\nAnswer: -3*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -5, 0.2, 0 in ascending order.\nAnswer: -28, -5, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 5502.\nAnswer: 27510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-4) + -7 - ((-12)\/4 + -11). What is the greatest common factor of d and 5505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 32 + 22. Is -10 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020011001 + 1?\nAnswer: -1020011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**2 + 16*a + 102. Give h(-5).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - 46a1?\nAnswer: -46b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89, 99, 123, 167, 237?\n\"Answer: o**3 + o**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14135977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*p + 12 - 1 = 0, l = 4*p + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 15 = p, 0 = -4*p + j. Let h = 18 - 11. Calculate the remainder when 36 - (p - (-14 - -6)) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (2 + sqrt(13))*6)**2.\nAnswer: 96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50944, 102586, 154226, 205864, 257500, 309134?\nAnswer: 360766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 24590*d + 1942617. What is z(-79)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 1:33 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4*t**2 - 2240*i**3*t**2 - 8*i*t**2 - 101*i + 2*t**2 wrt i?\nAnswer: 24*i**2*t**2 - 13440*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.001 - 7.801. Let f = -11899.2 + 11907.00094. Let j = f + x. Round j to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17711*d**2 + 19557*d + 2 wrt d.\nAnswer: -35422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 151751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**1\/m))**10\/((m\/(m*m**17)*m)\/m*m*m**(-4\/11)*m*m) assuming m is positive.\nAnswer: m**(158\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*(sqrt(252) + sqrt(252) + 2*sqrt(252)))\/(6*sqrt(24)\/(sqrt(54) + sqrt(6))) + 0)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 786 and 5240.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*x - 5709 = 429 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 30*t - 8 = 0. Suppose 0 = 3*q + k - 7, -t*k = q - 5*q + 6. Let u(a) = 25*a**2 - 2*a + 7. Is u(q) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-5))\/((-8)\/(-2460)). Suppose 3*a = 2*s - 258, -3*a + 0*a - 2*s - n = 0. Calculate the common denominator of -43\/16 and 4\/(-6) + 226\/a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjupcc. What is prob of picking 1 c and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 197. Suppose -3*m + 103 = 2*d - 187, -d - 4*m + 140 = p. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 409?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3)*(-3)\/2. Let j = i - 3. Let v = 11 - j. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 11*z + 24. Let f be v(9). Which is the third smallest value? (a) f (b) -4 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1322 or 1523?\nAnswer: 1322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3686870 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10336433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50597 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -31*o**2 + 13*o**2 + 11*o**2 - 6*o**2 - 7 + 12*o**2 + 13*o. What is a(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Suppose 0 = -4*h - 5*j - 31 + 130, 5*h = i*j + 133. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30916087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.322 + 324539.6.\nAnswer: 324539.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j**3 + j**3 - 1 + 3*j**3)*(4*j**2 + 3*j**2 + 2*j**2).\nAnswer: 27*j**5 + 27*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*h - 0*h. Suppose -5*o + 21 + 14 = 0. Calculate the smallest common multiple of o and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1279215, 2558425, 3837631, 5116833, 6396031, 7675225, 8954415?\nAnswer: 10233601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 89500711.9 to the nearest one million.\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-2)\/(-4)*-2). Let q be 4 - (4 - (4 + i)). Solve -v = v + q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-63))\/(-2*12\/(-1080))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*h = -246*h + 4260. What is the greatest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmww when four letters picked without replacement from {m: 4, w: 16}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 5, 3328 in decreasing order.\nAnswer: 3328, 83, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 2*r - 1. Give c(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1 - 0)*-2. Suppose -f + 2 = -0*f. What is the lowest common multiple of f and s - (-2 + -4 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let s(c) = -2*c**3 - 2*c**2 + 3*c + 2. Let o be s(-2). Let v(r) = -r. Let l(f) = o*v(f) + 3*y(f). Let b(h) = 2*h - 5*h + 4*h. What is b(l(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128789, -128799, -128807, -128813, -128817?\n\"Answer: u**2 - 13*u - 128777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628 = 7*k + 1607 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5 - 3.5. Which is the second smallest value? (a) -1 (b) g (c) -5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 410 = 0. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:13 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10953*k + 98568. Determine s(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 - 2427540*o + 7282575 = 0. What is o?\nAnswer: 3, 485505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75920 and 2756?\nAnswer: 4023760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1076, -1024, -934, -806, -640?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9224184?\nAnswer: 2, 3, 467, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -106*x. Let l(o) = 107*o + 198. Give l(n(k)).\nAnswer: -11342*k + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110566 = 548*j - 67822 for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deea when four letters picked without replacement from {a: 2, i: 5, e: 3, b: 1, d: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15, 3\/20254, 1, -0.5 in ascending order.\nAnswer: -0.5, 3\/20254, 1\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 5. Suppose -32 = 4*t + 5*v, 0 = -4*t - 166*v + 163*v - 24. Let b(j) = -j + 1. Give t*b(o) - h(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.08 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -4, -0.4, -1.2, -1.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 5. Let x = 53 - 70. Let k(f) = 8*f + 14. Calculate x*l(y) + 6*k(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472540363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 - -1000110?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3)\/6*(-100)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 796345, 796344, 796343, 796342, 796341, 796340?\n\"Answer: -o + 796346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1426*f**4 - 23101.\nAnswer: -5704*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5889)\/(-15) - 4\/(-10). Suppose 4*s - 2*s + 3*y = 772, 0 = -s + 2*y + o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -383\/179836?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.2 (c) -3 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 116. Find the second derivative of -28*k + p - 89*k**2 + 0 + 168*k**2 + 3 + k wrt k.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54548?\nAnswer: 2, 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = f. Let l(j) = -13*j + 7*j + 3*j. Let b be l(-1). Solve 0 = -f*o + b*u - 9, -4*o + 4*u - 17 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -27. Solve -2*p - 8 = 3*h, 3*h + h + 10 = -i*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 6. Determine t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22308\/7 - -3193. Calculate the common denominator of 18\/7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*f - 1647 + 1644 = 0, -d = -5*f + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**8\/8400 - 2*o**7\/1575 + o**6\/225 + o**4\/4 - 6*o**2. Let v(n) be the second derivative of x(n). Factor v(w).\nAnswer: 4*w*(w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 8:03 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 - 14580*d\/7 + 116896\/7.\nAnswer: -4*(d - 8)*(d + 3653)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 19923081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 0*d + 4*d + 2*d + 6. Let h be (-15 - -1) + 204 + -200. Give j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 851\/3 (c) 5 (d) 1\/8 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u + 6. Give j(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -13*l**8\/14 + 11*l**4 + l**3\/3 + 193*l**2. Find the second derivative of d(a) wrt a.\nAnswer: -6240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, -49, -238, -609, -1222, -2137, -3414, -5113?\n\"Answer: -10*w**3 - w**2 + 6*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 1000554.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - 20\/630*7. Let a(b) be the second derivative of -3\/2*b**2 - 3\/20*b**5 + 1\/2*b**3 + r + 1\/4*b**4 + b. What is u in a(u) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 979 and 4005?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 - 2. Let k be c(-2). Suppose w + 2*w + 5*u = 2, -5*w + u = -k. Let r(q) = 3*q - 3. What is the units digit of r(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 26, -4, -3 in ascending order.\nAnswer: -4, -3, -1, 15, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2852 and 2116?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + (-5 - -5) - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 53 + 31 = 0. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 39, -9.\nAnswer: -9, 0, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(2\/(8\/6)). Suppose -83 = -3*n - 2*h, -f*n - 2*h = 2*n - 108. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:16 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2071 divided by 2071\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 2*y**3 + 0*y**3 - y**3 + 0*y**3 + 3*y**3 + (y**2 - 3*y**2 - y**2)*(10 - 10 - 4*y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814238 is divided by 360?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 3\/(-2))\/(455\/20 - 23). Solve 36\/5 - 84\/5*g + 1\/5*g**4 - 14\/5*g**3 + 61\/5*g**z = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 14. Let q be m(-7). Suppose -i + 0*r + 55 = -r, 4*i - 5*r - 216 = q. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -2.1. Let a = 2468 + -2423. Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6313, 6515, 6959, 7735, 8933, 10643?\n\"Answer: 15*p**3 + 31*p**2 + 4*p + 6263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42204 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*x - 489, 2*f + 646 = 6*f + 2*x. Let h be 12\/(-9) + f\/12. Let j(z) = -z + 41. What is the units digit of j(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n + 2. Let l be s(9). Suppose 37 = 3*h - l. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 56, 87, 126, 173?\n\"Answer: 4*x**2 + 11*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-4*u**3 + 7*u**3 - 2*u**4 - 17*u**3).\nAnswer: 2*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x. Suppose -8 = -2*y - x*y. Let c be 4\/(-14) - (-1482)\/91. Calculate the greatest common factor of y and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 != -0.0458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3)*(-3)\/114*-19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/14733 and -56\/54021.\nAnswer: 162063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/391755 and -4\/1353?\nAnswer: 4309305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a + 12 = 0. Suppose -a*q + 88 = q. Suppose -3*g + 40 = -g. What is the lowest common multiple of g and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 + 10*c - 16. Is f(6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:43 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8399, -8680, -8961?\n\"Answer: -281*s - 8118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61979, -61898, -61803, -61688, -61547, -61374?\n\"Answer: v**3 + v**2 + 71*v - 62052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -0.01 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 226815460 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1110683918629 and 1.\nAnswer: -1110683918628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - (-27 - -18)) + 3 - (-6 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g. Let b = -0.5 - -0.6. Sort -3\/4, b, g in decreasing order.\nAnswer: b, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2\/2 - 12*i - 243. Let b be c(8). Is b greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198.091 + 0.091. Let a = d - -171.1. Round a to zero decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55042830 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1378 + 2095. Suppose 3*f = -o + 239, w = 2*o + o + 3*f. Suppose o = -z + 945. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 7 - 11 + 16 - u**2)*(2*u**2 - 5*u**2 + 0*u**2).\nAnswer: 3*u**4 - 3*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773501642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/(2920\/240)*7\/(-308)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-9)\/(108\/(-8)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4 = -6. Let f(x) = x**2 - 7*x + 7. Let j be f(6). Let u be (-1 - -2)\/j*0. Solve 3*z - 5 = d + 2, q*z + 5*d + 18 = u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -2, 60, 210, 484, 918?\n\"Answer: 6*t**3 - 10*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 11*z + 13. Let c be o(-10). Suppose c = 2*a - a. What is the units digit of ((-4)\/(-10))\/(a\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 7*o + 0*o to z*o + v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 5758.835.\nAnswer: -138212.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 742\/(-4)*(4\/(-7))\/1. Let z = h - 55. Calculate the highest common divisor of z and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let m(l) = -3*l**2 + l - 2. Let p be m(0). Let v(o) = 3*o**2 - 2*o. Determine p*n(c) + v(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -61, -113, -179, -265, -377?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Let y(d) = 52*d**2 - 80*d. What is y(h(v))?\nAnswer: 208*v**2 + 160*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -50, -14396, 4 in increasing order.\nAnswer: -14396, -50, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*o**3 - 4*o**3 + 30*o**3 - 2 + 11*o**4 to the form h*o + q*o**3 + v*o**2 + w*o**4 + y and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, d: 4, g: 8, b: 2}. What is prob of picking 1 d and 2 g?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632090592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - x - 5*x**2 + x**3 + 5 + 0. Let c be k(6). Suppose -n + 0*a = -3*a, c = 4*n + 5*a. Solve n*h = -4*f + 20, 2*h = 5*f - 2*h + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(11)*-1))\/(3*(-2*sqrt(9) - sqrt(9))) - (-6*sqrt(30)*2 - sqrt(30))\/(sqrt(120)\/(sqrt(36)\/sqrt(3)) + sqrt(10)).\nAnswer: 119*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x**2 + 2*x**2 + 2 - x**2. Let h(z) = -z. Give h(g(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 10 = -2*m - 12, 327*p - 318*p - m = 67 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 26. Let d be y(15). Let l be (9 + -1 + d)\/(6\/(-4)). Which is bigger: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + z - 5. Let i(c) = -c**2 + 7*c - 6. Let j be i(5). Suppose -9*o = -j*o. Let n be w(o). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -16 - (-3 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15 - 10. Solve -5 - 7 = -3*k, -p*k = -3*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 348.4\nAnswer: -17.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -599*f. Let t(c) = 8702*c. What is v(t(r))?\nAnswer: -5212498*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 16040?\nAnswer: 16034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/5)\/(4\/(-15)). Let h(f) = 40*f - 37. What are the prime factors of h(g)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2558.14266.\nAnswer: -7674.42798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035154 (base 7) in base 2?\nAnswer: 11110111010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -54 - 166*d - 131*d - 190*d + 388*d. Let k be -4*(-1 - 125\/10). Let q(a) = -9*a - 5. Calculate k*q(x) - 5*j(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1073 - 15*p**2 - 7*p**2 - 1073.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(((f\/(f\/((f*f\/(f\/(f*f**(-3))))\/f)))\/f)\/f)\/f)\/f)**(4\/45)\/(f*f**(-1\/3))**8 assuming f is positive.\nAnswer: f**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667062.2ml to litres.\nAnswer: 667.0622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*y + 21078 = -200*y + 80878 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012111221101 - -12?\nAnswer: 12012111221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -13 + 109. Suppose 0 = c*t - 30*t - 240. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + s + 9*s - 40*s - 21*s + (4 + 1 - 2)*(2*s - s + 0*s).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 1049 = -8478. What is the greatest common divisor of b and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 95.6. Which is the nearest to 2\/5? (a) 1\/6 (b) k (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 + 83*r**2 - 182*r**2 to the form h*r**2 + f + n*r and give h.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22103 (base 6) in base 9?\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20220 (base 4) in base 6?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261692*d**3 + 357426*d - 2 wrt d.\nAnswer: -1570152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 385 = -7*t. What is the greatest common divisor of t and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397*a - 1 + 56*a + 154*a + 5 - 231*a to the form g + v*a and give v.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 992 + 2*s - 992. Let q = 0 - 2. Calculate l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, c: 1, o: 1, e: 1, u: 1}. Give prob of sequence vs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 17. Suppose 2*g - n - 2 = 0, g = -2*j + 13. Suppose -5*i - 5 = 2*d, -i - 70 = -5*d + 3*i. What is the remainder when d is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + 2*a - 4. Let x be d(4). Let i = x - -3. Suppose -12 = -22*b + 16*b. Sort i, b, 5 in descending order.\nAnswer: 5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -140*r + 5238. List the prime factors of x(0).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeeejeeee. Give prob of sequence ejj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18047?\nAnswer: 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 77*f**3 + 85*f**2 - 2*f + 6. Let a(y) = 308*y**3 + 339*y**2 - 9*y + 27. Let u(g) = -4*a(g) + 18*j(g). What is the third derivative of u(z) wrt z?\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 86853.\nAnswer: 173706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4\/7, 11253778 in decreasing order.\nAnswer: 11253778, -4\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76312 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 2, k: 1, j: 1, e: 1, a: 1}. Give prob of picking 1 l and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 828 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (15 + -7) - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11794933 and -67\/51?\nAnswer: 601541583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -0.26.\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23102112 (base 4) to base 11\nAnswer: 31808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 570812704 divided by 3\nAnswer: 570812704\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/24 + b**4\/12 + b**3\/6 - 172*b**2 - 5. Let l(t) = t + 1. Determine 2*j(x) - 2*l(x).\nAnswer: -10*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 271702555 a multiple of 865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.024 + 21.976. Let o = -24 + y. Let n be 1\/(-4) + (-2 - -2). What is the nearest to o in -2, -1, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -149 in -0.4, -3, -1262, -0.2, 1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/379 - 9635\/12128. Calculate the common denominator of 89\/38 and n.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8791 + -26?\nAnswer: 8769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*g + 13. Suppose -5*b = -4*d + 6, b + 0*b = -3*d - 5. Let t = g + b. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488780 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: Suppose 3*l + l + 36 = 0. Let g = -473.9 - -473.9. What is the fourth biggest value in l, g, 3, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-22)\/w**(-21))\/(w\/((w*w\/(w*w**3))\/w))**48 assuming w is positive.\nAnswer: w**(-193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3 - 501*t**2 + 8750*t - 27048 = 0 for t.\nAnswer: 4, 14, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -109. Let h be -2 - 2\/k*16. Let s = h - -172\/55. Which is the third smallest value? (a) 3 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18030.34 + 18030.4799991. Let w = k + -0.14. Round w to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21102 + -111110100?\nAnswer: -111201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in -4, 2\/45, -2\/13, 4, -0.12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-12 - (4 + -29)) - -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1318 + 1313. Sort -2, -19, d, 5 in decreasing order.\nAnswer: 5, -2, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 63, 15, -3 in increasing order.\nAnswer: -5, -3, 15, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -c, 4*h - 2*c - 12 = 0. Suppose 7 + h = 4*m. Factor -8 + 6*l - 2*l**2 + m*l + 0*l.\nAnswer: -2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 9*b + 18. Let l be z(10). Calculate the greatest common factor of l and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:33 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 132491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1086, 1081, 1080, 1083, 1090, 1101, 1116?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.197 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**8\/56 + x**7\/42 - 99*x**4\/4 + 135*x + 2. What is the third derivative of b(o) wrt o?\nAnswer: -120*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 108 = g. Suppose -2*s + 5 = -23. Calculate the remainder when g is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 225289, 901117, 2027489, 3604405, 5631865?\n\"Answer: 225272*o**2 + 12*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -86a0 (base 11) to base 6\nAnswer: -125100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**3 + 4*z**2 + 11*z. Let v = -11 - -5. Let k be 1\/v + (-222)\/(-36). Let b(r) = 5*r**3 + 2*r**2 + 6*r. Let x(w) = k*a(w) - 11*b(w). Factor x(g).\nAnswer: -g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:50 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-198) - (-128)\/22 - 9. Sort 0, g, -40, 2.\nAnswer: -40, g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57.97 + -59. Let n = p + 0.03. Let c = 4 + n. What is the biggest value in -4, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 48*u**4 + 106*u**3 + 48*u**2 - 104*u = 0 for u.\nAnswer: -26, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 3*j + 1. Let z be (-60)\/(-10)*(-2)\/(-6). Give w(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 306\/13*x**2 - 76\/13 + 34\/13*x + 10\/13*x**4 + 206\/13*x**3 = 0. What is x?\nAnswer: -19, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(36) + 6*sqrt(72)\/sqrt(2))\/(sqrt(48)\/sqrt(4)*-1))**2.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1874b + 1c?\nAnswer: -1872e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8509*y - 59564. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 + 282*o**2 - 4271*o + 61. What is f(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1551, -3\/25, -13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -14*p - 3. Solve 0 - 2 - 63*d**p + 61*d**3 + 2*d**4 + 2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.256844 and -6?\nAnswer: -1.541064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*w - 3*p - 1, 4*w + 2*p = 22. Let m be 442\/4 - 3\/w. Suppose -5*g + m = -35. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 41) + 12 - (-11 - (0 + -18) - -124).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:35 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 335.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/66 and 16\/3860275?\nAnswer: 254778150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 134. Suppose 2*u = k*m - 655, 0 = -5*m - u + 154 + 486. What are the prime factors of m?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 33 = -0*b. Suppose -r + 4*x + 6 = 5, -r - x + b = 0. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2915\/(-10)*(-4104)\/(-54378).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2757560 (base 9) to base 6.\nAnswer: 52244000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 484 = 99*s - 54*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2062807545 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 22*x + 135 = 0. Calculate x.\nAnswer: -27, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let a(n) = -625681*n**2 - 2*n. Give a(w(q)).\nAnswer: -625681*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/20 (b) -2 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 15906 + (-14 - -30).\nAnswer: 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -348264100 divided by 3701?\nAnswer: -94100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -2.6. Let j = 34 - 33.38. Let f = j - 0.12. Which is the biggest value? (a) -2\/7 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -375 - -375.233. Round z to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 8.958?\nAnswer: 8.958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172 - -3?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 214*u + 212*u + 6 + 0*u**2. Suppose -2*z = -3*n + 3 + 10, -z - 17 = -5*n. Calculate the remainder when 24 is divided by t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1400 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 - 1 = 0. Solve 0 = 5*b + i + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w**3 + 7710*w**2 + 1480*w + 1141085. What is t(-771)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3427384 - 0.0429.\nAnswer: 3427383.9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w - 124. Let b(q) = -2*q**2 + 392*q. What is y(b(o))?\nAnswer: 10*o**2 - 1960*o - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 10*c = -2*k - 24, 0 = -3*c - 3*k + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 2016?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11220 to the nearest one hundred.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (48 - 0)\/((-11)\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.242396 - -5?\nAnswer: 4.757604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than 20904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8768101\/380 - (726\/(-120) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 944770203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14358 - 14358.4. What is the closest to 0.2 in -0.5, x, -162, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-242190)\/1794 + (-1 - 1) + 26\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21743 and 194408?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30281818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 7*o - 4. Let m = 11 - 5. Let y be k(m). Let t be (156 - 0)\/2 + y. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 9, 3, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + (1 + (-34)\/10)\/((-20)\/200). Let s(t) = -103*t + 7. Let d be s(-5). What is the greatest common divisor of d and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**3 + 0*l**3 - 1 + 0. Let t(s) = s. Calculate n(t(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -102. Suppose m = -18*f + 20*f. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 0.2 (c) 5052107 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1662\/13 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 - 2*v + 3. Let s be n(0). Let y be 0\/((-4)\/((-8)\/(-2))*s). Let f be (3 - y) + 5\/5. Solve k + f*k + 10 = 2*b, 5*b = -2*k - 33 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-6\/13)\/(s\/s**2)**(-1\/2) assuming s is positive.\nAnswer: 1\/sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 3812844 = -124*j. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 - 3 = -5*o, -3*i = 2*o - 20. Let l be 4\/(i\/(-162)*-3). Suppose 7*h - h = 108. What is the highest common factor of l and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:56 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*255\/136?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 7. Let c be w(6). Let h be -13*c\/((-2)\/18). Suppose -6*g + 143 = 5*g. What is the highest common divisor of g and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 12 + -6 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -25 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 2*x + 5*f, x + 4*x + 3*f - 548 = 0. Let o = x + -50. Let c = -43 + o. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(13) + 1 - (-5 + sqrt(13) + 0)**2))*2.\nAnswer: -74 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5307, 10624, 15941, 21258?\n\"Answer: 5317*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (126\/15)\/(6\/75) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29941722, -29941714, -29941700, -29941680, -29941654, -29941622?\nAnswer: -29941584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeebkexcbb. Give prob of sequence eb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-128)\/18)\/(-4) - 2. Let g = 2661\/68 - 157\/4. Which is the third biggest value? (a) g (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37492 - -58123. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**2 - 9*d**2 + 10*d**6 - 3*d**6 wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*z + 29, -z - 3*z + 5*a - 33 = 0. Let p be (-4)\/30*10\/6. Let h = 534.6 + -534.6. What is the biggest value in p, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -53421, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -302*y + 4096. Calculate u(13).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (-5 - (92\/(-80) - 1)) and 21\/2224.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b, 8 = 3*s + s + b. Suppose -220 = -s*i - 2*i. Suppose 9 = -3*l, m + 0*l = 3*l + i. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - 5*a**2 - 2*a + 4*a**2 - 4 + 3. Let k be h(-1). Suppose -2 = z - k. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdze when four letters picked without replacement from rzeaerezedrdzedcr?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.2 (c) -133\/6 (d) -1\/4 (e) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54556995 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2294 - 2249 + 793 = -124*i - i for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825360 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.97. Let o = -5.97 + l. Suppose 3*x = -2*n + 15, 3*n + 15 = 3*x - n. Which is the second biggest value? (a) -0.3 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/4) - -1. Let m = -1691142 + 3957272203\/2340. Let p = m - 1\/180. Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 + 44*l**2 - 89*l - 4. Calculate the lowest common multiple of 2 and t(-16).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = -l - 3, 2*l = -4. Let j = -8 - -11. Suppose -z + j*z + 2*n - 36 = p, -3*n - 65 = -4*z. What is the greatest common factor of 85 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6916725 and 4800.\nAnswer: 442670400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128*b**2 + 37*b + 5921 wrt b.\nAnswer: 256*b + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*y - 528, 2*y - 57 - 295 = -2*p. Suppose -b + 5*b + p = 0. Let z be b\/(-6) - (-18 - -16). Which is smaller: z or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69718109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:53 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaaooa. What is prob of sequence oaoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44875945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**0)\/(q\/(q\/(q\/(q*(q\/(q\/(q*q\/((q*(q\/(q**1*q))\/q*q)\/q))*q))\/q)))))\/((q*q**(-1\/5))\/q*q*q)**(5\/3) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 6*h**2 + 2. Let x be v(6). Let g(n) be the first derivative of 3 + 0*n**x - 2\/3*n**3 + 1\/2*n**4 + 0*n. Solve g(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.255 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -6*z + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*s**6 + 45*s**2 + 6*s**6 - 10*s**2 wrt s.\nAnswer: 3840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157 or 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-123*a - 9*a - 92*a)*((-7 + 3 + 2)*(0*a + 2*a - a) + 2*a + 0*a - 3*a)*(-5 + 4 - 1) to g*a + z*a**2 + c and give z.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -3\/97853, -4\/5, -1, 0.5?\nAnswer: -3\/97853","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 257. What is q(-39)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154589, -154638, -154713, -154826, -154989, -155214?\nAnswer: -155513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 258 = -0*j. Let l(h) = h**3 - 6*h**2 - 9*h + 47. What is the remainder when j is divided by l(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -196, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8 + 24. Let m = -5 + j. Let q(g) = g**2 - 6*g + 3. Let w be q(6). Solve -w*o - m = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/3 - 5*z**2\/2 - 23*z. Calculate o(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5183.2055 + 5169.3. Let q = r - 47.0945016. Let a = 61 + q. Round a to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-49)*-14 - (0 - 10). Solve p = -7*q - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68953 + 78998 = 2901*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -698 - -874. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + z - 34 = 0, -5*p - 33*z - 38 = -35*z. Let i(m) = -28*m**3 - 7*m**2 + m - 7. Let b(h) = 27*h**3 + 6*h**2 - h + 6. Calculate p*i(t) - 7*b(t).\nAnswer: -21*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20889766*i**3 - 23927*i**2 + 292 wrt i.\nAnswer: -125338596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 40 - 35 = 0. Let x(i) = 425*i - 9756. Let a be x(23). Sort u, a, 5.\nAnswer: 5, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 4. Let p(m) = 3*m + 10. Suppose -4*s - 3*d = -8, -26*s + 28*s - 2*d - 18 = 0. Let w(l) = s*r(l) - 2*p(l). Let a(c) = 11*c**2. Calculate a(w(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/571027 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1380793388 - -0.13808. Round p to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.26 + -5.4. Let j = i + -4.63. Let w = 1.19 - j. Round w to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71833.008 or -2\/25?\nAnswer: -71833.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*d**2 - 3*d + 6394 + 5*d - 6386 - 2*d in the form t*d + l*d**2 + q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9218886 and -14?\nAnswer: 129064404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482768 by -30173.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/171915 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r - 5*m - 16, 4*r + m - 12 = 0. Suppose 0 = -4*a + r*l + 172, 2*a - 5*l = 7*a - 235. Solve -4*n + a = -5*z, 19 = -4*z - n + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times 0.08221094?\nAnswer: -0.131537504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250965 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 m be 16\/(-56) - 68\/(-42). Let f be 3*((-440)\/(-198) - (-4)\/(-3)). Determine t, given that 8\/3 + m*t - f*t**2 - 4\/3*t**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) -0.40141 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:35 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:55 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 273*w + 12536. Determine j(40).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5056 and 12640.\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmv when three letters picked without replacement from {x: 1, m: 1, v: 7, s: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 0, 2*s = s - 4*n + 3688. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2\/19, 5, -1\/6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-12)*t)\/t**(-19)*(t**1)**(1\/71) assuming t is positive.\nAnswer: t**(2344\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118874 divided by 49.\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, 76, 329, 830, 1663, 2912?\n\"Answer: 14*w**3 - 2*w**2 - 3*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.4 * 0.029.\nAnswer: 2.3896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)**26)**(-1\/5)\/(b\/(b\/(b*b**(-4\/9))*b)*(b*b**(-4))\/b)**31 assuming b is positive.\nAnswer: b**(1240\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 e when three letters picked without replacement from {u: 4, e: 2, a: 6, l: 2, w: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, -388, 0, -5 in ascending order.\nAnswer: -388, -5, 0, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + (sqrt(1584) + 2 - sqrt(1584)) + sqrt(1584) + sqrt(1584) - 2*sqrt(1584)*3))**2.\nAnswer: -96*sqrt(11) + 25345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**2*g)**(-15)\/(g**(-2\/5))**(6\/23) assuming g is positive.\nAnswer: g**(-6888\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 257. Let i = -1377\/7 - z. Suppose 7*p = -2*p + 2*p. Is i less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d. Suppose d - 32 = -2*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 5*i**2 + 2*i - 5. Let k be g(-4). Suppose -m = 2*y + 2*m - 24, 38 = k*y + 4*m. 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 j(m) = -m**3 + 5*m**2 + 8*m + 11. Is j(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-24))\/(28\/987)*20\/(5\/1).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18\/5, 26, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20*-393591\nAnswer: 7871820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from cccqdjcj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b + 115*b + r = 10, 2*r + 1 + 33 = -5*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from waawwaaaawawaaaaaaw.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 63*l**2 + 3939*l + 2046 = 0.\nAnswer: -62, -11\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 29*o - 24. Calculate z(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 484?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002264 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 343737479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(18\/21)*3. Let h = 7 + d. Solve 3*b - 24 = 4*w, -3*w - w - 2*b - 4 = h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*t**3 + 951*t**3 - 474*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172726 + -3754018?\nAnswer: -3581292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = t - 592 + 583 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19260*f**2\/11 - 3162*f\/11 - 8\/11 = 0.\nAnswer: -4\/1605, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**2\/2 + 11. Let a(w) = 1007*w + 12*w**2 - 1007*w. Give a(p(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 2 + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*t**2 + 117*t**2 - 19*t**3 - 7*t + 125*t**2 - 361*t**2.\nAnswer: -19*t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f + 92*f - 25*f - 32*f - 5.\nAnswer: 10*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -5*s**7\/14 - 904*s**6\/3 - 1201*s**5 - 1000*s**4 - 7724*s. Determine d so that a(d) = 0.\nAnswer: -600, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 2. Suppose 598 = v*s + 28. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 62*s**2. Let w(l) = -14*l. What is b(w(j))?\nAnswer: 12152*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 - -4) - ((0 - -2) + 14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:25 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*j - 4*f, 3*j - 2*j = 5*f + 10. Calculate the remainder when 86 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - 168. Let p = f + 308.3. Round p to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrwrrrrrr. Give prob of sequence rw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12568 - -113631. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1225032 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -37*s - 1622. Determine h(-44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3929009 and 9352.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (4 - 1 - 4). Let y = 1462 + 132. What is the derivative of -1594*r**2 + y*r**2 + 13 + 14*r**q wrt r?\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 131. Let v = -15 + p. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (1 + 2)\/3. Suppose 4*q = -4*d - 4, d + d = -5*q - g. Which is the third smallest value? (a) -1\/6 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204179451672407+0.08\nAnswer: 204179451672407.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:15 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 49*r - 26. Suppose h + 2*l - 10 = -0*l, h + 5*l = 10. What is the smallest common multiple of x(9) and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205293 by -68431.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.8 + -14. Let m = -1.8 + l. Sort m, 0.1, 0.3 in increasing order.\nAnswer: m, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8676)\/(-7) - 1 - (-12)\/(-28)?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuqqwrtouqwr. What is prob of sequence uto?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 41. Suppose -28*y - 24*y + 1254 = -1710. What is the lowest common multiple of y and p?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 18*g - 211. Let m be h(-9). What is the greatest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a - 3. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 - 5*f - 5. Let s be w(-5). Let t = -842 + 833. Let c = t - s. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/2652 and -1\/14586.\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 46 = -10. Calculate the remainder when 70 is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + 1. Suppose -2*x = 2*x - k. Suppose 1 = -2*h + x. Solve -2*r = 4*d - 2, 3*r + h*d = -r - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 - 14*a + 4. Let f be x(7). Solve -i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/3 - 35*f**3 - 49426*f**2\/3 + 1888364*f + 49067304 = 0.\nAnswer: -221, -22, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 13*i - 38. Let z be x(6). Let t be (-3 - 0)*5\/3. Sort 1, -1\/4, t, z in descending order.\nAnswer: z, 1, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-11 - (-9 - -15)) + -7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 47*x + 47. List the prime factors of i(-38).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 55*z**3\/3 - 26*z**2 + 7*z - 1. Differentiate t(x) with respect to x.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 11*x + 1. Let w be a(-11). What is the nearest to 0 in w, 2\/13, -2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:50 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-24) + (-1)\/((-3)\/(-4)). Let l be (-15 - -14)*(-1)\/x. Sort 7, l, 0 in decreasing order.\nAnswer: 7, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + -3*(sqrt(102) + sqrt(102)*-1) + sqrt(102))*-4)\/(sqrt(12)\/sqrt(882)).\nAnswer: -168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 101781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*w + (-4 - 2 + 3)*(-40 - 3667*w - 18 + 28 + 32).\nAnswer: 10999*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 118902535 divided by 23780507?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n**4 assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(72) - sqrt(72)*-2))\/(sqrt(8)\/sqrt(2)*2))\/(sqrt(36)\/(sqrt(4) - (sqrt(4) + -2*sqrt(4)))*-3*-6).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/143 + (-446)\/(-26). Let h(o) = -o + 19. Let y be h(j). Solve -2*x - 5*f + 2 = -5, 14 = -y*x + 2*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001230578 rounded to 5 decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11150 is divided by 1894.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174.1 + -174.1000023155. What is b rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5906?\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*h - 473*h = 6 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 2)*(-2*y - 3 + 0 + 5) to v + b*y and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*1484\/(-42). Let h = c + 65. Let s = 257 - 239. What is the least common multiple of h and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smadoxaaosasos. Give prob of sequence aasa.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1020 or -29550\/29?\nAnswer: -29550\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 12. Let r(u) = u**3 + 7*u**2 + 4*u + 3. What is the tens digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/4 + 5*n**3\/6 + n**2 + 4*n. Let r be g(4). Let x = r - 46. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987*b - 107*b + 1377*b + 850*b.\nAnswer: 3107*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761937.7 rounded to the nearest 10000?\nAnswer: 2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5203, 5213, 5237, 5281, 5351?\n\"Answer: s**3 + s**2 + 5201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434729 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 16*r**3 - 25*r**2 - 80*r - 21. Give u(-3).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 3120.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24339277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (24\/(-20))\/(9\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 + 8*g**3\/7 + 40*g**2\/7 - 96*g\/7.\nAnswer: -2*g*(g - 6)*(g - 2)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 476*c**2 + 946*c + 473. Calculate m(-236).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -908, -1363, -1818, -2273, -2728?\nAnswer: -3183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1150 and -6841?\nAnswer: -7867150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2 = -2*j - 2*j, 2*j + 4*b - 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from zhtrzfwf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11988, -11991, -11990, -11985?\nAnswer: -11976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7158948 minutes to seconds.\nAnswer: 42.953688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-54 - -2) - (-18 + (9 - -6))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141236926 divided by 1.\nAnswer: 141236926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (5 + -10 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163292958 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -38*k. Suppose a = -q + 407, 9*a + 3*q + 395 = 10*a. Let x(c) = 203 + 4*c + 201 - a. Calculate d(x(g)).\nAnswer: -152*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 232*f - 1958. What is v(10)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {c: 2, e: 2, t: 4, h: 2, m: 1, w: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480664.24659 - -0.2.\nAnswer: -480664.04659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 1 - 1. Suppose 4*j + x - 16 = h, -5 = 2*x + 3. Solve -5*n - s = 4, -j*n + 5*s - 9 = s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peuu when four letters picked without replacement from {e: 1, p: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-24))\/(-5)*1*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*g - 483 - 198 = 0, -a = 4*g - 150. What are the prime factors of a?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 + 36*z**2 + 476*z + 2360. Give s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 3*a)*(3 - 4 + 9) - 4*a + 4*a - a + 2.\nAnswer: -9*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 6 - (-99 + 87)) + 9 + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/9))**(-16) assuming g is positive.\nAnswer: g**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2090 and -0.5?\nAnswer: 2090.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 7. Suppose 7*t = 164 + 95. Calculate the remainder when t is divided by i(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866 is divided by 930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 639 = -729 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 - (-153 - -162)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236 + -354?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 4. Suppose -5*k - 23 = 2*i - 15, 0 = 5*i + 5*k + 20. Give q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -748 divided by 34.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251211564 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 180912 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h - 32. Let s = h + 36. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11271\/60)\/17 + (-27)\/(-3) + -20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 2*r + 2)*(-4 + 3 - 3).\nAnswer: -8*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205510 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + 8. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/(p*p**5\/p*p*p))\/((p*p\/(p\/p**(-5))*p)\/p**(-1)) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*t + 805 - 529 = -1800. What is the least common multiple of 980 and t?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 4002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 738842.\nAnswer: 3694210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6)\/(-1))\/((-75)\/20925*527).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1229312 and 512?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 21*o + 187. Determine y(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.552 and 2639.\nAnswer: 12012.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.3 - 108. Let k = w - 9. Which is the third biggest value? (a) 4 (b) k (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1708308 to 3 dps.\nAnswer: 3.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 - 303. Suppose 0 = -3*d + 5*l + 41, 0 = 5*l - 0 + x. Solve 2*v + 5 = 5*p, 0 = -10*p + d*p - 2*v + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(3990\/5418))\/((-6)\/10) - (-10 + 3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 + 145*m**4 - 955*m**3 - 3325*m**2 + 23520*m + 61740 = 0?\nAnswer: -3, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022201 rounded to 5 decimal places?\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.14, -0.5, -0.3, 3\/7, 1712?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9452*v + 1417809. Calculate a(150).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**2 - 42. Let s(b) be the second derivative of b**3\/6 - b. Determine r(s(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/7)\/(c\/(c\/(c**(-2\/55)*c*c)))*(c\/(c**21*c))\/(c*(c*c\/c**(-15))\/c*c*c) assuming c is positive.\nAnswer: c**(-16101\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0146 - 1.520156.\nAnswer: -1.534756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 751*f**2 - 3 + 5 + 2 - 4 to the form b*f**2 + z*f + t and give b.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-8 - -6) + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**4\/4 - 13*t**3\/3 + 6*t**2 + 4*t - 6. Let q be i(12). Calculate the greatest common divisor of 16 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 11. Let u(p) = p**2 - 10*p + 11. Let k be u(9). Calculate the highest common divisor of h and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 838 - 837.9. Let o = 0.05 + -0.25. What is the third smallest value in l, 0.09, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 10*s**2 + 10*s + 24. Calculate the remainder when c(10) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/408 and 43\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 3. Let p(v) = 4*v + 6. Let y be 1 - ((4 - 7) + -3). Give y*o(w) + 3*p(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -12. Let i(k) = k**3 - 16*k**2 - 2*k + 38. Let r be i(y). Suppose b + 0 = -r. Let w(v) = -3*v + 4. Calculate w(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5 - 74*q**4 - 372*q**3 = 0?\nAnswer: -31, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82506200 rounded to the nearest 100000?\nAnswer: 82500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77715698 <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usg. What is prob of picking 1 u and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2125, 4312, 6503, 8698, 10897?\nAnswer: 13100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*u = 10, 4*y + 5*u = -0*y + 23. Suppose 4*m + 4*w + 8 = 0, -6 = -9*m + 4*m + 3*w. Solve m = -y*r + 5 + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + c + 3 = -4*l, 3*l = -c - 2. Suppose 5*q - 35 = -5*w, 2*q + 2*q - 2*w = 40. What is the remainder when 74 is divided by (l + (-66)\/q)*-3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v + 76 = 60*v. Let i be 24885\/(-158)*v\/(-5). Calculate the greatest common divisor of i and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 753\/1191287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 5, 6 in decreasing order.\nAnswer: 6, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/85, 0.4, -1\/2?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*y - 9 = -5*k + 308*y, y - 9 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.8 and 57074.\nAnswer: 273955.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22076?\nAnswer: 2, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. What is the third derivative of -3*m**2 + m**2 - 4*m**5 + 5*m**s wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -287*z**2 - 7*z. Let l(o) = 143*o**2 + 4*o. Let r(u) = -7*l(u) - 4*q(u). Let m(t) = -2*t. Give m(r(y)).\nAnswer: -294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**4\/24 + 5*a**3\/6 - 3*a**2. Let w be h(3). Suppose c + 0*f = w*f + 23, 4*f = -c + 41. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 148*d + 323 - 2689, c + 83 = -0*c + 3*d + 130 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 + 7. Let v be z(-11). Suppose s + 2 = v. Suppose 0*g - 3*r - 234 = -3*g, 5*r - s = 0. List the prime factors of g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38307291 divided by 2937?\nAnswer: 13043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f - 16. Let d(v) = 259*v + 33154. Let h be d(-128). Let w(k) = -1. Let j(b) = -3*b. Let c(o) = -j(o) + 4*w(o). What is h*s(p) - 9*c(p)?\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*q - 69*q + 507*q - 14*q**3 - 8*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -20*b**2 - 4*b + 8. Give w(2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18390258618 and -0.5.\nAnswer: -18390258618.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 12 = -10*f. Let b be 26 + -2 + f + -3*1. Suppose q - z = b, -4*z = 3*q - q - 72. Solve -4*d = 4*i + q, -3*d = 2*i + 16 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3058707949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.5 (c) -191 (d) -0.2 (e) 516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**6\/840 - r**5\/28 + 25*r**4\/56 - 4*r**3 + 8. Let d(j) be the third derivative of x(j). Factor d(a).\nAnswer: 3*(a - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 16) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*d + 137, a + a - 93 = -3*d. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1939, 1, -1215 in increasing order.\nAnswer: -1939, -1215, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2358782395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-2*sqrt(76) + 2 + 2 + 1*(-5*(sqrt(76)*-5)**2 - sqrt(76))).\nAnswer: 12*sqrt(19) + 18992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 41963*v + 83939*v + 3*v**2 - 41962*v)*(-2*v + 0*v + v).\nAnswer: -3*v**3 - 14*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1900) - (-5 + 1*sqrt(1900))) + 4)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2038.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(t - 2*t - t)*(1 + 4 - 6) + (-74*t + 28*t - 112*t)*(-13 + 4*t + 13).\nAnswer: -628*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -63*q**5\/4 - 645*q**4 - 22047*q**3\/4 + 46389*q**2\/2 - 561*q - 2178 = 0.\nAnswer: -22, -2\/7, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 281998411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 1. Let r be t(-1). Let q = 9 - 7. Suppose -3*w = m + m - 14, 4 = q*w + r*m. Solve -f = 2 - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 = j, -13*j = -4*c - 15*j + 18. Differentiate -35 - 35*n**c - 119 + 8*n - 10*n + n wrt n.\nAnswer: -105*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2)*5)**2 + 2 + 5 + 2.\nAnswer: 800*sqrt(7) + 11309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -413, -238, 93, 586, 1247, 2082?\n\"Answer: c**3 + 72*c**2 - 48*c - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 163. Let x = l + 402. Is x a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 2*v + 2. Suppose 2 = -4*t - 2, -t = -3*k - 53. What is the remainder when n(2) is divided by (3 + k)*(-2)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*t + 2. Suppose -t*y - 24 = -8*y. Let s = 11 - y. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 56632818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 0.9585964.\nAnswer: -0.9485964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2537 + 2539. Solve 0 = 4*g + 2*p - 10, 2*g - w = -6*p + 4*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 1661*s**4 - 1662*s**4 + s**3 + 2*s**3 to the form u*s + d*s**4 + a + r*s**2 + h*s**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 - 246. Suppose 509 = t*s - 1101. Does 39 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 16*p + 5 - 2.\nAnswer: 16*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*13470905\nAnswer: 53883620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = u - 32. Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -1 + -35 + (23 - 19).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + f + 35249 = -22707, -5*k + f + 72445 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v - 31. Let n be d(-16). Let f = n - 66. Calculate the highest common factor of f and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 372 + 362 - 734.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.075 + 0.026. Let t = f - -30.049. Let u = -25.3 + t. Round u to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m - 5*w - 40, -4*m - w + 17 = 0. Solve -4*p - 3 = m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, b: 7}. Give prob of sequence uu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 25. Solve d = 3*j + t + 3*t, 0 = 2*j - 5*t + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxpwy. What is prob of picking 1 w and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-27)\/144?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*d - 588 = -0*d, 388 = 2*z - 4*d. Let t = z + -120. Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t**3 - 14*t**3 + 39*t**3)*(3*t - 4*t + 3*t) - 8*t - 5*t**4 + 8*t + 0*t**4 + 0*t**4 + 2*t**4 + (3 - 3 + 2)*(4*t**4 - t**4 - t**4).\nAnswer: 31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124348167.\nAnswer: 137, 3137, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -22*z. Let c(l) = -19*l**2 - 23*l**2 - 25*l**2 + 73*l**2. Give c(m(k)).\nAnswer: 2904*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 689 + -688.99999676. Round c to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 160?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {v: 3, d: 4, o: 1, n: 1, i: 4}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e4205c + 5?\nAnswer: e42062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*y + 55 = 0, 11137*a + 2*y - 20 = 11135*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.023175 minus 0.2?\nAnswer: 0.823175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -13680.\nAnswer: -13679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 8 - 18 - 91 - 35565*z)*(-z + 2*z + z).\nAnswer: -71130*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjjjhhjjj. Give prob of picking 1 j and 1 h.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 140, 2, 13349?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 2*z + z**2 - 2*z**2 + 6. Let i be m(5). Let t = 1\/21 + 2\/7. Put i, 0.04, t in decreasing order.\nAnswer: t, 0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22, 2, 1 in decreasing order.\nAnswer: 22, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 11*d**2. Suppose -5*p = 21 + 34. Give r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -50*f + 941. Calculate the remainder when n(15) is divided by 56.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 2*b + 2*b)*(0 + 2 + 0)*(b + b - 3*b) - 2474*b**2 + 1036*b**2 + 1267*b**2 in the form t*b**2 + k + u*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/(1005\/670))\/(-2*2\/99)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -12409 and -56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -251186.06 times -2\nAnswer: 502372.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from exwewx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 100*q + 609. What is j(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 806835517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 411 - 409. Suppose 0 = v - u*i - 1484, -2*v + 3*i + 0*i = -2969. What are the prime factors of v?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66155.\nAnswer: 5, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -60052458.\nAnswer: -2\/30026229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, -4, 3.45?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = 13243*o - 13197*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 132 + 671 = -41*d - 733 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x**2 + 152*x + 532. Let h(n) = 7*n**2 - 73*n - 266. Let i(j) = 6*a(j) + 13*h(j). Let b be i(43). Put 0, b, -5 in decreasing order.\nAnswer: 0, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000603905592 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2013\/732 - (-5)\/4. Let n(g) be the first derivative of -1\/12*g**h + 1\/6*g + 0*g**3 + 4 + 1\/6*g**2 - 1\/30*g**5. Factor n(v).\nAnswer: -(v - 1)*(v + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*v = -4*v - 14, 3*t + 5*v = 25. Suppose -t = -4*y + 2*y. Let i = 1566 - 1565. What is the closest to i in y, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 575*o**3 - 4*o**2 + 61*o - 1040. Let a be z(19). What is a rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d - 16. Suppose 0 = -d*n + 26 + 2. Calculate the remainder when (-216)\/(-21) - 2\/n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((-3)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 115132?\nAnswer: 115134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 17\/255*132)*-15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11.19361g?\nAnswer: 11193610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -859912 and -4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(880))\/(sqrt(80)*6) + sqrt(396) + 4*(sqrt(396) + 0 + sqrt(396)) + 2)**2.\nAnswer: 658*sqrt(11)\/3 + 1190795\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 2. Let j be i(2). Suppose j*n = n + 6. Suppose -4*x + 6 = n*s - 2*x, 5*s - 29 = 2*x. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9752 and 552.\nAnswer: 29256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:42 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*m**2\/5 - 2191916*m\/5 - 626264\/5.\nAnswer: 4*(m - 78283)*(7*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 600\/(-140)*(-1)\/(-6*12\/(-48))\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/46 + (-2590)\/(-161). Solve -q = o, o + l = 6*o + q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:20 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**2 + 70*k + 3. Let b be z(7). Solve -l + 2 = x + 1, 5*l - 11 = -b*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -3 (b) 0.4 (c) -8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5560.162622 rounded to the nearest one hundred?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/(y\/(y**(8\/9)\/y)))\/y**13)\/((y\/y**(3\/16))\/(y*y**(1\/18)*y*y)))**21 assuming y is positive.\nAnswer: y**(-8939\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44831758.\nAnswer: 2, 431, 52009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36 * 1390\nAnswer: -50040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*w - 9, 2050 = 3*w + y + 2028. Solve i + w = 2*b, -4*b - 3*i = -8*i - 29 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -2. Suppose -24*d + 14 = -23*d. Let f be 200\/(-455) - n\/d. Which is the second biggest value? (a) 5\/3 (b) f (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -23*v - 28. Let p(b) = -11*b**2 + 436*b - 1. Give q(p(k)).\nAnswer: 253*k**2 - 10028*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1064*a - 754*a + 799*a + 676*a + 582*a as x + m*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and -60*((-90)\/(-20))\/(-9)?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/5)\/i**(1\/4)*i*i**5*i\/((i*i\/i**(-2\/5)*i)\/i) assuming i is positive.\nAnswer: i**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/13229361 and 59\/70556592.\nAnswer: 211669776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -25.18, -1\/2, 0.3 in ascending order.\nAnswer: -25.18, -2, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 75 = -66. Suppose -2*a - 1 = t - 3*a, -4*a - 2 = -t. Sort 2, t, z.\nAnswer: z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let z(w) = 7733050*w. Calculate t(z(g)).\nAnswer: -7733050*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*a**2*l**2*y**2 - 4*a*l**2*y**2 - 2*a - 6*y**2 wrt a?\nAnswer: -196*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1755 + 3556. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66672866053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*o + 10, -f + 0*f = -4*o + 6. Let r(g) = -2*g + g**3 + 2*g**o - 1 + g**2 - 2*g**2. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from {r: 1, y: 2, h: 2, q: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*-4*-4*-2*sqrt(192) - (((sqrt(192)*-4)**2 + sqrt(192))*1 - 6*(sqrt(192) + -1))).\nAnswer: -3077 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 3029 = -3909 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -691 - -695. Sort -1, y, -0.36 in descending order.\nAnswer: y, -0.36, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243 + -1?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 2*g**4 + 0*g**4 + 0*g**2 - 3 + 2*g**4 + 3 + (3*g + 2*g**2 - 3*g)*(-g**2 + g**2 + 2*g**2).\nAnswer: 4*g**4 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*n + 28*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102.51 and 25.\nAnswer: 2562.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*f + 24, -5 - 7 = 4*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 8, 2\/19, 47\/5, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 3347739.06\nAnswer: 1673869.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q - 2 = -2*s - 43*q, -5*q = -5*s - 30 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -20*j**2 - 6*j - 62. Let w(h) = -61*h**2 - 17*h - 185. Let r(i) = 17*g(i) - 6*w(i). What is the first derivative of r(d) wrt d?\nAnswer: 52*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16314 - -326363\/20. Let n = -13\/54 + 1159\/216. What is the common denominator of z and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -109, -244, -433?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31939, 63857, 95771, 127681, 159587?\n\"Answer: -2*d**2 + 31924*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 83 - 2129*v**2.\nAnswer: -2129*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20930 and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0.6 (b) -1023 (c) 1\/2 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*w = -4*w - 24, 5*j = 3*w + 22. Let r be -5*(4 - j - 3). Suppose 0 = -r*v - 2 + 97. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6, 0 = 5*d + 2*x - 371 + 95. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 29 = 43 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let s(z) = -3*z - 2154. Determine i(s(m)).\nAnswer: 18*m**2 + 25848*m + 9279432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 14825 = -66437. Let u = a - -11910. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*j**2*m*v**2 - 165*j**2*v**2 wrt m.\nAnswer: 43*j**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6713097 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:44 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 2175, 4894, 8701, 13596, 19579, 26650?\nAnswer: 34809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + o = 24. Let y(c) be the first derivative of 3*c**2\/2 - 7*c + 2. What is the lowest common multiple of y(6) and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 + 0.07\nAnswer: -136.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26778?\nAnswer: 2, 3, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 147. Suppose -18 = -z*g - 2. Solve 12 = g*j - 0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*w - 772 = -209*w + 276*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21581 + -690673\/32. Let v = 139228209\/22022 - -1544\/1573. Let y = v + -6328. Find the common denominator of l and y.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 804 divide 1098127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(-106)*40\/(-75)*(-470)\/(-376))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:21 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9679, 9682, 9687, 9694, 9703?\nAnswer: 9714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 3)*483\/6. Suppose 0 = -3*u + 7*u + s - 314, 0 = -4*u + 3*s + n. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - p = -16, 14 = 2*f + 3*p - 13. Solve 5 = -3*n - 10, f*q - 2*n - 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 104*k + 14. Let i be f(4). Calculate the common denominator of (((-2)\/(-1))\/10)\/(48\/i) and -85\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1331))*1 + -1*(-2*sqrt(1331) + sqrt(1331)))**2 - ((((sqrt(99) + sqrt(99) + sqrt(99)*-2)*-4)\/sqrt(9))**2 + -5))*-1.\nAnswer: -5330 - 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4614994 - 15*i + 81*i**3 + 4614994 + (-3*i + 5*i - i)*(-3*i**2 + 0*i**2 + i**2) in the form l*i**3 + w*i**2 + g*i + j and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000204272806 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6965 + -48753\/7. Which is the third smallest value? (a) 12\/11 (b) m (c) -1 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1060, 5, -161, -13 in ascending order.\nAnswer: -1060, -161, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**4\/2 - 1587*i**3 - 53622*i**2 - 417741*i + 945897\/2 = 0.\nAnswer: -17, 1, 1091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p + r, -4*p + 3*r + 4 - 2 = 0. Let o = p - -6. Suppose o*x + 2*d - 117 = 0, 3*x + 0*d - 83 = 2*d. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 2 + 0 - n**3 - 2*n in the form z + u*n**2 + f*n + j*n**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181.492884 - 33442.\nAnswer: -33260.507116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3351 + -3260. What is the second smallest value in -1\/3, 0, 3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7626+0.2\nAnswer: 0.9626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 986*t + 32762. Give l(35).\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-17)\/((-136)\/96). Calculate the highest common divisor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 886?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*(y*y**(-1\/3)\/y*y)\/y*y*y)*y)\/y**(-2\/19))\/(((y*y**(-4\/3))\/y*y)\/(y**4\/y)) assuming y is positive.\nAnswer: y**(215\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(35) - sqrt(875)*2)\/(sqrt(225)\/sqrt(5)) + 2*(sqrt(7) + 5) + 3 + (-5 + sqrt(7))**2 + sqrt(7) + sqrt(7)).\nAnswer: -54*sqrt(7) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 13*v**2 + 51*v - 656. Calculate l(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -0.6. Let r = p + 5.3. Which is the second smallest value? (a) 3 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:57 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzheh. What is prob of picking 1 e and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 3854*m**2 - 1928*m.\nAnswer: 2*m*(m + 964)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26803835?\nAnswer: 5, 43, 124669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1079*t - 562964 + 562964 as l + w*t and give w.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2727 and 2727?\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 - -3.8. What is the nearest to -1 in -1\/12, m, 1\/4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 9. Let t be 0\/4 - 1*3. Let s = 5 + t. Suppose -z = 4*n + 23, 3*n - n + 4 = s*z. Give c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:00 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 0*h**3 - 2 - 15\/2*h**2 + 0*h + 3\/2*h**4. What is the second derivative of k(q) wrt q?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -260, -227, -194, -161?\n\"Answer: 33*v - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + 0 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpkjt. Give prob of sequence kt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 3. What is the closest to -2\/5 in 4, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-108)\/15)\/(-6)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 (base 8) in base 10?\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 3*r**3 + 5*r**3 + (26*r + 4*r - 12*r)*(-r**2 - 4*r**2 + 2*r**2) - r**3 + r**3 - r**3.\nAnswer: -49*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.1 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20457 by 1.\nAnswer: 20457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7939 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/5)\/((-4)\/20). Suppose 0 = -w - 3 + d. Suppose -m + 2 + 0 = -4*k, 4*m + w*k = 8. Solve 1 = m*z - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59237 divided by -59237\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -68472 divided by 108\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 8*m + 18. Let t be a(-31). Let s be -1 + 2 + -2 + t\/(-139). Solve 5*f + 3*x = 5, -s*f - 3*x = x - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/19*(-6)\/21*2*42\/(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and -149\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -5*v - z, -4*z + 240 = -v - 3*v. Let k = v + 68. Solve 10*c - 5*c = -k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -342, -1381, -3130, -5595, -8782, -12697, -17346, -22735?\n\"Answer: -g**3 - 349*g**2 + 15*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 121, 117, 121, 139, 177, 241, 337?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*a**3 + 519*a**3 + 58*a**3 + 3*a**3 - 5*a**2 + 5*a**2 + 3*a**3 + 3 - 3 + (-1 - 2*a + 1)*(-a**2 + a**2 + a**2))*(0*a**2 + 2*a**2 + 3*a**2).\nAnswer: 2585*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 8*u - 28. Suppose 158 = -6*x + 122. Let r(t) = 2*t**2 + 9*t - 26. Let q(k) = x*r(k) + 5*d(k). Determine p, given that q(p) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, -984.\nAnswer: -984, -30, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 45 = i. Let b(o) = -10*o + 30. Let s be b(i). What are the prime factors of -1 + s\/(-16) - (-471)\/4?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -8. Let z = 2 - 1. Sort z, q, 0 in increasing order.\nAnswer: q, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/20*53\/(2968\/(-1400)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 3*n + 4. Let f be j(4). Let i be f\/60*(-36)\/(-110). Let g = i - -40399\/3300. Find the common denominator of 93\/8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 3.392?\nAnswer: -3.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 - 1730086 - 650050 + 16*q**2 - 4535859.\nAnswer: q**2 - 6915995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:38 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4)\/(((-14)\/(-49))\/(32\/168))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h - 3*h + 0 + 0 - h + (19 - 19 - 60*h)*(1 + 2 - 4)*(0 - 5 + 3).\nAnswer: -123*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 + -88. Let q = -52480.19981942 - -52536.19982. Let j = q - z. What is j rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n + 14, -30 = -2*a - n. Calculate the highest common factor of a and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 4*b**2 + 2*b**2)*(-27 - 10 + 3)*(-b - b - 4*b).\nAnswer: -408*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/8 - 1\/(-2). Suppose 13*i + u = -7. Which is the second smallest value? (a) -1\/10 (b) i (c) 0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4545939.\nAnswer: 2\/4545939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 - -111. Let w be ((-3 - -3)\/b)\/(-2). Solve w = 9*j - 3 + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -989 - -994. Let n = 0 - -0.2. What is the closest to 3 in m, -1, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2359*g + 3927 - 5565 = 778*g + 33144 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 2128 = 1691. Let b = w + 386. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t + 209118 = -2962. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 708, 706, 702, 696, 688, 678?\n\"Answer: -s**2 + s + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 25*x = -12. Suppose l = x*q + 133, -3*l = q - 586 + 187. Let h = l + -80. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 4 + 3*o + 3*o - 3*o. Let l be r(7). Let h be 6 + -5 + -1 + -12 + (2 - -1). Put 2, h, l in increasing order.\nAnswer: h, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1\/3 (b) -16 (c) 39 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 98092 in increasing order.\nAnswer: -12, 4, 98092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1122*p - 5012. Let s be j(-5). What is the greatest common factor of s and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3612, -3714, -3884, -4122, -4428, -4802?\nAnswer: -5244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 227803 + 164433 = 0. What are the prime factors of y?\nAnswer: 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5 + sqrt(128))**2 - (sqrt(128) + 3 + -2)**2) + 1.\nAnswer: -112*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - n + 1 = 0, -20*n = -3*u - 24*n + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6, -3*n - n + 323988 = 2*z. What is z rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, y: 2}. Give prob of picking 1 y and 2 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1368 and 34020792?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -58 + (4 - (7 - 2)) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7979 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 l be 13\/(-65) - 10681\/45. Let x = 238 + l. Put x, -0.3, -3 in decreasing order.\nAnswer: x, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.2 - 11.2. Let h be (1 + 22\/(-20))*-2. What is the nearest to 2 in -2, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-5 - 1 - 10) - 2 + 4 - 4 + 0 + 2 + 0)*(-2*r + 2*r - r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491*g**2*q**3 + g**2*q**2 + 2*g**2*q + g**2 + 2*g*q**3 + 2*g*q + 929*q wrt q?\nAnswer: 2946*g**2*q + 2*g**2 + 12*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (9\/(-3))\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 + 0.06. Let f be (-8)\/(-10)*(-12)\/16. Sort 0.3, b, f in increasing order.\nAnswer: f, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3 - 5 + 5*j + 0 - 1 - 7*j**2. Let x(k) = 3*k**2 - 2*k + 4. What is -2*i(f) - 5*x(f)?\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 > 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 6. Let b(z) = 2. Let k(j) = 5*b(j) + o(j). Calculate k(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, -18, -9, -1, -4, 176 in decreasing order.\nAnswer: 176, -1, -4, -9, -18, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(((-18)\/(-90))\/((-3)\/(-114)))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7022*y + 13923*y - 6718 - 9014 = 7039*y for y.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 69472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/(-165))\/((-1)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-114)\/(-2) - (-1 - -2). Calculate the highest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 2. Let h be v(2). Let m = 20 - h. Suppose m*g = g + 15. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -15\/11 (b) 4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z = -70*z. Suppose z*k = 17*k - 5185. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 7*l**2 - 2*l - 5. Let a be j(-7). Let h(w) = -w**3 - 27*w**2 + 23*w - 135. What is the remainder when 3*(-6)\/a + 15 is divided by h(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -24. Suppose 0*k = k + 3*g - 6, -2*k + x = g. Suppose -6 - k = -4*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46 + -2.46. Let r = 0.22 - 0.22. Let f = -6 + 10. What is the nearest to o in r, 5, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 7*q**2 + 8*q - 8. Let t be x(6). Solve t*u = 2*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 30377 = -8*o + 8*y, 2*y + 7592 = 2*o. Is 131 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(22) - (sqrt(22)*1 - sqrt(22) - sqrt(22)))\/sqrt(11))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-2 + sqrt(1377)) - ((0 + sqrt(17)*2)**2 - sqrt(51)\/(sqrt(3)*2))).\nAnswer: 300 + 355*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/((-216)\/24)*12\/32\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose -7*h + 2*h = 4*q + 22, 5*q + 11 = f*h. Let d(b) = 76*b - 26*b - 3 - 26*b - 25*b. Give d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 0\/(-3))*3. Let j(h) = h**3 + 3*h**2 + h. Let x be j(-2). Let r = d - x. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.5 (c) 5 (d) -5 (e) 5581\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/8 + 181\/40. Let 2\/5*q**2 + 0 + g*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, w: 2, h: 3, l: 4, i: 1, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7557, 2\/11, 3, -4, 4, 0.8 in descending order.\nAnswer: 4, 3, 0.8, 2\/11, -4, -7557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3919, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5387688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98667 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + g**3 + 4*g**2 - 2*g + 21 - 29. What is the remainder when 23 is divided by f(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -75 - 35) + -13 - -67.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*p + 180, 15*p - 18*p = -9. Solve -130 = b*y + 68 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*j + 15, 0 = -2*f - 4*j + 3 + 17. Suppose -3*b + 18 = -f*b. Let v(a) = a**3 - 5*a**2 - 4*a - 3. Let c be v(b). Solve -c*u = -4*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*m**3 - 12600 + 12592 - 245*m**3 + 62*m**3.\nAnswer: -221*m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 6 - (51 - 51) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 132. Suppose -3*b + 61 = 2*w, h = w - 2*b + b. What is the highest common divisor of 48 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191.\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-31*r - 4*r - 121*r).\nAnswer: 156*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*(-2)\/125*(-10)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 281*p**3 - 2*p**2 + 3*p**2.\nAnswer: -281*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3012 and 3992.\nAnswer: -12023904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q + 5 = 0. Suppose -4*n - 5*a + 13 = 0, -50*a - 3 = -53*a. Suppose -n*x + x - 5*w + 22 = 0, -w - q = 0. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2\/42*1). Let w be (-5)\/(45\/j)*-9. Suppose 4*h - h = 3*x + 21, -2*h - 5*x = w. Solve 1 + h = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (33 + -25 + 2 + -10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -253035?\nAnswer: 253053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1867468*d**2*o*t**3*v + d**2*o*t - 1390*d**2*t + 731*d*t**3*v - 2*d*v wrt o.\nAnswer: -1867468*d**2*t**3*v + d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in -2, 2.1, 2?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -2 + -77 + 49 - (-32 + -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) -2\/5 (b) 4 (c) -0.1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (166 - 3)\/((-1 - 0)*1). Let b = v - -1465\/9. What is the nearest to 1 in 0.3, 22, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5321018 + 1.532. What is r rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*r + 16, -79*r - 5*c - 161 = -118*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 67*m**2 + 189*m + 5200. Give x(-34).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16400, 17041, 1922, -28957, -75596, -137995?\nAnswer: -216154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aneenjkenkjjaaeeaeaa. What is prob of sequence ea?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 8*x + 32)*(2 + 0 + 2)*(4 - 2 - 3)*(1 + 10 - 4).\nAnswer: -224*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -599*q**7\/42 + q**4\/6 - 20*q**3 + 1609*q. What is the third derivative of w(d) wrt d?\nAnswer: -35940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75.6 greater than or equal to 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 + 0)) + (-30 - -19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + c**3 - 4*c**3)*(0*c + c + 0*c) + c - 6307*c**2 + 6307*c**2 + 34*c**4.\nAnswer: 32*c**4 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420483281?\nAnswer: 19, 37, 598127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 4*c + 4827 = -23*a + c + 4863, 4*c = -a + 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8024117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) + 2*sqrt(392))\/sqrt(7) + sqrt(56) - ((sqrt(56) - 2*sqrt(56)*1) + sqrt(56)))\/(sqrt(96)\/(sqrt(24)\/sqrt(2)) - sqrt(72)\/sqrt(36)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 514 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*i**2*m**3 - 1700474*i**2 - 29115*m**2 wrt m.\nAnswer: -492*i**2*m**2 - 58230*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1033272 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14190566?\nAnswer: 2, 13, 545791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvezvozzzezdzzevz. Give prob of sequence ozez.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - m**2 + 8*m**3 - m**4 + m**3 + 9*m**3 + 6*m**3 as g*m**4 + b*m**3 + t*m + k + v*m**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-634)\/(-320) - 2). Suppose 133 = 3*v - 5*u, 3*v + u + 39 - n = 0. Calculate the remainder when v is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9355*r**2 - 9358*r**2 - 5 - 7 + 12.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*a + 2. Suppose a*j = -3*q + 303, 4*q - 93 - 311 = -5*j. Suppose -9 - q = -11*y. Solve -5*x = -y*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 1087056*g**2.\nAnswer: g**2*(g + 1087056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6 - 2*o - o**2 + o**3 + 7 + o. Suppose -3*g - 4*w = 4, -w - 4*w - 5 = -3*g. Is b(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63748169*f**2 + 495399222?\nAnswer: -127496338*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbtkm. What is prob of picking 2 b, 1 m, and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26096296.\nAnswer: 2, 31, 105227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 3476*x**3 - 1 + 2.\nAnswer: 3476*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 + 16 = 3*o, -3*o - 3*h = -15. Suppose -r = -2*l - 11 + 17, -4*r = o*l + 11. Let m = 12 - -3. Solve -m = 4*b + l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5 - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, u: 2, i: 1, b: 3, k: 1}. Give prob of picking 1 m and 1 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 20*n**2 + n**2)*(n - 2*n + 4*n).\nAnswer: -69*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + -2. Let z be -3 - (-5)\/p*-26. Is 10 a factor of (-386)\/(-5) - 2\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189313144 a multiple of 2613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 1872339288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 1 + 1 + 5287*g**2 - 5277*g**2 to u*g + h + o*g**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 954.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 215539.\nAnswer: 16\/215539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Suppose 5*j = 3*l - 6, 0*l - 3*l + 3*j + 6 = o. Suppose -1028 = -l*d - 150. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+0.292977061\nAnswer: 0.492977061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 44779758176.\nAnswer: 44779758175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x - 7. Calculate the common denominator of d(2) and 39\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -51*s**5\/10 + 25*s**3\/3 + s**2 + 69*s. What is the second derivative of j(i) wrt i?\nAnswer: -612*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/(-2))\/((-18)\/9). Suppose 0 = f + s*f - 342. What is the lowest common multiple of 14 and f?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 - 183*h**4 - 2100*h**3 + 7956*h**2 + 71280*h = 0. What is h?\nAnswer: -44, -18, -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -175*d**4\/24 - 323*d**3\/6 - 3*d**2 - d. What is the first derivative of x(p) wrt p?\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 13*i**2 + 34. Let o(q) = -2*q**3 + 12*q**2 - 39. Let p(b) = -3*b**3 + 18*b**2 - 58. Let z(c) = 7*o(c) - 5*p(c). What is -6*n(r) + 13*z(r)?\nAnswer: r**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75918, -75995, -76082, -76185, -76310?\nAnswer: -76463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 367.5\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r + 3. Let g(u) = 9*u + 2. Determine 2*g(s) - 3*v(s).\nAnswer: -6*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 4, h: 1, t: 1, l: 2, x: 2}. Give prob of sequence vx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 430540 and 2060?\nAnswer: 430540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9715203 and 145728045.\nAnswer: 145728045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -252, -262, -286, -330, -400, -502?\n\"Answer: -z**3 - z**2 - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**1\/t))**14\/(t\/(t*t**3*t)*t*t**(1\/3)))\/((t*t*t**(-2\/3))**43*t**6*t\/(t**(-5)\/t)*t) assuming t is positive.\nAnswer: t**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 34 = -3*p, -3*p - 10 = -2*p - 2*g. Put -4, -1, p in ascending order.\nAnswer: p, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44107*q**3 - 3*q - 88249*q**3 - 2 + 0 + 3*q + 44149*q**3.\nAnswer: 7*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113051198 and 6903.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79591 - 316613\/4. Let f = i + -435. Calculate the common denominator of f and 25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 190 + 193*i**2 - 66*i**2 - 7*i**2 wrt i.\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10594 - -10595. Let t = 0.1 + 0. Which is the nearest to t? (a) 0.3 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (15 - 17) + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3972459.485 and 72?\nAnswer: 3972531.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1692569345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 284967086 * -0.3.\nAnswer: -85490125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbrs when four letters picked without replacement from rcbsbclrllcsllclcl?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = -2*j - q, -q = 0. Let a = j + 13. Suppose 3*k = 0, -3*c + a*k + 413 = 29. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443593 is divided by 62934?\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/12 + t**3\/2 + 3*t**2\/2 + 6533*t. Let i be 4\/18 - 48\/(-27). Suppose 3*r - 3 = i*k + 9, -4*k + 4*r - 20 = 0. Give n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01946098 rounded to 4 dps?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - 1) + 5 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157.56 - 158. Let b = -2.34 - y. Sort 0.4, -0.2, -0.01, b in descending order.\nAnswer: 0.4, -0.01, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 9*p = 3*a + 1, 0 = 2*a + 8. Is p smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368612639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 210 = 4*c, -3*w + 2*c + 336 = 3*c. Which is smaller: w or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 65*h**2 - 355*h - 10481. Calculate j(-62).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-55))\/(15\/(-125))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 + 13*a - 229)*(3*a + a - a).\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13602 divided by -7\nAnswer: -13602\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3600 + 3*j**4 + 3*j - 3*j - 3*j**3 + j**2 - 2*j - 3596 in the form b*j + d + k*j**3 + x*j**2 + v*j**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.09 + 0.59. Let h = 9 + -4. Sort -1\/10, h, c in ascending order.\nAnswer: c, -1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/9*63\/14. Let m = 20 + -12. Let q(f) = 2*f + 2*f + b*f**2 - m*f + f**2. Let j(p) = p**2 - p + 1. Give -2*j(c) + q(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*k + 3, 2*q + 1 = -4*k - 1. Let h = 1 - q. What is the units digit of (h\/(-5))\/((-1)\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479796, -1919212, -4318230, -7676844, -11995048, -17272836, -23510202?\nAnswer: -30707140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:05 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20418293*0.6.\nAnswer: 12250975.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 146 + 22 = p, -119 = -2*j - 3*p. Let k = j + -53. Is 30\/13 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11313 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 1 i when three letters picked without replacement from {g: 3, c: 2, i: 5}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23830203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 - -6.91. Let r = -1.4 + u. Let z = r - 3.91. Sort 4, z, 0 in descending order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1, -5988772 in decreasing order.\nAnswer: 2, 1, -3, -5988772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v**2 - 4*v - 4. Calculate l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24 + 30 - 13 - 2*f**3 - 2*f**4 + 6*f**4 wrt f?\nAnswer: 16*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*l - u + 25, -4*u - 24 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:47 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10))**47 assuming w is positive.\nAnswer: w**(-470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 2*j**4 + j**4)*(-5 + 1 - 17).\nAnswer: -42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211366 is divided by 152.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -163917340\nAnswer: -819586700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32016 - 187169 = -18*d + 76021. What are the prime factors of d?\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -62, -104, 6, 5 in descending order.\nAnswer: 6, 5, 4, 2, -62, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3 + w**2 - 3 - 2 + 11 - 5*w. Let r be q(5). Suppose 3*t - 9 = -r*y, -4*y - 1 = 3*t + y. Is t greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-70)\/(-15) + 4\/(-6). Which is the closest to -2? (a) 1\/5 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 15 = -3*u. Suppose -2*i = -3*d - 2*d + 15, u*i = 3*d - 28. Let r be ((-167)\/4)\/(-1) + d\/4. What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 105575 and 105576 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 67*p + 72*p - 10, -6 = -2*i - 3*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27041449 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 times 4.51?\nAnswer: -0.38335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4995696 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uhru.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 3*v - 158. Let h be l(11). Let n(i) be the third derivative of -i**5\/60 - i**4\/6 - i**3\/6 - 9*i**2. Determine n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*k + 185. Let x be (10\/k)\/(1\/(-5)). What is the greatest common divisor of x and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27)\/((-8)\/(-12))*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhdh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 22*n + 1. Let d be p(-6). Calculate the highest common divisor of 275 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100100100011 (base 2) in base 16?\nAnswer: a923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34140559 + 92930.9\nAnswer: -34047628.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014 + 340 - a**2 + 332 + 342.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 19 + 1. Suppose 3*x - 4*v = 3 + 7, v = -5*x + f. Suppose -y + 5 = 2*g, -2*g + x + 0 = 4*y. Solve 7*i - 8 = g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24530712 by 6.\nAnswer: -4088452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8*q + 3*t - 4 = -0*t, -98 = 11*q - 13*q - 11*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -22*p**2 + 256*p + 96 = 0?\nAnswer: -4\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 7, p: 4, f: 1, v: 1, a: 4}. What is prob of picking 1 b, 1 v, and 2 p?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279.4*-0.4.\nAnswer: 111.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*h = 29 - 845 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23510000 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 0.5 (c) -1 (d) -2\/14175 (e) -4 (f) 5 (g) 14\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**3\/3 + 39*t**2 + 17677. Let c(i) be the second derivative of i**4\/6 - 2*i. Calculate y(c(a)).\nAnswer: -8*a**4 + 156*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 12*z + 161 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(90\/16 + -4 + -2). Let u be 2\/4*(1020\/10 - o). Calculate the highest common divisor of 77 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v - 2. Let w(i) = -2*i**2 - 3*i + 6. Let d(p) = 6*o(p) + 2*w(p). Let h(y) = -2*y + 2. What is h(d(k))?\nAnswer: -4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-19) - (3 + (-1056)\/(-152)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -175, 3, 11.\nAnswer: -175, -3, 3, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - (-3 + 3) - 1) + (17 - 26).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18620 and -88\/3675.\nAnswer: 279300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333)\/185*(-2)\/18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*m = -10, -2*k + 2*m - 6*m - 20 = 0. Suppose 2*x - 3*d = -2*d + 9, -4*d - 10 = 5*x. Factor -1\/3*i - 4\/3*i**4 - 2*i**x + k - 3*i**3.\nAnswer: -i*(i + 1)**2*(4*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/10365 and 19\/40384113?\nAnswer: 201920565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 75 = 0. Let a = o - -43. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1226405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + 118\/8. Let x = o - 11. Suppose -5*b + m = -18 - 2, -b - 3*m = 12. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/3 - 1595*u**2\/3 - 16940*u\/3.\nAnswer: -5*u*(u + 11)*(u + 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 2. Let a be l(3). Let t be (2 - a)\/(1\/23). Let j = t - 11. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d*g**3*q**3 - d*g**3 + 229*d*q**3 - g**3*q**3 + 11*g**3*q**2 - 49*q**3 with respect to d.\nAnswer: 5*g**3*q**3 - g**3 + 229*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (426\/(-2556))\/(1\/8*1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -91*l + 10*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-2\/15)))**(-2\/33)*(i\/(i*i\/i**(2\/15)))**(-38) assuming i is positive.\nAnswer: i**(16306\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11609346097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 80. Let g be (21\/12)\/(1\/i). Suppose 3*h = 3*v + 18, h - 4*h + g = -v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/23)*z*z**(-2\/83)*z)\/(z**(2\/3)*z**(-25)\/z))**(-20) assuming z is positive.\nAnswer: z**(-3118040\/5727)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -153\/7280 and 9\/8261890.\nAnswer: 66095120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941287 is divided by 173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66770, 133366, 199964, 266564?\n\"Answer: b**2 + 66593*b + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y = -935 - 204 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 39. Let s be (3\/l)\/(2\/10). Let m = s - -1\/12. Sort m, -0.2, -3 in decreasing order.\nAnswer: -0.2, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*f = 6*p - 165, 2*f = -3*p + 89. Is 32 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30810 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(16) + sqrt(70)\/sqrt(10)*-3 - (-3 + sqrt(343) + 1 + -2))**2.\nAnswer: -76*sqrt(7) + 2591\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/11*8\/(-396)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/3 + 458*p - 157323 = 0. What is p?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 13*j + 4. Calculate i(-5).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 + 132*w\/5 + 2091.\nAnswer: -3*(w - 85)*(w + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(2) + 1).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k - 39*k - 40*k to the form a*k + v and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u - 12. Let i(n) = 19 - 15 + 0*n + n. Let t be i(u). Is 1\/18 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1420 divided by 2\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = 7. Let m be (b + 2)\/(-3 + 2). Suppose -4*k + 16 = 4*x, 0 = 3*x - m*x - k - 32. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(-6*z + 5*z + 5*z) - 4*z + 6*z - 2*z**2 + 0*z**2.\nAnswer: -6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101100010010101000001 (base 2) in base 10?\nAnswer: 3548481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/360 + 7*r**5\/120 - 5*r**4\/24 - 6*r**2. Let x(f) be the second derivative of g(f). What is x(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0823 - 1.3863. What is l rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47595\/13 - 3661. Let y = -7 + 6.97. Let l = 14.4 - 14.1. What is the nearest to 2 in j, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*t + 5*r, 2*r = -3*t + 6*r + 4. Let x be (14\/98)\/((-2)\/t*-1). Which is the nearest to -1\/2? (a) -0.3 (b) 0.12 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -198 and -0.23.\nAnswer: -198.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -208, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-15) + (-15)\/75\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = t + 3, -4*k = -2*t. Suppose t*g + 6 = 22. Solve -2*z + 0*q - g = -q, q + 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18161547, 18161546, 18161545, 18161544, 18161543?\n\"Answer: -d + 18161548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2. Let c(u) be the first derivative of 1\/2*u**2 + 0*u - 1\/6*u**4 + 0*u**3 - 2. Let g(j) be the second derivative of c(j). What is g(o(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90 and 0.9911.\nAnswer: -89.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1174*j**3 + 460*j**2 + 8*j + 8. Let t(a) = 1174*a**3 - 460*a**2 - 6*a - 6. Let u(v) = 3*p(v) + 4*t(v). What is the third derivative of u(n) wrt n?\nAnswer: 7044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82040635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.6 + 102. Let k = t + -46.4912. What is k rounded to three decimal places?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 17.9. Which is the nearest to l? (a) 0.1 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 13. Let p(b) = 31*b + 4. Let z(t) be the second derivative of -5*t**3\/2 - t**2 + 16*t - 120. Determine i*z(j) + 6*p(j).\nAnswer: -9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1431 and 1?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 74.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684))**2*-2*-5*4.\nAnswer: 27360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*j + 7, 12*u - 112642 = j - 112726 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9063, 3\/10, -0.4, -2?\nAnswer: 9063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 24 + 30 - 51*i + 26.\nAnswer: -51*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/4 - 5481*v**2\/4 - 17976*v + 66240 = 0. Calculate v.\nAnswer: -16, 3, 1840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1973 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2924, -5850, -8776, -11702?\nAnswer: -14628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + 3 + -3 - (67 - 0 - 2)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961967719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -89775.4.\nAnswer: -269326.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13928928 by 4642976.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388403, -388497, -388591?\nAnswer: -388685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 23. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/14 + 2\/7. Let f = -55\/133 + -3\/19. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**3\/5 + 219*f**2\/5 - 3*f\/5 - 219\/5 = 0.\nAnswer: -73, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t = 5*o - 57*t + 16, 0 = 5*o - 5*t - 50 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720\/(-440)*11132\/(-264).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 10493, -5, 0, -1.\nAnswer: -5, -2, -1, 0, 10, 10493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/(-14)*(-2 + -5). Calculate the greatest common divisor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-50) + (-1 - 4\/(-5)). Is (-111)\/(-6)*29*(v - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose -39 = -0*x - g*x. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 128 (b) 0 (c) 0.6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atgaaattgattaa. Give prob of sequence attt.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*z + 33 = 3*v, 4*v - 4*z - 68 = 0. Suppose -339 + v = -2*o. Suppose 4*y - o = y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-6))\/((-2)\/6). Let z = 21 + i. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/482139 and -17\/14634.\nAnswer: 261319338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 10 = -152*r + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481.8486 centuries to months.\nAnswer: 578218.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 63278 = -2*y - 866, -5*o - 15 = 0. Round y to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 905 and 185?\nAnswer: 33485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 3) + 2 - 3. Let m be -11 + 5 - (-9 - o). Solve -1 - 8 = -m*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/3 + 2*w**2 + 3*w + 9. Let d be 224\/(-48) + (-2)\/6. Determine j(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61971*-21.\nAnswer: -1301391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 4*y = -4*y. Let p(h) be the third derivative of 0*h - 1\/60*h**5 + 5*h**2 + 0 + 0*h**3 + y*h**4. Let q(n) = n**2. Determine q(p(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 430*g - 23070. What is i(117)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 470 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w*w*w**(-3))**43*((w*((w*w*w*w**1*w)\/w)\/w)**(14\/5))**(-35) assuming w is positive.\nAnswer: w**(-736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 267526718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 262250 = -53*z. List the prime factors of z.\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*((c + 2*c - 5*c)*(3 + 0 - 1) - c - 5*c + 5*c + (-5 + 4 + 3)*(4*c + 0*c - c) + c - 4*c + 5*c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let g(z) = z + z**2 - 2 + 3 - 3*z**2. Let j(o) = o**2 - o - 1. Let c(x) = l*g(x) + j(x). Let s(t) = t**2. Determine s(c(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let k be 2 + 66\/(l - -3). Suppose -4*i = 3*r - k, 3*i - 93 = r - 5*r. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*q**2 - 60*q**2 - 31*q**2 + 293*q**2 - 24*q**2 + 168*q**2.\nAnswer: 511*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*w - 4*p + 10, 0 = -4*w - 3*p + 20. Suppose 26 = -4*n - 2*j, -n = 3*j - j + w. Let v(i) = -78847*i**2 - 1 - 8*i + 1 + 78846*i**2. Determine v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208 + 913. What are the prime factors of i?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1211 + 1220302110?\nAnswer: 1220300233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28868633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 - 21*x**3\/2 - 71*x**2\/2 - 51*x\/2.\nAnswer: -x*(x + 1)*(x + 3)*(x + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, -3, -5, 42, 0.213 in descending order.\nAnswer: 42, 0.213, -3\/14, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 99489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 2081*n**2 - 8463*n - 629. Calculate j(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30278510 is divided by 176.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 279\/(-126))\/((-15)\/(-80))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 608175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2*1 + 4. Let u be (12\/15)\/((-2)\/(-5)). What is the closest to 1 in u, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 1000, 2279, 4068?\nAnswer: 6367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u = 38*u - c + 2, 0 = 3*u + 2*c - 4. What is the second smallest value in -13, u, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23364641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2479 + 3585. Suppose 0 = -3*r - 5*d + 1648, -r + 4*d = r - h. Let p = r - 60. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m)**(4\/3))**38 assuming m is positive.\nAnswer: m**(760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 5)\/(6\/4). Suppose -5*t - 2 = -d*a, -t = 2*a - 4*t. Let z(n) = -a*n**2 - 4 + 4 + 5*n**2. Let s(i) = 7*i**2. Determine s(z(m)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*t - t + 97 = 0, 2*t + 26 = 2*p. Let m = p + -21. What are the prime factors of 30*m\/(-24) + (-3)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/(f**(-4)\/f)))\/f))\/f*f**(-3))\/(f**(3\/5)*f*(f\/(f\/((f*f**(3\/2))\/f)))\/f) assuming f is positive.\nAnswer: f**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let n = y + 1. Let u = 82 + -82. What is the nearest to n in 0.1, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiz when four letters picked without replacement from zzziizi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5284 and 137\/12.\nAnswer: 15852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.09 - -0.09. Which is greater: p or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441934, 441993, 442052, 442111?\nAnswer: 442170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47609099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 - 46*m. Determine r(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(6\/7))**(-4\/9)*(a\/a**(2\/27))\/((a*a**(1\/8))\/a) assuming a is positive.\nAnswer: a**(1115\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 12*p - 14. Give t(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/10*-135*(-30)\/(-81000).\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 24 = 4*i - 3*l, -4 = -i + l. What is the common denominator of 9\/i*(0 + 18) - -2 and -61\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625 and 2875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) + (-7)\/(-3). Which is the smallest value? (a) q (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/(i\/(i\/i**2)*i*i))\/i))**32*(i*i*i**(2\/9)*i)**22 assuming i is positive.\nAnswer: i**(1790\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 317 and 14052927?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)*((-8)\/(-4))\/(-2). Let o(l) = -5 - 8*l - 5*l**3 + 2*l**2 + 8 - 8*l**2 - g*l**2. Let f(m) = 2*m**3 + 3*m**2 + 3*m - 1. Give -8*f(w) - 3*o(w).\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15194 is divided by 992.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 9*c + 7. Suppose 13 = 3*g + 2*t, -5*t + 2 = -g - 5. Let s be a(g). Calculate the remainder when 665\/s + (-8)\/(-20) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (15 - 15) - 19 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m + 1. Let n be o(2). Suppose 12*b - 393 = -69. Suppose b = 5*x + n. Solve -2*i + 2*u = -16, 4*i - i + 5*u + 16 = x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12 = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:50 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + 8 - (-15)\/3. Let c(z) be the first derivative of 4 + z + 1\/2*z**g. Differentiate c(q) with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, -25, 3, -15 in decreasing order.\nAnswer: 32, 3, -2, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5476997 is divided by 1825664.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 917726 or 917817?\nAnswer: 917817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 534.516732 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - sqrt(32)*3)\/sqrt(4))\/((sqrt(4) - sqrt(100))*1).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*r - 66*r - 7*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 24. Let c = 13 + x. Let r(n) = -4*n + c*n**2 + 1 + 2 - 9. Let o(m) = 5*m**2 - 3*m - 5. Determine 4*o(j) - 3*r(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -82 (b) -2\/15 (c) -112 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 489?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2)*870\/5. Let i = -2260\/13 + b. Let c = -0.12 + -1.88. What is the nearest to 0 in c, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10216872, 20433754, 30650636, 40867518, 51084400?\nAnswer: 61301282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 72 = 74 - 156. What is the remainder when ((-20)\/(-6))\/(2\/6) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 281 + 20*z + 12*z**2 - 11\/3*z**3 - 3\/4*z**4. Find j such that p(j) = 0.\nAnswer: -5, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:41 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y. Let p(a) = 14*a**2 + 3*a - 9. Let h(v) = 7*v**2 + 2*v. Let q(i) = -3*h(i) + p(i). What is 3*j(t) + q(t)?\nAnswer: -4*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 346371.89 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*n + 131 = 134 + 1152 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 3. Let v be p(3). Let y(w) = w + 1. Let m be y(v). Suppose -9 = -4*g - m. Solve -2*f = 5*q + 15, 6*q + 12 = 2*f + g*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9992 + -9986. Let h(n) = 2*n**2 + 11*n - 26. Calculate h(g).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**0))\/d)\/d**10)\/(d**10\/d*d*d**12) assuming d is positive.\nAnswer: d**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 3, f: 1, d: 1, p: 3, q: 8}. What is prob of sequence dpqq?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 68087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3523815 and 2?\nAnswer: -7047630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1640)\/(-204) - (-20)\/(-510).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (170\/45 - 8). Which is the second biggest value? (a) -0.05 (b) -7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 247 + 14705?\nAnswer: 15053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 3*z**3 - 3*z**3)*(2 + 1 - 1)*(-92 + 92 - 14*z).\nAnswer: -56*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 3853.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 9*i - 69. Let o(b) = b**2 + 4*b - 34. Let z(t) = -9*o(t) + 4*s(t). Let u be z(0). What is the greatest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23779497 at least as big as -23779496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1111110000011001?\nAnswer: -1111110000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81 + 11)*3\/(-2). Suppose -3*y + 0*y + v = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.70577 to one decimal place.\nAnswer: 28.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*720\/(-450)*2\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 2 - 2 + (18*i**2 - 816 + 816)*(-3 + 2 + 3).\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 1070 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.35593 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d - 2*q + 9 = 0, -3*d + 11 = 2*q. Let r(a) = -10*a**2 + 4*a - 3. Give r(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 14*v + 9. Let o = 45 - 39. Let p be z(o). Sort -4, p, 5, -6 in increasing order.\nAnswer: -6, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2431, -4727, -7023?\n\"Answer: -2296*n - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*h**3 + 108*h**3 - 44*h**3 + (h**2 + 3*h**2 - 3*h**2)*(2 - 3*h - 2).\nAnswer: 33*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35794 and 6281.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -11\/3, -25, 2\/3 in descending order.\nAnswer: 2\/3, -2\/9, -11\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 28\/2785?\nAnswer: 28\/2785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (3 + -2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 31*a + 44. Let j(r) = -10. What is -3*j(m) - s(m)?\nAnswer: 2*m**2 - 31*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 + -420282?\nAnswer: -4202b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -0.3. Let y = 11 - 17. Let n = y - w. What is the nearest to 0 in -0.4, -1, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o - 23. Let s be k(20). Suppose 6*c - 4 = 4*c. Let i(j) = 4 + s*j**3 - 156*j**3 - c*j - 5*j - 4*j**2. Give i(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/1 + 4. Let v = 10428 + -10420. Suppose -a*y + 3*n = -11131, 3*y - v*y + 13928 = n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(50)*-3)\/sqrt(10) - -6*sqrt(1280)).\nAnswer: 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88219300 a multiple of 1995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.227 less than -26.020361918?\nAnswer: -26.247361918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 726071871 to the power of 1\/2, to the nearest integer?\nAnswer: 26946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/120 + g**5\/5 - 7*g**4\/12 - 4*g**3\/3 - 3212*g**2. What is z(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*k**3*n**2*s + k**3*n**2 - 11*k**3*n*s**3 + 3*k**3*n*s**2 - 299*k*n*s**2 + 22079*n**2*s**3 + 5*n wrt s.\nAnswer: -66*k**3*n + 132474*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*11\/33*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -0.05. Let y = z + -0.12. Let h be (-22)\/(-6) + (-1)\/(-3). Which is the closest to 1? (a) -0.1 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23926098.\nAnswer: 2, 3, 7, 79, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 20*z**4 - 60*z**3 + 160*z**2 + 320*z.\nAnswer: 5*z*(z - 4)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 9*t - 6*t - 4*t in the form m + h*t and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 7*a + 35.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Let u(b) = -b**3 + 4*b**2 + 5*b + 7. Let w be u(g). Let h = w + 1. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/11 and 52\/737903.\nAnswer: 8116933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:34 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 921497 to the power of 1\/2, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12))\/((2\/2)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2) - 1)*(0 + -8). What is the first derivative of 20 - 19 + r**s + 2*r**4 wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266 - -19708. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210022022 (base 3) to base 15\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 6173323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00805158 to five dps.\nAnswer: 0.00805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 0, 4, 230 in increasing order.\nAnswer: -10, -1, 0, 4, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:59 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 635752025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -13.3354\nAnswer: 53.3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 18. Suppose -12*n + 396 = -n. Suppose 2*j = -36 + n. Calculate the remainder when d(j) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22271 + -2?\nAnswer: 22267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -36, -16516.\nAnswer: -16516, -36, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 1.9. Let g = -3.9044 - t. What is g rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 173?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56679702\/11 - 238\/1309. Round r to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -2 - 16\/(-7). Let s = -41\/66 - -247\/132. Which is the closest to s? (a) 4\/7 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -30*b + 31. Let o(j) be the first derivative of -b - 2\/11*j + 0*j**2 + 2\/33*j**3. Find n such that o(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/13)\/c)\/(c\/((c\/c**(5\/6))\/c*c*c))*c**21\/c**7 assuming c is positive.\nAnswer: c**(1045\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + 3 + -1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -4*n + 2074. Suppose 2*w = -2*w + n. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 5*k - 105 = 0, 2*n - 54 = -5*k. Let s = n - 24. Which is smaller: s or -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 1490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 782244343 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.945681us?\nAnswer: 0.00000046576135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 65.99885. What is t rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let x(y) be the third derivative of 17*y**4\/24 + 8*y**2. Determine x(a(t)).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/13 (c) -0.2 (d) 6.89836 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 12}. Give prob of sequence jhh.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4353?\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let i(r) be the third derivative of r**5\/30 + 18*r**2. Give j(i(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let d(l) = -93*l + 10. Let b be d(2). Let j = b - -181. Put 0, j, h in decreasing order.\nAnswer: j, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*i - 1 + 64*i - 1 - 3*i + 3*i + 2*i + (10 - 7 + 6)*(-i + 2*i - 3*i).\nAnswer: -13*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (22 - 22) - 20 - 43.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmhc when four letters picked without replacement from mmmcmqmmcchjmqqqmmqm?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227238845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-146)\/36 - (16 - 243\/18)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 12*n**2 - 19*n - 10. Let z be g(10). Let c = 16 + -10. Let q = c + -1. What is the nearest to z in q, 4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15841574644 + 2*o**3 + o**3 + 15841574490.\nAnswer: 3*o**3 - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3756266298 to the power of 1\/2, to the nearest integer?\nAnswer: 61288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e + 0?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113319 by -3.\nAnswer: -37773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4063 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 4308*f + 1546572.\nAnswer: 3*(f + 718)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**2 + 108705*w + 2931390 = 0.\nAnswer: -21714, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212 + -10132003?\nAnswer: -10130131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 - 0.8. Suppose -1167*w + 17 = -1177*w + 7. What is the second biggest value in 0.3, v, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 5*a - 1. Let c be 8\/(-36)*1*-9. Let m be c*6\/4 + (-3 - -4). Let o be l(m). Let y(g) = -3*g + 3. Let h(x) = 4*x - 4. Determine o*y(q) - 4*h(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/5964214 and 45\/30134.\nAnswer: 77534782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5246127 to the power of 1\/2, to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-8)\/(-2))*(-1 + 27). Let q = -9 - g. Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 39\/(-624) + (-118659)\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 956992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(7*v - 4*v - 2*v) + (6*v - 2*v - 2*v)*(-47 + 62 - 31) + 4*v - 2*v - 3*v + (1 - 1 + 2)*(3 - 3 - v) to the form i*v + m and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/((-945)\/14) + 3. Factor -r**2 - 6\/5 - y*r.\nAnswer: -(r + 3)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380989, 761967, 1142945, 1523923, 1904901?\nAnswer: 2285879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 0, -74.\nAnswer: -74, 0, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:09 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.002611\nAnswer: -0.013055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81071851 to the power of 1\/2, to the nearest integer?\nAnswer: 9004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 5*v - 32 = 0, 0 = -2*y + 3*v + 24. Suppose 0 = -3*p + 16 + 2. What is the remainder when 12\/(-8)*(-64)\/p is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-11 + -5 + (8 - -23 - 7)) - -83?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*k - 23, -l - 3 = -k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2. Let l(v) = -v - 1. Let n(i) = 5*i**2 + 3*i + 3. Let j(s) = 6*l(s) + 2*n(s). What is t(j(x))?\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:29 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3158 or -3154?\nAnswer: -3158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - n = -10, 2*n - 16 - 7 = -5*l. Suppose l*g + 16 = 352. What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055 (base 6) in base 7?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55109806 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*s = n - 671, s = -4*n + 677. Suppose -5*b + n = -0*b. What is the highest common divisor of 85 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 86.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68760, -68754, -68734, -68694, -68628, -68530, -68394, -68214?\n\"Answer: j**3 + j**2 - 4*j - 68758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from hhhahhayhhahaahahaaa?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*w = 828*w - 126 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 14) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - 1.25. Let q = -1163266.6 - -1163265.39999925. Let o = l - q. Round o to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 4. Let w be (-22)\/(-11)*(-2)\/(24\/18). Let u(g) = g. Let y(m) = 4*m - 3. Let v(a) = 2*u(a) - y(a). Give w*v(z) - 2*q(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 - 2196*d = 0.\nAnswer: 0, 1098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71779*s**2 - 142291*s**2 - 1 + 75968*s**2)*(-5 + 1 + 3).\nAnswer: -5456*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8432 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2459626 - 5?\nAnswer: -245962b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -594*f**4 - 9*f**3 + 6*f**2 + 1596*f. Let m(n) = 2*n**4 + 3*n**3 - 2*n**2. Let x(v) = -b(v) - 3*m(v). Find the second derivative of x(t) wrt t.\nAnswer: 7056*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2040 = 14*a + 2790. Let d = -327 - a. Suppose -76 = -5*r + 224. What is the smallest common multiple of r and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1161886*j**4 - 175959*j.\nAnswer: -13942632*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 + -464\/3. Which is the nearest to -1\/3? (a) g (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)\/b*b)\/(b**(3\/5)\/b)*(b**3\/b)\/(b**(-8)*b))**(5\/8) assuming b is positive.\nAnswer: b**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 2. Let b be s(-5). Suppose -5*n + 5 = -5*q, 4*q + 20 + 5 = -3*n. Let h = b - n. Let g(m) = m. Determine g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 3*y + 21. Let c be d(-6). Let m = 2 + c. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + (-354)\/8. Let v = -24 - o. Calculate the remainder when (4 - 2 - 4) + 40 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -82326890*z + 326646. Let w(q) = 6049*q - 24. Determine -4*v(u) - 54441*w(u).\nAnswer: -6049*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/36 + (170\/(-12))\/(-17)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1)*p*p))**41\/((p**(3\/7)*p)\/p**3)*(p**5\/p**(-2\/7))**(-1\/31) assuming p is positive.\nAnswer: p**(304\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*d - 4*k, 42*k - 36*k = -2*d - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4156 - 4153. Put y, -5, -209 in descending order.\nAnswer: y, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(105)\/sqrt(5))\/sqrt(3) - sqrt(56)\/sqrt(32)).\nAnswer: sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79.33 - -79. Let a = 0.03 + l. Let f = a + 0.205. What is f rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 628374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 greater than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-90))\/(-7 - (-224)\/35)*18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i**3 + 9*i**3 + 1 - 2*i - i**4 - 3*i**2 + 11*i**2 + 12*i**3 to the form y*i**2 + x*i**4 + a*i + g + n*i**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 - 0.19. Let h = j - 0.5. Let m = 209\/4 - 52. What is the closest to -0.3 in m, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -38*i + 871. What is u(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.287 + -0.113. Which is the second smallest value? (a) w (b) 0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-30)\/(-5) - 7) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3737 (b) 3\/8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95083914 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 16 = 9*s + 13*s. Is s at least 1\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 5:22 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -24\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = 0. Let c be (q - 8\/6)*-3. Is 4 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711629?\nAnswer: 3, 190181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -829444, -829440, -829436, -829432, -829428, -829424?\n\"Answer: 4*w - 829448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 3, v: 4, g: 2}. What is prob of sequence lq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 21414*t - 64269.\nAnswer: 3*(t - 3)*(t + 7141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.6 - -0.6. Let c = p + 118.1. Let x = -5.0986 + c. Round x to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d + 2*d - 11*d + 4*d + 13. Let v be p(23). Suppose 4 = 2*n - 4. Calculate the greatest common divisor of n and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 6 = 0. Let y(n) = -n**3 + 0 + 2 + 0*n**3. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddniidididddii. What is prob of sequence dini?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.66, 2\/7, -3\/8, -1, 2\/5 in increasing order.\nAnswer: -1, -0.66, -3\/8, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/12*8\/228.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**2 + 6*q - 6. Let h be j(3). Let d = h - 77. Let b = d - 32. Solve -6 = -b*n - n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*(3 - 0). Let n(k) = -2*k**3 + k + 1. Let l(m) = -2*m**3 + m + 4*m + 1 + 0*m - 3*m. Determine q*n(w) - 3*l(w).\nAnswer: -2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -120*v + 2646. What is p(17)?\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from xxyqxyfqqm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5)*n)**(1\/15))**23\/((n\/n**(-2))\/n**(-9)*n**9*n**6\/n) assuming n is positive.\nAnswer: n**(-1858\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -112, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/13701 and -101\/30.\nAnswer: 137010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 348883 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -47895604.3 plus -40?\nAnswer: -47895644.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 889634*v**3 + 889623*v**3 - 1779267*v**3.\nAnswer: -10*v**3 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 21. Let p be d(-8). Suppose 0 = 12*i - 11*i - 4, -p*y - 2*i + 8 = 0. Solve 3*n = n - y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*f = -359*f + 81. Sort 69, 0, f, -2 in increasing order.\nAnswer: -2, 0, f, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/3 (c) 2\/18851 (d) -0.96 (e) -3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*28\/(-6)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**2*s**2 - 385*o*s**3 - 5*s**3 + 367*s**2 - 2*s with respect to o.\nAnswer: -6*o*s**2 - 385*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 267448.4 centuries?\nAnswer: 26744.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 4, r: 2, s: 3, m: 2, t: 1}. What is prob of sequence to?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 23, 15, 6.\nAnswer: 1, 2, 6, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*180\/(-160)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 2. Let o be c(2). Suppose o = p + 4*p - 20. Suppose 2*l - 3*w = -4*w + 26, 5*w - 70 = -5*l. Solve 4*j + 0*s + 36 = p*s, 4*j = -2*s - l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**4 + 1071*k - k**2 - 1071*k + 4*k**3 - 4 as v*k**3 + l + z*k**2 + q*k + w*k**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 + 1 = 0. Let x be b*4\/8*1. Find f such that -6*f**2 + 8*f**2 - x*f**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((u**(-2\/21)*u)\/u*u)\/u)\/u)\/u)\/u)\/(u*u\/(u\/(((u*u**(-6))\/u*u)\/u))))**33*((u*u*u**(1\/3)*u*u)**(-28))**(-17) assuming u is positive.\nAnswer: u**(44636\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/(6\/(-634)). Let x = k - -53. Sort 0.1, 0.3, x.\nAnswer: 0.1, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -25. Let c be (-182)\/f - (-2)\/3. Solve -c*d = -4 + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33074871 by 61.\nAnswer: 542211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 138*f + 3169. Calculate u(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1988*o - 73556. Calculate t(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 8*i**2 - 11*i - 6. Let y be u(-5). Let w = 46 + y. What is the greatest common divisor of 60 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11122307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5287 - 24*f + 5046 - 2*f. Calculate j(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -2516\nAnswer: 9\/2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47096 and 4536.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010111101101101 - 10?\nAnswer: -1000010111101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 51. Let c(i) = 292*i + 203. Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:49 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/3)\/s)\/s*s)\/s*s*s**4*s)**(-39)\/(((s*s**1*s*s*s)\/s)**(-2\/53)\/(s**(-2\/15)\/s*s*s**(-6))) assuming s is positive.\nAnswer: s**(-149446\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*i - 4 - 0, -3*i + 10 = 2*k. Suppose -q = k*p, 0 = 4*q - 2*p + p. Suppose q = -2*u - u + 135. Calculate the greatest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6*i + 2 = 0, 3*b = i + 22. Solve -x = 4*k - b, 0 = k - 5*k + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {g: 4, j: 6, m: 3, l: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3*(-6)\/63 - 44312\/(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21543 divided by 12.\nAnswer: -7181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 3943*y + 1876254. Calculate f(1169).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10481, -4, -18, 1 in decreasing order.\nAnswer: 10481, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -2. Let l(m) = -m**2 - 5*m + 5. Let t(d) = 0*d - 3*d + 7*d - 4 + d**2. Calculate k*t(v) + 4*l(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5334 = 6*r - 960. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2.61, 10\/101?\nAnswer: 2.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/22*44\/(-88).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 + 1685883*k**2\/2 - 3371774*k = 0 for k.\nAnswer: -1685887, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.8? (a) 4 (b) -2\/111 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m + 6*m)*(-1941 - 2*m**2 + 260 - 712).\nAnswer: -14*m**3 - 16751*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5502 and 6?\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27702.7599 rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6537 + 6409 = -10*f - 22*f. Factor 0 + 7\/3*g**f - g**3 + 0*g**2 + 0*g.\nAnswer: g**3*(7*g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 2*u + 20. What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2197992\/11 or -199818?\nAnswer: -2197992\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 7*d + 2. Let r(l) = -l + 2. Let o be r(2). What is the lowest common multiple of o + (2 + 4)\/3 and j(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200284 + 188391 = -4712*n - 186189 for n.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 - 1)*(0 - 1 + 2) - 1 + 3 - 4)*(29*b**2 - 210*b**2 + 79*b**2) as p + g*b + o*b**2 and give o.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -34*v + 124. Calculate i(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**8\/20160 + 13*r**7\/5040 + r**6\/120 + 14*r**5\/15 + 47*r**2. Let v(q) be the third derivative of o(q). Give v(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 617318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b. Suppose -5*d + 2 + 13 = b. Let x be (d - -2)*(-18)\/(-30). Solve i = 5*g + 6 - 25, -x*g + 11 = -i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2049, -2033, -2007, -1971, -1925, -1869?\n\"Answer: 5*q**2 + q - 2055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2993 = -15*c + 38063. Calculate the least common multiple of 22 and c.\nAnswer: 25718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-16 - -12 - (-4 - (0 + -8))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = 24. What is the greatest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 3. Let r be f(-7). Solve r*t - 2*t = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -r + 2, 85*n - 14 = 80*n - r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 - 4*t + 3. List the prime factors of o(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 6, z: 8}. Give prob of picking 1 n and 1 z.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17382274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545122 - 772563 - 772559 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4032708 by -1008177.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*v - 11*v - 65, 4*s = -2*v - 46. Let j = s - -9. What is the second derivative of -25*u + 14*u**5 - u**5 + j*u**5 wrt u?\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + 5*m + 45 - 25*m + 44 as k*m + v and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pbpppppppbppppppbppb.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0431 * -0.5\nAnswer: -0.02155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.1, -8, -5\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 62. Let p = q - 38.000088. What is p rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2980 - 1367. What are the prime factors of i?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 25*g**2 - 12*g + 7. Let t be 72\/(-48)*(-32)\/6. Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*g + 420 = 0, c = 3*g + 103 - 19. Calculate the highest common divisor of 588 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-140))\/(107046\/6237 + -17 + 1\/(-9)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000241371 rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5*(-3)\/(6\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/((-15)\/33*-11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -23 (b) -3 (c) 1.5 (d) -4 (e) -3\/8 (f) 0 (g) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j - 7*j - 24*j**2)*(6*j + 0*j - j) + 5*j - j**3 - 5*j as b + k*j + x*j**3 + w*j**2 and give x.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 18*n**2 - 707*n - 465. What is y(14)?\nAnswer: -1347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -15*4\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -3.92 (c) -2 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 3. Suppose -t = -6*t. Suppose t = -o - 7 - 2. Let l be (-21)\/o - 2\/(-3). Calculate v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Suppose 4 + 1 = 3*t - s, -z*s - 11 = -3*t. Let j be (1\/12)\/(t\/(-2)). Which is the closest to j? (a) 0.1 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 7*j - 4*j + 2*j - 1. Let f be r(1). Suppose l = -f*b, -4*l + 3*b + 16 = -b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (4 - 2)) + -3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 3577?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/5)*h)\/(h\/(h**(-16\/7)*h)))\/(h**20*h**(-14)) assuming h is positive.\nAnswer: h**(-206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-2))\/((-16)\/(-3360))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1078425*a**3*n**2 - a**3*n - 18436*a**3 - 114*n wrt n?\nAnswer: 2156850*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4109, 8246, 12381, 16514, 20645?\nAnswer: 24774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3230 - 33000002?\nAnswer: -32330112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -21*a - 11. Let y = -10 + 12. Suppose -3*b - 1 = 4*h, 2*h = -3*b - 2*b + 17. Let p(r) = -b + 0 - 4*r + 3. Determine y*i(s) - 11*p(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-4)\/3 - 2). Let a be 2108\/20 + 4\/u. Let i = -20 + 35. Calculate the greatest common divisor of i and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 4*m + 9*r - 8, -m + 2*r + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-5) + (-7)\/210*-6. Factor 1\/2*v**4 + i + 0*v - 1\/2*v**3 + 1\/2*v**5 - 1\/2*v**2.\nAnswer: v**2*(v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose 0 = p*b - 5 - 10. Differentiate 60*v**3 - 60*v**b - 3 + 2*v**4 + 4 wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -108, -12\/25, 2, 1\/7, 6 in ascending order.\nAnswer: -108, -1, -12\/25, 1\/7, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -8. Let x be 1 - (4 - 2) - f. Is 8 a factor of (-1 + x)*(-117)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4750, -9492, -14164, -18766?\n\"Answer: 35*v**2 - 4847*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 307, 667, 1131, 1693?\nAnswer: 2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let j be 11\/(-21) - 2\/(-3). Let w be (-5)\/(-15) - 2\/(-21). What is the closest to z in 0, j, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-804)\/(-30))\/((-1)\/(-1315)). Suppose -2*l + p = -23499, -7*l = -10*l - 5*p + h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/130*1352\/(-4056)*(-72)\/(1*-2)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39cff (base 16) to base 3\nAnswer: 110000211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 27222 - 1278 = 744. What is the remainder when 1203 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19861291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*r + 23*r - 448 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 - 483*x + 89 to the form g*x + t and give g.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53721 is divided by 444.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (726\/(-22) - 10714\/(-330))*(-6)\/16.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/6 + 97*q**4\/24 + 128*q**2. Let b(z) be the second derivative of x(z). Let k(l) = l. Calculate k(b(v)).\nAnswer: -120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.031 + -20.969. Let f = i + 17. Let d be (-25 - -23)\/(9 - -2). Which is the biggest value? (a) f (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4937 = d + 4935, 0 = -4*v - 12 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 45?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - ((-3800)\/32)\/(-19). What is the biggest value in j, 2\/3, -20.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000138108 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -1576, -3532, -6270, -9790, -14092, -19176?\nAnswer: -25042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2581140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = 2*n - 1165. Suppose 2*m + l - 1207 = 0, 2*m - l = 233 + n. What are the prime factors of m?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/869 and -76\/1185?\nAnswer: 13035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*u**3 - 276*u**3 - 266*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 7 + 21*k + 3*k**2 + 14*k to the form m*k**2 + r*k + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31337706 and 33780?\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 9427 - 4379 = 0. Let t = q + 2755. List the prime factors of t.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500\/(-220) + (-2)\/11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*m - 13630 = -3*p + 129*m, 4*p - 18168 = -4*m. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -129*p + 456. Let m(a) = -162*a + 458. Determine -4*m(b) + 5*r(b).\nAnswer: 3*b + 448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 3*p**4 + 2*p**4 - 2*p**4 - 2*p**4 + 5*p**4 + (0 + 3 - 2)*(4*p**4 + 0*p**4 - 2*p**4) in the form k*p**2 + o*p + b*p**3 + j + a*p**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8281 + -8281.00003673. Round t to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194 - -1356\/7. Let w = -9.12 + 10. Let o = w - 0.78. What is the nearest to o in d, -5, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(4 + 1 - 3)*(a - 8*a - 3*a) to the form x*a + z and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:11 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55763, -109550, -163337?\nAnswer: -217124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2773371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 + -136.87223.\nAnswer: -140.37223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 + -1?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16705125 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 105 (b) 4 (c) -0.1 (d) 270 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**3 + 6*y - y**3 + 5*y**3 wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x\/((x*x*x**(-1\/3))\/x))\/(x**(2\/3))**(3\/22) assuming x is positive.\nAnswer: x**(-91\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22637.9 litres in millilitres?\nAnswer: 22637900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -194) + -2 + 0 + -2. Suppose x = 7*s + 159. What is the remainder when 178 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2486 (base 10) to base 16.\nAnswer: -9b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 714 = -5*u, 119*v + 3*u + 346 = 121*v. What is the highest common factor of v and 4664?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 42 + 68. What is the highest common factor of 352 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + s + 3. Let k be m(0). Suppose -l = 5*c - k*c - 11, c - 3 = -l. Is 308\/6 + c\/12 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 33037*d - 33041*d + 3*k, 2*d = 3*k - 33 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpp when three letters picked without replacement from {k: 1, p: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-39)*19786\/22830\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, z: 2, d: 4}. What is prob of picking 1 d, 1 i, and 1 z?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -3454?\nAnswer: -3467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 35.1. What is the closest to i in 17, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 13*y = -18. Is y != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**3 + 6*v**2 + 7*v + 6. Let p = -332 + 326. Let m(w) = -17*w**3 - 13*w**2 - 15*w - 13. Suppose 0 = -18*x - 2*x - 260. Determine p*m(r) + x*l(r).\nAnswer: -2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. What is the remainder when 14 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -752469 by 6779.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*q - 76, 5*p = 4*q - 8*q + 98. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5 + 60*q**4 - 135*q**3 - 670*q**2 + 780*q + 2232 = 0.\nAnswer: -62, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 58. Give u(-17).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 15227?\nAnswer: -45681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-94)\/(-6) + 69\/23 and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -197*m + 1776. Determine f(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 5) to base 6.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 42*t. Let z(q) = -q - 1. Let x be 60\/27 - (-8)\/(-36). Let r(c) = x*z(c) - j(c). What is the units digit of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/5 - 10269234*f\/5 + 26364291736689\/5 = 0. Calculate f.\nAnswer: 5134617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obobxxxb. Give prob of picking 2 o and 1 x.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 8*z = 106. Let y = z + -53. Suppose 2*r = -2*w + 6*r + 50, y = -4*w + 2*r + 88. Solve 2*m - n = -6, -5*m + 0*n + n = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01044 times -1.2?\nAnswer: -0.012528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 288 = -3*x + 303 - 609, -64 = 6*x + 3*l - 7 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*w - 24 = -160*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 497*i + 7451. What is j(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6661*f**3 - 17345246*f**2 - 51980991*f - 15606 = 0 for f.\nAnswer: -2601, -3, -2\/6661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 10. Let n be k(8). Let r = n + 0. Solve -r - 4 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((539\/(-11760)*-30)\/((-21)\/3))\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 6. Let x be s(-5). Let d be 52\/(-60) - 1\/(-5). Which is the nearest to x? (a) d (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 times -0.065?\nAnswer: -0.1079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 442501102 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -412*c + 412*c + c**2. Let z(v) = 44*v. Calculate z(h(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.25009 times -0.05658\nAnswer: 0.0141500922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150114, -150116, -150118?\nAnswer: -150120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let g = x + 10. Calculate the common denominator of (-6)\/(-22)*(-5)\/g and -5\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4139*h**2 + 171*h. Let p(z) = -4138*z**2 - 228*z. What is -3*p(s) - 4*w(s)?\nAnswer: -4142*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/55)\/((-5)\/(-65))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 896047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/1036*-1414*3\/(-3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 727431*g**2 - 132309694287*g - 7539289336233.\nAnswer: -(g + 57)*(g + 363687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229567 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*301*(8\/5 - 2). Suppose k*w = 606*w - 16. Solve 16 = -m - 0*m + 3*z, z - w = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(3\/(-18)). Suppose 0 = v - 4*x - 6, -q*x + x = -5*v + 12. Factor 0*z + 2\/7*z**v + 2\/7*z**5 - 2\/7*z**3 + 0 - 2\/7*z**4.\nAnswer: 2*z**2*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -10\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + -1.06. Let p = o - -0.4. Let t be ((-8)\/10)\/(-6 + 4). Which is the smallest value? (a) t (b) -1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4808 + 0*q**2 + 4334 - q**2 + 474.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2256 - 6766\/3. Let v = 4.94 + 0.06. Sort h, v, -4, -2\/15 in decreasing order.\nAnswer: v, h, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 8*g**2 + 3*g + 5. Let f be s(9). Find the second derivative of 9*y + 13*y - 2 + 63*y - f*y**3 wrt y.\nAnswer: -678*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-5*44\/55). What is the biggest value in -0.19, n, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163501.\nAnswer: 13, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z**3\/3 + 37*z**2\/2 - 48*z - 6054. Calculate x(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/25)\/(92\/(-230))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211111101212 (base 3) in base 6?\nAnswer: -32514205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1000110100000111111 (base 2) to base 9\nAnswer: 480173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/44))\/(k*k*k**(2\/53)*k) assuming k is positive.\nAnswer: k**(-4805\/2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 4922*m**6\/15 - 283*m**4\/12 + 3*m**3\/2 - 2202*m. Find the third derivative of r(o) wrt o.\nAnswer: 236256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvntnvnnmtnvnvnv. What is prob of sequence tm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 - (15 - (-8 - -21 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0 (c) 0.2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.5 (b) 2 (c) -26 (d) -1\/2 (e) -0.01 (f) 1228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-15) - (58\/5 - 11).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - p - 12 = 0, -3*p = -2*y + y + 8. Let g(b) = -7*b**3 + 26 + 24 + 2*b**y - 51. Let o be (-4)\/(-10) - 6\/(-10). Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w + 154. What is the remainder when x(-12) is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 32*d - 36 = 0. Suppose -16 = -d*h + 8*h. Suppose 5*m - 89 - 11 = 0. Solve h = -4*x + m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386637.\nAnswer: 7, 198091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*t - 59*t - 114 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-75*51\/((-169830)\/888)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 257999572 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 8*m**2 - 8*m + 8. Let f be a(-9). Is f*(-4)\/(8\/254) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529012?\nAnswer: 2, 3, 73, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/56862 and 95\/472878.\nAnswer: 55326726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, c: 5}. What is prob of picking 4 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356 = 3*p + 2*h - 1041, -4*h = 0. Round p to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*1 - 10\/5. Let t(y) = y - 4. Let a be t(5). Suppose -5*v + a - 26 = 0. Sort d, v, -2 in decreasing order.\nAnswer: d, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010110110011101 + 100?\nAnswer: -10000010110110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3 - 47712*l**2 + 1959726*l + 4110284 = 0?\nAnswer: -23897, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1162*f + 8369. What is x(8)?\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/4191, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46099 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 10 + 1633*o - 1633*o - 26 in the form v*o + b + n*o**2 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/2520 + 7*l**4\/12 - 19*l**2\/2 + 124*l. Let j(a) be the third derivative of z(a). Let p(v) = -10*v**2. What is j(p(c))?\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (9546\/(-4) + 2)\/((-17)\/34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l. Let t(o) = 24339126*o**2. Determine t(c(x)).\nAnswer: 1557704064*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27686 - -27698. What is the least common multiple of n and 219?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((125 - 6) + -50).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 821086 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: Suppose 3*u**5 + 2943*u**4 - 167145*u**3 - 2837115*u**2 - 5161038*u - 2494008 = 0. What is u?\nAnswer: -1034, -12, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f**2 - 6. Let l(z) = 3*z**3 - 4*z**2 + 6*z + 10. Let y be l(-1). What is m(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1085*w - 96589. What is b(-89)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -16 - -6) + -4 + (2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 11*o - 2. Determine t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*1*3 + (sqrt(117)*2 - sqrt(117) - sqrt(117))*1)\/(-3*(sqrt(9) + ((sqrt(180)\/sqrt(4))\/sqrt(5) + sqrt(9) - sqrt(9)))) + 0.\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*a**4 - 191663*a**3 + 191662*a**3 + 37*a**4 - 135*a**2 wrt a?\nAnswer: 1584*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 97\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 267*n**7\/14 - n**6\/30 - 2849*n**3\/6 + 6*n + 9. What is the second derivative of r(c) wrt c?\nAnswer: 16020*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -55. Let p = -73.6 + 96.6. Let w = f + p. What is the closest to -1 in -0.01, 0, w?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 + 2. Let v be r(-4). Let a be v\/6 + (-357)\/(-9). Suppose a = b + b. What is the greatest common divisor of 40 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u + 9*u + 23*u + 21*u. Let y(k) = 7*k**2. Let d(s) = -144*s**2. Let w(p) = -2*d(p) - 42*y(p). Calculate w(a(o)).\nAnswer: -20886*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 662.8251kg?\nAnswer: 662825.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f)*(-4 + 4 + 2) + f + 100 + 2*f - 102.\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 865*a**2 - 3*a + 4. Let f be r(4). Let d = 193561\/14 - f. What is the common denominator of d and 111\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/43321 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - 0.8. Let l = -7.4 + 7. What is the smallest value in 0.4, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l\/(l\/(l\/(l**(-1\/4)*l)))))\/(((l\/(l**(-16)\/l)*l)\/l)\/((l*l**(-10)*l*l)\/l*l)) assuming l is positive.\nAnswer: l**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1445715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194968 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 2*j - 58. Let h be i(0). Suppose -7*u - 4*g = -5*u + 2, -2*u + g = -3. Put h, -3, 3, u in decreasing order.\nAnswer: 3, u, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2035 - 2343?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/120019?\nAnswer: -11\/120019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 5\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -37*d + 33*d. Let r(u) = 7 + 51*u - d - 6 - 5. List the prime factors of r(4).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9 - 6 - 14*w**2 + 2*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -59*p + 23 + 61*p + 1672*p**2 - 1673*p**2. Calculate x(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 825.4 to the nearest 10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 15*y**2 - 558*y + 5647. Determine m(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/143 and -36\/41093.\nAnswer: 452023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -283721*n**3 - 54*n**2 + n - 122044183 wrt n?\nAnswer: -851163*n**2 - 108*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -155, -3, -11, 0, -0.1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13628749*r**2 - 926011*r + 2.\nAnswer: 27257498","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -4, 0, -3 in descending order.\nAnswer: 32, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(-a - 2*a + 4*a) + 0*a + a - 6*a)*(2 - 3 - 1)*(3*a - 1 + 1).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2331200 + 90?\nAnswer: -2331120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272760.9 rounded to the nearest 100?\nAnswer: 1272800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5517810 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/12)\/(3*(-2)\/(-4))*3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -ed4?\nAnswer: ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 300 = -3*l + 85, 2*l + 3*z = 256. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4834 + -4829. Let c = 0.17 - -0.03. What is the second smallest value in c, s, 46?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-196)\/(-216)) + -3. Let g be (-85)\/18 - (-6)\/27. Let w = u + g. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31357, 31389, 31421, 31453, 31485?\nAnswer: 31517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.6485 hours in microseconds?\nAnswer: 3569934600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 82.8 (b) -2 (c) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9))**(-41) assuming c is positive.\nAnswer: c**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130530288.9 - 1172?\nAnswer: -1130531460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*a + 0)*(-2*a**2 + 2*a**3 + 2*a**2) + 7*a**4 - 10*a + 10*a + 0*a**4 + 0*a**4 - 2*a**4.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 54\/5 of a millisecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) -126 (c) 3\/4 (d) -1.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 40. Suppose -3*f + 5*f = -4*h - 16, -2*f = -4*h - q. Let c(o) = o - 5. Give c(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-1) - (-58528)\/1652?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1351286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 2*o**2 + 17 + 2*o**2 - 23*o**3 wrt o?\nAnswer: -69*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/69))\/g*g)\/((g*g**16*g)\/g) assuming g is positive.\nAnswer: g**(-1102\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 26 - 7 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from gjjgjggggjgggj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 22*a - 39*a - 5 + 4 + 20*a.\nAnswer: 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 18385?\nAnswer: -1838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Let r = -2 + l. Suppose 0 = p - r*p + 48. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 1 = -5*k, 0 = 2*k + 5*b - b + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-10\/9))\/i**0)\/((i\/i**4)\/i*i*i\/i**(-4\/15)) assuming i is positive.\nAnswer: i**(173\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = -4*q + 26*d + 27144, 0 = 5*q + 6*d - 33931. List the prime factors of q.\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43741*-0.875\nAnswer: -38273.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 232*y + 9 - 18 - 26 - 244*y.\nAnswer: -12*y - 55","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 + 9*k**2 + 68*k + 228. What is z(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398a (base 14) in base 12?\nAnswer: 5a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u - 7*u + 18*u)*(2*u + 0*u - 4*u) - 2*u**2 + 2*u**2 + 2*u**2 - u**2 + 5*u**2 - 2*u**2 to the form c + h*u**2 + r*u and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 48. Let u(t) = -7*t - 11. Let m be u(-5). What is the highest common factor of m and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198600.9776 take away -5084?\nAnswer: -1193516.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 0*p**2 + 2\/15*p**6 - 6\/5*p**4 + 2\/25*p**5 + 6\/5*p**3 + 0*p + 25. Find u, given that q(u) = 0.\nAnswer: -3, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, i: 1, w: 1, a: 2, t: 1}. Give prob of picking 1 t, 1 a, and 1 i.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3324330 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -635 - -34289\/54. Calculate the common denominator of -85\/48 and t.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 21*g - 193. What is the remainder when 139 is divided by p(29)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*w = 11, -g - 4*g = 4*w + 27. Let y = g - -7. Is 0 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 3 (b) 28 (c) 0.1066\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38 - 720 - 871 + 1012*t**3 + 324*t**3 wrt t.\nAnswer: 4008*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735331 (base 9) in base 16?\nAnswer: -6aace","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 31*t)*(-15*t - 26 - 20*t + 34*t) to the form g*t**2 + h + l*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33301?\nAnswer: 33301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*m**3*n**3 + 20*m**3*n**2 - 1540*m**3*n - 3*m**2*n**3 - 84866*m**2 + m*n**3 - n**3 - n**2 + 1 wrt m?\nAnswer: 54*n**3 + 120*n**2 - 9240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*a**2*n + 3343*a**2 + 19*a + 902*n wrt n.\nAnswer: 132*a**2 + 902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 3*b + 9 + 10 - b**2)*(-7 + 4 - 5).\nAnswer: 8*b**2 - 24*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + (-44)\/6. Let n(z) = z**3 + z**2 - z + 1. Let t(y) = 1833*y + 8*y**2 - 1826*y - 16 + 9 - 15*y**2. Determine r*n(f) - t(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - 2 - (-14 + 74 - 41).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(2205)*-2)\/(sqrt(144) + 5*sqrt(144)*-1 - (-2*(sqrt(144) - sqrt(144)*1) - sqrt(144) - sqrt(144))).\nAnswer: -21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9550 at most as big as 9552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -3*z - 20*p + 919, 0 = -p - 4. Suppose -113 = -3*x + z. List the prime factors of x.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 126?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**3*n**3 + 3*h**3*n + 1421*h**3 + 194*h**2*n**3 + 11*h**2*n - 13*h*n**3 wrt h?\nAnswer: 90*n**3 + 18*n + 8526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(612)*-2 - sqrt(612))*-5 + -3 + 4 + (sqrt(612) - (sqrt(612) + sqrt(612) + 2 + sqrt(612) + 0 - sqrt(612)) - sqrt(612)) + -1)*2)**2.\nAnswer: -44928*sqrt(17) + 14894208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooookkooovvvkvokkv. What is prob of picking 1 o and 3 k?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from nhygyjrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6214.\nAnswer: 2, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14499366 divided by -2037.\nAnswer: 7118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 2. Let u be v(2). Suppose -4*t - 40 = 2*i - 222, 3*t + 2*i = 135. Let o = 57 - t. Calculate the greatest common divisor of u and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52120 + 7.4243\nAnswer: 52127.4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 7*c**5\/15 + c**3\/3 - 135*c**2\/2 + 2*c + 4. Let w(k) be the first derivative of f(k). Let r(p) = -p. Give r(w(n)).\nAnswer: -28*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -7, 4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlp when three letters picked without replacement from qjlvpqlvpvpqvqmplql?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 415*r - r**3 + 0*r**3 - 417*r. Calculate m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 406*x**2 - 21582*x - 98010 = 0. What is x?\nAnswer: -99, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16813 and 5662025?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68412010.\nAnswer: 2, 5, 179, 38219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -750 - 57?\nAnswer: -7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -384992 < -384991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 122680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.77, 0.4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (72\/(-15))\/(7\/(-70)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptgst. What is prob of sequence sgp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 45, 63, 87, 117?\n\"Answer: 3*v**2 + 3*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20717, 20471, 20225?\n\"Answer: -246*q + 20963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 205203 = 5*u + 205211, 5*b + 3*u + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 22477616?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -86*j**3 - j**2 - j - 1. Does 14 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than or equal to 44\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 8*m**2 + 9*m - 5. Let o be d(7). Let c = -654 - -654. Solve 3*k - o = -c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 95*t**2 + 147*t - 5. What is n(-49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6866 + -6855. Which is the closest to 0? (a) -0.4 (b) m (c) -0.06 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 60)*4\/8. Suppose -154 - i = 4*g. Let n = g - -70. What is the remainder when 71 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 18.2. Let l = x - -10. What is the third biggest value in 1\/7, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2014019080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -114*u + 3. Let h(a) = 34728*a. What is y(h(f))?\nAnswer: -3958992*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*j - 6 = 12, 2*j = -2*z + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/55027?\nAnswer: 10\/55027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 - 2.673. Let h = s + -5.027. Suppose 0 = -3*u - 5 + 14. What is the second smallest value in u, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 4*u - 3*u**2 + u**2. Let x be i(0). Sort x, 3, -0.7.\nAnswer: -0.7, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -709, -3 in decreasing order.\nAnswer: 21, 4, -3, -709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.54 in -80, -1\/4, 0.26, -0.2, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1198*n**3 + 16*n**2 - 28*n + 23. What is the thousands digit of x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/3 - 2\/(-3). Suppose v = -4*v + q. Suppose -5*y + 27 = 4*r, -5*r + v*y + 75 = -0*y. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 11. Calculate the remainder when 24 is divided by l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 897 and 79939743.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 11*n + 1. Let q(w) = -4*w**2 + 22*w + 2. Determine -3*q(c) + 5*t(c).\nAnswer: 2*c**2 - 11*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*o - 6*o + 57 = 0, -o = 2*j - 39. Solve 0 = -3*t + 2*l + 1, -3*t - 2*l - j = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. Calculate the remainder when 6\/(-3) - d - -42 is divided by (-1 - -1)\/(-1) + 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -653*z**2 + 535*z**3 + 322752 - 48364*z - 57252*z - 536*z**3.\nAnswer: -(z - 3)*(z + 328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {m: 2, o: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**2 + 0*p**3 + 5 - 3\/4*p**4 + 0*p. Find the second derivative of c(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 20586472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 4. Let b be a(10). Suppose -15*r + 29*r = -1358. Let s = r + b. Is -1\/3 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*u + 387*u - 849*u)*(-u**2 + 0*u**2 - 4*u + 0*u**2).\nAnswer: 195*u**3 + 780*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**9\/10080 + u**8\/2016 + u**7\/1260 - u**5\/20 + 2*u**2. Let n(i) be the third derivative of c(i). Factor n(p).\nAnswer: 2*p*(p + 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:32 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*l = -0*f - 16, -2*f - 8 = 3*l. Let o be 5*2\/10*f. Let q = 4.07 - 0.07. Sort o, -0.4, q in increasing order.\nAnswer: o, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jngnbngnjningn. Give prob of sequence nb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -20, -5, 4.\nAnswer: -20, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4781 or 4768?\nAnswer: 4781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.6 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 5271.\nAnswer: 263550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 2*p**3 + 26*p**2 - p**3)*(-p + 2*p - 3*p).\nAnswer: -2*p**4 - 62*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 14 (b) 0 (c) 0.4 (d) -1 (e) 221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 49\/107615?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1.1 (b) 0.03 (c) -2\/3 (d) -0.03 (e) -0.0058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 13 = 5*m - 4*m, 0 = -l + 3*m + 14. What is the remainder when -34*l\/(-20)*2 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39801.\nAnswer: 3, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i + 3. Suppose -4*d - 9 = 4*h - 1, -d - 14 = -5*h. Sort 3, h, -5, i in increasing order.\nAnswer: -5, i, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 456\/4 + (4\/2 - 5). What is the second derivative of -101*v**3 - 19*v - f*v**3 + 191*v**3 wrt v?\nAnswer: -126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 3:40 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y + 2*y - 14*y**2 - 3*y + 11*y**2. What is j(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*1)\/(((-51940)\/882)\/53)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404217971 to the nearest integer?\nAnswer: 20105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/24 - (-2)\/(-24). Let s be (-10)\/15*3\/2. Is t > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3 + 43. What is the greatest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0156*-305\nAnswer: 4.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 4*x - 4*x + 2*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + 17 - (1563 + -1498)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*o - 3. Let z(d) = -d + 21. Let f be z(o). Suppose v - f*j - 282 = 0, 4*v + 2*j = 2*v + 604. Is v 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 32 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from {d: 2, l: 1, m: 3, z: 6}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -818 and 770992837835.\nAnswer: 770992837017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (781\/33)\/(4\/3) and 73\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (10 - 28 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 71376, 140598, 209820, 279042, 348264, 417486?\n\"Answer: 69222*d + 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 23.4. Let g = -22.9999893 - o. What is g rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.8457, -4, -5, -2\/259 in descending order.\nAnswer: 5.8457, -2\/259, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -3. Suppose l + 2*q = 2, -f*l - 3*q + 0 = -10. Solve 0 = -l*c - 3*z + 18, -3*c - 5*z + 29 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*f + 1538 - 4478 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c (base 16) in base 4?\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 253 (b) -1 (c) 1\/33 (d) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 2*n + 3*y + 7, n + 173*y + 247*y + 3104 = 4*n - 202*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/144*(-19)\/((-456)\/16). Let s(o) = -2*o**2 - 8*o - 4. Let n be s(-4). Let q = -2 - -1.7. What is the third biggest value in 2, q, n, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 178*z**2 + 1070*z\/3 - 1606\/9.\nAnswer: -2*(z - 1)**2*(z + 803)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010907014 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/2)*n)*n**(4\/7))\/(((n\/(n**(4\/9)*n*n*n))\/n)\/(n*n\/(n*n\/n**(-5))*n*n*n*n)) assuming n is positive.\nAnswer: n**(317\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 - 3*j - 1. Let c be i(-2). What is the second derivative of -5 + c + 4 + 4*p**3 + 3*p wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose 3*o + l*q = 18, 1 = -3*o - q + 13. Suppose 4*x - 3*x + 8 - 2*x**o + x**3 - 7 - x**2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = -l - 8, 15 = -3*o. Let h be (0 + 2)\/(0\/l - -2). Solve 0 = 4*c + 12, -4*m + c + 6 = -h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = -4*y, -f = -4*f - 5*y + 4. Let i(n) = 3*n**2 - 4*n - 3. Suppose 0 = -0*t + 15*t - 750. Calculate the remainder when t is divided by i(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-32)\/(-20)) + (-378)\/148.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*z + 135*z - 21*z.\nAnswer: 277*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -142*l**2 - 66*l**2 - 24*l**2 - 9*l + 6. Let d(j) = -j**2 + j - 3. Let o(p) = -2*d(p) - n(p). Find the second derivative of o(i) wrt i.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4986054 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21553995 or 21554006?\nAnswer: 21553995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -9*t + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*j + 2105, -3*j + 2*i + 1263 = -0*j. Suppose -4*m - 167 - j = 0. Let q = -105 - m. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-33 + -28 + 41)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4257?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -507\/4? (a) -15 (b) -0.4 (c) -1 (d) 6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {r: 2, b: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262762, -525531, -788310, -1051099, -1313898, -1576707?\nAnswer: -1839526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2. Let m(o) be the second derivative of 40*o + 55\/12*o**4 + 0*o**3 + 1 + 0*o**2. What is k(m(j))?\nAnswer: -9075*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1399442 and -50\/79068473.\nAnswer: 158136946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 662950 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*d - 16258 = 37737 + 32153 - 12618 for d.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 13*z)*(-1 - 1 + 4).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*(((-308)\/(-63) - 2) + -3). Which is greater: c or -3\/76?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4444 + -23?\nAnswer: -4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5189 - -5189.4. Let u be 0 + 6\/21 - 0. What is the nearest to u in -1\/5, y, 28?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l**3 - 8*l**2 - 8. Let m be (-2)\/4 + 3\/2. Let a(z) = 1714966*z**2 - 4 + z**3 + 5 - 1714965*z**2. Give m*n(o) + 8*a(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263237.\nAnswer: 2263237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26157.\nAnswer: 3, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886570003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 432 = 6*m - 14*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c\/(((c*c**0)\/c)\/c))\/c*c))**20\/((c\/c**(-2\/9))\/c**(-2)))**(-48) assuming c is positive.\nAnswer: c**(6224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11477235 is divided by 45726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 199. Suppose -5*y - 118 - 43 = -u, 3*y - v = -u. Suppose -102 = -c - 2*c - 4*a, u = 4*c - 4*a. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -30*k**2 + 10*k. Let z(n) = 10*n**2 - 3*n. Let l be ((-16)\/(-12))\/(1 + (-85)\/75). Calculate l*z(w) - 3*j(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.698 less than 0.308?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/7 - 3382*j + 1577464 = 0.\nAnswer: 476, 23198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = p - 57. Suppose p = 8*o - 4*o. Solve 2 = 4*f + o*d, 4 = f - 2*f + d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30211 (base 4) to base 12.\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**2 - 25950*w - 33670125 = 0?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 127, 354, 789, 1504?\n\"Answer: 12*r**3 - 4*r**2 + 19*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5158958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2575, 2572, 2569, 2566?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 8710269*g.\nAnswer: -3*g*(g + 14517115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*q + 39 = -x, -398*x + 399*x - 21*q = 187 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 4)*((-2 - 3 + 7)*(x + 2*x - 2*x) - x - x + 8*x - 9 + 9 + 9*x) to f + i*x and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/21 + (-2)\/(-6). Let n(q) = 2 - l*q + 4*q - q + q. What is the units digit of n(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.33728483 - 0.06468517. Let u = 39.42 + g. What is u rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 1.1 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-920)\/184*((-353)\/90 - -4).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 2*b + b - 2 + 3*b + b**3 + 0*b**2. Does 8 divide g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2678, -4265, -6906, -10601?\n\"Answer: -527*d**2 - 6*d - 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1741504, -1741496, -1741488, -1741480, -1741472, -1741464?\nAnswer: -1741456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 + 6704*c**4 + 2*c**2 - 2*c - 99332?\nAnswer: -20*c**3 + 80448*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148\/7 or 36940?\nAnswer: 148\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3 - 94*a - 327*a**2 - 5 - 236*a + 5 = 0.\nAnswer: -1, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 770.9994 milliseconds?\nAnswer: 0.01284999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) 24 (c) 5 (d) 1\/6 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1141259, 2282557, 3423855?\n\"Answer: 1141298*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054*i + 2*i**5 - 1054*i - 2*i**3 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188*n = -1173*n - 2175. What is the greatest common factor of n and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five quarters of a meter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 58 = -217. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39164.\nAnswer: 2, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/9)\/((-1)\/((-20)\/(-25))) and -59\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.232 and 237.\nAnswer: 255.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 1, u: 1, c: 2, o: 4, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -226. Let l = -166 - w. What is the second smallest value in -1, -3\/59, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15973070 by 2.\nAnswer: -7986535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144.4397 + 144.5. What is i rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 2}. Give prob of picking 2 g.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11 and 52\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11233440 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + ((sqrt(13) - (sqrt(26)\/sqrt(2) - sqrt(13))) + -2)**2) - (sqrt(117) + (sqrt(117) + 2)**2 + -2*sqrt(1300) + sqrt(1300))) + -5 + -3.\nAnswer: -75 - 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-3)\/(-3)). Let n(w) = -8*w - 54. Let c be n(-7). Factor s - 3\/4*z + 1\/4*z**c.\nAnswer: (z - 2)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (50\/8)\/((-14)\/112). Let t = 69 + q. What is the remainder when 73 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30448 and 11437376?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from vvvvsvvv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 167*d - 3 - 13 to l*d + v and give l.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o - 2. Let a(q) = -q**2 - 20*q - 5. Let r(k) = -2*a(k) + 5*d(k). Let w(f) be the second derivative of -5*f**4\/4 - 10*f. Give r(w(j)).\nAnswer: 450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 846.8421l in millilitres?\nAnswer: 846842.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/30 + 13\/2. Suppose -g*i + 0*i = -2*u + 18, -4*u + 5*i = -26. Suppose 0 = u*c - 9*c. Solve c = -k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 63. Let z(q) = -2*q. What is z(b(y))?\nAnswer: 4*y**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/4, 316, -274, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31.49, -10, -6 in increasing order.\nAnswer: -10, -6, 0, 31.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 - 17365*a**2 + 4127*a wrt a.\nAnswer: 12*a - 34730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5100*o = 5065*o + 560 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 168984 in increasing order.\nAnswer: -9, -4, 168984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538997 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 29. What is k in 2\/3*k**5 + 0 + 0*k**t + 4\/3*k**4 - 2\/3*k - 4\/3*k**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3705)\/630 + (-4)\/(-24))\/((-6)\/(-21)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.8609ms in seconds?\nAnswer: 0.3148609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(272)) + sqrt(272) + (sqrt(272)*1)**2 + -5.\nAnswer: 24*sqrt(17) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f + 11. Let p(j) = -100*j. Calculate p(a(n)).\nAnswer: -600*n - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*g - 173, -g = 4*g + 2*w - 220. What is the least common multiple of 18 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 237338 = 2*h. Suppose 5*c + 326331 = -h. What is c rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -65*t + 4. Let g(p) = 130*p - 9. What is -6*g(u) - 13*w(u)?\nAnswer: 65*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -63, 0 in ascending order.\nAnswer: -63, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 3. Let b be r(-3). List the prime factors of (b - (-12)\/(-10))*-5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(30)\/sqrt(6) - sqrt(405)*-4.\nAnswer: 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s + 3 = 0. Let b = 5 + s. Let k be (32\/12)\/(b\/3). Let v(h) = -h**3 + 4*h**2 - h + 3. What is v(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (1 + 0 + -18 + -10 + 25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/60 + 35*v**2. Let u(s) = -s - s + 6*s. Determine u(f(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.53 + 0.23. Let p = g - -0.24. Let x = -0.1 + -0.3. Which is the closest to -0.1? (a) x (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2830 + -8002?\nAnswer: -5172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1458, -32, -2, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 53124?\nAnswer: 690612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 82 - 19. Calculate the remainder when 45 is divided by (r\/(-1))\/(36\/60).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3439, 6913, 10387, 13861, 17335, 20809?\nAnswer: 24283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 7*j**2 + 9*j + 6. Let f be n(8). Let x = -9 + f. Let z = -5 + x. Solve 0*a = 3*b - a + 12, a = z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14691*w**3 + 3*w**2 - 91*w + 242. Let z be a(4). What is z rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrxrljrirr. What is prob of sequence lr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/4)*a\/(a**(2\/31)\/a))\/(a\/a**(-7)*a*a**(-3)))**16 assuming a is positive.\nAnswer: a**(-1644\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47674 + -8361. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -2 - 1) + (24 - 0). Let d(g) = -24*g**2. Let j(l) = -5*l**2. Let a(w) = m*j(w) - 6*d(w). Let k(h) = -2*h. Give a(k(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zef when three letters picked without replacement from {p: 1, y: 1, e: 4, f: 4, z: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let z = j + 2. Let b = 19.78 + -18.78. What is the closest to b in -0.07, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202583 times 49\nAnswer: -9926567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(336\/9))\/(-24*(-13)\/(-91))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 86*t + 73*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309422 is divided by 2010.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/16 + -5 - 2\/8. Let g(j) = 144993*j - 28. Let v be g(w). Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6*s**2 - 275*l**6*s + 2*l**2*s - 87*s**2 wrt l?\nAnswer: 240*l**3*s**2 - 33000*l**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzhlhl. What is prob of picking 2 h and 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 9*l - 2. Let c be q(9). Let m = c + 1472\/9. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -3 - (-4 - 1). Let r be d\/(4\/5)*28. What is r rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -73 - 112 - 146*o + 600*o. Is c(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - 3*2\/(-6). Let m be -2 - y\/(7\/4). Suppose m*k + 65 = 7*k. Solve 3*u - 5*p = -16, 5*p = 3*u + u + k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2796 and 10524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/((-1)\/(1\/2)). Let i(v) = 9*v**2 - 58*v + 26. Let b be i(6). Suppose -7 + 15 = 2*s + 4*y, -b*y = g*s - 12. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**2\/2 + 4*o + 20. Determine j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 19*a**2 - 4*a**3 - 17*a**2 - 3*a + 4*a**3. Let u(z) = -z**3 + 7*z**2 + 6*z + 13. Let s be u(8). What is x(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87966 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r*z**3 - 14*r*z**2 - 2*r*z - 614*r + 11897*z**3 - 3*z - 16 wrt z?\nAnswer: -12*r*z - 28*r + 71382*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -8209.\nAnswer: 8\/8209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -f + 4, 0 = 2*f - 4*r - 12 + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.603 times -3\nAnswer: -10.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 4*q**2 - 46. Let s(j) = -7*j**3 + 9*j**2 + 93. What is -9*k(f) - 4*s(f)?\nAnswer: f**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.256505617 + -0.1.\nAnswer: 0.156505617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34035899785 - -1.9.\nAnswer: -34035899783.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 1 - 1)*(-12559 + 12559 - 1217*a**2).\nAnswer: -1217*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.252\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11562 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123634 is divided by 5100?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 68 + 88 = 0. Suppose 3*d - c = -4*y, 26 = -6*d + 7*d + 4*y. Suppose -4 - d = -6*p. Solve x - 2*x = p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i*i**(-2\/3))**33)**2 assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -9\/2*h**2 - 1\/2*h**4 - 67\/2*h - 21 + 15\/2*h**3 = 0.\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Let r(j) be the third derivative of -j**5\/60 + j**4\/8 - 294*j**2. Give r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 - (-4)\/(-10). Suppose -30296 = -15*u - 3296. Suppose 6*p + 9*p - u = b. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 0.6?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 78383000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -376824749*o - 1115 - 6*o**2 + 376824749*o in the form u*o + s*o**2 + d and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/112 - ((-70)\/72)\/1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/4)\/(8\/144). Let q be 18\/j + 16\/10. Solve 0 = 4*t + q + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 26 = -2*q + 3*q, -4*q + 131 = -5*y. Let u = -38 - y. Let a = u - -22. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -6*f**5\/7 + 16*f**4\/7 + 10*f**3\/7 - 36*f**2\/7 - 8*f\/7 + 16\/7 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559932211 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 = -27. Let y be (-352)\/24 - (-4)\/6. Let m = y - -18. What is the remainder when a is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.01415 months to millennia.\nAnswer: 0.0015845125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1312 - -1346. Calculate the remainder when 509 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4994 is divided by 1248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o - 4. Let u(l) = -851295*l. Give u(g(r)).\nAnswer: -13620720*r + 3405180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + 720659.58296\nAnswer: 720658.98296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56732?\nAnswer: 2, 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226340537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, -1, -27 in descending order.\nAnswer: 1, -1, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2416025 is divided by 141.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2537 - -419?\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -3 - -2) + (63 + -50 - 31).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 188*l**2 + 2272*l - 16528. Give q(199).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 27*a + 63. Let j be r(18). Let h = 630 - j. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -562?\nAnswer: -1\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 756742?\nAnswer: 227022.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536195 is divided by 506?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 185*h**4 - 2 - 15*h - h**3 + 126*h**4 - h**3 - 285*h**4 to the form y*h**3 + o*h + l*h**4 + a*h**2 + z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:49 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illlilililii. Give prob of sequence li.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21 = 0, 3*x - 484 + 453 = 5*o. Let r(z) = 4*z**3 + z + 4. Let d(y) = 9*y**3 + 2*y + 8. Calculate o*d(l) + 5*r(l).\nAnswer: 2*l**3 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -329780469284.\nAnswer: -329780469283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*y = 7*w + 2523, 2*y - 1010 = 2*w. Does 25 divide (-3 - 4) + (3 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + -74 + 13 + (45 - 18 - 29).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2. Let i(o) = -5*o**2. Determine i(w(t)).\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/17, 0.1, 33, 0.66, 0.\nAnswer: -8\/17, 0, 0.1, 0.66, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -688*-0.3\nAnswer: 206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 5*v**8\/336 + 2*v**7\/21 - 11*v**6\/24 + v**5\/2 - 10*v**2 - 3*v. Determine b so that k(b) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/51798377 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -k + 9, k - 2*t + 24 = 6*k. Let b = 9 - k. Find the second derivative of 6*i**b - 5*i**3 - 2*i + 0*i**3 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 42*l**2 - 17*l + 28. Let r be x(2). Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:46 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (1 + -1 + -47). Calculate the greatest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.4, 2\/7, 0.18 in descending order.\nAnswer: 1\/2, 2\/7, 0.18, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 46 = -2*m - 4*i, -10 = m - 5*i. Solve 4*c = -3*g + g - 20, -2*c = -2*g + m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 4*c - 4. Let r = 3 - 8. Let x be m(r). Solve -x = -z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -282 - -277. Let g be (-1 + -1)\/(4 - -3). What is the biggest value in g, 9, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.2*-329.\nAnswer: -14212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 45. Suppose -9*i - 2 = 61. Let n(x) = 3*x + 43. Let g(h) = i*r(h) + 6*n(h). Differentiate g(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 16. Suppose 0 = c + 2*c - 4*t - 82, y*c - 5*t - 108 = 0. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 22. Calculate the remainder when l(-17) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 4*i + 0*i - 2*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/4 + 1162667*p\/2 + 29067300 = 0.\nAnswer: -50, 2325384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354 not equal to 13355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 3*c)*(1 - 3 - 2)*(74 - 74 + 4*c).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 46. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -26\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 121376, 242814, 364252, 485690, 607128?\n\"Answer: 121438*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabaababcbaaa. Give prob of picking 1 a and 1 b.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 286\/4 - 1\/(-2). Let a be (-20)\/(-8)*(-8)\/10. Let i be (7\/(-14))\/((-71)\/(-36) + a). What is the highest common divisor of u and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 2*j - 3. Let z(k) = -k - 1. Let t = -16 + 15. Let y(h) = h**2 - 4*h + 3. Let q be y(4). Give q*z(w) + t*s(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5 - 1042*j**4\/3 + 20968*j**3 - 398736*j**2 + 2601072*j - 1562976 = 0?\nAnswer: -402, 2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2366 (b) -6 (c) 1 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.98 - 111. Let f = z + -3.98. What is the nearest to 11 in -0.3, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/7))**(-13)*(u*u**23)\/(u*u\/u**(-3)))**(-4) assuming u is positive.\nAnswer: u**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -48. Let y = 14 + -10. Suppose q + 2*x = 10, q + y*q - 2*x = v. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -178 and -2257.71.\nAnswer: -2435.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 9 - (3 - 2 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-4))\/(63\/12 + -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + -3 + (sqrt(252) + -2*sqrt(252) + -3)**2 + 0.\nAnswer: 36*sqrt(7) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g - 8. Let h(c) = -13*c - 15. Let t = 32 - 30. Suppose 0 = 3*m - 2*l + 13 + 1, t*m + 5*l = -22. Let i(v) = m*h(v) + 11*y(v). What is i(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x**2)**(-17)*((x*x**(-1))**(2\/23))**(-25) assuming x is positive.\nAnswer: x**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 9*s = 4. Let y be 1\/2 - 2\/s. What is the second smallest value in 2\/9, y, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -412, -820, -1180, -1492, -1756, -1972, -2140?\n\"Answer: 24*y**2 - 480*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13 - 8*b + 12*b - 13*b. Let n(s) = 2*s + 3. Let z = -2410 - -2404. Determine z*f(j) - 26*n(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30322361, -60644725, -90967089, -121289453, -151611817?\n\"Answer: -30322364*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13091059?\nAnswer: 13091059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**3 - 3*d**2 + d + 3. Let z be j(3). What is the derivative of 110*w**2 - 224*w**2 - 21*w**3 + z*w**2 - 30 wrt w?\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 352 + -342. Is 17 a factor of (4425\/c)\/((-5)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:21 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 21. Suppose -15 = -3*k - t*k. Factor 4*b**2 - 25*b + k*b**3 - 3*b**4 + 2*b**2 - 27 + 9*b**3 - 11*b.\nAnswer: -3*(b - 3)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/18? (a) 31 (b) 3 (c) 1\/4 (d) -4 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 6:44 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -194 and 650693?\nAnswer: -126234442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*5\/(25\/(-6)). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1879979, -5 in ascending order.\nAnswer: -1879979, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2 (b) 69 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 - 438. Solve -5*l + o = 32 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38393238 divided by -1?\nAnswer: 38393238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529932.\nAnswer: 2, 3, 13, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 23*o**4\/4 - 199*o**3\/3 + o**2 - 2069*o - 8760. What is the second derivative of i(a) wrt a?\nAnswer: 138*a - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 441\/6*(1 - 451\/3). Let m = d + 17197. Suppose 5*u = 5*r - 711 + 8491, 5*r = 4*u - m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/20 and -121\/7010.\nAnswer: 14020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 - 4*x - 13. What is the hundreds digit of g(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0213 - 3.9787. Let g = -11 + 8. Sort g, b, -1 in increasing order.\nAnswer: b, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + -2)*(-17)\/(-51) + 5675 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywm when three letters picked without replacement from {m: 1, g: 1, a: 1, y: 1, w: 5}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104919 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t. Let g(h) be the third derivative of 2\/3*h**4 + 2 + 0*h + 29*h**2 + 0*h**3. Give g(o(k)).\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4909373467?\nAnswer: 12157, 403831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57903 divided by 31.\nAnswer: -57903\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 33 = -p - 7, 5*n + p = 16. Solve -22*l = -19*l + n*u + 10, 3*l + 4 = u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*514178.\nAnswer: 19024586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-266)\/168) + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - -0.6. Let x = y - -3.5. Let j = -47 - -48. Sort 0.3, j, x.\nAnswer: 0.3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(650\/32 + (441 - 462))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 38*c**2 + 79*c + 40.\nAnswer: -(c - 40)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 35768943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 652*n - 653. Determine k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/(-6)))\/(8\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3346880 to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 109 = -5. Put 5, -5, x in ascending order.\nAnswer: x, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 3, -0.31, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2))**2 + 3 + (2*sqrt(20))\/sqrt(4) + sqrt(45) + sqrt(405)*-3.\nAnswer: -22*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 55*l**3 + 1. Let b be q(1). Suppose 5*s - r - 46 = 0, 3*r = 490*s - 485*s - 58. What is the highest common divisor of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113427 by 6.\nAnswer: 37809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 300224046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(1\/(-24)). Let f be 38\/6 + 8\/h. Suppose -r - y + 15 = 0, -r + f = -y - 0*y. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*l = 4*r + 4, -5*r - 3*l = 1. Is 68 - (r\/(-1) - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(-1)))*q)**(5\/6)*(q**(-1)\/q)**(-18\/5))\/(((q**5\/q)\/(q**(1\/4)\/q))\/(q*q**(-1\/4))**(-2\/107)) assuming q is positive.\nAnswer: q**(10563\/2140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -168, -553, -1196, -2097, -3256, -4673?\n\"Answer: -129*m**2 + 2*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(405))**2 + (sqrt(20)\/sqrt(4) - sqrt(5)) + 3 - (sqrt(500) - (1*sqrt(500) + 0 + sqrt(500)))**2).\nAnswer: -5615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117346219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = -26. Let w be -7 + (-4)\/d*(-9)\/(-6). What is the second smallest value in -0.07, w, 1\/6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -24, -28, -42, -72, -124?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 + -1 + -2. Let t = f - -37. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 111. Suppose 2*u = 434 - x. Suppose -7 = f - u. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36071180 to the power of 1\/2, to the nearest integer?\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7942672 by -2.\nAnswer: -3971336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 11425514?\nAnswer: 11425511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*u + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 85 = 100 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394883668?\nAnswer: 2, 98720917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 3*c)*(-21 - 4*c**4 + 21) + (-6*c**2 - c**2 + 4*c**2)*(-c**3 + 0*c**3 - c**3).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105148.\nAnswer: 2, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, -3, -2, -183, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2*(-2)\/4. Suppose 4*i + 4*j = 0, 2*i = 4*j - 0*j. Let w = r + i. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240024 + 3023014?\nAnswer: 2232440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 283338653 a multiple of 952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(28\/16) + 4\/(-2). Suppose -5*l + k*g = -5, -3*g = 4*l + 2*g - 4. Sort l, 2\/7, 7, 0 in increasing order.\nAnswer: 0, 2\/7, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 0 + (sqrt(475) + sqrt(475) + sqrt(475) + -1)**2.\nAnswer: -25*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (8 + (-408)\/36)*(-531)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53078.44l?\nAnswer: 53078440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -298 - 4?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*(9 + 7)\/(-48).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 27*h - 49. Let i be u(-15). What is the nearest to 10.92 in -0.5, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26586 and 30384?\nAnswer: 212688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669888005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 2}. Give prob of sequence xa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2607\/2 + -1348. Calculate the common denominator of z and -87\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v. Let m(n) = -n**2 - 24099999*n - 1. Give m(o(p)).\nAnswer: -100*p**2 - 240999990*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*d + 3*j, -33*d - 3*j + 12 = -32*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*y = 96, 0*y = -4*k - y + 106. Suppose k = 4*b + 2. Let n be -2 + (-24)\/((-6)\/2). Is n less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 2)*(91*i + 51*i - 172*i)*(-35 + 6 - 2) to o*i + h and give o.\nAnswer: 2790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -83*t. Let g(p) = -18 + 51181*p - 102376*p + 51196*p. Give h(g(s)).\nAnswer: -83*s + 1494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 26. Let o(m) = -63*m + 2. List the prime factors of o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8324 + 16669 - 60*x - 8347.\nAnswer: -60*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, f: 9}. Give prob of picking 2 f and 2 d.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(-22*w - 1 + 1)*(2 - 1 - 5) as k + z*w and give z.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**6\/16 + 9*n**5\/40 + 45*n**4\/32 + 17*n**3\/8 + 9*n**2\/8 - 17. Factor d(j).\nAnswer: -3*j*(j - 6)*(j + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138386571.77959952 - 138386622. Let t = -50.2804 - u. Let d = 0.06 + t. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 3*h + 8 + 3*h. Let g be t(-6). Suppose -8 = -2*r - g*r. 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 greater: 14 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z - z**3 + 23*z**2 - 23 - z**2 - 3*z**2. What is the tens digit of d(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172077146.\nAnswer: 2, 3, 5261, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2828, -5, 0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9173643 divided by 4?\nAnswer: -9173643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -c - 2*k + 6, -3*c - 3*k = -27. Suppose c = -0*h + 3*h. Suppose -n + 95 = h*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 3848416?\nAnswer: 3848414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -135\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 28 + 12. Solve 0*g - 2*g - r = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2456471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5\/4 + 45*m**4\/2 - 543*m**3\/4 + 72*m**2 + 231*m = 0.\nAnswer: -1, 0, 2, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -693 or -692?\nAnswer: -692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*p + 62*p + 2501 = -7039 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -19, 1, 39, 95, 169?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300) + sqrt(3300)*3 + sqrt(3300))\/(sqrt(18)\/(sqrt(6) - sqrt(54))) + 2.\nAnswer: -100*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -26.253642.\nAnswer: 131.26821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) -3 (c) 19 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 15. Let p(a) = 5*a - 3. Let u be p(h). Solve -5*c + 4*w - 3*w - 5 = 0, c + u = -4*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15676332 (base 8) in base 4?\nAnswer: 31313303122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 - 5*u**3 + 105*u**2 + 5*u - 100 = 0.\nAnswer: -5, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*h**5 + 451*h**3*v - h**2*v - 3*h*v - h + 367 wrt h?\nAnswer: 1020*h**2 + 2706*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -14 (b) 5\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**2 - 14*q**2 + 16*q**2.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 19*r - 3. Let m be 477\/(-99) + (-1)\/11*2. What are the prime factors of s(m)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1171950 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 144*t + 18908 = 6*t + 5873 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 18*b - 32. Solve 0 = -4*u + k - 2, u - 6 = 3*u + b*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = 23*l + 64. Differentiate 20*x**2 + 15 - 58*x**4 + l*x**4 - 20*x**2 wrt x.\nAnswer: -168*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*-1*1*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1900) - (-1 + sqrt(1900))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83 and 25039523?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**2 - 7*s + 47. Let l(g) = 6*g**2 - 3*g + 23. Let r(p) = -3*a(p) + 7*l(p). What is the units digit of r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34468662659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g + 24. Let r = -28 + 45. Is h(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = -8. Solve 3 = -j*f - n, 4*n + 12 = 4*f - 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5201 (base 6) to base 9.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 4, r: 4, d: 2}. What is prob of picking 1 d and 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -1?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0 + 0*n**3 + 0*n**2 - 5\/12*n**4 + 4*n. Let i(v) = 4*v - 6. Let o(c) = -5*c + 7. Let s(y) = 7*i(y) + 6*o(y). Give s(l(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 48704 = s, 29*s = -2*y + 32*s + 32473. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**6\/6 - 7*z**5\/4 + 15*z**4\/2 + 67*z + 10. Let y(h) be the first derivative of b(h). Factor y(t).\nAnswer: -5*t**2*(t - 2)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.184 (b) -0.4 (c) 8 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 + 1 - 7*q**3 + 2 + 2*q**3 + 6*q**3 + 2*q. Let p be (5\/(-10)*-2)\/(3\/(-18)). List the prime factors of v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 102*g**2 + 7*g**3 - 31 - 49*g**2 + 0*g - 52*g**2 to the form v*g**2 + o + j*g + z*g**3 and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71, -148, -231, -320, -415, -516, -623?\n\"Answer: -3*h**2 - 68*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 4*j + 2. Let p(v) = -4*v**2 + 22*v + 11. Let d(c) = 11*a(c) - 2*p(c). Let w(m) = -18*m. Determine w(d(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - 2) - (9 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + 1.6. Let q = f + -3. Which is the nearest to 1? (a) 2\/5 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 52*b - 6. Let o = -12 - -15. Does 18 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 8. Let t be c(4). Let d be (-1)\/t + (-208)\/(-64). Solve -d*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30173 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 0*y**2 - 2*y**2)*(-12*y**2 - 6*y**2 - y**2) - 2*y - 2*y**4 + y**4 + y.\nAnswer: -20*y**4 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*p - 133*p**2 + 2*p + 179*p**2 - 10*p wrt p?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 22*o = -3976. Let m = o + 1978. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 + -207. List the prime factors of g.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 + w + 36. Calculate t(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -302, -230, -150, -62?\n\"Answer: 4*y**2 + 60*y - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 45852*h - 504235. Give f(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71515201067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39052358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 = 2*l - 569 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 13*k**4\/4 + 251*k**3 + 5877*k**2 + 43416*k = 0?\nAnswer: -536\/13, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-72)*(-8)\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199096947 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14086669.18 to the nearest 100000.\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09921 + -0.49921. Put 1, d, 146\/7 in descending order.\nAnswer: 146\/7, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17 (b) -1 (c) -1\/3 (d) -0.3 (e) 5\/571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(7\/5))**35)**(-3\/13) assuming n is positive.\nAnswer: n**(-147\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 2*w + 2. Let g(h) be the first derivative of -1\/2*h**2 - 1\/3*h**3 - h + 3. Give b(d) + 4*g(d).\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 - 7112*k**4 - 2184716*k**3 + 4752594000*k**2 + 1786232250000*k = 0. What is k?\nAnswer: -486, 0, 1375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-76)\/(-140) + (-4)\/10. What is the third smallest value in 1\/2, i, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/25))**(-13\/4)\/(l**(-3)\/l**(-7\/4)) assuming l is positive.\nAnswer: l**(99\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/91)\/(12\/104). Suppose 59 + 1 = -5*k + 2*d, 0 = d. Let a = k + 15. Solve a*r - v + 3 = -0*v, 0 = z*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 3, c: 5}. What is prob of picking 1 r and 1 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1562 - 1561. Which is greater: 13\/19 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8378484796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.27 - 1.43. Let z = 4.64 - f. Which is the biggest value? (a) 1 (b) z (c) -0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03161598 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 8*n - 7. Let p be (-10)\/(((-8)\/(-6))\/((-2)\/(-3))). Give x(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.674792 to three decimal places.\nAnswer: -0.675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 10:53 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:06 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -135*(-1 + (-1 - -1)). Let a = k - 65. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 5*x - 1. Let a be d(4). Let f(q) = 0*q + 3*q + a*q. Let l(b) = 33*b + 4. Let v(o) = -8*o - 1. Let m(t) = -l(t) - 4*v(t). Determine m(f(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168470 = 1682*w - 5521*w - 57139 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -2*n - 199, 3*n - 2*r + 307 = 0. Let i = -96 - n. Calculate the highest common divisor of i and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3604 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1460*n + 1029. Let u(p) = 1457*p - 1034. Let c(t) = -3*u(t) - 4*v(t). Find the first derivative of c(m) wrt m.\nAnswer: 1469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 93 (c) -3\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 + -19.9.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2*-4)\/(sqrt(12) + (sqrt(300) - sqrt(300)*2)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1483*c**5*r + 50*c**5 - 484*c**2*r - 34*c**2 + c*r wrt c.\nAnswer: -88980*c**2*r + 3000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -82, -105, -146, -211, -306?\n\"Answer: -k**3 - 4*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(13) - sqrt(13))**2 + sqrt(78)\/(sqrt(66)\/sqrt(11)).\nAnswer: sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**32))\/n)\/(n*(n*n**(-3\/14)*n)\/n*n*n))\/((n\/((n*n**(-5\/11)*n)\/n))\/(n\/(n*n*n**0\/n)*n)) assuming n is positive.\nAnswer: n**(4121\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -661165051 plus -222?\nAnswer: -661165273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4) + 1\/(-2). Let t be ((-138)\/4 + 21)*4\/(-6). Calculate the greatest common divisor of r and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l + 54*l + 12*l)*(2*l**4 - 3*l**4 + 6*l**4).\nAnswer: 260*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 + 81268*b + 82086264 = 0. Calculate b.\nAnswer: -19251, -1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/90)\/(-2)*(-63)\/28.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 509562.7 milligrams?\nAnswer: 509.5627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (6\/3 - 0). Let q(r) = 3*r**3 + r**2 + r + 0*r**2 + r - 1. Calculate the remainder when q(n) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 51114511?\nAnswer: -51114511.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295806401 and 1089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66540, 0, 26, -3 in ascending order.\nAnswer: -3, 0, 26, 66540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68958624 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/31 + 43\/124. Let y = -265 - -310. Sort -4, u, y in increasing order.\nAnswer: -4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/2 + 29. What is the nearest to 0.2 in h, 3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 4*x**2 - x + 25. Give r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1.4 (c) 290 (d) 0.3 (e) 29\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let z be (8\/(-48))\/(2\/(-18)). Suppose 2*p - 4 = -2*q, -3*q = 89*p - 84*p - 12. Put h, z, p in decreasing order.\nAnswer: h, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -320, -712, -1174, -1718, -2356?\n\"Answer: -2*u**3 - 23*u**2 - 309*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-5)\/((-20)\/(-52)))*1736\/1519?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(7) - (sqrt(7) - (0 + 1 + sqrt(7))) - sqrt(7)) + 5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385, 375, 365?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4652*m**2 - 149532*m - 21376.\nAnswer: -4*(m + 32)*(1163*m + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81\/2 of a centimeter?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 = -0. What is the lowest common multiple of w and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/3)\/s)*s*s\/(s**(2\/11)*s)*s)**(3\/7)*s**(-7)\/((s**(-3\/2)\/s)\/s)*(s**(2\/5))**(-1\/25) assuming s is positive.\nAnswer: s**(-30683\/19250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r. Let i(c) be the first derivative of c - 148. Determine -2*i(k) - o(k).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + i + i)*(2*i + 2*i - 3*i) - 3417*i**2 - 1540*i**2 + 2863*i**2 in the form k*i**2 + m + j*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -7. Let d = 3 + s. Which is bigger: 2\/7 or d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 - 10*q**3 + 63*q**2 - 162*q + 297\/2.\nAnswer: (q - 11)*(q - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {s: 2, c: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002022221221 (base 3) to base 14.\nAnswer: 20c108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**3 + 452*n**2 + 24 - 211*n**2 - 241*n**2 - 24.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 - 3 - (99 + -106))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 285 - 5*o**2 + 1525*o - 709 - 2901 + 295.\nAnswer: -5*(o - 303)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -12*r + 49. Solve 5*a - r = 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -4, 8, 50?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 26*o = 4*g - 2786, 3*o + 3*g = 1677. What is the remainder when o is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fux. Give prob of sequence ux.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 11, q: 2}. Give prob of sequence xqb.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.022, 3, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172\/15 + 182\/15. What is the nearest to -4 in -25, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11232\/(-720)*10\/(-6). Solve -3*v + 5*o = n, -4*v - 2*o + 7*o = 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**3 + 1 + 4*t**2 + 9*t**3 - 4*t**2. List the prime factors of m(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, t: 5}. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, o: 2, f: 2, m: 2, n: 3, h: 2}. What is prob of sequence uuuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 2 - 481*s + 22 - 6 + (2 - 6 + 2)*(5*s - s - 3*s))*(s + 0 + 0) to i + b*s**2 + w*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -25 - (-55 - (-43 - 13))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxxxxxx. What is prob of sequence xx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.7 (b) 2 (c) 1422 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2 + 3*d + 5 + 9*d**3 + 0 + 4*d**2 - 7*d**3. Is z(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8228.72 + -8067. Let j = b + -162. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -135, -387, -805, -1419, -2259?\nAnswer: -3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 4. Let l be o(3). Suppose 4*m - 6 - 6 = 0. Let u(t) = t**2 + t**2 + 1 - m*t + t. What is u(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 8\/(-30). Suppose 270*w - 314*w + 132 = 0. Let k = -3.941 - 0.059. What is the nearest to w in 0.2, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/8 - (-3591)\/684. Let v(i) be the first derivative of -11\/2*i**2 - 3*i + n. What is v(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 267537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257102310 and 1780?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 28153*l**2. Let v(g) = -2*g**2. Give c(v(z)).\nAnswer: 112612*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 - p + 2. Let d be s(-3). Let l(f) = f**2 + 4. Let g(q) be the third derivative of -q**5\/60 - q**3\/6 - 6*q**2. Determine d*g(i) - l(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*3*-2)\/3. Let n(t) = -2*t**2 + 7 + 4*t**r + 9*t - 14. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*p = 13, -5*x - 2 = 5*p - 37. Let h(v) = 3*v - 6. What is the remainder when 21 is divided by h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 30. What is the remainder when ((-320)\/(-12))\/(-2)*h\/8 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**5\/60 + n**4\/4 - n**3\/2 + 41*n**2\/2 - 15. Let h(x) be the second derivative of s(x). Calculate h(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:25 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 463 and -79604?\nAnswer: -36856652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.69 + 3.69. Let l be (-20)\/12 + 1\/(-3). Let t be l\/8 - (-38)\/(-8). What is the second smallest value in -0.2, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*o*w**5 - 54*o*w - 2*o + w**5 + 2 wrt w.\nAnswer: 1980*o*w**3 + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3366*z**2 + 3310*z**2 - 6678*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 77 = -4*a - 79, 5*n + 5*a + 2 = -8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36c93c (base 13) in base 11?\nAnswer: 817681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77536.8 and -0.2.\nAnswer: 15507.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 993, 7271, 23777, 55455, 107249, 184103, 290961, 432767?\n\"Answer: 824*m**3 + 170*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 222 - 180 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, 0.4, -5, -458\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 418859*0.12\nAnswer: 50263.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v - 1. Let p(c) = 6*c**2 - 4*c - 4. Let w(q) = p(q) - 4*z(q). Let m(x) = 6*x. Calculate w(m(t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 39\/(-15))\/(4\/60). What is the highest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934045979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1700 = 111*h - 923 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/904 and 17\/6?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 7\/46190, -0.1 in increasing order.\nAnswer: -1\/4, -0.1, 7\/46190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) -0.1 (d) -3 (e) -4744 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26923357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 + 28 = 5*f + 7*o, -4*o - 107 = -5*f + 78 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/16 and (-87)\/12*(2 + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*l + 2*l - 19, 2*l - 22 = -4*b. Let z(f) = -6*f**2 - f - 2. Let s(r) = 12*r**2 + 2*r + 5. Let m(o) = 3*s(o) + 7*z(o). Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3151 - -3236. Let z(s) = 23*s - 1. What is the remainder when g is divided by z(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 22*p**2 - 22*p + 25. What is the smallest common multiple of i(-23) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -300 + 9?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -4*a**5\/5 - 5*a + 7. What is the first derivative of s(t) wrt t?\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192334 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o**2 - 7*o**2 - 15*o**2 + (3 + 0 - 2)*(2*o**2 - 2*o**2 + 2*o**2) to n*o + m*o**2 + z and give m.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**3 - 3*z**2 + 2*z. Let r be x(1). Solve r*f - 12*f - 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 742*j**2 + 29*j - 70. List the prime factors of g(2).\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36260.7 + 37876. Let c = -1547 + b. Round c to the nearest integer.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + sqrt(304) + sqrt(304)*4 + 2 + (2 + sqrt(304))*3)*-1)**2*-1.\nAnswer: -19600 - 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3*k**2\/2 - 4*k + 15. Let y(i) = -35*i + 50. Let f(c) = -25*a(c) - 2*y(c). Let b(s) = -20*s**2. Give f(b(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*x + 179, -x + 4 + 1 = 0. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4313360 to the nearest integer?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2*v**3 - 9*v - 26 - v**2 + 1\/4*v**4. Calculate n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvswvvs. Give prob of picking 1 w and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 19 - (-3)\/(-1). Suppose 0 = -x*o - 22. What is the units digit of 23*(8 - o\/2)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 957 = -3*g, 0*z + 2*z = -4. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((800\/(-60))\/10)\/((12\/9)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y. Let h(x) = -2*x**2 - x. Let k be h(-1). Let l be d(k). Let t be (l\/9)\/((-3)\/(-26550)). What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**3 - 172*t**3 + 149*t**3 - 171*t**2.\nAnswer: -3*t**3 - 171*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-4)\/12. Is -7 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/190 and 23\/19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u - 116\/5*u**5 - 3*u**2 + 1\/3*u**3 - 29 + 0*u**4. What is the third derivative of l(g) wrt g?\nAnswer: -2784*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188 + 19?\nAnswer: 19.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 + 0.01. What is the smallest value in 0.04, c, 3, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 33*f**2 - 851*f - 39. Let h be y(-50). Let k be (-67)\/2 - (-4)\/(-8). Let t = -23 - k. Do t and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 306 = 2*q, -q + 3*n = -21 - 146. Calculate the highest common factor of 511 and q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + 698*p + 2105. Give i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r - 11*r - 10889 = 30271. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -315?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 141 + 94. Let v = o - -43. Let r = 2 - 5. Sort v, 2, r in increasing order.\nAnswer: v, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o + 15. Let t(c) = c + 5. Let d be t(o). Let u be 1\/(2\/30) - d. Solve v - u = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - w**2 - 2*w. Let x(z) be the first derivative of 2*z**3\/3 + 15. Determine x(t(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.53. Let v = -145\/581 + -3\/83. Which is the nearest to -2? (a) 0.5 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.842831829 to 3 dps.\nAnswer: 7.843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -26?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - 2*z + 36*z**4 + 5*z**2 - 37*z**4 as b*z**3 + h*z + y*z**4 + r*z**2 + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/16*0)\/1. Which is greater: 2\/15 or v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*(-4)\/(-12)*9\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -0.1609021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 128500?\nAnswer: 128500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 20 = 0. Suppose -x*h + 6*h = 6. Suppose -h*r + 958 = v, 0*r = r + 4*v - 323. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-seven quarters of a millennium?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 4*f + 2. Suppose -5*y = -5, 40*c - 3*y - 1727 = 35*c. Let l = c + -308. Calculate the least common multiple of l and u(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121.1 - 120.7. Which is the closest to 1? (a) 16 (b) n (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7327 divide 688327688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50882, 50886, 50890, 50894, 50898?\nAnswer: 50902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + 0 + sqrt(1088))**2 - (-2*-1*sqrt(1088) - sqrt(1088))*-3)*6*-4*-4*2.\nAnswer: -847872 + 53760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6)*-1) + sqrt(720)\/sqrt(10) - 4*(sqrt(2) + -1 + -5)*-6)**2.\nAnswer: -8352*sqrt(2) + 22418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3751*l = 3752*l - 18, 6*l + 17 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006940312 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k**3 + 63*k**3 - 34*k**3 - 3*k**4 - k to the form x*k**2 + i*k + y*k**3 + w + h*k**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7639 - 13183 = -231*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 2461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8110 - -11649. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7688923 is divided by 976.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -924 divided by -14?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z = -76*z + 4464. Calculate the remainder when z is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/6)\/y*y)*y)\/y*y)**(4\/15)*(y**6)**32 assuming y is positive.\nAnswer: y**(8662\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116609 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*w = -0*w - 73, 2*w + 19 = a. Let p = -26 - -103. What is the remainder when a is divided by ((-6)\/(-7))\/(11\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 66 + 122 + 63*y.\nAnswer: 63*y - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24010*o**3*r + 211*o**3 - 125*o**2*r - 8*o**2 - 5 wrt o.\nAnswer: 144060*r + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {m: 1, i: 11, k: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -71, -2, 6, -10, -28 in descending order.\nAnswer: 6, 4, -2, -10, -28, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-11)*b*b*b*b**(-1\/20)*b assuming b is positive.\nAnswer: b**(-141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 5*i**2 + i**2 - 8 - 6*i**2 + 8*i. Suppose -1 = u + 12. Let h(g) = 17*g**2 - 17*g + 17. Calculate u*d(m) - 6*h(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 + -1.3. Suppose -s + d = 2, 4*d + 1 - 9 = 5*s. Which is the closest to s? (a) 1\/4 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.19, 0.222, 0.01?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*b**2 - 19879*b**6 + 21971*b**6 + 11*b**5 - 11*b**5 wrt b.\nAnswer: 251040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -16*v**3\/3 - 12. Let d(p) = -p**2 - 5*p + 5. Let c(j) = j - 1. Let l(f) = -5*c(f) - d(f). What is y(l(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/54971 and -103\/1148.\nAnswer: 9015244","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4587101 * 2\nAnswer: -9174202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k + 2790*k**2 - 1391*k**2 - 1395*k**2 + 6*k in the form d*k + j*k**2 + h and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 + 19*i**3 - 36*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 - -12030?\nAnswer: 12420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 3274 = 0. Suppose -297 = 4*g - v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 105. Let r = h + 92.99999864. What is r rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/15 (b) -2 (c) -1\/11 (d) 31110 (e) -1\/4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 1. Let m(d) = d + 35158 - 70324 + 35166. Suppose 0 = -7*g + 2*g + 15. Let p = g + -9. Give p*m(f) - a(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -149*t - 1310. Let d(n) = 41*n. Give d(w(g)).\nAnswer: -6109*g - 53710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/7)*p**8\/p*p*p**(5\/8)\/p**5)**(-46) assuming p is positive.\nAnswer: p**(-3933\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 18 = 3*n, -628*j + 20 = -627*j - 6*n for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -2, 80, 163, -1, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**2 - 7*r**3 + 8*r**2 + (3 - 3 + 3*r)*(70 - 70 - 11*r**2).\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156.19379 + 0.04621. Let c = m - 157. Sort -0.2, c, 0.4.\nAnswer: c, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 75 = s, 349 = 5*s - 3*w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748066543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (0\/(-2))\/(-1 + 2). Let g(a) = -2*a**2 + 5 - 5*a - 5 + a**l + 8. Calculate g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 + 0 + 1. Let l be (n\/4)\/(2*-1). Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 173*n**7\/14 + 875*n**4\/24 - 3*n**2 + 294. Find the second derivative of g(o) wrt o.\nAnswer: 31140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*y + 4835 = -32*y - 1005 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30.8 in -9\/4, -0.2, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 29*z**3 + 5*z**2 - 23*z + 61. Calculate the remainder when u(4) is divided by 212.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 61.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1837*d**2 + 3813*d**2 - 1976*d**2 + 19*d**3 + 256*d**3.\nAnswer: 275*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48072 and 943.\nAnswer: 49015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 31*w + 50. Suppose l - 2 - 2 = 3*a, -4 = -2*l + 4*a. Calculate v(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (140\/130)\/((-14)\/(-182)). Calculate the greatest common divisor of 90 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1eb9 (base 15) in base 5?\nAnswer: 203244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.09, -7, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -18 - 334. Let r = 59 - c. What is the derivative of -3 - 4 + 23 - r*f**4 wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b**2 - 4*b - 2. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*f**4 + 16453*f**3 - 224078*f**2 + 160703*f + 46958 = 0. Calculate f.\nAnswer: -2\/9, 1, 53\/4, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8*l + 34 = 0, -3*g + 14 - 3 = 2*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32575.\nAnswer: 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a + 6. Let d be p(0). Suppose -4*s + 5*v - 46 = 0, 5*s - 4*v = d*s + 1. Let n(u) = 2*u**2 + 15*u - 10. What is the tens digit of n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 943 + -672. Suppose -4*p - 71 + v = 0. Find the common denominator of p and -26\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 9 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*y - 9, -9 = -3*b - b - y. Suppose 3*s - 5 = m, 0 = m - 0*m - b*s + 2. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3776ac (base 14) to base 8.\nAnswer: 7204510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/11*(94 - 10624\/128)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1463*o - 4214. Let m(q) = -126*q - 351. Give -3*h(b) + 35*m(b).\nAnswer: -21*b + 357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let y = -5\/29 + 59\/174. Let n(p) be the second derivative of 0*p**3 + 5*p + 0 + y*p**4 + 0*p**2. What is r(n(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4250.5 to the nearest ten.\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:12 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*l + 168*l - 378 = 0. Solve -l = 8*h + 19*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -278?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/400 and 85\/4.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188581 is divided by 62.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 44*y**2. Let w(k) be the first derivative of 5*k**2 + 294. Determine v(w(z)).\nAnswer: 4400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {h: 1, d: 1, i: 1, e: 1, f: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 3 + 3)*(30 - 14 - 1) to the form c + g*b and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -164, -161, -160, -161, -164, -169, -176?\n\"Answer: -o**2 + 6*o - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 41*m**2 - 40*m + 191. What is w(20)?\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 + 7*x + 690. What is l(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from nnnb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 733376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167483b (base 12) to base 5.\nAnswer: -2141212424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let u be 2\/(-3 - (-652)\/216). Let q be u\/63 + 4\/14. Let c(h) = -2*h. Give q*z(l) + 2*c(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.302665ng to kilograms.\nAnswer: 0.000000000009302665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38136916 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 114\/3 - 2 - 3. Let b = -27 + a. Let g(p) = p**2 - 8*p + 6. Determine g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-4)*b))\/(b**(-35)\/b))**(-2\/9) assuming b is positive.\nAnswer: b**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -6612?\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92042367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = 1208 + 12117. Let j = -350 - n. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80683908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104, -187, -236, -251, -232?\n\"Answer: 17*d**2 - 134*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8205611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104\/451 - -2\/41. Which is the smallest value? (a) 4 (b) s (c) 1\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 8*t**2 - 9*t - 12. Let x be m(6). Let y(f) = -f**3 + 6*f**2 + 3*f + 4. What is y(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9530289 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -9.789757191?\nAnswer: 7.789757191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15324709 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 4*i - 32, -13 - 14 = 3*p + 5*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 2*x = 11*s - 46, 3*s - 2*x - 64 = 0. Calculate the remainder when 714 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:00 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 29 = -3. Calculate the lowest common multiple of 9 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74952.69 rounded to the nearest one hundred?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {e: 5, j: 1, y: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5436725 times 5?\nAnswer: 27183625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 + 2*a + 4. Let x be p(2). Suppose 0 = -5*r, -12 = -x*b + 7*r - 3*r. Suppose -12 - 9 = -b*z. Solve z = v + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from wwwwgwwwgggwwwwgww?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)\/(v*v\/(v*v**(1\/9))))\/(v\/(v\/(v**(2\/13)*v)*v)*v*v*(v*(v**6\/v)\/v)\/v)*(v**7\/v**(-5))\/(v**(-1))**22 assuming v is positive.\nAnswer: v**(3505\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/9, 1, 0.3, 9.\nAnswer: -5, -2\/9, 0.3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2026.066 grams to milligrams.\nAnswer: 2026066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 67*q**2\/2 + 57*q - 41. Differentiate l(p) wrt p.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-800)\/(-44) + 1*(-6)\/33. Suppose -g*p + 14*p = 24. Let b(i) = -i**3 - 3*i + 6*i**2 + 8 + 2*i**3 + 5*i. Determine b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v + 30. Let u = 11 + -155. Calculate the common denominator of (v\/(-5))\/(u\/140) and -43\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*j - 4*o, -j - 17 = -0*j + 5*o. Let g be j\/(-9) - 303\/27. Let k = g - -13. What is the least common multiple of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 7379540?\nAnswer: 7379540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158911?\nAnswer: 367, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19728.776 and -0.2.\nAnswer: 3945.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = -3. Suppose r = -2*g + 10, 7*g = r + 2*g - l. Let i be (-9)\/r*15\/18. Sort i, -2\/15, 1\/3 in decreasing order.\nAnswer: 1\/3, -2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 73.\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/25*85\/(-85).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + 1)\/((-2)\/7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 127 + 109 + 115 + 132 - 458.\nAnswer: 4*a**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1318 and 151607320331?\nAnswer: 151607319013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-222 - -207 - (-26 - 0)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -490 + 324. Let c = -149 - i. Solve 4*w = 5*m - 45, c + 3 = -w + 3*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -493 or -495?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n**2. Let h(d) = -65*d**2 - 35*d + 35. Let z(m) = -11*m**2 - 6*m + 6. Let p(u) = 6*h(u) - 35*z(u). What is c(p(g))?\nAnswer: 275*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 - w + 1. Let g(b) = 8*b**3 - 37*b**2 + b - 1. Give 2*g(n) + 2*s(n).\nAnswer: 14*n**3 - 72*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 737717, 737726, 737755, 737816, 737921?\n\"Answer: 2*m**3 - 2*m**2 + m + 737716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 12*g - 25. Let f be z(-9). Suppose -f*l = l - c + 11, 9 = -l + 3*c. Let t(w) = -251*w - 7. Is t(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 42. Let q = 26 + n. Solve -12 = -q*i - u - 0, 2 = u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*(-1 - (-20)\/14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -796*b**2*s - 511*s wrt b.\nAnswer: -1592*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)\/r)**(-24\/7)*r**7\/(r**(15\/2)\/r))**(1\/16) assuming r is positive.\nAnswer: r**(19\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 10*t - 7*t - 122.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/9, -262, -570, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11771 (base 11) to base 5.\nAnswer: -1020042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1805)\/95 - (-807)\/42.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154\/47 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.9. Let g = 0.105 - 0.036. Let u = -0.031 - g. Which is the nearest to x? (a) u (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 9*m - 36*m + 11*m + 16*m + 1 - 58*m**3 + m**4 + 3*m**2 to the form u*m**4 + i + a*m**2 + r*m**3 + o*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (150\/12 + (-240)\/20)*113348?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -1\/4 (b) -1\/2 (c) 8.687 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 92 = -68. Solve 0 = -d*x - 3*x + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23911446 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38862469 is divided by 873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -4, 12, 3.\nAnswer: -4, 2, 3, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 493011017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4 = 0, 5*x - 112766 = 3*b - 112988 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 13*c + 1. Give o(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 2*r + 5*r - 3*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8305 + 1126. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzpp when four letters picked without replacement from zpppzp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 22 = 4*y, 2*j - y = y - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-68)\/(-12))\/((-4)\/(-264)*2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i - 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 33*r + 949710 = -8*r. Round r to the nearest one thousand.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 6*i - 14 + 0*i.\nAnswer: 5*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252820200 by 211.\nAnswer: -1198200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = 0. Suppose f = -5*g + 5*u - 3596 + 461, u = -g - 621. What is the units digit of (-1)\/(-5) + g\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 1575*k - 510868. Calculate v(-276).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 4049005807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 2 = -21*v. Let n(s) = 2*s - v*s + 2*s - 12*s. Let m(q) be the first derivative of 2*q**3\/3 - 1. Give m(n(o)).\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1248\/7 + -178. What is the nearest to -2\/3 in 3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 13. Sort -0.1, m, -1 in increasing order.\nAnswer: m, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 - -118. Let x be 2\/5 - t\/5. Let f be (12\/(-10))\/((-4)\/x). Solve 2*o = f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q + 4. Let t be l(0). Let v = -20 + 22. Suppose -v*p - 80 = -6*p - t*x, -3*p - x = -54. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15 + -13 + -48 + 0\/(-1). Let o = -35 - m. What is the smallest common multiple of o and 37?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4\/3 + 1357336*u**3\/3 + 4072084*u**2 + 32576848*u\/3 + 27147440\/3 = 0. Calculate u.\nAnswer: -5, -2, 339343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eebt when four letters picked without replacement from {b: 3, t: 2, n: 3, j: 4, e: 4, p: 1}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7274\/3465 + 1\/1386. Let v be (-79)\/100 - 29\/116. Let j = -1027\/50 - v. Calculate the common denominator of k and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313618.5 kilograms in milligrams?\nAnswer: 313618500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/54 and 19\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {i: 1, e: 1, p: 1, d: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*u - 60*u - 58*u + 227*u - 61*u - 27 to o*u + q and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, x: 2, d: 7, a: 3, s: 1, q: 1}. What is prob of picking 3 u and 1 s?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -636110 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/(-36) - 2\/(-9). Let t be -6*(10\/(-4) - -2). Let c(j) = -3*j + t*j - 4*j**r. Let u(d) = d. Determine c(u(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddsdddusddd. What is prob of sequence su?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*r + 2275 = 748*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.4 - -6. Let b = 0.6 - y. Which is smaller: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(288)\/sqrt(4)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/(20*2\/(-7)) and 79\/1450?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*f + 420*f + 2970 = 0. Let r be 8\/(-32) - (-218)\/8. Calculate the greatest common divisor of f and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a62 (base 15) in base 2?\nAnswer: 100100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429*k**2 - 275?\nAnswer: 858*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i + 6. Give s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0332221952 rounded to three decimal places?\nAnswer: -1.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 8*q**6\/15 - q**5\/4 - q**2\/2 + 6*q. Let y(c) = 8*c**4 - 3*c**3. Let h(o) = -3*a(o) + 5*y(o). Differentiate h(n) wrt n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-1557)\/346?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 6*m + 3. Suppose 4*c + m = 15. Put -1, -3, c in descending order.\nAnswer: c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 56*d**2 + 480\/7*d + 20\/7*d**4 - 192\/7*d**3 - 100 = 0. What is d?\nAnswer: -7\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -904\nAnswer: -57\/904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(3*x**2 - 2*x**2 - 2*x**2 - 1) + (-4 - 1 + 4)*(-x**2 + 0*x**2 + 3*x**2) + 7*x**2 + 4*x**2 - 6*x**2.\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8. What is the second biggest value in y, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 x when four letters picked without replacement from {o: 4, i: 2, x: 10}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*f**2 - 10*f**2 + 16*f**5 + 12*f**2 + 17*f**5 wrt f?\nAnswer: 1980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c - 2*c + (-3*c - 4*c + 6*c)*(-1 - 1 + 1) - 3943*c - 1584151 + 1584151.\nAnswer: -3944*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - sqrt(112)*-1) + -4 - (sqrt(112) + sqrt(112) + -1 + 5)) + 0 + 5)*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 250\/((-25)\/5)*-1. Suppose -p = 9*c + 94. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1396.\nAnswer: -5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3 - p**3 + 9 + p + 3. Suppose 0 = -22*i + 17*i - 110. Let h = i + 22. Determine c(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*l - 12 = -2*d, 0 = 2*d - 4*l + 4. Solve d*y + 12 = 4*z, 2*z - 5*z + 18 = 3*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -290422.8 + 315854. Let o = -25456.2654 + u. Let p = o - 0.0346. What is p rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 341, 493, 643, 791, 937, 1081?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - (-9)\/((-18)\/(-1258)). Which is bigger: 617 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 - 2*s - 1. What is the units digit of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*h + 3, 4*b - 3*h + 3 = -0. Suppose 5*d + 2 + b - 8*d + 8*d**2 - 7*d = 0. What is d?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113919 - 113919 - 113*k + (-2*k + 0*k + 4*k)*(1 + 0 + 1) to c + h*k and give h.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 774668181 at least as big as 774668180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*d = -2, 0*d - 2 = d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojggvjlpjgpl. What is prob of picking 1 l and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from zzzzeeyzzzezzyzjye?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -47.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8290*o**2 + 8886*o**2 - 18803*o**2.\nAnswer: -1627*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-2*-6 + -2)*2)**2.\nAnswer: -1728*sqrt(19) + 886480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -427*g**2 + 3*g - 1 - 3*g - 5*g**3 + 429*g**2 to the form m*g**2 + n*g**3 + c + y*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -454274057*y**3 + 15715*y + 7604 wrt y?\nAnswer: -2725644342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599674877?\nAnswer: 17, 211745581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 3*y + 3*y)*(-5 + 3*y + 5) + 8*y**2 - 4*y**3 - 8*y**2 + (14277 - y - 7094 - 7427)*(-2*y**2 + 4*y**2 - 3*y**2).\nAnswer: -6*y**3 + 244*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 198596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 1 + (-12 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((52 - -2)*8\/12)\/(-1). Let j be (-287)\/(-15) + z\/270. Calculate the highest common divisor of 323 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103278.6 to the nearest one thousand.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2.4681.\nAnswer: -1.4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -36*z - 84. Let c(w) = 45*w**2 - 10*w. Determine c(a(g)).\nAnswer: 58320*g**2 + 272520*g + 318360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 637 = -151. Let o = -2914 + a. Round o to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - -10001000001101000?\nAnswer: 10001000001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032092 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 159*c - 31. Let f be z(23). Solve 3*q - 3*v + 21 = 0, -5*q + 3*v - 10 = f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 + 8 = 5*c, 0 = -4*c + 12. Let w = 27 - k. What is the highest common factor of w and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.1 + -5. Let g = -1.8 + 1.5. Which is the nearest to w? (a) g (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516516?\nAnswer: 2, 101, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -4 + (sqrt(432) - 4*sqrt(432)) + 3 + sqrt(33)\/(sqrt(44)\/sqrt(4)) + -6*(sqrt(3) - (sqrt(3) + 1)) + 5)**2.\nAnswer: -660*sqrt(3) + 3367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 2*u**4 + 1071*u**3 - 10 - 3*u**4 + 5*u**4 - 1035*u**3 to the form y*u + j + q*u**3 + g*u**2 + b*u**4 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -19*b - 23. Let p(h) = -12*h - 15. Let q(n) = 5*c(n) - 8*p(n). Give q(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:41 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12581\/14 + -898. Let g = -1\/42 - s. What is the smallest value in 1, g, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41547 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172 + 87. Let v = b + 85.438. Let l = v + -0.224. What is l rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365310627*w**3 + 691965*w - 72.\nAnswer: -2191863762*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 74 - 17*y)*((3*y + 4*y - 5*y)*(-2 + 2*y + 2) + 2*y**2 - 2*y**2 + y**2).\nAnswer: -85*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -993 + -14?\nAnswer: -9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.13 (b) -2.88 (c) -0.71 (d) 0.8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2767960 = 4*z, 4*k + 0*z + z - 3690588 = 0. Let s = 602648 - k. What is s rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 6\/11 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*s - 2*s**3 - 5*s - 15*s**4 - 11057*s**2 + 11059*s**2 in the form j*s**2 + z*s**3 + x*s + k + p*s**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 14 + 24)*(-3*g - g + 26*g)*(-2 + 2 - 1)*(0 - 3 + 4) as n*g + a and give n.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - 5) - -8 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266, -1261, -1254, -1245?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 times -19?\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + (sqrt(152)\/(sqrt(48)\/sqrt(6)) - sqrt(19)) - (sqrt(19) - ((sqrt(114)*1 + sqrt(114))\/sqrt(6) + sqrt(19)) - (2 + sqrt(76)))))**2.\nAnswer: 800*sqrt(19) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -5*l**8\/336 - 5*l**7\/14 - 37*l**6\/12 - 11*l**5 - 15*l**4 - 87*l**2. Suppose o(m) = 0. Calculate m.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 32\/20)\/(13 - 16\/(-2960)*-2404)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -1\/30*r**6 - 10*r - 9\/2*r**2 + 1\/6*r**4 + 2*r**3 + 0 - 1\/5*r**5. Let l(x) = 0. What is x?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34264383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3554053 (base 6) to base 2\nAnswer: -101101011101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 - 55 = 0. Let k be 1\/(-2)*2 - d. What is the lowest common multiple of (-10)\/k - 218\/(-11) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**7\/840 + n**6\/240 + n**5\/240 - 2*n**2 + 1. Let p(t) be the second derivative of j(t). Let p(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a hour in minutes?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254728 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5\/2*u**2 + 1 + 0*u. Let p(h) be the third derivative of -h**5\/60 - 10*h**2. What is k(p(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*c + 85*c - 811 + 24588 = -78*c for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-22) + 4\/(-22). Sort r, -4, 5.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 43 = 4*w, 4*l + 10*l = 11*l - 9*w - 93 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 117*h - 3309. Let r be b(-48). Let m(u) be the first derivative of 3\/4*u**4 + 12*u - r*u**3 + 0*u**2 - 24. Suppose m(j) = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19313836 divided by -5?\nAnswer: -19313836\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -104 + 0*d**2 - 72*d - 76\/3*d**3. What is the first derivative of p(k) wrt k?\nAnswer: -152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -500 - -491 - (-4 - -6 - (-1 + -7))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -26*z - 169. Let h be a(-7). Suppose -p + h*p = 7956. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*-2*(-6)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -113, -228, -377, -554?\n\"Answer: y**3 - 26*y**2 - 4*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 689 - 191. Let n = -497.9723 + g. Round n to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose -5*h + 13 = 4*k - 0*k, g*h = 2*k. Suppose 0 = -d - k*d + 12. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72831.2 + 72831. Let x(l) = -l**3 - 5*l**2 - 5. Let y be x(-5). Let t = 1.1 + -1. What is the closest to t in s, y, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r - 5. Let c(p) = 17*p - 11. Let t(f) = 3*c(f) - 5*y(f). Let m be t(9). Let v = -2 + m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose 0 = r*y - 2*y - 12. Solve -y*q - 16 = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 21*v**2 + 6*v - 31. Let j be z(6). Do j and -3504\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 610040 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 + 27*h**4 - 39*h**3 - 75*h**2 + 144*h - 60 = 0. Calculate h.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f\/(f\/(f*f\/((f*((f**(-2\/7)*f)\/f)\/f*f)\/f))*f))))\/(f*f**(-1)))**(-26)\/(f**4\/f**(-1\/9))**(-5) assuming f is positive.\nAnswer: f**(-2449\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1234 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s - 13*s + 5 + s + 2*s. Determine p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585628 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468) + sqrt(13)) - sqrt(13) - (0 + sqrt(13))**2*-4.\nAnswer: -29*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10658, -3, -2, 10, -6 in increasing order.\nAnswer: -10658, -6, -3, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 333794*p. Let b(h) = 1464*h. What is -2278*b(j) + 10*f(j)?\nAnswer: 2948*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*i - 2 = 0, 2*d + 2*i = 554 - 566 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*t**6 + 3*t**4 - 85*t**2 wrt t.\nAnswer: -2880*t**3 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13279*k - 13244*k = -4*r + 132, -3*r + 10 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) + 6*(sqrt(36) + sqrt(9)) - sqrt(9)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -25103?\nAnswer: -25130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 1\/12*c**4 - 25*c + 0 - 2*c**2 + 1\/3*c**3. Let q = -2 + -1. Calculate n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodoxxddxxddddx. Give prob of sequence dd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/4)*k)\/(k*k**(-3\/5)*k))\/(k**(6\/5))**42 assuming k is positive.\nAnswer: k**(-981\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111 - 59) + -54 + -8 + 1 + 1 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743670.\nAnswer: 2, 5, 174367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2109 - 5?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 381788\/3740 + 288\/(-153) + 2 - (-5)\/(-25)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2821291.\nAnswer: 11, 19, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -339\/44 - -31\/4. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.4 + 14.67. Which is the second smallest value? (a) w (b) 0.2 (c) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 4. Let p be k(2). Find the third derivative of -45*n**3 - 10*n**3 + 5*n**p - 8*n**2 - 3*n - 10*n**2 wrt n.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-8)*1 + -2. Let t be (3 - 2 - 3) + 39. Let c = t + -35. Is c less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 12.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 4*z**2 - 7*z + 10. Let h be q(3). Let w be 22\/(-12) + 0 + 2. Let f = -0.009 + -4.991. Put h, f, w in decreasing order.\nAnswer: w, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6884 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.97 * -27346\nAnswer: 26525.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 6*p - p**3 + 102*p**2 - 98*p**2 + 33. Let g be n(6). Let l(s) = s - 2. Give l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**35*u)**(-1\/75)*(u\/(u*(u*u*(u**(-14)*u*u*u)\/u*u)\/u))\/u*u\/(u\/u**0))**(-37) assuming u is positive.\nAnswer: u**(-7881\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 8 + 10*j**2 - j + 9.\nAnswer: 10*j**2 - j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/25 (b) 3 (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(12))\/sqrt(4) + ((sqrt(18)\/sqrt(3))\/sqrt(2) - sqrt(30)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - 210011010112?\nAnswer: -210011011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 88 - 2*c - 43 - 47 + 5*c**3 - c**4 to the form a + i*c**3 + r*c**2 + g*c + u*c**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4) - (-8)\/(-16))*27. Let m = s - -30. What is the tens digit of -4 - (-17 + m - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2071, -1663, -983, -31, 1193, 2689, 4457?\nAnswer: 6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/5*35\/14. Find the common denominator of 0 + c - 305\/80 and -29\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1172211.\nAnswer: 3516633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-4 - (-4 + 0)). Let w = 10 - s. Find the third derivative of -x**2 + 2*x**2 + 2*x**2 - 5*x**w + x**2 wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**4 - z**2 + z. Let o(u) = -21*u**4 - 12*u**3 - 36*u**2 + 6*u - 3. Let g(p) = -18*k(p) + o(p). Let g(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 20 (b) -0.5 (c) -2\/5 (d) -0.089 (e) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/121 and 32\/1639.\nAnswer: 18029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:46 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80 - 1a?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -118849070 divided by -4003?\nAnswer: 29690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1665*c**2 - 830*c**2 - 832*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(36) - sqrt(4)) + 2.\nAnswer: sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2260 and 1403912?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**3 + 2*s**2 - s - 1. Let i be w(-1). Let p(m) = 26*m**2 + 14*m - 9. What is the hundreds digit of p(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 7872\/(-864)*63\/(-2).\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.52, 2\/17, -4\/9, -1\/3 in descending order.\nAnswer: 0.52, 2\/17, -1\/3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59.9 and 23.\nAnswer: 82.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.7549*0.2\nAnswer: -0.15098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - h + 3. Let q be k(-2). What is the remainder when 43 is divided by (1 + q)*2\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56, 56, 54, 50, 44?\n\"Answer: -y**2 + 3*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15621, -62486, -140595, -249948, -390545, -562386?\nAnswer: -765471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r**2 + 0)*(-5 + 1 + 0)*(5 - 5 + 2*r).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4201 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210590 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z + 43. Suppose 0 = -m - 8*m + 54. Let p be h(m). Let x = 48 + p. Calculate the remainder when 54 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13765\/11 + 1253. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let z = 0 + -0.3. Which is the third smallest value? (a) 3 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3)\/p*p)\/p*p*p)\/p**(-2\/3))\/(p**(-1\/3)\/((p**2\/p*p)\/p)) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1614 > -1614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20513 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2502)\/3753*(-387)\/(-6)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 207455 = 33*g - 12*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2*m**2 + 2*m**3)*(-4 - m + 4) + m**4 + 0*m**4 - 3*m**4 + 2*m**2 - 2*m**2 - m**4 + 6*m**2 - 504154*m**4 + 503022*m**4 - m**2.\nAnswer: -1137*m**4 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 12*x**2 - 10*x - 4. Let r be b(-7). Let s = r - -434. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from rhchwwwhhhrhhhwhcwrc?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 3*m - 7. Let a be s(-5). Let c(o) = o**2 - o - 3. Let q be c(a). Solve q*j - 15 = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204) + -1*sqrt(204)) - (-3*1*sqrt(204) + sqrt(204) + sqrt(204)))\/(sqrt(72)\/sqrt(6)*5 - sqrt(36)\/(sqrt(3)*-2)) + -5.\nAnswer: -5 + 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-8)\/(6\/3). Solve -4*w = 21 - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1442 - -28394890509.\nAnswer: 28394890508.8558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 2*z - 1. Suppose 14*m - 13*m - 22 = 0. Let k = 25 - m. Let r(s) = 3*s**2 - 5*s + 3. Calculate k*r(y) + 8*n(y).\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 10663\nAnswer: -64\/10663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 74601.5.\nAnswer: 29840.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13706 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -139, -280, -421, -562, -703, -844?\n\"Answer: -141*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 635.4 - 549. What is the second biggest value in -1, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 3, e: 15, o: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -12.2 (c) 6 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(52)\/(-3*sqrt(4))*-3 + 1 + -1 + sqrt(78)\/sqrt(6))*-5.\nAnswer: -30*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 142447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -15*j**2 + 10*j + 19. Let s(a) = 76*a**2 - 53*a - 100. Let z(w) = 4*s(w) + 21*v(w). Suppose 5*n - 3 = -4*l, n - l = 2*l - 7. Calculate z(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1514, -11819, -39852, -94475, -184550, -318939, -506504?\nAnswer: -756107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211 - 6?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 8*r)*(-5 + 0 + 0)*(-14*r**3 - 23*r + 23*r).\nAnswer: 420*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0*h + 0*h + (2 + 2 - 2)*(-5*h + 2*h - 4*h) - h - 4*h + 17*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/(-15)*(-18)\/30. Determine t so that -v*t + 2\/3*t**2 + 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74898542?\nAnswer: 2, 31, 47, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58046 is divided by 165.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19725983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/2093*(-7)\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 229, 515, 915, 1429, 2057, 2799?\nAnswer: 3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011220 + -10?\nAnswer: 101011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3\/2*u**2 + 5\/3*u**3 + 1\/4*u**4 - 4*u - 1. Let v(n) = -n + 4. Let z be v(8). Determine o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*d = -6, -3*b - 14 = 3*d + 13. Let v be (b\/4 - 0)*-1. Let n = -2378\/11 + 216. Is n > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(325) + 1)**2 + 1)*3 + -1 + 3.\nAnswer: -4195 - 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1934060 + 14?\nAnswer: 1934074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 + 251. Let c(v) = -93*v + 750. Let g be c(8). Suppose -g*s + m = 2*s. What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 903091496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))**(-2\/27)\/(q\/(q**(3\/2)*q)*q**1) assuming q is positive.\nAnswer: q**(65\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:21 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 9*u - 13*u + 61934, -3*v - 5*u + 92903 = 0. List the prime factors of v.\nAnswer: 30971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(3*o + 0*o - o) + 2 - o - 2)*(2 - 3 - 6)*((3 - 6 + 2)*(-1 + 5 - 2) + 6 - 2 - 3 + 83 - 133 - 142).\nAnswer: 4053*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5621*q + 5708*q = 522 + 1392 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-51)\/6 - -6)\/(-10*(-1)\/(-4)). Sort -1, z, -5, -3, 92 in ascending order.\nAnswer: -5, -3, -1, z, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 + 1 = 0. Suppose -3*x - 60 = -f*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 10. Let p be t(-3). What is the closest to 8\/3 in 0.4, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1473*r - 8750. Calculate the remainder when 12318 is divided by x(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4755960?\nAnswer: 2, 3, 5, 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38499559, 76999114, 115498669?\n\"Answer: 38499555*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.02, -1\/826, 1 in ascending order.\nAnswer: -2, -1\/826, 0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*u = 3, -6*d + 2*d - 5*u = -5. What is the derivative of 318 + d*t - 3*t**2 - 4*t - 349 + 24*t wrt t?\nAnswer: -6*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51315423 (base 6) in base 5?\nAnswer: -334102244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.647048km in millimeters?\nAnswer: 1647048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/60 + 4*n**3\/3 + 36*n**2 + 2*n. What is t(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 31*u + 35*u - 1497 = 0, 3*w + u - 1497 = 0. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -21. Let r = -84 + x. Let d(c) = c**3 - 4*c + 4. Let f be d(r). Solve f = -0*k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16101 at most -17519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100 times 2\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91452 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 18*s**2 - 5*s**2 - s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8113378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 75*h - 669. Determine r(12).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (36\/162)\/(2\/45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4397 + 0.5397. Let w = 7 - 3. What is the closest to y in w, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - -0.7. Let w = 2.9 - 3. Let d = -347999\/2 - -174001. What is the fourth biggest value in w, 0.4, d, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -15\/4, -2\/3 in decreasing order.\nAnswer: 1\/14, -2\/3, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -288000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10626 and 1808994.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6023.434ml to litres.\nAnswer: 6.023434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from kkweekektt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77586074?\nAnswer: 2, 599, 64763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -233542, -1, 4 in decreasing order.\nAnswer: 25, 4, -1, -233542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31336, -62585, -93884, -125257, -156728, -188321, -220060, -251969?\nAnswer: -284072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(3*3\/72). Suppose 6*r - r = f*i - 80, r = -3*i + 79. Suppose l = -4*q + i, -4*q + 3 = -q. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b**3 + 713695 + 10*b - 713695 - 25*b**2 = 0. Calculate b.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/5)\/((-2)\/(-15)). Suppose 472369*c = 472391*c. Solve c = -h + f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + c - 4 = 0, -4*i + c - 10 = 0. Sort -3, -4, i in descending order.\nAnswer: i, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14968*h*q**2*x**2 - 75*h*q**2 + 237*h*x**2 + 5191*h*x wrt x?\nAnswer: 29936*h*q**2 + 474*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3728 and 2235968.03.\nAnswer: 2232240.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/3, -10.4, -5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 4*m - 57*q = -59*q + 76, 12*q - 14 = -m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/36 + (-18)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55053 is divided by 6836.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:20 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 799 + -450. Let q = r + -126. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5641039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 355 + -353. Let x(o) = -6*o**2 - 2*o. Determine x(t).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134, -129, -136, -161, -210, -289, -404, -561?\n\"Answer: -b**3 + 12*b - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -75. Let b = 33 - z. What is b rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**8\/360 + 11*v**6\/240 + v**5\/60 + 61*v**2. Let q(o) be the third derivative of x(o). Differentiate q(w) with respect to w.\nAnswer: -112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-24 - -11) + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*v + 993*v = 620 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66 + 32 + 11*c**4 + 24*c**4 - 57 wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 3, a: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 2, f: 4, n: 1, d: 1}. Give prob of sequence kj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -23, -68, -127, -200, -287?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2183, 2, -4 in decreasing order.\nAnswer: 2183, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2\/f**(-4))**(-46))**(1\/4) assuming f is positive.\nAnswer: f**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*b*q**4 + 3*b*q - 5*q**4 - 2*q**2 + 124 wrt q.\nAnswer: -204*b*q**2 - 60*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134, -130, -126?\n\"Answer: 4*i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.44491 and -81807.\nAnswer: -81806.55509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2176\/40 + (-6)\/15. Suppose -54*a = -36*a - o. Solve a*c - z = 8, -2*c + 6*c - 2*z - 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 62*g + 2554. Let j be a(-41). Solve 12*i - j = 72 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3869, -20293, -47667, -85991, -135265?\n\"Answer: -5475*n**2 + n + 1605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x + 60*x + 18*x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644 = -5*r + 1006. Let q be (-1 - 0)*r\/(-22). Suppose -5*b - f = -q - 4, 16 = 3*b - 4*f. Solve -3*c + 4*j = -14, -c = b*j + j + 27 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o. Let t(q) be the first derivative of 0*q**2 + 0*q + 121 - 23\/3*q**3. Determine t(f(g)).\nAnswer: -92*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9242 + 0.7242. Are 458 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205\/4 - -51. Let n be (-39)\/190 + ((-580)\/(-95) - 6). Let i = -39 + 35. What is the closest to -1 in n, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1141926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.85937 - -0.14063. Sort -0.1, s, -110, 0.4, 5 in descending order.\nAnswer: 5, s, 0.4, -0.1, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = g, -2*g = 4*c + g - 14. Let y(b) be the first derivative of 1\/3*b**3 + 3\/2*b**c + 6 - 3*b. Calculate y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*a = 39*a - 10 + 70. Let m(k) = 5*k**3 - 2*k + 2. Let y(c) = -26*c**3 - c**2 + 11*c - 9. What is a*y(j) + 11*m(j)?\nAnswer: 3*j**3 - 2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38702?\nAnswer: 2, 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)\/(d\/(d\/((d\/d**(-4))\/d))))**(1\/4)*((d*d*d\/(d\/(d*d*d\/(d*d*d**(-4\/5)*d*d))))\/(d**8\/d))**12 assuming d is positive.\nAnswer: d**(-1267\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/4 - 2*w**3\/3 + 4*w**2. Let d be g(4). What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*16\/88*5\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:22 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143, 147, 139, 113, 63, -17, -133?\n\"Answer: -r**3 + 11*r + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14214631\/3 or 4738210?\nAnswer: 14214631\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -0.3, 3, 2 in increasing order.\nAnswer: -8, -4, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 238977169007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -5*g + v + 120, -4*v = -4*g + 408. Let l = g + -67. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*d + 7, -3*d + 217*x - 11 = 221*x. Sort 0, -2, 7, d, 5 in decreasing order.\nAnswer: 7, 5, 0, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1315, 3790, 6265?\nAnswer: 8740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3046647 is divided by 76166.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5383923971?\nAnswer: 5383923971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 604 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -934.\nAnswer: 3\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*w + 154 - 1016 = 74 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 55\/4 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/24 - 1*(2 + -1). Which is smaller: i or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -538 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcc. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 5*q - 29. Let b = q - 31. Calculate the smallest common multiple of 20 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 14. Let s(f) = -f**3 + 8*f**2 + 9*f. Let r be s(9). Let q = d - r. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/87 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:12 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (-6 - -5)) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48392467 + 4?\nAnswer: -48392463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 112*r**2 - 57*r**2 - 54*r**2. Let s(g) be the second derivative of -11*g**3\/3 + 25*g. What is s(q(d))?\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1. Let c(i) = -2*i + 4. Let z(n) = c(n) + 2*s(n). Calculate z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/492 and -23\/1681.\nAnswer: 20172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1346 (base 11) to base 15.\nAnswer: -7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - 2?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8 - 666*u - 11.\nAnswer: -666*u - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/(b\/b**(-3\/5))))*b*b*b**2)\/((b**(-1)\/b)\/b**(-9)) assuming b is positive.\nAnswer: b**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-28)\/9 + (8190\/81)\/(-35). Suppose -o - 4*o = 0. Let p be -1 - 0 - 0\/1. Put r, o, p in decreasing order.\nAnswer: o, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w = 5. Let t = 21 - w. What is the greatest common divisor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10011409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 6*b - 4*p = -5491, p + 5496 = 5*b. What are the prime factors of b?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 1503 + 3683 + 0*d - d.\nAnswer: 5*d + 5186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 11. Let u be r(10). Let b be 1\/3 - (-15)\/u. Sort 5, 1, b in descending order.\nAnswer: 5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f. Let k(b) be the first derivative of b**2 + 19. What is n(k(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*g**3*z - 9*g**3 + g*z + 8*z + 101 with respect to g.\nAnswer: 42*g**2*z - 27*g**2 + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19873 + -9449. List the prime factors of s.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570 * 332\nAnswer: -189240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.111 (c) -1\/5 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - q = 1, 1540*y - 1535*y + q = 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 18. Let k be w(10). Let a(g) = -4*g - k*g + 3*g. Let s(i) = -6*i**2. What is a(s(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-21)\/14)*52. Solve -t - 2*t - 18 = -3*m, 5*m - x = 3*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/99)\/((-5)\/(-1)))\/(26\/(-546)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*l**6 - l**2 - 1057*l?\nAnswer: 4800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -263800 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2192 - -2192. Factor a + 4\/7*w - 4\/7*w**2.\nAnswer: -4*w*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6792 rounded to one decimal place?\nAnswer: 38.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**3 - 12*l**2 + 16*l + 8. Let t(r) = -13*r**3 + 23*r**2 - 30*r - 15. Give 11*d(w) + 6*t(w).\nAnswer: -w**3 + 6*w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-12*6\/18)*(-36)\/(-105).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4 + 6*a**3 - 2378*a**2 - 336*a - 12?\nAnswer: -48*a**2 + 36*a - 4756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1434, 2991, 4554, 6123, 7698?\n\"Answer: 3*k**2 + 1548*k - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -77, -177, -317, -497, -717, -977?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3.1, -3\/4, 0, -1692.\nAnswer: -1692, -3.1, -3\/4, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmnmmmmmnmmm?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10011*s + 65765 + 735115 = 0 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 + 2*v**3 + 2*v**3 - 6*v**3)*(-29*v - 5*v**2 + 29*v).\nAnswer: 10*v**5 - 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 + 5*s**4 - 961793*s**3 - 26601731*s**2 - 2?\nAnswer: -120*s**2 + 120*s - 5770758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.3. Suppose -48 = t + 3*t. Let r = t - -11. What is the closest to r in -0.2, w, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wqwqwwqwwwwwwwwwww?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 0.3, 22, 2, -47?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 1070271378*r**3 - 1075638234*r**2 + 5373584*r - 6728 = 0.\nAnswer: 58\/23133, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325.1629 centuries to millennia.\nAnswer: 32.51629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 5, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179773 is divided by 3745.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/28)\/((18\/(-7))\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 40 = 2*n, 5*n + 0 - 4 + 9 = 12*k - 17 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**2 + 357*z**2 + 991*z**2 as y + w*z + b*z**2 and give b.\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/6*(-8)\/14*1. Differentiate 6 + 7 - l**g - 12 with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -29. Suppose -18*m + 3875 - 41 = u. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199.58 - 121.75. Let k = 76.75 + 0.25. Let d = b - k. Round d to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/21)\/(3\/(-36)). Let j = 3 - 0. What is the second biggest value in j, 5, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(5993*w - 5984*w + 23 + 184) in the form s + q*w and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 0, -3 in descending order.\nAnswer: 0, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20112528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-2)\/8). Let l be (-3)\/(-6)*(p + -1). Suppose 7*w + 228 - 291 = 0. Do w and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 3, -98, 1 in increasing order.\nAnswer: -98, -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 981*t**4 + 13*t**5 - 36*t + 4*t**2 - 981*t**4 + 2*t**6 - 5*t**2 wrt t?\nAnswer: 240*t**3 + 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 7}. What is prob of picking 2 w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - (-57 - 2 - (4 + (6 - -3)))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 13 + 13 - 4*s + 2*s**2 + s**2 - 4*s**2 + (-s + 2*s - 3*s)*(-4*s + 2*s + 0*s).\nAnswer: 5*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146, 2204, 7048, 14386, 24218, 36544, 51364?\n\"Answer: 1247*d**2 - 1391*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 12*b + 34. Determine c(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*i = 6, 2*u + 3 = 3*u + 5*i. Let b(y) = 58 - 2*y + 55 + u*y**2 + 4*y + 2*y**3 - 112. Determine b(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 85 = -103. Suppose -2*v + 12 = y - d*y, y - 3*v + 10 = 0. Put -2, y, -5, 4 in ascending order.\nAnswer: -5, y, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.167 - 38.767. Let t = d + 44. What is t rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32561.2278 rounded to the nearest 10?\nAnswer: -32560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 14}. What is prob of sequence kw?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0021904 rounded to four decimal places?\nAnswer: -3.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 290 + -202. What is the highest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, -3, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 - 113. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191171977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 213*v**2. Let f(g) = -2*g - 9. Let h be f(-6). Let a be l(h). Let x = -724 + a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from {m: 3, i: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 rounded to the nearest 10?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/4 + (14 - 9).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 4. Let y be v(-4). Let z = y - -6. Let f be 15\/z*(-4)\/(-5). Solve 5*n + 37 = 5*x + f*n, 4*n + 21 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -6*k + 84. Calculate the highest common factor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 27 = 2*z - 2*k, 0 = -z + 5*k + 41. Solve 6*x + z*x - 128 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4083, -7486, -9513, -9474, -6679, -438, 9939?\nAnswer: 25142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(5\/((-15)\/6)). Let m = -10 + l. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from hhkxxxmhkxxx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 585085?\nAnswer: 585079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -72, -241, -572, -1119?\nAnswer: -1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or -182?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*j - 458*j - 62*j)*(-1 - 4 - 1)*(0*j - 4*j + j) to g*j + l*j**2 + h and give l.\nAnswer: -10404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**5*k*k)*k**13*k*k*k**8\/k*k*k*k\/(k**5\/k*k*k))**25)**(4\/7) assuming k is positive.\nAnswer: k**(1300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 2*l**2 + 2*l - 2. Let i be c(2). Let n be 1\/3*(6 - (0 + 0)). Let t = i + n. Sort t, -4, 5 in increasing order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:51 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 1 = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21919 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 296*o**2 + 2 + 6*o**3 - 77*o**2 - 8*o**3 + 2*o**3 to the form l + c*o + h*o**2 + b*o**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 2814335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2696485 and 416240?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 448, 677, 906?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 1. Let q = 0.2 + -2. Let d = q - -2. What is the smallest value in -3, d, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2 - 53*r - 28. Let f be b(-8). Calculate the greatest common divisor of f and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1432503203 (base 6) to base 5\nAnswer: 14022101013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -5\/4 (c) 0.4 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 58 = -26. Suppose -2*w - 2*s - 68 = 0, 0 = s - 5*s - 12. Let t = w + 53. What is the remainder when m is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 - 5*n - 6. Let g be o(-4). Let k be 2\/(-36)*(-11 + g). Which is the third biggest value? (a) 0.1 (b) k (c) -2\/7 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*g - 9 = 0, 3*g - 4 = 7*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258727\/12 + 21577. Let u = -55\/4 + d. Determine z, given that -u*z**4 + 8\/15*z**2 + 6\/5*z - 4\/15 - 18\/5*z**3 = 0.\nAnswer: -1, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122496 and 768?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.0000031. Round n to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 341 - m**4 - 19*m**3 - 67 + 42 + 2*m**2 + 18*m**3 in the form p*m**4 + z*m**2 + d + q*m**3 + u*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 12:19 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9615\/8 (b) 0.034 (c) 2\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13529*v**2 + 25169*v**2 - 14348*v**2.\nAnswer: -2708*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.37. Let a = h - -0.162. Let v = 0.057 + a. Round v to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (-70)\/284*6156\/189. Let t be (-2)\/(-5) - 4\/10. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.8487 and 156.82.\nAnswer: 159.6687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 20*z + 3. Let b be w(20). What is the greatest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -29, -77, -113, -119, -77, 31, 223?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37310 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - q + 74176 - 663548, -v + 117881 = 2*q. Suppose 4*l = v + 108593. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + (sqrt(1573) + (sqrt(1573) - -3*sqrt(1573)))**2 + sqrt(1573) - (sqrt(1573) - (((sqrt(1573) + 2)*2)**2 - sqrt(1573)))))*-2.\nAnswer: -91266 - 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/2 + 2199*c**4\/4 - 12045*c**3\/4 + 12019*c**2\/4 + 16419*c\/4 - 4923\/2 = 0.\nAnswer: -1, 1\/2, 3, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-286)\/4 + 1\/2. Let p = -18 - m. Let y = p - 36. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 10, -5*t + 35 = 14*o - 13*o. Calculate the least common multiple of o and 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 491 + -494. Is g greater than -52\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 471, -3.14, -0.1, 0.3 in descending order.\nAnswer: 471, 0.3, -0.1, -3.14, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**2 - 11*t + 27. Let y be s(3). Let q be 57\/y*(0 + 0). What is the second biggest value in 3\/4, -0.02, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -52?\nAnswer: -19\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -157.98 = -10\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/21*(-6)\/5. Suppose 0*d - 4*k + 68 = g*d, -5*d = -4*k - 103. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 120\/180*(-285)\/(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 239, 427, 687, 1037?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229\/7 - 713\/21. Let x = c + 44\/21. Determine a, given that 2\/7*a**2 - x*a + 6\/7*a**3 - 2\/7*a**4 + 0 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 2*k + 80, 4*f + 6018*k - 6017*k + 35 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.98 - 0.02. Let y = 40 + -39.8. Let h = 1\/21 + -5\/7. Sort h, y, i in ascending order.\nAnswer: i, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 17)*18\/4. Let i = -325\/6 + p. What is the smallest value in 1, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3183 - 1469. What is the units digit of 16\/104 - b\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l**(-1))))**(-4\/11)\/(l**7\/(l\/(l*l**(4\/3)))) assuming l is positive.\nAnswer: l**(-287\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k - 226 = -1381 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, a: 3, l: 3}. What is prob of sequence naa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 2*s + 59 - 113, -3*s + 46 = -4*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -5.2. Let j = -3.40000051 + u. What is j rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.122 + 0.038. Let q = 24.48 + -24.346. Let i = j + q. Which is the second biggest value? (a) i (b) -3 (c) 3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 225414?\nAnswer: -225420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.101? (a) -15 (b) 3\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**5 - 2*v**4 - v - 2. Let r(w) = w**5 + w**4 + 1. Let b(s) = 2*r(s) + z(s). Find the second derivative of b(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x*x*x**(-4\/5))*x*x**13*(x*x*(x\/x**(-1))\/x*x)\/(x*x**(-3\/2)\/x) assuming x is positive.\nAnswer: x**(173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -160 + -b?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80186131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*k - 6*k. Let q(s) = -s - 8. Let f be q(k). What is the second derivative of 0*c + f*c**3 - c - 4*c**3 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312937?\nAnswer: 312937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 479.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - -0.82. Let f be -7 - (-602)\/56 - (5 - 1). Sort a, f, -4 in ascending order.\nAnswer: -4, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35504 by -1.\nAnswer: -35504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.086373641 times -3\nAnswer: 0.259120923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:04 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqdekq. Give prob of picking 2 q and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*a - 72, 10*a = 2*d + 12*a - 108. Let y(l) be the first derivative of 36*l**2 + 9*l**3 + 3\/4*l**4 + d*l + 12. Determine o so that y(o) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6239.\nAnswer: 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -2112, -3960, -6550, -9882, -13956, -18772?\nAnswer: -24330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 24 in decreasing order.\nAnswer: 24, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/5 + 286*t**3\/15 + 182*t**2\/15 - 286*t\/15 - 188\/15 = 0. Calculate t.\nAnswer: -47, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) -5 (c) 6 (d) -2\/17 (e) 2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9015685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g**(-1)\/g)\/g)\/g))**(-9\/4)\/(g\/(g*g**1*g)*g)**(-2\/101)*(g**(2\/5)*g\/(g*g**(3\/8)*g))**(2\/103) assuming g is positive.\nAnswer: g**(-1174367\/104030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 40473, -8\/57, -3, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94046286 + 94046286.62199829. Let y = -0.622 + d. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216016276 <= 216016276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 14. Let y be x(5). Suppose -y*f = -11*f + 40. Suppose 58 = 8*w - 14. Is w >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.88085 litres to millilitres.\nAnswer: 72880.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*f + 9*k - 10*k, -36 = -4*f - 4*k. Suppose 2 = -4*s - t, -4*s + f = -4*t + 5. Solve 3*g + g = s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.199987 + 2.2. What is d rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 46 + 438 = 3*t, 0 = t - q - 161. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (-3*(sqrt(187) - (sqrt(187) - (sqrt(187) - sqrt(187)*2))) + sqrt(187))\/(sqrt(11) - sqrt(11)*2*-4)*5).\nAnswer: 40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -749*s - 759. Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**9\/756 + q**8\/84 + 3*q**7\/70 + 7*q**6\/90 + q**5\/15 + 10*q**3\/3 - 6. Let l(s) be the third derivative of n(s). Factor l(d).\nAnswer: 4*d*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -94.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1309 + 34348. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 - 2*y + 2. Let u be i(1). Let o(k) = 6*k**2 + 5*k - 11. Is 25 a factor of o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5928*v**3 + 28*v - 8 wrt v.\nAnswer: 35568*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 5. Let k = -10 - -15. Let v be p(k). Suppose f + 262 = v*y, 0*y - 2*f + 256 = 5*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290207209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**2 + 18*k**3 + 13*k**2 - 33*k**2 - 81*k**3.\nAnswer: -63*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525176921 to the power of 1\/2, to the nearest integer?\nAnswer: 22917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 410 and 246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -27. Suppose 0 = -3*c + c + q. Put -2, c, -1 in ascending order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 9*t - 14. Let k be g(6). Let b be (k\/(-4) - 2) + 87. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (4*sqrt(153) + sqrt(153)) - sqrt(153)) - sqrt(153))\/sqrt(9)*6.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 143. Let t = -0.361 + 0.031. Let g = -0.09 - t. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let o(i) = 13*i - 4. Suppose -1763 = -w - 1242. Let j = w - 520. Determine j*o(a) + 5*q(a).\nAnswer: 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23*-1.3\nAnswer: -29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 4*m**2 - 4*m**2)*((-6 + 6 - 6*m)*(-2 - 2*m + 2) + (-3*m + 5*m - m)*(m - m - 2*m) + 2*m**2 - 2*m**2 + m**2).\nAnswer: 22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -3*k**2 + 225. Let o(t) = -64*t**2. Determine u(o(y)).\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1439701830 from 145662.\nAnswer: -1439556168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-1)\/(-2)*-6. Which is the closest to p? (a) 4\/5 (b) 1 (c) 3\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25739695 to the power of 1\/2, to the nearest integer?\nAnswer: 5073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434087, 868176, 1302265?\nAnswer: 1736354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h - 4. Let j be (-13)\/(-4) - 12\/48. Suppose 14 + 1 = j*d. Is l(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/2)\/((-3)\/(-6)). Let g(c) = 6*c - 5. Let t(h) = 2*h - 2. Let y(f) = 2*g(f) - 7*t(f). What are the prime factors of y(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxfsxccsxsx. What is prob of sequence fssc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38988 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 506, -2.\nAnswer: -2, 38, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52447 + -4?\nAnswer: 52443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.94 - 0.36. Sort f, 4, -1.\nAnswer: f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1792 and -5?\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.52 (b) 3\/82 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 2. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*u + 10*u**2 + u**3 - 7*u + 5*u + 2*u in the form c + j*u + v*u**3 + o*u**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/5 - 3\/5*j**2 - 6\/5*j = 0. Calculate j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*m**4 + 2 + 0 - 2*m**4 wrt m.\nAnswer: -76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j + 9. Let v be (-19)\/(-2) + (-1)\/2. Is 27 a factor of w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21212 - 20111211?\nAnswer: -20012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:51 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.4, -2, -26\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 13326*k**2 + 133185*k - 332900.\nAnswer: (k - 13316)*(k - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 2787*b\/2 - 1393.\nAnswer: -(b - 2786)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(4\/(-12)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 25*u**4 - u**4 - 2*u**3 + 22*u**4 + 2 in the form c*u + i*u**4 + t*u**3 + w*u**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 14*b**2 - 17*b + 20. Give r(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - b - 1. Let c(q) = -q + 11*q**2 + 4*q**2 - 1 - 5*q**2. Let z(u) = -u**2. Let i(t) = -4*c(t) - 44*z(t). Give -18*f(x) - 4*i(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -363869 and -202.\nAnswer: -364071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + k - 5*k to r + v*k and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 55*n**4 - 255*n**2 + 3*n + 23886.\nAnswer: 40*n**3 - 660*n**2 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.43 and -3455.5.\nAnswer: 8396.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + z**2 + 36*z + 6. Calculate h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -25. Let t = 14 + n. Sort 0.5, t, -3 in increasing order.\nAnswer: -3, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3240*c**2\/7 - 9718*c\/7 - 6\/7 = 0 for c.\nAnswer: -1\/1620, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*l**4 + 0*l + 12*l**3 + 0 - 64\/5*l**2.\nAnswer: 4*l**2*(l - 1)*(l + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 9:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/286491 or 1?\nAnswer: 2\/286491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -205.7, 1, 0.5, -0.2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 39 - -21 - -12.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2\/(-4)*21. Let v = 36 - l. Solve -k = 4*k - v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553022433 (base 6) to base 13.\nAnswer: -20a09cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 3911712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3723.26783 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 400, -8, 451, 1, 0, 2 in descending order.\nAnswer: 451, 400, 2, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-32 + 19)) + -1 + 2 + -24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.49 - -7.490001882. Round n to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000241669 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*c = -3*v - 4, 3*v - 1 = 5*c. Let t be (v + 7\/3)*9 + 4. Let q(b) = -b**3 - 2*b**2 + b + 2. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 13\/5)\/(27\/135). Suppose -c + 9 = f. Let x = -8 - -9. What is the remainder when c is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5045579 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001126708 rounded to 5 dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74, -3, 16 in decreasing order.\nAnswer: 16, 0, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 + 10 = 2*w, 2*s + 10 = 0. Let h = 0.66 - -28.34. Let k = h + -28.6. Which is the closest to 1? (a) k (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -381, 30886, -4 in decreasing order.\nAnswer: 30886, 4, -4, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, -14, -155, -346, -587, -878, -1219?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (44 - ((-5 - 0) + 20)) + (12 + 0 - 1)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.16*0.2\nAnswer: 1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-43253.5.\nAnswer: 1211098","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/64440 and 29\/3136080.\nAnswer: 9408240","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 2. Let z be w(0). Let u(n) = n**2 - 4*n + 6. Let h be u(5). Suppose -5*r - 5*c = -0*c - 45, 4*r - h = c. Put r, 0.5, z in decreasing order.\nAnswer: r, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 12 + 39\/2*a + 3\/4*a**3 + 33\/4*a**2 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -0*i + 3*i + 34, -13 = -2*v + i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5 + 1 - 13*q + 5*q + 7*q + 3*q. Let v(w) = -2*w + 5. Give -4*i(c) - 3*v(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = -3. Let m(f) be the first derivative of d + 2\/9*f**3 + 2\/3*f + 2\/3*f**2. Factor m(j).\nAnswer: 2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1497 and 1496 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f - 22. What is r(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -814 and -825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1149 + 1145 - (31 - -2 - -3).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 + 310*q**4 + 3524*q**3 + 13276*q**2 + 17210*q + 7150 = 0 for q.\nAnswer: -143, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -942*i**2. Let o(m) = 12*m**2 + 1899. What is o(w(g))?\nAnswer: 10648368*g**4 + 1899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -63*j**3 - 7*j**2. Let o = 5 - 10. Let u be m(o). What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 540521\/123 or 4394?\nAnswer: 4394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -618711*t**3*u**2 - 596248*u**2 with respect to t.\nAnswer: -1856133*t**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1952 + -11677\/6. Is 7 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - -5. Let g(u) = -3*u**2 - 2 + u**2 + q*u - 41*u. Let a = -4 - -2. Give g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-6)*(-396)\/(-24) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 3*s**5\/5 + s**4\/12 - s**3\/6 + 2*s. Suppose -9 = -y + 13. Calculate the remainder when y is divided by r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*v + 19. Suppose 2*p - 2*t - 48 = 0, 7*p - 5*t = v*p + 70. What is the remainder when 47 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 + d + 5. Suppose -8*k = -k - 3*k. What is w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1426 + -1425.928. Which is the biggest value? (a) t (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoj when three letters picked without replacement from ojjhzjlwzlzlhzzzllhl?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3593\/14 - -6442277\/25102. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13.2 * -0.7\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 24.3. What is the nearest to -1 in m, 4\/3, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-49)\/7)\/28)\/(22\/(-2024)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -426610, -853217, -1279824?\n\"Answer: -426607*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82471\/45 - 9164\/5. Put b, -0.1, 0.1, 1792 in decreasing order.\nAnswer: 1792, 0.1, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -3*o**2 + 0*o - 1\/2*o**3 + 5\/6*o**4 + 0. Is s(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let g(t) = 2604*t**2 - 22*t. Calculate g(q(j)).\nAnswer: 10416*j**2 + 44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 0.22?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, v: 9, n: 7}. Give prob of sequence hnh.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -1402\/15, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 291500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a year in months?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 0.3. Let l = 6460 - 32301\/5. Which is the nearest to w? (a) l (b) -4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u - 1. Let s(o) = 4*o**2 - 3*o + 5. Let x(t) = -2*l(t) + s(t). Let n be x(3). Factor -19*w**3 + n*w**3 + 1 - 1.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.51769 days in seconds?\nAnswer: 1599928.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/4*(-14)\/(-196). Let i = 0.02 + -0.32. Let s = -3.7 + i. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 w when three letters picked without replacement from whhhwkmhwhhvhmhlhh.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386812149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k + 27*k + 15*k + 11251 - 8801 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 12510*n - 687793. Calculate f(55).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11430 and 4990338?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166\/(-249))\/(22\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110010001101000 (base 2) in base 12?\nAnswer: 76888","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 66*t**2 - t + 43. Calculate the remainder when 108 is divided by r(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41252117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, 39\/8, -10, -222, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 + 133 - (-23 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.6+341\nAnswer: 338.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from zhhhhhzhzhhzhzzhzzzz?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 68069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15258 and 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153031 + -2?\nAnswer: 153025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52185254361287 - 6.\nAnswer: 52185254361281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -29.07 (b) -0.5 (c) -16 (d) 0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.074, 0.3, -906?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 5*i**2 + 4*i + 3. Let n be 12\/(-15)*(5 - 0). Let l be h(n). Suppose -4*u = -4*w + 3 - 31, u + 9 = -l*w. Is u at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -6, 12 in increasing order.\nAnswer: -6, -4, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65015797.\nAnswer: 7, 11, 120623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -230311120 (base 4) to base 3\nAnswer: -100022220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62125 and 3056653.\nAnswer: 3118778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 721*l**6\/60 - 31*l**5\/10 + 2584*l**2 - l. Find the third derivative of c(b) wrt b.\nAnswer: 8652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*i - 90317 = 0, 0*q = -5*q + 3*i + 56456. Is q a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 26. Solve -2*b + 5 = 5*v, 12 = -2*b + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, -1\/2, 5\/2, 0.08, 0.02, 0.73?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 14 - (-2 - -2)) + (1 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmcmmcmc. What is prob of sequence ccc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9232291\/110 - -83929. What is the common denominator of h and 14\/55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (48\/108)\/((-2)\/188*(-64)\/(-144))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -21212?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9290? (a) 4 (b) 0.5 (c) -0.03 (d) -164\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-5*6*-1)\/(sqrt(56)\/(sqrt(7) - (sqrt(7) + sqrt(28)\/(-1*sqrt(4))))) + -1.\nAnswer: -1 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.16, -2\/5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = 0, 4*v + v - h + 23 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - h. Suppose 56*j - 49*j - 21490000 = h. Round j to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*i + 4*p, -4*i + 5 = i - 2*p. Suppose -i*z + 168 = 4*v - v, -3*z - 4*v + 167 = 0. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 0*z**3 - z**2 - 3*z + 7*z - z**3 + 3*z**3 to n*z**3 + f*z**2 + s + w*z**4 + i*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0\/3) + -64186. Let y = -44188 - v. Round y to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.8355t to kilograms.\nAnswer: 908835.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 41*s + s)*(0*s - 3*s + 2*s + (6 - 1 - 4)*(0*s + 0*s - s) - 2*s - 1 + 1 - 3*s + 5*s - 3*s).\nAnswer: 230*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-9)*k*k))**(-25)*(k**(-7\/4))**(1\/40) assuming k is positive.\nAnswer: k**(-24007\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 17*y + 7. Give t(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 3, q: 6, s: 2}. What is prob of sequence wssp?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 - 6*o - 2. Let a be s(-5). Let g be (3\/(-9))\/(-4 - 476\/(-120)). Suppose 0 = -17*k + 12*k + g. Which is greater: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 604566725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6180)\/13905 + (2337\/(-27) - 3)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 27*l**4 + 24*l**4 + 2*l**2 - 32*l**3 + 35*l**3 to the form x*l + r*l**2 + p*l**3 + w*l**4 + b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8. Suppose -3*v + l = -4. Let r be (v + -5 - -5) + 3. Solve -2*c - 3*z + 15 = 0, r*c = z + 2 + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5*(-3)\/6*40\/(-340).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1900 + -3340. What is h rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68353192, 68353191, 68353188, 68353183, 68353176?\n\"Answer: -q**2 + 2*q + 68353191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = n - j, -2*n - j = -4*j - 336. Let a be ((-48)\/40)\/(328\/n + -2). Suppose a = 4*l + 35. What is the highest common divisor of 144 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 2*x + 8, 5*d + 10 = 5*x. Let l be 39\/(-2)*d\/6. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 10*r**2 - 17*r + 3. Is s(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 - 122. Let b(m) be the third derivative of -m**8\/20160 - m**7\/2520 + m**6\/180 - m**5\/30 - m**2. Let j(n) be the third derivative of b(n). Give j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3942, -3941, -3940, -3939, -3938, -3937?\n\"Answer: o - 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12925 and 1375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 4200 = -2*v - 27*q, -2*v - 5*q + 4202 = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3 + 7*f**2\/2 + 13*f. Differentiate w(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9. Let c be (i + (-5)\/(-10))*30. Suppose v - 35 + c = 0. Is 19 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11087*j**3*w**2 - 423459*j**3 + 26*j**2*w**2 wrt w?\nAnswer: 22174*j**3*w + 52*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 14 (b) -0.4 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 5. Let j = -9 - -15. Let y(k) = -8 - j + 13. Give a(t) - 5*y(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i + 7. Let l(v) = -1 - 4*v - 4 + 2. Let y(j) = -j**2 + 6*j - 3. Let n be y(6). Determine n*m(f) - 7*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 53. Let n = -0.2 + -0.2. Let o = n - -2.4. Which is the closest to -0.1? (a) -0.5 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {u: 4, x: 1, s: 3, a: 1, e: 1, m: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 3*p - 3. Calculate b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(540\/(-12))*(-372)\/2914?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Which is greater: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 2\/8*4. Suppose 273 = g*o + l, -2*o - l - 81 = -264. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*15\/(-10)*(-8)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b. Let p(a) = 15484*a + 143. Give q(p(n)).\nAnswer: 108388*n + 1001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:53 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = 3*c - 3, 0 = 3*q + 12. Let s = 10901 + -10897. What is the nearest to c in -0.5, s, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 634, 1019, 1404, 1789, 2174?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*l - 3*b**3 - b**2 + 294*b + 2033497*l - 845 wrt l?\nAnswer: -2*b**3 + 2033497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3314, 6070, 8824, 11576, 14326, 17074, 19820?\nAnswer: 22564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -139233.6?\nAnswer: 27846.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8867*r**6 + 2*r**2 + 673 wrt r?\nAnswer: 1064040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 20, -2*q - 2*h - 32 = q. Let d(x) = -x**3 - 6*x**2 + 12*x + 4. Is 9 a factor of d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(40)\/sqrt(5)) - (1 + ((sqrt(16)*2 + sqrt(16))\/sqrt(2) - sqrt(8))))**2 + 2 + 5.\nAnswer: 308*sqrt(2) + 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265026690 by -108930.\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217 + -276. Which is smaller: p or -58?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2013033 (base 4) to base 3\nAnswer: -102212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 + 1)*(-1 + 1 - d) - d + 2 - 2)*(-96*d - 90*d + 232*d)*(-9*d - d + 8*d - 2) in the form w*d**2 + p*d + m + g*d**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (371 - 507 + 1359 + 482 + 403 + 454)*(-6 + 6 - 12*a) to the form k + p*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -40*z - 18. Let s be f(-3). Suppose -110*q = -s*q - 328. Calculate the remainder when 81 is divided by q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204432 divided by -6?\nAnswer: 34072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, -5 in descending order.\nAnswer: 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:42 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/9 and 9\/380486?\nAnswer: 3424374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00214650052 rounded to six dps?\nAnswer: -0.002147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**2 - 2*z + 1. Let c be w(1). Suppose 7*a - c*a = -48. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5874 and 107\/1068?\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549068506 + 19*g - 549068506.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + w + 81*w**2 - 86*w**2 - 180878.\nAnswer: -5*w**2 - w - 180878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1466 != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1782695 rounded to 3 decimal places?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.7*-0.6\nAnswer: -2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 737\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4 + 4221*f**3 - 1548000*f**2 + 44020992*f = 0. Calculate f.\nAnswer: 0, 31, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 + -63. Suppose 9*y = 11*y - 12. What is the highest common divisor of g and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y = 10. Find the third derivative of y*f**2 + 5*f**6 - 4*f**6 - 4*f**6 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343900784 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 + 111280?\nAnswer: 111301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 22301.\nAnswer: 22296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8483893)\/(-67914) - -7)*(-1)\/(-100). Let a = -2\/8575 - i. Find the common denominator of a and -26\/7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -338 + 359. Let j be (y + -15)\/(4\/(-78)*-3). Calculate the highest common divisor of j and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*v - 360 = -18*v. What is the smallest value in 4, -0.53, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1))**(3\/4)\/(z**(-3\/5)*z**(3\/4)))\/((z*z**(-1\/5))**(-38))**1 assuming z is positive.\nAnswer: z**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33.73 * 3\nAnswer: 101.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q + 129. Give o(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1899412804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d + 17. Let i(p) = 24*p + 34. Let q(u) = -u**2 - 4*u + 1. Let r be q(2). Let g(w) = r*k(w) + 6*i(w). Differentiate g(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1962049814986 - 31?\nAnswer: -1962049815017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 85*v + 1810. Let f be x(-32). What is the greatest common divisor of f and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4756612 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 20, 31, 58, 101, 160, 235?\n\"Answer: 8*i**2 - 29*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77473 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 199*a**3*k + 2*a*k + 210*k wrt a?\nAnswer: 597*a**2*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -33929 - 2522*o + 33929 in the form u*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 528348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -10*d**3 + 79622*d**2 - 154278382*d - 16883162382 = 0.\nAnswer: -519\/5, 4033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 28 = -2 - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -5\/12*g**4 - 5\/3*g**3 + 0 - 5\/2*g**2 - 10*g. Factor u(i).\nAnswer: -5*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2565 divided by -4.\nAnswer: 2565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70618747 to the power of 1\/2, to the nearest integer?\nAnswer: 8403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -397, -1214, -2451, -4108, -6185, -8682?\n\"Answer: -210*w**2 - 187*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12808 and 1016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8) + (-654)\/1744?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901268 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {e: 3, k: 9, x: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39479a (base 13) in base 11?\nAnswer: 863649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3)*2)\/((-32)\/96). Let j(t) be the second derivative of 1\/2*t**4 + 0*t**3 + 0 - 6*t - 5\/2*t**d. What is the first derivative of j(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 5. Let s be (174\/(-10))\/(65\/(-650)). Let c = s + j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in -3, 5, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/7, 10, -25.45, 4, 1\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 5. Let v(q) = 2*q - 10. Let n be v(6). What is the closest to 1\/2 in n, d, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -8, -3, 4?\n\"Answer: t**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-70)\/11451). Let x = -313\/5 - r. What is the common denominator of 63\/58 and x?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 12*n + 140. Let m(q) = 5*q**2 + 27*q - 280. What is -7*c(s) - 3*m(s)?\nAnswer: -s**2 + 3*s - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {g: 2, m: 1, d: 2, i: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-348)\/6873)\/(2*(-2)\/(-2))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 2\/5, 6\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349038490.\nAnswer: 2, 5, 29, 1203581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68104.437 and -0.3.\nAnswer: -68104.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 225914676 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3326 - 3284. What is the remainder when 354 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5304985, -10610003, -15915021, -21220039, -26525057?\n\"Answer: -5305018*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*p - 10*p - 34*p - 22*p + 39 + 115*p in the form d + x*p and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/32 and -19\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5965?\nAnswer: 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(2)*6 + (sqrt(6) - (sqrt(6) - (sqrt(6) + (sqrt(54)*2)\/sqrt(9)))))\/(-6*sqrt(128)*-1).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -26. Suppose 0 = 4*j + 8, -r + j - 2 = -v. Let a = r + -3. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 + 3. Determine p(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2268*z**2 + 183 + 1168*z**2 + 1102*z**2)*(0 + 2*z + 0).\nAnswer: 4*z**3 + 366*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-6))\/(1\/66) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 4, p: 1, w: 3, m: 5}. Give prob of sequence wm.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + o = -32 + 8, 0 = -5*m - o + 39. Solve 4*d = q, 0 = 10*q - m*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011032 - -1?\nAnswer: 10011033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08707 and 0.5298.\nAnswer: 0.61687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/3, -0.03 in descending order.\nAnswer: 2, -0.03, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -272*l + 274*l - 3*p, 2*l - 50 = -3*p. Which is greater: l or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(-44)\/(-55)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u - u - 3*u. Let v(c) be the second derivative of 0*c**3 + 0*c**2 + 0 + 41*c + 1\/6*c**4. Determine r(v(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 - 67d?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 811 and -0.0237.\nAnswer: 810.9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.480304 and -0.081?\nAnswer: -0.038904624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4139291 or -37253608\/9?\nAnswer: -4139291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130.0074 - 130. Round d to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 18*g**2 - 15*g - 22. Let u be r(19). What is the greatest common factor of 108 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1482*h**3 + 1 - 1 + 1503*h**3 - 3000*h**3.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 1331?\nAnswer: 3993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 267923264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5845*q = 5847*q - 2*i - 14, 5*i = 3*q - 29 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(105)\/sqrt(3))*-1)\/(sqrt(45)*-1 + sqrt(45) - sqrt(5)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114983400 by -12.\nAnswer: 9581950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98800268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*f - 5*j, 4*j - 40 = -0*f - 5*f. Let i(t) = t - 9. Let z be i(f). Let b(k) = k**2 + 3*k + 6. Calculate b(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 9*y - 4192. Let f = y - 504. Which is the second smallest value? (a) -5\/7 (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.152 and -0.1.\nAnswer: 0.8152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 1. Let w be x(-6). What is the highest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006346 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose -d*z - 3*p - 4 = 0, -5*z - 27 = -0*p - p. What is the smallest value in -0.5, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 20 = p, 24 = 3*h - 3*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 - u**3\/6 - 85*u**2 - 6*u + 3. Let r(p) = -15*p**3 - p**2 - 3. What is -d(j) + r(j)?\nAnswer: -15*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 6*m**2 - 2*m - 4. Let y = 2786 + -2768. What is the remainder when f(-5) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6477.691 weeks?\nAnswer: 3917707516800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 14 = -4*j, 4*q = q + 6. Let x be (j\/(-3))\/2*0. Suppose -v + x*v = -11. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) -0.1 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3138973742.\nAnswer: 2, 31849, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a1 (base 12) in base 11?\nAnswer: -1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjboovffjvovvkovofo. Give prob of sequence vo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b93e84 + 2c?\nAnswer: -b93e57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 4*w**2 - 3*w**2)*(w + 1 - 1).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*o + 6 = 4*a, -5*a + 2*o + 21 = 0. Suppose p - a*i + 17 = -p, -3*p = -3*i + 3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16*154\/880 + (-3)\/1. Sort -0.5, s, -1, -2\/5, 1\/88 in increasing order.\nAnswer: -1, -0.5, -2\/5, s, 1\/88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-36))\/((-6)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.55962 in -0.2, -3\/8, 0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*-4 + 20. Let q = k - 24. Is 19 a factor of q\/7 + 12210\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.7 + -19. Let r = -0.2 - 14.8. Let d = r - -16. Which is the nearest to d? (a) j (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3 = 5*g. Suppose 22 = z + g*y, 3*z - 14 = -0*y + 4*y. Calculate the smallest common multiple of z and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by -6.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/120 - p**4\/24 + 8*p**2. Determine o, given that v(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 51, 92, 133, 174?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:17 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 - 0.84.\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**3 + 5*t + 7*t**3 + 0*t**3 - 5*t**3.\nAnswer: 11*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x)\/x*x**(4\/9))\/(x*x*x**(-9))**(-23) assuming x is positive.\nAnswer: x**(-1490\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 + 3. Suppose -1 = -4*i + 19. What is the units digit of t(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 33 + 11 - -14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2. Let r be d(-3). Let j = 0.47 + -0.07. Put j, 0.2, r in descending order.\nAnswer: r, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 222200?\nAnswer: 222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 10\/(-30)*3*-16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 + 73*p**2 + 18*p - 7. Calculate b(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-176)\/220 - 77418\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1773*q + 8872. Determine h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*d + 5*u, -3*d + 36 = d - 5*u. Let f(v) = -v**3 + 8*v**2 - 4*v - 11. Calculate the remainder when f(6) is divided by ((-8)\/18)\/2 - (-74)\/d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1, 0.3, 64?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-10)*8\/(-60)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43379 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3 + l - 3. Let v be b(1). Suppose f = -4*o + 29, 3*o + v - 19 = -2*f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98526?\nAnswer: 2, 3, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*a = 3*r + 20, -4*r - 62 = -2*a. Let t be (r\/10)\/((-6)\/15). Suppose 2*d - 2*x + 164 = t*d, -5*x = d - 94. What are the prime factors of d?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-21)\/9)\/((-4)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*p + 10*m**3 + 3*m**2*p - m*p + 2*m + 16 wrt m?\nAnswer: -6*m*p + 60*m + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**4*i + 5461*b**3*i - 10*i + 9833 wrt b?\nAnswer: 24*b**3*i + 16383*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-6)*-3*26\/(364\/189). Which is greater: j or 74?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285 + 302. Let h = 91 + -26. Calculate the remainder when h is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -504 times 27304\nAnswer: -13761216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 - -198. Suppose -3*x = -2*x - y + 157, -4*x - 630 = -5*y. Is t\/(-24) + x\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/((-944)\/474 + 2). Let u = 197 - t. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(5*(sqrt(612) + -2)*2)**2.\nAnswer: -123203 + 4800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 0, -2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81.82542 seconds?\nAnswer: 81825420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(12\/42*-7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2287 + -0.3287. Let h = 61\/88 - 9\/11. Sort n, h, -7 in decreasing order.\nAnswer: n, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 2*r. Let x(w) = 62*w**2 + 4*w + 7 - 7*w - r*w. Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*x + 420. Let i = -19 - x. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4117*d*l**3 + d*l**2 - 31*d*l + 4*d + 4122*l**3 - 206*l**2 + 2*l - 59 wrt l?\nAnswer: -24702*d + 24732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12344859 is divided by 515.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = -c, -2*c = 5*i + 398. Let z be (-1)\/3 + i\/(-18). Let k(u) = 21*u + 5. Is k(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, 158, 355, 562, 779?\n\"Answer: 5*y**2 + 172*y - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -142, -156 in decreasing order.\nAnswer: 1, -142, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.04175 times -34\nAnswer: -1.4195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87630 + -59907. What are the prime factors of h?\nAnswer: 3, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24289 - 24356. Which is the third smallest value? (a) p (b) -0.2 (c) -1\/3 (d) -0.4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 1. Let h(j) = 88*j - 78. Let y(f) = -h(f) - k(f). What is the first derivative of y(o) wrt o?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220544231?\nAnswer: 3319, 66449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*t**5 - 7*t + 123*t**5 + 3*t**4 - 242*t**5 - 1 + 1 - t**5 + (2*t + t - 5*t)*(t - t**4 - t).\nAnswer: 7*t**5 + 3*t**4 - 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285 - 4*v**4 + 286 + 12*v**3 + 49*v - 10*v**3 - 569 + 2*v**2 to d*v + q + b*v**4 + i*v**3 + k*v**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95759 is divided by 240.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 10045214323?\nAnswer: -10045214323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 631638967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1221165 divided by -45\nAnswer: 27137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86557727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609427.\nAnswer: 31, 193, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12524259 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 758?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 - 203. Let w(c) = 2*c**2 + 13*c - 11. List the prime factors of w(g).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00499515 minus -0.05?\nAnswer: 0.04500485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/5 - (-3)\/15. Suppose -40 = -8*i + u*i. Solve 4 = -2*d - 4*a, -2*d = 5*a - i*a + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3649 or -6175?\nAnswer: -3649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 195. Let j = 86 + u. Suppose 5*w = -j*l + 10492, 983 + 7410 = 4*w + 3*l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -45\/7 (b) -2 (c) 0.3 (d) 1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 6*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 358134158 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488877.\nAnswer: 3, 89, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, -3, 0.2 in ascending order.\nAnswer: -3, -0.1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -10*u - 25. Let z = 15 + -8. Calculate the smallest common multiple of u and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = 3*i, 70 = 5*a - 5*i. Let m = -8 + a. Let z = 22 - 16. Calculate the lowest common multiple of z and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.168 - 1.\nAnswer: -3.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 3*x + 4*x)*(-3*x**4 + 3*x**3 - 3*x**3 + x**2 - 2*x**4 - x**2 + (x**4 - 2*x**4 + 2*x**4)*(2 - 2 - 2)).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1944 and 2376?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:55 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43594\/623 or 70?\nAnswer: 43594\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)\/u)\/((u\/(u\/u**7))\/u))\/(u**(-2))**(3\/7) assuming u is positive.\nAnswer: u**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-5 + 2) + 5. What is the tens digit of 6\/q - (-648)\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j - 2*y - 11947 = 0, -j + 2*y + 2391 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9426*-0.1\nAnswer: -0.09426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 8\/4993 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + i - 55 = 0, -t - 4*i - 2 - 3 = 0. Suppose t + 39 = 3*l. Calculate the greatest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4174380 and 68670.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -8*i + 4*i - t, i - t = 20. Suppose 26 = -5*l + 1. What is the units digit of (1\/l)\/((-3)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from ifqkn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 168?\nAnswer: 55\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322439723 is divided by 4316?\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553325446*m**5 - 183925792*m**2 wrt m.\nAnswer: -33199526760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.705 - -8.705. Put r, -4, -7, 3\/5 in decreasing order.\nAnswer: r, 3\/5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) -2\/15 (c) 1.8 (d) 284 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g - 78. Let y = 28 - g. Let p(a) = -a**3 + 3*a + 4. Let w be p(-2). Solve -y = m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(4\/(-184)). Suppose 0 = 28*s - v*s - 15. Solve s*c = 7*c + f - 18, -18 = -3*c - 3*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4014 - 990. Is j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36152*q**3 - 1290661*q wrt q?\nAnswer: 216912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*v - 353*v - 2413 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 - 87. Suppose 0 = h*b - 20*b - 12. Find the second derivative of 39*i - i**b - 21*i - 11*i**5 + i**4 wrt i.\nAnswer: -220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*x = -121*x + 2952 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 334 + -5?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + 0*j)*(17 + 47 - 14) + (-1 + 4 - 2)*(0*j + 3*j - 5*j).\nAnswer: -152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 55, 89?\n\"Answer: 34*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + z - 15, -3*n = -5*z - 24 + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5 = -q, 27*q - 4*u = 30*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 6*j**2 - 6*j + 10. Let m be y(-7). Suppose 8 = -0*u + 4*u + g, 0 = -4*u - m*g. Solve 0 = -u*s + 2*c - 2, 5*s - 3*s - 7 = 3*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -32*z + 24 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/11 and -20\/257.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6466131*a*i + 4*a + 64096165*i wrt a?\nAnswer: -6466131*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8 = -x. Let y(p) = 16*p**x + 72*p + 18 - 89*p - p**3 + 3*p**2. What is the tens digit of y(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 5:11 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, p: 5, q: 1, k: 10}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 19. Suppose -2 = -2*h - 4*q, 5*q + 6 = -19. What is w(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -2) + -8*11. Let y = -2 - r. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/250 and 51\/1600?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 244 + -240. Solve g - 5 = -a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528126647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -212 + 692. Suppose u + 35*n = 37*n + 31, u - 3*n - 30 = 0. What is the remainder when p is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 14*f - 225 = 0. Suppose -p = 2*w + f, -p - 2*p = -5*w - 35. Let c(s) = s + 30. Calculate the least common multiple of 108 and c(w).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1 (c) -5 (d) 0.2 (e) -7\/4 (f) -6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = 3*r - 8*r, -15 = -5*l. Suppose 10 = -r*b + a, 0 = -4*b + 4*a - 0 - 8. What are the prime factors of -1 - (-15 + b - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -1664, -2501, -3342, -4187, -5036, -5889?\nAnswer: -6746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/2)*r**(1\/6)*r*r**(-8)*r**(-3\/10)*((r**(-2\/3))**(-33))**(-5\/7) assuming r is positive.\nAnswer: r**(-4273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 14 + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.248661 rounded to one decimal place?\nAnswer: -206.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6631681 (base 10) in base 15?\nAnswer: -8aee21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*t + 3*t = -175, 5*t = 15. Let x = r - -55. Calculate the least common multiple of 1 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/7))\/p*p*p)**(-30\/11)\/((p**(-2)*p)\/(p*p\/(((p**(-19)*p)\/p)\/p)*p*p*p)))**28 assuming p is positive.\nAnswer: p**(6448\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:35 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4086 and 45892590.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -567494 and 6136.\nAnswer: -561358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 11*f - 12. Let w = 13 + -3. Let q be t(w). Let x(l) = -3*l**3 - 3*l**2. Let v be x(q). Solve 0 = -u + 5*u - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15648 = 3*s + 348. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-208) + 2812\/(-26). Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.047379 nanometers to centimeters.\nAnswer: 0.0000001047379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44666*t + 54690 wrt t.\nAnswer: -44666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6204.563l to millilitres.\nAnswer: 6204563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.2 (b) -0.04 (c) -4 (d) 3 (e) 8 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.36. Let k(h) = 4*h**2 + 2*h - 3. Let o be k(1). Let d be (15\/o)\/((-1)\/1). What is the nearest to g in 4, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*11\/(-77)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 63*s - 132. Suppose 0 = -10*o - s*o + 14994. What are the prime factors of o?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6957643?\nAnswer: 7, 11, 90359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - 6*t**2 - 2 - t - t + 5*t**2 + 1 to the form d*t**2 + l*t + x*t**3 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q - 9*q**2 + 5*q - 12*q**3 + 7*q**3 - 22 + 4*q**3. What is the units digit of l(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z + 19. What is w(-14)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/3, -2, -0.05, 1\/6 in decreasing order.\nAnswer: 5, 1\/6, -0.05, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 4*j + 15661. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.4 rounded to 0 decimal places?\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-10))\/((-5)\/10). Let f = -0.5 - 0.5. Let r = f + 0.6. Which is the smallest value? (a) -0.3 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*l**5 - 2987*l**4 + 5451*l + 235.\nAnswer: 4480*l**3 - 35844*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 6*k**2 - k - 3. Suppose -3 = -3*f + 3, 0 = 3*i + 5*f - 16. Suppose v + 0*s + 18 = 4*s, i*v + 27 = 5*s. Give t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342322873 is divided by 823.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 15*c**2\/2 + 16*c - 12. Differentiate l(v) with respect to v.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/94 and -127\/38738340.\nAnswer: 38738340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*2.6\nAnswer: -0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16.04 (b) -166 (c) 4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1005\/4024 - 63\/503. What is the third biggest value in t, 0.4, -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562 greater than -2754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 3, w: 1, a: 3}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 9*x**2 + 10*x + 4. Let c be f(10). Solve 3*l + 3 = c*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1324 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3336338 nanoseconds?\nAnswer: 0.0003336338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 597 divided by -743\nAnswer: -597\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -611, 3 in increasing order.\nAnswer: -611, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*f**2*q**2 + 44*f**2*q wrt q?\nAnswer: 410*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-15) - (-140)\/(-175). Solve -z + 3*h + r = 0, -5*z - 4*h - 62 = -58 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2*q**2 - 5*q**2)*(0*q**2 - 4*q**2 + 2*q**2) + (q**2 - 4*q**2 + 5*q**2)*(37 - 33*q**2 - 37).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from szszsiisi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2571267 divided by 155.\nAnswer: 2571267\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2079\/5927?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(171)*-3 + sqrt(171).\nAnswer: -6*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6150)\/(-1722)*(-4)\/(-10)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4\/6 + 4253*k**3\/2 + 31886*k**2\/3 + 4250*k - 51016\/3 = 0.\nAnswer: -12754, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**2 - 3100*d + 12480 = 0.\nAnswer: -624, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**9\/126 + 3*i**5\/20 - 8*i**2. What is the third derivative of c(q) wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0 - 6*w**2 + 1\/12*w**5 - 1\/3*w**3 - 5\/24*w**4 + 0*w + 1\/120*w**6. Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let r(q) = -5*q - 1. Determine b(r(c)).\nAnswer: -15*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.102 and 151.\nAnswer: 151.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 - -298. Let b be (-4)\/(-14) + (-512)\/28. Let t be (-9)\/b*(60 - 0). Which is greater: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 25, 39, 59, 85, 117?\n\"Answer: 3*y**2 - y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kno when three letters picked without replacement from {t: 8, n: 1, o: 4, k: 5}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {g: 5, k: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l. Let b(q) = -13*q**3 - 10*q + 1. Give 2*b(r) + 18*m(r).\nAnswer: -8*r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*x = -64, 5*h - 4*x - 262 = -57. Suppose 8*u - h = -2*d + 3*u, -5*d - 4*u + 50 = 0. Calculate the highest common factor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -0.5 (b) 17 (c) 0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m**2 + m)*((6 + 1 - 2)*(-2 + 0 + 4) + 1 + 3 - 3)*(-3 + 3 + 1).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 3*i**2 + i + 2. Let z be x(-3). Let o be 2\/(-6)*(6 - 3). What are the prime factors of -4*(5\/o - z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**4 - 48*g**3 - 212*g**2 - 408*g - 288 = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 2 + 2 + (-27017 - -27025)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-225)\/(-36))\/(23\/(-24) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86116140 by -231495.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16532 and 190.2917?\nAnswer: 16341.7083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2 + 2. Let h = x - 1. List the prime factors of (h\/5)\/(1\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 3. Let y(w) = -5*w**2. Calculate p(y(l)).\nAnswer: -35*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2289*c**2 + 17 + 14*c - 8 - 2303*c**2. Let n(k) = 5*k**2 - 5*k - 3. Suppose -i - 4 = i, 0 = -v - 2*i - 8. Calculate v*b(x) - 11*n(x).\nAnswer: x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q. Let m(y) = 3*y**2 - y. Let z(l) = 16*l**2 - 9*l. Let j(w) = 11*m(w) - 2*z(w). What is s(j(t))?\nAnswer: 3*t**2 + 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose 0 = -b*r - 0*v + 2*v + 29, -v + 26 = 3*r. Suppose -9*w + r = 36. Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 23*o + 3. What is the remainder when k(-6) is divided by ((-228)\/(-9))\/19*42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d*h**3*j**2 + 2832*d*h**2*j**2 - 2*d*h**2*j + d*h**2 - 13*d*h - 15635860*h**3*j - 2*h**2*j**2 - 12*h - j wrt h.\nAnswer: 42*d*j**2 - 93815160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*20\/(-84)*(-19)\/((-1900)\/60).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*l - 160 = l, 0 = -3*z + 4*l + 134. What is the least common multiple of 42 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7\/12 (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 - -10 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7016 or -7015?\nAnswer: -7016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 114 - 58. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308678 * -0.803\nAnswer: 247868.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469868672 to the nearest integer?\nAnswer: 21676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 362513 a multiple of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 6*i - 9. Let n(l) = -l**2 + 11*l + 19. Let u be n(12). What is a(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 6, p: 4, u: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0269 + 133704\nAnswer: 133703.9731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhgjsjjzgzzzz. What is prob of picking 1 g, 2 j, and 1 h?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 19416 = 10734 + 9584 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*o*t**3 - 19*o*x - 3*t**3*x - t**3 wrt o?\nAnswer: 6*t**3 - 19*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-95868)\/(-72) - (2 + -10)) + (-21)\/(-6). What is the highest common factor of i and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*l + 230*l**2 + 177*l**3 + 0 + 9\/2*l**4.\nAnswer: l*(l + 38)*(3*l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/5)*x)\/x**(1\/4) assuming x is positive.\nAnswer: x**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 155 = 25. Factor -5*k**3 - b*k**2 - 40*k**2 - 30 + 12*k**2 - 65*k.\nAnswer: -5*(k + 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*u)*(-u - u + 6*u) - u**2 - 3 + 3 + (-2*u + 1 - 1)*(-u + 2*u + 0*u) in the form s*u**2 + q + l*u and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 9 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -111*1*(-10)\/15?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 30 (c) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 14\/140 - (-15429)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3459\/115093?\nAnswer: -3459\/115093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from {m: 2, k: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 + 6*n - 1. Let g be f(2). Factor 4*o**5 - 45 + 15*o**3 + o - 7*o**2 - 13*o**4 + 30 + g.\nAnswer: o*(o - 1)**3*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12401123 + -13?\nAnswer: 12401110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*l**2 + 7 - 48*l**2 - 12 + 18*l**2.\nAnswer: -159*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n + 6. Let a be b(6). Suppose 3*u + 1 = j, 14 = 2*j - a*u - 2*u. Solve 0 = l - m - j, -5*l - 2*m + 4 = -11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.892 + 0.108. Let q = 26414.538 - 26392.538001. Let s = d - q. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.6 - -15. Which is the nearest to -2\/3? (a) -4 (b) t (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3, 1, 15014, -4, 2 in increasing order.\nAnswer: -4, 0, 1, 2, 3, 4, 15014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 603 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2115 and -3.\nAnswer: 6345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12807, 13082, 13361, 13644?\n\"Answer: 2*n**2 + 269*n + 12536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.2 (b) -15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 180 - 180)*(-2*m**3 + 18*m**3 + 39*m**3) + (4*m + 2*m - 4*m)*(m**4 - m**4 - m**4).\nAnswer: 218*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let d(i) = -i**2 + 7*i + 4. Let m(f) = d(f) + 2*q(f). Let g(l) = 3*l + 2. What is the least common multiple of g(6) and m(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 63 + 2. Suppose -w - t + 26 = 0. Let m be 6\/(-15) + (-457)\/(-5). Calculate the highest common divisor of m and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7541 is divided by 93.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 33*a - 4. Give v(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -224 (c) -2092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 406222?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 2 = -2*x + 18 + 110, -x = 4*l + l + 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.1 (c) -139 (d) -6547\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**7\/2520 - n**4\/3 - 11*n. Let i(x) be the third derivative of o(x). Let k(z) = -35*z. Determine k(i(r)).\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 505*i + 3032. Let z be o(-6). Factor 2\/9*r**3 - 4\/9*r**z + 0*r + 0 + 2\/9*r**4.\nAnswer: 2*r**2*(r - 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.97622 centimeters in millimeters?\nAnswer: 679.7622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110101000 (base 2) to base 10\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24689590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 1414 + 1414.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2198 - -2212. What is the nearest to -2 in o, -0.3, -1\/9, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -1) + 1438\/(-3)*1152\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 45*t**5\/8 + 8223*t**4\/4 - 75321*t**3\/8 + 29493*t**2\/4 + 14421*t\/2 - 1665 = 0.\nAnswer: -370, -2\/3, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 3*g - 1. Let b(c) = 2*c**2 - 7*c + 2. Give 4*b(j) + 10*q(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355521.\nAnswer: 101, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00252058576 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -7\/4, -0.14, -0.3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*q - 3*q - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from ghhcxxggxxxh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 - 10*o - 3. Let a be l(-7). Suppose -5*u = -17 - a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 20*z**4 + 55*z**3 - 15*z**2 = 0.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w**1)**(4\/17))**(-2\/3) assuming w is positive.\nAnswer: w**(-40\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -159.3. Suppose -4*g + 4 = -2*g. Let w = -0.16 - 0.04. Which is the closest to w? (a) g (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 + 4. Suppose 5*w - 4*c + 13 + 1 = 0, 5*c = -3*w - 1. Let n be (-6)\/(-4) - (-3)\/w. Let q be u(n). Solve -q*a - 10 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26042761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344206914.\nAnswer: 2, 9011, 74587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -173*j - 17. Let p(t) = -172*t - 16. Let f(d) = -3*h(d) + 2*p(d). What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-34 - -11) + -16 + 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 63. Let w be 3 - o\/(-16) - (-1861)\/(-4). Which is bigger: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(8\/11)*z))\/z*z*z)\/z**(-36)*(((z\/z**14)\/z)\/z)\/z**(-3\/11) assuming z is positive.\nAnswer: z**(237\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 481.15.\nAnswer: 476.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - 5 - (-25)\/4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583538 and 36149173.\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 - 27410224*f - 1033065522128992.\nAnswer: -2*(f + 75378116)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7111532, -14223084, -21334636, -28446188, -35557740, -42669292?\nAnswer: -49780844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a day in hours?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 22*c - 26*c + 5310004 = 0, -5*p - 4*c - 26549996 = 0. What is p rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 33 - 34*c)*(1 - 3*c - 1) - c**2 - 2*c**2 + 2*c + 5*c**2.\nAnswer: 104*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2 - 3 - 5 + 11 + 6 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 122, 93, 54, -1, -78, -183, -322, -501?\n\"Answer: -s**3 + s**2 - 25*s + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*o + 100, 4*f = -f + 20. Suppose -o*g + 16*g = -25. Let p(j) = j**3 - 4*j**2 - 6*j + 7. Calculate p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49987 + -49947. What is the remainder when ((-3)\/(-1))\/(1\/49) is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/4 - 5*u**4\/4 - 49969*u**3\/4 - 1183771*u**2\/4 - 283452*u = 0.\nAnswer: -208, -23, -1, 0, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/2 (b) 1575 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -9*x - 50 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18885, 18870, 18845, 18810?\nAnswer: 18765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let g(q) = -24*q. Let b(c) = -72*f(c) - g(c). Let u(i) be the second derivative of i**4\/6 - 2507*i. Determine b(u(o)).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, 7, 18, 13, -14?\n\"Answer: -y**3 + y**2 + 25*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0 + 0*j**5 + 0*j**4 + 1\/10*j**6 + j + 0*j**2 + 7\/6*j**3. What is the second derivative of p(z) wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let s be m(-6). Suppose s*q - 12 = 3*q. Find the second derivative of 14*w**5 - w - q*w + 16*w wrt w.\nAnswer: 280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43296655*d**3 + 3*d**2 - 2402443*d - 11?\nAnswer: -259779930*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 - 6*k**2 - 9. Let b(f) = f**3 + 0*f**3 + 1 + 0*f**2 + f**2. Let m(a) = -2*a + 21. Let i be m(11). What is i*v(u) - 6*b(u)?\nAnswer: -2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 1. Let x be w(-1). Let n = -433 + 441. Solve -n*u + x*u = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2713, -4345, -8773, -17395, -31609, -52813, -82405, -121783?\n\"Answer: -233*c**3 - c - 2479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -447865635*k**4 + 75*k**2 - 47990*k.\nAnswer: -10748775240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36828*j**3 + 8*j**2 + 2*j - 12682195.\nAnswer: 110484*j**2 + 16*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16648543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 984277.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ff1 (base 16) to base 4.\nAnswer: -20333301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-4 + 8*x - 4 + 10).\nAnswer: 24*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15*k**2 - 3*k - 183. Let m(t) = t**2 + 2*t - 2. Calculate m(c) + r(c).\nAnswer: -14*c**2 - c - 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - ((2 - 19 - -27) + -13).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 2080*z**2 + 0*z + 0*z.\nAnswer: -2*z**3 + 2080*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/11))**(5\/11))**(-5\/6))**(-1\/26) assuming v is positive.\nAnswer: v**(-25\/9438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 1358 = 11*c. Suppose 277 = -2*i + c. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.14 - -2.14. Which is the nearest to -2\/15? (a) -3 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/9))**26 assuming w is positive.\nAnswer: w**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 4, k: 1, o: 8, b: 2}. Give prob of picking 1 z and 1 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b - 15. Let o(v) be the first derivative of -3*v**4\/4 - 5*v**3\/3 + 40. Let g be o(b). What is the highest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8940b (base 12) in base 8?\nAnswer: -543413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 - w**2 + w - 1. Let y be 2\/(-13) + (-93)\/(-13). Let f(n) = -n**3 + 7*n**2 + n - 6. Let t be f(y). Suppose -t = 2*j - 3. Determine o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -18 - 22. Let c be 2*1 - (9 + z + -68317). Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -237375, -237376, -237377?\n\"Answer: -m - 237374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reee. Give prob of sequence ree.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 9*a. Suppose s + 2 = y, 2*y + 4 = -3*s + 7*s. Let r be w(y). What is the tens digit of (r\/8)\/((-12)\/320)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4332 and 42?\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.033, 3, -0.4 in descending order.\nAnswer: 3, 1\/2, 0.033, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 431 + -209. What is the common denominator of (d\/45)\/((-4)\/9) and (69\/(-4)*2)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12314 + 12331. Sort -4, 7, a, 0.\nAnswer: -4, 0, 7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 10*c**2 - 16*c + 1. Let b be h(8). Let r(f) = -f**2 - 2*f + 1. Let t be r(b). Let y(a) = 3*a**2 + a - 1. Give y(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3\/2*y**2 - 2*y + 3 + 1\/4*y**4 + 4\/3*y**3. Suppose -5*c = -3*c - g + 10, 5*g - 5 = -5*c. Determine z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334909*m**2*o + 48*m**2*w - m*o*w + 1365*m*o - 13*m + w - 5 wrt m?\nAnswer: -669818*o + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -716, -1106, -1756, -2666, -3836, -5266?\nAnswer: -6956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 11) to base 14.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 215. Calculate the smallest common multiple of v and 121.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-9) - 2\/3. Suppose -i*k + 15 = -3*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 3*v**2 + 9*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 84 = -l - 4*l, 3*d = -9. Let w be 8 - l\/2*4\/(-12). Let f(n) = -n**2 + 6*n - 5. Give f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Suppose 10*f + 3*f = -26. Let j be (-10)\/(-50) + 2\/(-10) - f. Solve 8 - i = j*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:42 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -37. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.989 - -0.889. Let x = -1 + 4. Let g = x - 1. What is the closest to w in -0.4, -1\/2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -242843, -485684, -728525, -971366?\n\"Answer: -242841*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = h + 3*z, 5*h + 4*z = h + 1252. List the prime factors of h.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*f - 2434*f + 1244*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4)*(-1)\/3)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t - 12*t)*(-2*t**2 + 2*t**2 - 3*t**2) + (1 - 1 + 2*t)*(-2*t**2 - t**2 + 4*t**2) + 0*t**3 - 4*t**3 + 5*t**3 + 9*t**3 - 6*t**2 + 6*t**2.\nAnswer: 63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 81*l**4\/2 - 25449597*l**3\/2 + 172484021*l**2 + 78544722*l + 8797012 = 0.\nAnswer: -2\/9, 14, 314179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 5:44 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let t(p) be the first derivative of -p**5\/15 - 4*p**3\/3 - 14. Let n(d) be the third derivative of t(d). Give 4*j(s) + n(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 5) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 divided by -90693?\nAnswer: 53\/30231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278 - 264. Let y be (-7)\/x + (-3266)\/(-4). What is the greatest common divisor of 48 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3807 + -514.39822.\nAnswer: -4321.39822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Let g be (26 + 1)\/(21\/14). What is the units digit of 2\/l + g\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.520387ng in milligrams?\nAnswer: 0.000002520387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2. Let a(w) = w + 1. Let n(c) = 2. Let r(k) = 2*a(k) - n(k). What is o(r(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -283?\nAnswer: 8\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -6.26?\nAnswer: 6.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291767500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 2*x, -5 - 10 = -4*x + j. Suppose -446 = 2*u - 4*u. Suppose x*q - 187 = u. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/2 + 8543*n**4\/2 - 76975*n**3\/2 - 59807*n**2\/2 + 243759*n + 230904 = 0.\nAnswer: -8552, -2, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*p = -172*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.45 - 7.7. Let k = -1.75 + y. Let b = 10.3 - -1.7. What is the biggest value in 0.2, b, k, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 24*j = -1802 - 5102. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -10, 32.\nAnswer: -10, -1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 26450.\nAnswer: 290950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/52 and -5\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 954760 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 53\/13 + 23\/(-299). Solve 4*z - 8\/3 + 2\/3*z**2 - 7\/3*z**3 + 1\/3*z**5 + 0*z**b = 0 for z.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddfdfd. Give prob of sequence ff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*y - 296 = 137*y + 720 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 48 = 5*v, -2*l - 3*l = -3*v - 120. List the prime factors of 730 + -1 + 22\/(176\/l).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/2654 (b) -1\/5 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = 7*u - 116. Suppose p - u*j = 12, 0 = -j - 2*j - 15. Which is the third biggest value? (a) p (b) 2 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:28 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*f**3 - 136*f**3 + 31*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(123\/(-1722)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2977550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 36 = 0. What is the least common multiple of 18 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let w(z) = 71*z**2. What is w(a(s))?\nAnswer: 71*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*d**4 - 2*d**3 + 1336*d**2 - 22428077*d.\nAnswer: 1308*d**2 - 12*d + 2672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 2. Let q = t + -13.1. Let u = 5.1 + -5. Which is the third smallest value? (a) u (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + y - 2. Let s be x(2). Suppose 3 + 2 = b. Suppose -b*r = -0*r - d - s, 4*r = -d + 6. Solve r*f + 2*f - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10391909 by -167.\nAnswer: -62227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in 3, -0.1, -0.5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let l be -7*(-2370)\/490 + -20 - 13. Factor -2\/7 + 2\/7*n**f + l*n - 6\/7*n**3.\nAnswer: -2*(n - 1)*(n + 1)*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11729 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (18 - (1 - 4)). Suppose -2*c = 2*c - r. Let m = 15 + c. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 2*d - 1, -5*d + 5*o = -20. Let f be d*((-6)\/(-14) + -1). Let y = -0.35762 - -0.15762. Which is the smallest value? (a) y (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*x = 60, 97 - 97 = -110*x + 107*x for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 130, 291*p - 93 = -5*b + 294*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 8 - 4*r + 3*r + 2*r.\nAnswer: r + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 69?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5376 - 4499. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - ((13 - (-6 - -10)) + -21)) + 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32171501*c**4 - 1509*c - 15606?\nAnswer: 386058012*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 695*z**2 + 782*z.\nAnswer: 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 22971?\nAnswer: 91884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 7:50 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v - v**2 - 2*v**4 + 7*v + (1 + v - 1)*(29 - 29 - 4*v**3).\nAnswer: -6*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*53\/477*((-12)\/284)\/(-3).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslsdwwdslss. Give prob of sequence wddl.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419419216?\nAnswer: 2, 79, 331819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446973.755 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8261*h**2*i**3 - 13906*h**2*i + 3*h*i**3 - 2*h*i**2 - 6*h - i**3 + 4*i**2 + 1576 wrt h?\nAnswer: 16522*i**3 - 27812*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**3 - z**3 - 2*z**3 + (z**2 - 2*z**2 - 2*z**2)*(0 + 0 - z) to p + x*z + d*z**2 + o*z**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3081 - -3081.2. Which is the nearest to 0? (a) -22 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 9 - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = y - 3*l, 3*y - 440 = 93*l + 20*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.15 + -0.15. Let f = 4.2 - s. Let u = 2.8 + f. What is the closest to -0.3 in -4\/5, u, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 54. Suppose -4*z - c = -2*x, 0*x + 5*x + 4*z - 73 = 0. Let s(m) = -3*m + 1. Calculate the remainder when s(-8) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -66\/691 (b) 1.1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4016733 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-60))\/(4\/(-6)). Does 14 divide (0 + y)\/(6 - 2420\/404)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 1156 = 1103 - 1965 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 12*a**2 + 12*a + 14. Let s be p(-11). Suppose -s*d + 2*w = -144, -2*d - 4*w + 25 + 55 = 0. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 19*y + 2*m + 265, 0 = y + 4*m + 271. Let u = -229 - y. What is the highest common factor of u and 960?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.64665 + 19.\nAnswer: 19.64665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/9, -0.4, 9\/2, 0.0986, -5?\nAnswer: 0.0986","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 12*r - 37. What is the nearest to 1 in -5, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.533 + -6.6. Let w = y + 0.06791. What is w rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 657 - 568. What is the remainder when g is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/5 + 36*u**4\/5 - 1481*u**3\/5 + 7896*u**2\/5 - 13892*u\/5 + 1488 = 0.\nAnswer: -62, 1, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 + 298 = 87*p - 103 - 142 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by -8.\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f**3 + 5*f + 5. Let m(s) = -32*s**3 + 14*s + 14. Suppose -8*q + 28 = -6*q. Determine q*n(j) - 5*m(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 997550, 997548, 997546?\nAnswer: 997544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20586.\nAnswer: 2, 3, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1226820 and 93\/81788.\nAnswer: 1226820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4494*a - 5057. Let w(d) = -11236*d + 12643. Let r(y) = 12*q(y) + 5*w(y). Find the first derivative of r(l) wrt l.\nAnswer: -2252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 2*t + 1. Let m(k) = 15*k**2 - 32*k - 8. What is m(f) + 6*x(f)?\nAnswer: -3*f**2 - 20*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 425444790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/7)\/t)\/(t**(4\/5)*t)*t**(2\/15)*t*t**(-4))**29 assuming t is positive.\nAnswer: t**(-2755\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:51 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 16, 72779?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/20*8\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28294707.\nAnswer: 3, 7, 71, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 - 270*n**2 - 1804*n - 1536 = 0. Calculate n.\nAnswer: -128, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*h + 50, 5*p + 50 = -0*p - 2*h. Let x be p\/15*(-351)\/2. Suppose 5*l - x = 83. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 1.11.\nAnswer: -6.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1052\/8*(-56)\/(-14). Let l = 1388 - h. Calculate the least common multiple of l and 3.\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 2, q: 3, t: 4}. What is prob of sequence ptq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 68\/7*p**4 - 52\/7*p**2 + 8\/7*p + 96\/7*p**3 + 16\/7*p**5 = 0. What is p?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17810 (b) -0.1 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -7 + 9 - ((-4 - 261) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15688, -15676, -15664, -15652?\nAnswer: -15640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/11 - 860*n\/11 - 3088 = 0. Calculate n.\nAnswer: -386, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053414776 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -2, 2, -5.\nAnswer: -24, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (0 + 19)) + -22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/207*(-3)\/(-2)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-22 - -27)) + 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k**2 + 41*k + 21. Let h(n) = -12*n**2 - 37*n - 20. Calculate 12*h(w) + 11*z(w).\nAnswer: -12*w**2 + 7*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2065071?\nAnswer: -1\/2065071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Suppose 3*d = -x*z - 224072, 4*d + 289337 = 5*z - 9395. Let m = d - -834688. What is m rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32012 + -313000?\nAnswer: -1011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {y: 6, p: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.0672 and -4138.\nAnswer: -4141.0672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0, -20\/2661, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -126 + 18. Suppose l - 120 = -9*l. Let z = 26 - l. Calculate the remainder when o is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6533073 tonnes to grams.\nAnswer: 653307.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38522 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - a)*((3 - 8 + 1)*(5 - 5 + 1) - 2 + 4 + 0 + 4 + 3 - 5 + (4 - 2 - 1)*(-1 + 0 - 1) + 1 - 1 + 2 + 2 - 3 + 3) as x + w*a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/38)\/(c**(2\/31)\/c))**(-5\/14))**(1\/5) assuming c is positive.\nAnswer: c**(-153\/2356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-5) + (-2968)\/280)*6\/(-15). Suppose -2*z = -5*z + 30. Let j = z - 7. Solve q - m*v = v + 20, -j*q = -v - 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 4, f: 1}. Give prob of sequence ooof.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/120 - y**5\/20 - 3*y**4\/8 + 2*y**3 - 14*y**2. Let f be a(5). Factor -2*v**4 - 9*v - 7*v**2 + f*v - 5*v**2 + 8*v**3 - 2.\nAnswer: -2*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145040933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 6*w - w - 3*w + w + 0*w - 2*w + 4*w + 0*w + (-2*w + 0*w + 3*w)*(-4 - 1 + 4) + (290*w - 253*w + 527*w)*(4 - 2 - 1).\nAnswer: 565*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 3*n - 4*n)*(-3*n + 3*n - 2*n) - 5*n**2 + n**2 + 3*n**2 in the form i + m*n**2 + k*n and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-696)\/(-32016))\/((-2)\/(-2852))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 61101945?\nAnswer: 488815560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.647221019 rounded to 3 decimal places?\nAnswer: 0.647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 934 + -934.1. Which is the closest to 1\/7? (a) 0 (b) j (c) 0.5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 + 292712*f**4 + 3*f**2 + 6789550*f.\nAnswer: 20*f**3 + 3512544*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7891*b**4 + 53334*b**2 wrt b?\nAnswer: -189384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3206.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66 and 0.15943789977.\nAnswer: 66.15943789977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302 by 9.\nAnswer: -302\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 5*o - 13. Let d be b(5). Suppose d*s + 51 = 15*s. Suppose -w + 4*i + s = 0, -4*i + 0*i - 27 = -3*w. Solve -n = -w*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2. Let a(v) = -4*v**2 + 0*v**2 + 9*v**2. Determine a(t(q)).\nAnswer: 125*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/5)*p*(p\/p**(-13\/4))\/p*p)\/(p**(-20)*p**14))**13 assuming p is positive.\nAnswer: p**(3341\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -338*f**2 + 10179*f - 1163. What is t(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*r = -r. Sort 3, r, 4, -1 in ascending order.\nAnswer: -1, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254706103.39874016 - 254706042. Let k = o + -60.99874. Let q = k + -0.4. Round q to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 1\/93 (c) 14 (d) 0.4 (e) 5 (f) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/69 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b - 12 = 0. Suppose -3*s - 50 = -5*h - 20, 5*h + 5*s - 30 = 0. Suppose 2*n - 2*j + h = n, 4*j = 5*n. Put n, 0, b in increasing order.\nAnswer: b, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100656 = -429*x - 126825 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-9))\/(2\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 10. Let r be y\/(-10)*8\/(-26). Suppose -2*k = 2*k + 16. Which is the biggest value? (a) k (b) r (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19776 - -62915. Let k = 2847227\/66 - q. Find the common denominator of k and -83\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiisbcioiisibisic. What is prob of sequence csc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**3 + 15*d**2 - 9*d - 76. Give w(-6).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millimeter in micrometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let f = -3 + n. Let c = 1 + 0. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-306)\/36 + (-6)\/4. Let s = 2 + -8. Let k = s - t. Solve -k*r = -2*z + 1 - 5, z = -4*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + z - 1. Let j = 125 - 13. Suppose 2*g + j = 118. Let d(o) = -o**3 + o**2 + o - 3. Determine g*r(c) - d(c).\nAnswer: -2*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397091276?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by 113.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -20340757 at most -20340756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 12\/13 (b) -1\/4 (c) 1.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -21, -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*c - 12, -2*b + 11 = 5*c - 17. Solve 4*h = -3*x + 3, 0 = h - 5*h + b*x + 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 + 91\/(-84).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -145 + 6 - (-22 + (-7 - -4) + 20)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*d + 21 = 3*d, -3*b - 7 = 5*d. Let u(j) = -j**2 + 10*j - 16. What is the smallest common multiple of u(7) and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhrhjrjhhfjfrjhrjr. What is prob of sequence rr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*k**3 + 3*k**2 + 2 wrt k.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.94. Let w = 0.56 + t. What is the third biggest value in w, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1731, -1767, -1827, -1917, -2043, -2211?\n\"Answer: -s**3 - 6*s**2 - 11*s - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 3*c**2 + 11*c. Calculate k(-5).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 1594735*i**2 - 44*i - 1594735*i**2.\nAnswer: -7*i**3 - 44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-48))\/(13940\/1170 + 40\/130)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/9 - 10*k**3\/9 + 8*k**2\/9 = 0. What is k?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:28 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:51 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2711*y**2 + 5454*y**2 - 2740*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/23)*y\/((y\/((y*y\/y**(-7))\/y))\/y)*((y\/(y**(-5)*y))\/y)\/y**(-1) assuming y is positive.\nAnswer: y**(324\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6453 and 54.\nAnswer: 12906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/48 + 1\/16. Let b = z + 7\/18. What is the biggest value in 0.3, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -24*g + 266. Let o be k(11). Solve -4*w - 7 = -2*w - 5*j, -o*j + 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13779 and 351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*m - 58*m - 594. Let d = 64 - m. Let x = d + 101. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 21110001012000?\nAnswer: -21110001012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i*i*i**(1\/2)*i)*i)\/i)\/i**(-2))**48)**19)**(2\/45) assuming i is positive.\nAnswer: i**(-304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, 55, 64, 75, 88, 103?\n\"Answer: i**2 + 4*i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -65 + 12\/(-4) + 0. Let l = -65 - h. Solve -l*n = -21 + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssv when three letters picked without replacement from ssv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -47.1. Suppose 0 = 5*o + y - 68, 2*o - 4*y = 43 - 7. Let p be -2 - 0 - (-3)\/6*o. What is the second biggest value in p, -5, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12046452 - 4337.54.\nAnswer: -12050789.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/6, -2, 0.0474, -4.3?\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d. Let u(l) = -256*l**2 + 21*l - 26. Let n(r) = 128*r**2 - 12*r + 15. Let y(s) = 7*n(s) + 4*u(s). Determine y(t(q)).\nAnswer: -3200*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/120 + 7*q**5\/60 + 7*q**4\/24 + 17*q**3\/6 - 20*q**2. What is the remainder when 10 is divided by n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 894938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:24 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 5*u + 100, 33*j = 38*j + 10*u + 245 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 4 = 0. Let j(u) = u - 1. Let p(q) = -q**5 + q**4 - 11*q + 11. Let m(z) = b*p(z) + 22*j(z). Factor m(l).\nAnswer: -2*l**4*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1587)\/(-15) + (-3)\/(-15). Let k = 106 - z. Solve k = d + d + m - 5, -3*d + 3*m + 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2231 - 646. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15082862 - 58*t**3 + 15082862.\nAnswer: -58*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oofofooffoo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-8)*78\/91.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.216 and 0.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34511 (base 6) to base 9.\nAnswer: 6687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-25)*(4 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -29410547.7 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 + 56555*l - 6 + 16.\nAnswer: 56555*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**2*s**3 + 5*c**2 + 9076*c*s**3 - 5*c*s**2 + 2*s**2 + 13*s wrt s?\nAnswer: 24*c**2 + 54456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 9. Let c be 8\/((-48)\/18) - (-3 + 2). Let v(w) be the first derivative of w**2\/2 + 2*w - 32. Give c*u(i) + 9*v(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24357643 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380 is divided by 171?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -13 + 4 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**15\/p))\/p*p*p**15 assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -45, -0.2, 138\/229, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 o when three letters picked without replacement from kkkooo.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 21 = -p. Let v = p + 29. Suppose 5*b = -v*j - 0*b + 334, -j - 2*b + 111 = 0. What are the prime factors of j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*x - x + 1025, -x + 505 = n. Does 64 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5295.339 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -5, 249, -2, 6 in decreasing order.\nAnswer: 249, 94, 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o**3*q**3 - 140*o**3*q**2 - 1251*o**3 + 972919*o**2*q**3 - 2*o**2*q**2 + 2*o + q**2 wrt q.\nAnswer: -126*o**3 + 5837514*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7038596.\nAnswer: 2, 1759649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7)\/((-189)\/(-12)))\/((-46)\/12627) is divided by (-2 - -2)\/(-1) - -42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72632.\nAnswer: 2, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 1, z: 3, h: 3, i: 1}. What is prob of sequence niz?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(4\/(-72)). Let b = -7 + u. Suppose 2*a = -b*a + 20. Solve 0 = a*g + 20 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.48041 rounded to one dp?\nAnswer: -441.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 73, 0, 6 in descending order.\nAnswer: 73, 6, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.134204668 and 15.\nAnswer: 13.865795332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:38 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 - 4*m - 3. Let f be x(5). Let t(w) = 5*w - 3*w + 0*w - w + f. Calculate t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 7, 4, 5 in ascending order.\nAnswer: -10, 3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1939*x - 11633. Give i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17875*u**3 - 9*u**2 + 22*u + 52. Let r be p(-9). Round r to the nearest 100000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -661. Suppose 0 = -2*z - 4*l + 272, -3*z + g = 2*l - l. What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let p(w) = 0*w + v*w + 0*w. Let s(t) be the third derivative of -23*t**5\/60 + 1360*t**2. Give s(p(z)).\nAnswer: -207*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00925 and -0.0118.\nAnswer: -0.02105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 6*((sqrt(275) + -2 - sqrt(275)) + -2 + sqrt(275))*4*-1 + 2)*5)**2.\nAnswer: -564000*sqrt(11) + 4180900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**2 + 2175*z + 15244. Determine a(-7).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -89 + (35 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:49 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -87. Suppose -y*h = -19*h - 29. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 57, 103, 163, 243, 349, 487, 663?\n\"Answer: g**3 - 2*g**2 + 37*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14118 and 105690?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3722367 is divided by 186063.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - y = 0, 0 = -3*c - 2*y + 6*y. Factor 0 - 1\/2*j + 1\/2*j**3 + c*j**2.\nAnswer: j*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291170\/17 or 17129?\nAnswer: 17129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1867*q + 1672. Calculate v(2).\nAnswer: -2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 31*p**2 + 368*p + 2964. Determine v(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -63+-17517\nAnswer: -17580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/2 + 696*n - 154269\/2 = 0. What is n?\nAnswer: 183, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 30. Calculate the lowest common multiple of (0\/1)\/1 - -9 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*u + 12 = -0*t, 3*t + 5*u = -20. Let b(r) = -r - 6. Let j be (-70)\/15*(-3)\/(-2). Let c be b(j). Is c greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 28 = -2*k, 2*k = -4*m - 0*k + 36. Suppose 6 = -s + 9. Solve s*l + 25 = m*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = -p, 5*p - 2 = -5*m + 3. Let h = 14.28 - 0.28. What is the third biggest value in -4, h, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 1023*k**2 + 11356*k - 18612.\nAnswer: -(k - 9)*(k - 2)*(k + 1034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 10*r - 17. Let i(x) = -x**3 + 3*x**2 + 13*x - 18. Calculate -3*i(a) + 4*k(a).\nAnswer: 3*a**3 - a**2 + a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-110)\/48620*2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -111.3. Let k = 1 - -3. Let w be k\/(-2) - 2*1. Put w, y, -1\/6 in descending order.\nAnswer: y, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 160061, 320191, 480383, 640637?\n\"Answer: 31*h**2 + 160037*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 35. Solve 0 = 4*m - m + o + 18, r*o + 10 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*z + 40. Is 18 a factor of (z + 29)*(-56)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078953357 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 8 = -3*p - 4*g, g = -2*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/10 + v**3\/3 + 164*v**2. Give z(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t. Suppose -219*j - 54 = -116*j - 121*j. Let r(k) be the first derivative of 4\/3*k**j + 15 + 0*k + 0*k**2. Calculate r(i(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 0, -5*i + 3*i + 14 = 2*y. Let h be (-3 + (-12)\/(-3))*y. Suppose 0 = 2*l - 5 + h. Let m(t) = 5*t - 1. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 11, -1, 10.\nAnswer: -25, -1, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-9) - 8930\/(-11970).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1008\/(-486) - (28\/(-54))\/7. Which is bigger: -71\/36 or x?\nAnswer: -71\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**3 - 4*o**3 + 59*o**2 + 2*o**4 + 6*o**3 + 15*o**3 wrt o.\nAnswer: 48*o + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 22*w + 12*w + 30 = 55*w - 4*n - 35, 86 = -6*w - 4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -392*s + 2472. Determine k(5).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-270)\/21 - (-3)\/(-21). Let f(c) = 7*c. Let k(d) = -3*d. Let b(y) = o*k(y) - 6*f(y). Let p(u) = u. What is b(p(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**2\/2 - y - 4. Let w(a) = 16*a + 12. Let f(o) = 48*d(o) + 4*w(o). Let q(m) = -5*m. Give q(f(n)).\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-39))\/(1\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15125 is divided by 1790?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/247 + 215600\/281200.\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 12. Does 48 divide 575 - (16\/j + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-25)*5*2)\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Suppose 4*w = j + 15, -w = 2*w - 5*j - 7. Let s be 2\/(-3) - 16\/(-6). Let k(h) = w*h - s*h - 3*h. Determine k(b(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -704*i - 3. Let d(v) = 9*v. What is d(a(l))?\nAnswer: -6336*l - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40045.\nAnswer: 5, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 152, 165?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 12*z**4 - 10503*z**3 + 2304741*z**2 - 2867157*z + 572907 = 0.\nAnswer: 1\/4, 1, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(2) + -2)**2*-5 + (-2*sqrt(2)*1 - (-1 + sqrt(288) + sqrt(2))) + 1 + -3.\nAnswer: -55 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(121)\/(-2*sqrt(11)) + sqrt(1584) + 1 + (2*sqrt(121)*3)\/sqrt(11) + -2)**2.\nAnswer: -35*sqrt(11) + 13471\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 4150 and -0.122728.\nAnswer: 4149.877272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + 10*t + 1. Let b(j) = -j**2 + 3*j. Let v be (3 + -1)*1\/2. Let g be (v - -6)\/(1\/1). Give g*b(z) - 2*y(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1474949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 + o. Let u(t) = 568*t**2 + 518*t. Let h(b) = s(b) + u(b). Find the second derivative of h(v) wrt v.\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63288*z**4 + 64727*z wrt z?\nAnswer: 759456*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -113. Let l(v) = 2 + 2*v**3 + 6*v**2 - v**3 + 2*v**2. Give l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 14, 0 in descending order.\nAnswer: 14, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(1*-1 - 35\/(-105)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 3*a - 8 = 0, -t + 5*a = -22. What is the third derivative of -2*v**2 + v**3 - v**2 + v**t wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + -11)) + -37 + 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 7. Let u be (96\/18)\/(4\/6). Let t be b(u). Suppose n + 3*n = 0. Solve n = -4*i - t - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 8*u + 38*u**2 - 15 - 32*u**2. Let s(y) = y**2 - 2*y - 2. Give 6*p(f) - 45*s(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(3\/(-2) + 3). Solve 0 = o + r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*(2 + sqrt(931)) + -5 + -3 + 5)**2 + 5)*-2.\nAnswer: -46908 - 1820*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(275) + -2 - 2*sqrt(110)\/(sqrt(10) + sqrt(360)))**2*-1.\nAnswer: -12175\/49 + 132*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.2502489 to 1 dp.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4649683 - 18.5.\nAnswer: -4649701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i + 9. Let a be j(6). Let o = 94 - 120. Let m = o - a. What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 40*u**3 + 45*u**2 + 540*u - 540.\nAnswer: -5*(u - 3)*(u - 1)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-594)\/(-3564))\/((18\/16)\/3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (9 - 9). Let j = -8 + 4. Let p(u) = u + 1. Let g(y) = -y**2 - 5*y - 4. Give j*p(d) + v*g(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 10416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/17372 + 4341\/34744. Which is the nearest to f? (a) -5 (b) -8 (c) -12 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let p = -590 - -594. Which is the nearest to 0.2? (a) g (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303601424?\nAnswer: 2, 7, 79, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 3, p: 4}. Give prob of picking 2 p and 1 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*q + 88, 98 = -4*m - 0*q + 5*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/4 - 1. Let f(s) = -s - 1. Let p(b) = b**2 + 11*b - 28. Let l(m) = -6*f(m) + p(m). Let u be l(-18). What is the nearest to d in 1\/5, u, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 38*y - 1. Suppose 6*g - 71 = 43. Calculate the remainder when q(3) is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60.375 - 0.025. Let o = x - -65.4. Let m be 22\/(-21) - (-4)\/(-14). Put o, 0.5, m, -3 in increasing order.\nAnswer: -3, m, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -3.4773906.\nAnswer: 0.69547812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/189 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 319650 and 30?\nAnswer: 319650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -42\/5, 66, 0 in ascending order.\nAnswer: -42\/5, 0, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215635923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -100*l + 4. Let i(t) = t. Let g(r) = 5*i(r) + o(r). Is g(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5636464 + -2?\nAnswer: -5636466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.1. Let j = -17 + 16.9. What is the closest to m in -2, -2\/13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 214348130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*((sqrt(143)*-1*5)\/sqrt(11) + sqrt(1573) + (sqrt(1573)*1 - sqrt(1573)) + -5)**2.\nAnswer: -600*sqrt(13) + 4930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5823731 is divided by 1941094.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*d + 2*f, -2*f = f. Let i be 18*((-6)\/4)\/d. Let m(y) = 6*y - 6. Let q be m(4). What is the greatest common divisor of i and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 21 + 14. Let n(b) be the first derivative of b**3\/3 - b - 1. Calculate the remainder when m is divided by n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 636316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19339570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276539 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.33*-44.8\nAnswer: 59.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 3*u**2 - 1\/3*u**4 + 1\/60*u**5 + 8\/3*u**3 + 6*u + 0. Let h(i) be the first derivative of l(i). Factor h(a).\nAnswer: (a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/12 + -3*380\/1264. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32322 (base 6) to base 11\nAnswer: 3379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 8*d**3 - 3*d**3 + (2 - 1 + 2)*(0*d - 2*d**3 + 0*d) + (6*d - 3*d + 0*d)*(7*d + 6*d**2 - 7*d).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -2\/287, 4, 2\/31, 4\/5, 0?\nAnswer: -2\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130200 - 32?\nAnswer: -130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*k - 3, 16 = -0*k - 4*k. Find the third derivative of q**5 + 4*q**h + q**2 + 2*q**2 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 4 + (-4 + 1 + 2)*(3 + 1 - 2) + 0 + 0 - 1)*(3*w - 5*w - w).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -781 + 122. Let y = m - -947. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 448 - 447.8. What is the fourth biggest value in -0.2, n, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1657 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4022 is divided by 116.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**17*f)\/f)*f)**(-21\/2) assuming f is positive.\nAnswer: f**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 0 + 2*x**2 - 4 + 2 - x + x**4 as o + m*x**3 + y*x**2 + t*x + g*x**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289300866.\nAnswer: 2, 3, 17, 31, 91493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.1 + 41.79. Let h = x + 2.31. Is h <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50674 and 42878?\nAnswer: 557414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.683343 decades to centuries.\nAnswer: 0.8683343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*q = 4793273 + 1427807. Is 131 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5236 and -27\/1309.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + -120.3. What is the third smallest value in -5\/2, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 17 = 4. Suppose i + 4 = -w, -26 = -4*w - 10. Let n = r - i. Put 0, -3, n in descending order.\nAnswer: 0, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o + 0 - 96*o**2 - 1\/2*o**3 + 0*o**4 - 1\/60*o**5 - 27\/40*o**6. What is the third derivative of a(i) wrt i?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) -2\/7 (c) 104.20515 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 8*g**2 - 2*g + 119. Let v(h) = h. Give -u(m) + 12*v(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/60 + g**4\/4 - 3*g**2. Give u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 522, 532, 542, 552, 562?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39435\/5258*1*-2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139080903 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*v**2 - 15020*v**3 + 431*v - 431*v.\nAnswer: -15020*v**3 - 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 130*i**4 + 2 + 3 - 129*i**4 - 4*i**5 + (4*i**2 - 2*i**2 + 0*i**2)*(-3 + 3 - 2*i**3).\nAnswer: -8*i**5 + i**4 - 4*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -6 + -215 + 50 + 54?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -62. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -540*z + 6395. Is x(-166) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-3)\/(444\/8)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 580 (b) -2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5551.2080277\nAnswer: -5549.2080277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -68 (b) 15\/392417 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 16*a - 7. Let p be t(1). Let i(q) = -11*q + 1 + 0*q**3 + q**3 + 2*q - 7*q**2. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/8 - 80027*f**2\/8 + 20007*f\/2 = 0. What is f?\nAnswer: -80028, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(19) + 1 + sqrt(19)) - (0 + sqrt(19) + 0)) + 2)**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 9 + 9. Let u(x) = 3*x - 6*x - 2*x - x. Give u(i(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:15 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 2126965*v - 4253910.\nAnswer: -5*(v + 2)*(v + 425391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -136, -338, -632, -1024, -1520?\nAnswer: -2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -22*y + 88. Determine z(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1816 = -97*x + 16851. What is the remainder when x is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 - 1 - 1 + 4781*x)*(5 + 5 - 6 + (1 + 1 - 4)*(-2 + 1 - 1)).\nAnswer: 38248*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 47438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2286 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2, -6 in increasing order.\nAnswer: -6, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z + 351. What is the remainder when 157 is divided by u(-11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4611670*p**3 + 3798899*p**2.\nAnswer: -27670020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22501 - 316?\nAnswer: -23017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 2 + -3 + -8. Let g be (-15)\/12 + 1\/(-4). Let n = -0.05 - 2.95. Which is the nearest to 0.1? (a) x (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (2 + -13) - (-278 + 335)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 1. Let b(q) = -190*q + 40. Let k(x) = -b(x) - 60*o(x). List the prime factors of k(6).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*f - 11, 0 = r + 5*f - 114 + 85 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1876060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20 and 15\/2828?\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00458826566 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 23. Determine i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -666 not equal to -664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.4 plus -0.3?\nAnswer: 246.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -157, 5 in decreasing order.\nAnswer: 5, -1, -11, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4*p**2 + 994*m**3*p**2 - 406*m*p**2 - 2*m - 13 wrt m.\nAnswer: 12*m**2*p**2 + 5964*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 4. Let k(t) = t + 8. Let m be k(-8). Let f be q(m). Solve 4*n - 2 = -2*x + 4*x, -n + f = 3*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - 435\/(-58). Which is smaller: i or 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {o: 4, l: 2, c: 1, s: 1, y: 1, v: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 - 13*d - 17. Suppose 2*w = -2*t - 10, 9*w = t + 14*w + 13. Let i(q) = 17*q**2 - 25*q - 35. Let b(s) = t*i(s) + 7*f(s). Factor b(v).\nAnswer: -2*(v + 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262145691 to the nearest integer?\nAnswer: 16191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3581 (c) 20\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - i = 3, -6336 = p + 3*i - 6317 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8362477540 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132232221100 + 4?\nAnswer: 132232221104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32 + 55*i**3 + 23*i**3 + 5*i**3 - 11*i**3 wrt i?\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 - 348 = 4*w. Suppose 5*g = 4*l - 4 + 126, -5*l = -4*g + w. Let f = l + 30. Solve 0 = f*u - 10 + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 820 = -1288 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 29, 13, -19, -67?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 76, 128, 196, 286, 404, 556, 748?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626801 divided by -4?\nAnswer: -8626801\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62678, -5, -7 in descending order.\nAnswer: -5, -7, -62678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/12 and 22\/51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*g + 50, 5*a + 21*g - 13*g + 12*g = -140 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/42)\/((-24)\/210)*-1410. What is the highest common divisor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 - r**2 + r**2)*(-53*r + 53*r + 28*r**2) to the form y*r + p*r**3 + n*r**4 + m*r**2 + g and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 309.4 - 245. Let i = t + -59.4. What is the biggest value in -58, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**2 + 17*x - 309 - x**3 - 5*x + 305 + 0*x**3 - 11*x. Let h be (-75)\/7 - (-4)\/(-14). Give u(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 52025817 + 52025817 + 3*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*r + 6, 0 = -3*s + 3*r + 156. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1886426 grams?\nAnswer: 0.0000001886426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11 + 2*s - 1 - 11 + 6. Let g be k(11). Suppose -3*j - 5 = -h - h, 2*h + g*j - 13 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 0.3, 25\/4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1715 + -0.04332.\nAnswer: -1715.04332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*r + 1)*(-22 + 7 + 7)*(-1 - 3 - 14).\nAnswer: -432*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-3.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 3*w = -4*i - 88, w + 64 = 3*i. Suppose i*z - 2748 = 272. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssuuuuusuususuususss. What is prob of sequence suus?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10141 (base 12) to base 16.\nAnswer: -51c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 - 1606*j**2 - 1600*j + 3208 = 0?\nAnswer: -802, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1964 and 10802?\nAnswer: 21604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, 14, 99, 268, 551, 978?\n\"Answer: 5*u**3 - 3*u**2 + 5*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(84)*1*3)\/(sqrt(432) - ((-3*sqrt(72))\/sqrt(6) + sqrt(12))).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a + 6. Let w be i(-3). Suppose 3*h = 6*h - w. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1567081 rounded to four dps?\nAnswer: 0.1567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94785 + 515563. Let g be 4\/(-22) - b\/(-11). Suppose g = 3*s - 22514. Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*o - 5222, -4*w - 1675 = -o - 8644. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 128*r**2 - 308*r - 11138. Calculate k(131).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**5*w)\/(w\/w**(1\/4)))\/(w\/w**(1\/5)*(w*w\/(w\/w**6))\/w*w))**(-2\/47) assuming w is positive.\nAnswer: w**(231\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 - 4*k**2 - 2*k. Does 6 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 118 * -0.3.\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) 1 (c) -17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -6. Suppose 29 + 16 = t*i. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(475)*3 + sqrt(475))**2 - sqrt(19)) + (1 + sqrt(76) - sqrt(19)) - (5 + sqrt(2736) + -1*(-1 + sqrt(2736)))**2).\nAnswer: 7563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**3 + 9*p**2 + 9*p + 25. Let w(v) = 3*v**3 - 2*v**2 - 2*v - 6. What is -2*k(f) - 9*w(f)?\nAnswer: -f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, t: 5, x: 2}. What is prob of sequence xe?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -202, -195, -186?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(((-52)\/6)\/13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -20*u**3 - u**2 + 2*u. Let c be j(1). Let a be -9 - (2 - 6) - (c + 2). Solve -3*f = -2*o + 4*o - 11, 4*f - a = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/45*12\/(-8). Let r = 1\/35 - 97\/945. Let a = r - 40\/189. Which is greater: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -230.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 18 = -6*x, -499*x - 12 = -500*x + 2*j for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 11:59 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.2 (c) 2 (d) 0.3 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -158*q**2 + 772*q + 24. What is c(5)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 - 440*w**4 - 10720*w**3 + 75200*w**2 - 157760*w + 107648.\nAnswer: -4*(w - 2)**3*(w + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -1\/3*x**6 + 0*x**5 - x + 0*x**4 - 180 + 152\/3*x**3 + 25*x**2. Find the second derivative of h(p) wrt p.\nAnswer: -40*p**3 + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - s + 3, 3*x + 5 = 7*s - 2*s. Put 1, x, -2, 5 in descending order.\nAnswer: 5, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 5398 + 8*n + 5830 + 655 - n**3.\nAnswer: -n**3 - 3*n + 11883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from ypooypopp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 62*m**2 + 0*m + 8\/105*m**7 + 0*m**5 + 0*m**4 + 0*m**3 + 0 + 0*m**6 - 1\/84*m**8. Factor g(z).\nAnswer: -4*z**4*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(42)\/(1*sqrt(6)))**2 + (sqrt(7)*2)**2*1 + -2*sqrt(343).\nAnswer: -14*sqrt(7) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 2*y, -29*d + 3*y + 2 = -28*d. Solve 0 = 5*u - 8*u - 3*b + 6, -10 = -d*u - 4*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:01 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {b: 7, l: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, 191045, -35?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121.8 + -121.80000006. What is w rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/14 and -95\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:50 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9443 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -178b9 (base 15) in base 8?\nAnswer: -224700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 26*q**2 + q**4 - 32*q**2 + 56*q**2 - 5 to the form p*q**4 + t*q**2 + h*q**3 + y + v*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1563 + 1553. Let v(w) be the first derivative of w**3 + 2*w**2 - 40*w - 3. Does 20 divide v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 981156.\nAnswer: 6868092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*k**2 + 21 - 25*k**3 + 38*k**2 wrt k?\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*i + (-2*i + 0 + 0)*(-61 + 29 + 39).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 35 - p**3)*(-4 + 4 - 10 + (-4 + 0 + 2)*(-2 - 2 + 5)).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 1\/2*k**2 + 3\/20*k**5 + 0 - k + 1\/3*k**3 + 0*k**4. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4020455 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8439 - -8441. Sort -5, -23, t, 9.\nAnswer: -23, -5, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/65*(2 - 0). Let q = -29 + 26. Which is the closest to -3? (a) 2\/5 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 44, 53?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1952 = -14809*k + 14870*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*p = -917*p + 181*p - 1089*p + 20210 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 + 121. Let j = l - -124. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*i + 1397 + 751, -3*m + 1627 = -i. Let l = m - -161. What is the greatest common factor of 54 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563*j - 4359 = 2016*j. Let h(q) = -q - 2. Let k(c) be the second derivative of -c**2 - c. What is j*k(z) + 2*h(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-322)\/21 - -15)\/((-3)\/45). Is 26 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*u + 6073 = 0, 10123 = 16*s - 11*s - 3*u. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from ppppppippi.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(91)\/(sqrt(77)\/(2*sqrt(11))))**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 699, 1571, 2791, 4359, 6275?\nAnswer: 8539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/13)\/o)\/(o\/o**(1\/5)))\/(o\/(o**(-19)*o)*o*o*o*o\/(o\/(o\/o**(9\/2)))) assuming o is positive.\nAnswer: o**(-2629\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*y + 71 + 94, 4*d + 20 = 0. Calculate the remainder when (-3 + -1)*184\/y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(245) + -6*(sqrt(245) + 4) + sqrt(245)))**2.\nAnswer: 5376*sqrt(5) + 17984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301066\/9 - -33452. Which is the fifth smallest value? (a) g (b) -4 (c) 0.1 (d) 8.7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111100000 + -100011011010111?\nAnswer: -110000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 13*o + 727. Calculate the remainder when 191 is divided by z(33).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (-55 - -136)) + 20?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 - 4. Let v = 17 - 17. Suppose 0 = y - 3*y + 6. What is the closest to v in y, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**7\/2520 - u**6\/240 + 11*u**5\/60 - 14*u**2. Let c(q) be the third derivative of i(q). What is c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 23*g**8\/1680 + 5*g**4\/12 + 7*g**3 + 1. Let s(b) be the third derivative of a(b). Differentiate s(l) with respect to l.\nAnswer: 92*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1903, 1911, 1921, 1933?\n\"Answer: r**2 + 5*r + 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**3 + 16*r**2 - 7*r - 10. What is w(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -395 - -636. Let k = 252 - u. Solve d = 4*z - k - 8, 4*d = 5*z - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*y + 160\/3 - 5\/6*y**2 = 0. Calculate y.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/7, -5, 11\/2, 3\/7, -2\/31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2 + 11. Let m be 2\/r - 749\/9. What is the common denominator of -63\/4 and ((-3)\/(-14))\/(-3)*m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -702, -700, -698?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 3*w + 5*w)*(23 - 7 + 7).\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) -4\/7 (b) -1.6 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-23170)\/216. Let j = -323\/3 + h. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 27*p - 142, -168145*i + 168141*i - 2 = -3*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -1)*-12)\/2. Suppose 24 = 3*g - a, -3 + d = -3*a. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:35 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11*m - 9*m + 42 = 0, 0 = -5*m - 15. Solve -11*w + 1 = -y*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000777264 to seven dps.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 9)\/(3 - 103\/34). Let u be (0 - 8\/(-10))*(17 + 23). Is u at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6698885 to the power of 1\/2, to the nearest integer?\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6.65 * 3\nAnswer: -19.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-2 - -3)\/(-1)). Suppose -5*w - 40 = -h*w. Sort 0, -3, w in ascending order.\nAnswer: w, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 + 2. Let n be v(-5). Let i be ((-3)\/n)\/((-18)\/(-2)). What is the third smallest value in 5, -2, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.07 + 2.97. Let r = -18 + 13. Sort r, -3, p in descending order.\nAnswer: p, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5336 and -2.7428152?\nAnswer: 2.2092152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 14*o**2 + 21*o + 14. Let v be g(-15). Let p = 243 + v. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12*a)**(-1\/63) assuming a is positive.\nAnswer: a**(-13\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 19 + l**2 + 8.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Let d be 2\/((-1)\/(x - 0)). Let v be 6\/(-10) + 78\/130. Solve -4*t = d - v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -123. Let q be (-3)\/2*232\/v. Determine u, given that -2*u - 11*u**2 - q*u + 13*u**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 1 - 74 + 6*k - 3 as v + h*k and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d + 8. Let s be 7\/((-2)\/(-2)) - 0. Is i(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 282323 + -3?\nAnswer: 282320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -273. Let m = d - 192. Which is the nearest to m? (a) 3 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98068296.23 to the nearest one hundred thousand.\nAnswer: 98100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*z - 105. Suppose v + 81 = -4*h, -3*h = -0*v + 5*v + 82. Is z != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3*m**3 - 3)*(-157 + 1740 + 7131) to the form r*m**3 + f*m + l*m**2 + p and give r.\nAnswer: -26142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*t**4*z + 4*t**2*z + 40*z + 2 with respect to t.\nAnswer: -204*t**3*z + 8*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 = -2*w + 5*r, -2*w + 9 = 3*r. Suppose 0 = -0*v + 3*v - w. Let q(o) = 3*o - 11. Let k be q(5). Solve k*s = 4, s = -v*g - s + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 <= -662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*x + 9, 0*h + 2*h + 5 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, 29, 15, 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130958, 130955, 130940, 130907, 130850, 130763, 130640?\nAnswer: 130475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (364\/(-315))\/(2\/(-1405)). Let b = v + -810. Factor b*i**4 + 0*i**2 - 4\/3*i**3 + 0 - 2\/3*i**5 + 2\/9*i.\nAnswer: -2*i*(i - 1)**3*(3*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5186, -5481, -5978, -6677, -7578, -8681, -9986?\n\"Answer: -101*h**2 + 8*h - 5093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 17 = -3*v + 3*x, 3*x + 3 = -3*v. Suppose f + 2 = v*f. Let z = 43 - f. What is the remainder when z is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.02 + -6.02. Put -5, -7\/3, -0.3, -2, z in ascending order.\nAnswer: -5, -7\/3, -2, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(486\/4)*6.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Sort 5, 4, t in descending order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206645?\nAnswer: 5, 37, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*f**3*l - 7*c*f*l**3 + 8030*c*l + 3348*f**3*l**2 - 2*f**3 + 26*f**2 - 8*l**3 wrt l.\nAnswer: -42*c*f*l + 6696*f**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 28 = -8. Suppose -4*m + 35 = -u*m. Let j = m - -56. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-105)*117 + 1 + 0\/(-7)?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + 4 + 2 + (0 + sqrt(245))*6)**2 + 3).\nAnswer: -35296 - 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*k = 405, 360 = 3*x + x - 4*k. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(112) + -4)**2.\nAnswer: -56*sqrt(7) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - 16\/10. Let z(a) = -6. Let r(j) = -j + 24. Let o(n) = u*r(n) - 9*z(n). Let i be ((-4)\/5)\/(3\/15). Give o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 177, -2\/109, 0, 2?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39458272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -4.04. Let b = 0.5 - 5. Let m = b + w. What is the second biggest value in m, -4\/5, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c - 17 = -3*d, -c = 1. Let f be (-3)\/5 + (-46)\/(-10). Solve -f + 2 = -m, -m = d*s - 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -272501376 or -1\/2?\nAnswer: -272501376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4\/9 (c) -0.22 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**2 - 6491660*a + 6491665 = 0.\nAnswer: -1298333, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 2*l = -3*m - 3, 0 = -2*m + l + 3 - 5. Let q(d) = 5*d - 3. Let g(r) = r + 1. Let x(t) = c*g(t) + m*q(t). Calculate x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/9 + 2*b**4\/9 + 4*b**3\/3 - 28*b**2\/9 + 22*b\/9 - 2\/3.\nAnswer: -2*(b - 1)**4*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 278052440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 0.97. Let w = 1 - n. What is the closest to -1\/3 in 0.1, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {e: 1, s: 2, v: 1, l: 1, c: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -4*k + 17*q, -5*k - 13 = 3*q + 18 - 38 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -297*u**2 - 18*u + 299. Let w be o(29). What is w rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqc when three letters picked without replacement from xxbxqxxxcqqc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 0.0919369.\nAnswer: 2.0919369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/4 - 123*y**3\/4 - 3*y**2\/4 + 371*y\/4 - 123\/2 = 0.\nAnswer: -2, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8.6. Let k = x + -0.7. Let a = 5 + -4.6. What is the third smallest value in k, a, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135852301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 3. Let f = a - 112. Let s = f - -42.00000002. Round s to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/3900 and 79\/90.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannnneenniieen. Give prob of sequence iai.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-9 + 0 + (93 - 96))) + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*c**4 + 7*c - 27 wrt c.\nAnswer: -3240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*o - 279*o = 7226. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313 = 2*b - 3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*sqrt(6300) + sqrt(6300)))**2.\nAnswer: 11113200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1320.8441425 + 0.0321425. Let q = -1323 - k. What is q rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4346 (base 10) to base 4.\nAnswer: -1003322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 33597 = -f, -b + 2*f + 13608 + 3186 = 0. What is b rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**2 + 1 + 0*n**3 - 85\/4*n**4 + 101\/20*n**5 + 170*n. Find the third derivative of u(v) wrt v.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + c**2 - 2. Let s(n) = 5*n**3 - 3*n**2 + n + 6. Let a(v) = 8*j(v) + 3*s(v). Does 14 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.2127.\nAnswer: -3.7873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 + o + 2. Suppose -2*h - 3*h = -15. Calculate a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 763 + -765.72. Let p = i - -3.02. Let j = 0.3 - 0.1. What is the closest to -0.1 in j, p, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*g**2 + 27*g**2 - 7*g**3 + 34*g**2 - 11*g + 38*g**2 + 4*g - 2 in the form a*g**2 + d + j*g**3 + o*g and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1518.10245 - 0.10245. Which is the biggest value? (a) -2 (b) 0 (c) x (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12*4)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {i: 9, f: 5, c: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, q: 3}. Give prob of picking 1 l and 1 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 23*r + 92. Let s be z(-5). What is the third derivative of 20 + 161*v**4 - 7*v**s + 5*v**2 - 3*v**2 wrt v?\nAnswer: 3864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -112, -101, -98, -85, -44, 43, 194, 427?\n\"Answer: 3*h**3 - 22*h**2 + 56*h - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 6 - 4 + 36*u**3 + 0 + 228*u**3.\nAnswer: 264*u**3 - 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/96*(-5)\/6*(-18)\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240.5001489 + -240.5. What is m rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570466 divided by -21941?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -120077 - d + 120077. Let m(i) = -94*i**2. Determine m(n(x)).\nAnswer: -94*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 112.4. Let q = 8 - f. Which is the closest to 2\/5? (a) 4 (b) -6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*n = 22, -31 = 5*s - 4*n + n. Let z = s + 16. Is z greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 81*w + 3. Give p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d + 39. Let c be u(-9). Suppose c*g + 78 = 3*z, 2*z + g = -g + 44. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 548755, 548747, 548737, 548725, 548711, 548695, 548677?\nAnswer: 548657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105 + 0 - (-3147 + 3321)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1686959.\nAnswer: 5060877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816310354012 - 816310354012 - 11*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(-3*sqrt(4)\/sqrt(2)))\/(sqrt(588)*-1*-6))**2 + -3.\nAnswer: -23813\/7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*p + 84 - 69, -5*p = -2*z - 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/(-1)*405\/(-18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -4 - (6 + 6) - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:58 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 13. Suppose -l + 211 = 4*k + 3*u, -6 = 3*u. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozpssoq. Give prob of picking 1 s, 1 q, and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2024, -3963, -5848, -7679?\nAnswer: -9456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*c - 26*c**2 + 10*c**3 - 17*c**3 - 58*c + 9*c**3 - 2 to the form b*c**3 + z*c + h + q*c**2 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136*w**3*y + w**3 - 7*w**2*y + 6*w**2 + 4*w + y + 328 wrt w?\nAnswer: 816*w*y + 6*w - 14*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**4 - v**3 - v**2 + v + 1. Let l(g) = -43*g**4 - 41*g**3 + 6*g**2 - 6*g - 3665. Let s(m) = 6*d(m) + l(m). Differentiate s(t) wrt t.\nAnswer: -4*t**3 - 141*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t + 51*t - 184817009 = -73815102. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:07 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(183*x + 393 - 393)*(7*x + x - 4*x)*(3*x**2 - 2*x**2 - x + x**2).\nAnswer: -2928*x**4 + 1464*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31.2 from 240112.3329131.\nAnswer: 240081.1329131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfefl. What is prob of picking 1 f, 1 l, and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + z - 545147*z**2 - 545144*z**2 + 1090306*z**2 - z.\nAnswer: 15*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3569.8 - -3547.8. What is the third biggest value in s, -6, -1, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106, 72, 64, 94, 174, 316, 532, 834?\n\"Answer: 2*u**3 + u**2 - 51*u + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 368 + -350. Suppose 0*i = d*i - 2934. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8518679 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -29\/2*f**2 + 0*f - 35 - 4\/3*f**3 - 3\/4*f**4. What is the second derivative of i(d) wrt d?\nAnswer: -18*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158404*b**4\/3 - 128156*b**3 - 300949*b**2\/3 - 27370*b - 7225\/3 = 0. What is b?\nAnswer: -1, -85\/398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 + -110. Suppose 51 = r - k. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 4*l**3\/3 - 200*l. Let h(w) = w. Give h(o(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(3\/16)*b)*b*b*b\/(b*b**(-2\/5)))**43)**(-49) assuming b is positive.\nAnswer: b**(-372939\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 (base 8) in base 9?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.08, 3\/26, -10.4 in ascending order.\nAnswer: -10.4, -0.6, 0.08, 3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 90393?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203586 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6469, 7547, 9329, 11815, 15005, 18899, 23497?\n\"Answer: 352*l**2 + 22*l + 6095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*h = -345*h - 347*h + 7*d + 237, 126 = 2*h - 4*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6241 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5422 and 22?\nAnswer: 59642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 20979309805*a**3 + 20979309803*a**3 + 1 - 1 + 2 + 2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 4*y - 6. Let j be ((-63)\/(-42))\/(1\/(-2)). Let o(u) = 52*u + 158. Let k be o(j). What is c(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32493 is divided by 312.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 23544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/102510 and 149\/7650.\nAnswer: 512550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11100003121 - -121?\nAnswer: 11100003302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i - p, 0 = i + 3*p + 8. Suppose 5*g = i*g + 889. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:52 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1016831 and 1891?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*d - d. Suppose b - 3*n + 19 = 0, 0*b - 5*n = d*b + 27. Let m be 1*2\/b*2. Is m < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-540))\/(106\/(-4293)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004402066.\nAnswer: 2, 3, 334067011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83579 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(28)\/sqrt(4)) + (6*(sqrt(175) - (sqrt(175) + -1*sqrt(175))))**2.\nAnswer: sqrt(7) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 287160, 3, 20 in descending order.\nAnswer: 287160, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -439 - -448. Solve 2*n - p = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 31*r**5 - 3*r**2 + 17*r + 5. Let c(b) = 16*b**5 - 2*b**2 + 9*b + 3. Let g(q) = -10*c(q) + 6*m(q). Find the second derivative of g(o) wrt o.\nAnswer: 520*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.3? (a) -8\/7 (b) 5 (c) -4 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121919246 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.01758 * 0.3\nAnswer: 0.005274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 376.49 and -0.02.\nAnswer: 376.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 7 = 47 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -179659.5 to the nearest one hundred.\nAnswer: -179700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-2)\/(1 + 1)). Suppose a = -4*j - 5*r + 42, r + 24 = 2*j + 5*r. Calculate the lowest common multiple of 6 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 121*q**3 + q**2 - 2*q + 1. Suppose -5*h - 5*k = -25, -k - 2 = -h - 1. Suppose 4*s - h = s. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20922803 to the nearest integer?\nAnswer: 4574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -451 + 467. What is the remainder when 31 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-24)\/15) + (-7 - -5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1094889*p**4 + p**3 + 2*p + 10007330 wrt p?\nAnswer: 4379556*p**3 + 3*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -725, -728, -731?\n\"Answer: -3*f - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 14. Let p be a(9). Let v = 69 - p. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1648 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14520952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 54, 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 17*f**4\/24 - 45*f**3\/2 - 10*f**2 + 184. Give u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*4\/(-1). Let u = 1.01 + -1. Let f = u - 0.11. Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1932 and -113\/168728.\nAnswer: 506184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365850 - 365928.5292. Let w = 0.1708 - t. Let a = 64 - w. What is a rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60, -128, -194, -258?\n\"Answer: w**2 - 71*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/5939129 and -55\/35742.\nAnswer: 35634774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence peyw when four letters picked without replacement from yeyypepewpppyxp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.46843741\nAnswer: -0.046843741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1350 by 18.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36184*c**5 - 507*c**2 - 15?\nAnswer: -2171040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(275) + sqrt(121)\/(sqrt(11) + -5*sqrt(11) + sqrt(11)) + -4 + 4 + (0 + sqrt(11))*4 + 5.\nAnswer: 5 + 41*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1475 and 122?\nAnswer: -17.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8217\/498 - 3\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1135 + 0?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -6. Let r = d + 19. Solve -r + 13 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(4)\/sqrt(2) + 2 + 0))**2.\nAnswer: 56*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t - 6. Let l(x) = -2*x**2 + 4*x + 6. Let a be l(4). List the prime factors of c(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**4 - 42576*g**3 + 511296*g**2 - 2045696*g + 2727936 = 0?\nAnswer: -10656, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**4\/4 + 3*s**3 + 9*s**2\/2 + 18*s - 12. What is the least common multiple of c(-8) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168701838*m**5 + 2*m - 95366782?\nAnswer: 3374036760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvvfvvneeufvvv. What is prob of sequence vf?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-148)\/377 + (-1620)\/(-3510)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 8\/5 (b) 1\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/436372 and 109\/171704.\nAnswer: 147493736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13272266 - -8089532. Let r = u + 682734. Round r to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 1, h: 1, x: 2}. What is prob of sequence yhx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -80. Let v(r) = -2*r + 15. What is the remainder when v(f) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.89 - 0.11. Let i = -115 - -807\/7. Sort 0.08, i, g in decreasing order.\nAnswer: i, 0.08, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1093?\nAnswer: -2\/1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-672*u**4 + 34*u**5 + 672*u**4) - 2*u**5 + 1 - 1.\nAnswer: -36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + l**2)*(-4*l**3 + 3*l**3 + 2*l**3) - 18*l**2 + l**5 + 18*l**2.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -329, -1, 4 in decreasing order.\nAnswer: 4, -1, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17356.58427 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 2 - (1 - (2 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:47 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + 14 + -3 + -17 + 3 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l*l\/(l**(-4\/5)\/l))\/(l**(2\/7))**44 assuming l is positive.\nAnswer: l**(-202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 872 = 3*a, -3*a - 868 = 3*s + 2. Let l be a\/6 + (-8)\/24. Let c = l - -73. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g - 2*g**2 - 411755*g + 411755*g + 712*g**2 + (-g + g + g)*(-3*g + 6 - 6).\nAnswer: 707*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 5*y**7\/21 - 7*y**4\/6 - 24*y. What is the third derivative of r(f) wrt f?\nAnswer: 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.65673, -0.3, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - -16. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -3) + 5\/(-5). Let a be (-2 + 2 - p)\/1. Solve -2 - a = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + 41. Let l = h - 94. Suppose -5*a + 2*g = -17 - l, 5*a - 5*g - 55 = 0. Calculate the greatest common divisor of a and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4849\/11033 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24714247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301572 = -6297*a - 10457*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 36. Suppose 24 = v*c - 8*c. Solve 3*r = -m - 4 + 1, -2*r - 13 = -c*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35, 0, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 41 + 29. Let t be ((-30)\/y)\/((-2)\/(-14)). Suppose -156 = 2*d - t*d. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.02. Let j = t + -0.0399984. Round j to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12014412 at most as big as -12014413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2621325 or 2621321?\nAnswer: 2621325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7\/5, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 2*g**2 - 2. What is k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -68 (b) 2\/7 (c) 0 (d) 3\/2 (e) -23 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 104?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**4 + 2 + 2*s**2 - 24*s**3 - 3*s**4 + 10*s**4 to b*s**4 + m*s + a*s**2 + u*s**3 + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.77332 tonnes to micrograms.\nAnswer: 3773320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 467634805 and 3559?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10381 is divided by 10372.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1137840 by -12.\nAnswer: -94820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 455 = -193. Let m = 716 - k. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -5. Let o = 26 + h. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from uururuuurururrrrur?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37900 rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - n - 46 - 3584, 2*f = -n + 2425. What are the prime factors of f?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13523833*r - 17196879?\nAnswer: 13523833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41614130827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1511103072 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -21 + 11 + 6 + 7. Let q(g) = g**2 + g + 1. Let r(t) = o(t) - 3*q(t). What is the second derivative of r(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1984*a**2*q**3*r**3 - 4*a**2*q**3*r**2 - 23*a**2*q*r**3 + 26*a**2*r**2 - 2*a*q**3*r**2 + 8*a*q**3 - 4*a*r wrt r.\nAnswer: 11904*a**2*q**3 - 138*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, r: 2}. Give prob of sequence rwr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -590 and -297452\/503 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 166932463?\nAnswer: -667729852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -822, -772, -696, -600, -490?\n\"Answer: -b**3 + 19*b**2 - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 107*b + 1 + 81*b.\nAnswer: -26*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, -19, -30, 1, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1818 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 - 80245*s**3 + 615391*s**2 + 80245*s - 615388 = 0.\nAnswer: -26756, -1, 1, 23\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11513 at least -11514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 30. Let i be a(-15). Suppose -9*q + 7*q = i. Solve p - 1 - 3 = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*z - 2*z + 30, -2*z - 2*o = -12. Suppose -17*n + 20*n + 41 = 5*c, -5*n - 55 = -5*c. Put z, 3, c in descending order.\nAnswer: z, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -23*c**2\/2 + 91*c - 166. Let s be w(4). Let k(z) = -z**2 - z + 1. Let f(p) = -12*p**2 - 6*p + 6. Determine s*f(d) + 6*k(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/17 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p**(1\/2))\/((p\/(p*p*p\/p**11))\/(p*p**(-3\/11))) assuming p is positive.\nAnswer: p**(-391\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543096 is divided by 34291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5545\/177362 + -1784299939\/1655319546. Let x = q + -2\/1037. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7678)\/(-55))\/((-2)\/(-5)). Let l = i + 392. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4869051967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2222 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3088, 0, 194.\nAnswer: -3088, -2, 0, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/238 and -56\/85.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/12 + q**3\/9 - 85*q**2\/6 + 275*q\/3 - 656. Solve t(c) = 0.\nAnswer: -11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4625*l - 36993. Calculate v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 56*x + 508. Let h be g(-9). Put h, -31, 5, -3 in increasing order.\nAnswer: -31, -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12633262*y - 1816094?\nAnswer: 12633262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/8 and -83\/9504.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/24 + 11*i**3\/6 - i**2\/2 - 1. Let m(x) be the second derivative of k(x). Let h be m(10). Is 2 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10828\/7 + -1544. Which is bigger: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 3, -0.026, -0.053, 1 in decreasing order.\nAnswer: 3, 1, -0.026, -0.053, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:55 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5381 - -3.2335. Let u = 1.7 - s. What is u rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 5*v - 8 + 1 + 2. Let j(k) = -5*k + 3. Let q be ((-18)\/(-15))\/((-6)\/20). Determine q*l(m) - 7*j(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 8*a + 722 - 722 to t*a**3 + n*a + p*a**2 + d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 40*k\/3 + 125.\nAnswer: (k - 25)*(k - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 531*s**2 + 3*s + 1. Let a(g) = g**3 - 2*g**2 + 3*g + 1. What is a(b) - t(b)?\nAnswer: -2*b**3 + 529*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 20. Let u(i) = -4. Let g(n) = 5*u(n) + w(n). Let r(p) be the second derivative of 7*p**4\/4 - p**3\/3 - 7*p. Give r(g(a)).\nAnswer: 189*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1858, -3824, -5790, -7756, -9722?\nAnswer: -11688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508857.\nAnswer: 7, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2146 (base 7) to base 15\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 2*g**2 - g + 2. Let w be j(-2). Suppose 0*i - 72 = -w*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53826\/19 or 2833?\nAnswer: 2833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -116, -241, -348, -431, -484?\n\"Answer: c**3 + 3*c**2 - 141*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**3 - 2*o**3 + 19*o**3 + 15 - 6*o**4 + 121*o**2 + 3*o**4 + o**3 wrt o?\nAnswer: -72*o + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2523593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h - 1. Let b be i(1). Suppose b = 5*t + 4*d, 0 = 2*t + 5*d - 1 - 8. Solve t*m + q = -4 + 10, 8 = -4*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 2, l: 12, b: 1, v: 2}. What is prob of picking 2 l?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqmqmm. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*a - 10. Let q be 20\/(-1 + -3)*-1. Let m(r) = q*r - 5*r + 7 + 3*r - r. Give m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7509 = d, 2*d + x = -4*x + 15006. Let r = d - 67502\/9. Find the common denominator of r and (102\/(-16))\/(((-18)\/(-15))\/(-2)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, j: 4}. What is prob of sequence jx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 2*w)*((w + 3*w - 3*w)*(-w + w**3 + w) + w**3 - w**3 - 2*w**4 - 3*w**4 + 0*w**4 + 0*w**4).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/76)\/((-477)\/(-318)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24937 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 812, 806, 798, 788, 776, 762?\n\"Answer: -i**2 - 3*i + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwynxjn. Give prob of picking 1 x and 2 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-221)\/9503*-86)\/(1\/54*-2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*x - 80, 2*p + x - 39 = 16. Let i = 0 + 16. What is the remainder when p is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6134 and 574?\nAnswer: 1760458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*s = -3*b - 3, -5*b - 5 = s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 8*a**2 + 7*a - 8. Let w(j) = j**3 + 16*j**2 + 41*j + 368. Calculate the remainder when w(-14) is divided by p(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -29. Factor -21*b + 42 - k + 3*b**2.\nAnswer: 3*b*(b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 11*n - 33. Let k = -33 + 19. Let s be v(k). Suppose 4*t + d - 3 + s = 0, 5*t = d - 3. Is t < -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/348 and 139\/72?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*l + 44*l + 40*l + (2 - 2 - 2)*(0*l - 4*l + 3*l) + 0*l + 0*l - l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from pttltdc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.151 + -11.2. Let p = -0.048954 - l. Round p to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 24*l - 5*j = -45, -3*l - 13 = -5*j. Solve 0 = -3*r - 6, 2*o - 5*r = -l*r + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 56 = 28*y. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938176.2l to millilitres.\nAnswer: 938176200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3 - 9. Let v(a) = -3*a**2 + 3 - 3. Calculate v(p(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*-1*4\/3. Let g = 6 - l. Let c(b) = 49*b - 12*b + 13 - 27 + 13 - 16*b - 18*b. Calculate c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33126 (base 10) to base 4.\nAnswer: 20011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/30*(-1)\/4*56\/(-42)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = v - 9, 0 = 3*q - 13 + 10. Suppose 2*y + v = -k + 9, -5*y = -2*k + 8. Sort y, -5, 2 in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 2. Let v = -17 + 9. Let b be i(v). Suppose -5*n + 4*n + 2*a = -6, 0 = -2*a + b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.525 - -7.565. Which is bigger: -41 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**7)\/v)\/v)\/v)**36\/(v\/(v**(-2\/13)*v)*v)**(15\/2) assuming v is positive.\nAnswer: v**(4455\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*y**3 - 251928*y**2 + 4 + 251928*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148612403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4*390\/(-260))\/(23\/552).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 2 + 0*t - 5\/3*t**3 - 1\/12*t**4 - 37*t**2. Let s(p) = 2*p + 9. Determine -6*n(h) - 7*s(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12320.756 rounded to the nearest 100?\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2444 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 130110 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 1258278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1750, 4598, 7444, 10288, 13130?\nAnswer: 15970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -10*y + 7*y + 34, -49*w - 6 = -3*y - 46*w for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-69\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32312*s**4 + 21041?\nAnswer: 129248*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221 - -1560?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108786 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8304350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = 100. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Suppose -12*q - 2*g = -14*q - 8, 2*q = 4*g - 6. Let w(j) = j**2 + 5*j - 6. Let t(o) = q*s(o) + w(o). Determine h so that t(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/5))**(2\/63)*b*b\/(b\/(b\/(b*b*b\/b**(1\/19)*b)))*b**(1\/4))**(-1\/18) assuming b is positive.\nAnswer: b**(40331\/430920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 3 + 1\/2*m**4 + 4*m + 0*m**3 + 0*m**2. What is the first derivative of g(q) wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44191557*a**3 + 9*a - 28564 wrt a.\nAnswer: -265149342*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12263*z + 12288*z = -1500. What is the third biggest value in 1\/5, 0.02, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + r = 637, r - 9 = 4*r. Let h = o + -66. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 16. Give x(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0 + 5*d - 1\/2*d**4 + d**2 + 0*d**3. Differentiate i(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 14, 43, 96, 179?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 892 - 877. What is the greatest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40115 and 242465?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 31 = -480. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2546603, -5093208, -7639813, -10186418?\n\"Answer: -2546605*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 13*c**2 - 31*c + 15. Let q be u(15). Let r = 5 - q. Is 16 a factor of r - (-41)\/2*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 0 = 3*y - 1, l + y = 4*l - 2*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)*a**(-5)\/a*a)\/((a\/a**(-5\/3))\/(a**(-3\/2)\/a)) assuming a is positive.\nAnswer: a**(-445\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**3 - r**3 - 3*r**3)*(-17*r + 8*r - 6*r) - 2*r**4 + 0*r**2 + 0*r**2.\nAnswer: 178*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4217 + 4236 - (-1 - 1 - -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)*0*1\/(-2). Suppose 3*j + b - 760 = 0, d*j + 2*b = -3*j + 758. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n**2 - n + 1. Let f be (20\/25)\/((-2)\/(-5)). Does 13 divide h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.3, 8\/13 in descending order.\nAnswer: 8\/13, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j*j\/((j\/(j*j\/(j*j**(-2\/7)*j*j*j)))\/j))*j)\/j*((j**(-11)*j)\/j)\/j*(j\/(j\/(j**(-1)\/j*j)))**24)**(-5\/6) assuming j is positive.\nAnswer: j**(435\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 130.54 * 19851\nAnswer: 2591349.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -293\/4. Is 11 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5336, -5359, -5380, -5399, -5416, -5431?\nAnswer: -5444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/7)\/(5\/35). Suppose -5*z + 4*p + 23 = 0, -2 + 6 = -x*z - 5*p. Let q = 563\/3 - 186. What is the third biggest value in z, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 372057 - 372074 - 44*f**3 + 25*f**2 + 46*f**3 + (f**2 - f**2 - f**2)*(-5*f + 4*f - f) - 3*f**3 + f**3 + 4*f**3.\nAnswer: 6*f**3 + 25*f**2 - 2*f - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 103, -98, -419, -860, -1421, -2102?\n\"Answer: -60*w**2 - 21*w + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 2*x, 5*x - 3*y - 9 - 10 = 0. Let f = 36.9 + -37. Which is the closest to 1? (a) -5 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkdkgckusddk. What is prob of picking 1 u, 1 k, and 2 d?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 346*g - 1376. Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77117.49 kilograms?\nAnswer: 77117490000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (5 - (-11 - -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 226 = f, 5*p - 1150 = -10*f + 5*f. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 27 - 63 = 0. Let y = -26 - o. Which is bigger: y or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70779263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1536, -1542, -1556, -1584, -1632, -1706?\n\"Answer: -z**3 + 2*z**2 - 5*z - 1532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3058*g + 3133*g + 900 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h + 24 + 2*h**2 - 50 + 46. What are the prime factors of y(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321344 divided by -40168\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -50434.8 times 18?\nAnswer: -907826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/27)*i\/((i*(i*(i*i\/(i*i**3))\/i)\/i)\/i))**3\/((i\/(i*i**(3\/2))*i**(-1\/7))\/(i\/(i\/i**(-1)))**(-3\/11)) assuming i is positive.\nAnswer: i**(19595\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*h**2 - 38*h**2 - 37*h**2 - 35*h**2 - 39*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 11*c**2 + 12*c + 2. Let y be r(12). Let v be 18860\/4830 - (-10)\/(-3). Sort 3, -42, v, y in descending order.\nAnswer: 3, y, v, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113350485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -45. What is the greatest common factor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 - 3*x**5 - 3*x**5 + (4*x + x**2 - 4*x)*((2*x - 3*x - x)*(-x**2 - 2*x + 2*x) - 6*x**3 - 6*x + 6*x).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -m + 1, -3*m + 10 = -5*d - 8*m. Suppose 0 = d*p - 320 - 430. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00195078 to five decimal places.\nAnswer: -0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -27*q - 392. Let c(g) = -72*g - 1039. Let a(v) = 7*c(v) - 19*o(v). Determine a(-17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i + 7. Suppose -i*p - 9 = -3. Suppose -6*z - 9*z - 60 = 0. Sort p, z, 0.\nAnswer: z, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(425) - sqrt(425))*-4*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 38*k + 114. Let v be a(-41). Is -8 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7668296 and 928?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 11*q + 3*q)*(-376 + 376 + 39*q).\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 40112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 9*z**2 + 7*z + 23. Let w be g(8). Let q = w + -4753\/9. Let v(k) = 3*k + 28. Let f be v(-10). Is f smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122 and 810263.\nAnswer: 1620526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/3)\/v)\/(v**(-1\/7)*v))\/(v*v*v*v*v*v**(-6)\/v*v*v*v\/((v*v**(-1)*v)\/v)*v)*((v\/(v\/(v*v\/((v**(2\/5)\/v)\/v)))*v)\/v**(-3))**(-28) assuming v is positive.\nAnswer: v**(-22889\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/98*-1)\/((-5)\/35).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2103012222 (base 4) to base 16\nAnswer: -931aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*k*p + 11*c**2*p**3 - 157*c**2*p + 5205*k*p**3 + 5*p**3 wrt k.\nAnswer: 4*c**2*p + 5205*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + -0.27. Let y = 49.005 + -49. Let n = y + 6.995. Which is the nearest to 0? (a) n (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17349920 by 6.\nAnswer: 8674960\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -32*l - 51. Let j(o) = 21*o + 34. Let n(i) = 8*j(i) + 5*m(i). Let y(t) = -2*t - 4. Let r(w) = 2*n(w) + 9*y(w). Differentiate r(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5\/4 - 12*d**4 + 105*d**3\/4 + 25*d**2\/2 = 0. What is d?\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4829*q + 2*q**2 - 4829*q + 349*q**3 as c + k*q + w*q**2 + d*q**3 and give d.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7709649180 to the nearest integer?\nAnswer: 87805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 25*b + 197. Let z(f) = -6*f - 49. Let n(k) = -2*v(k) - 9*z(k). Let l be n(-11). Solve -l*r = -8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 21*a + 10*a**3 - 12*a**3 + 21*a**2 + 35*a**2 wrt a?\nAnswer: -12*a + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43788\/11 + -3978. Suppose 0 = -2*h + 2*q - 363 - 143, 4*h + 3*q + 1005 = 0. Let p = h + 254. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98123.33ng in milligrams?\nAnswer: 0.09812333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, a - 5*a - 20 = -3*z. Let s(k) = -13*k**3 + 13*k**2 - 7*k + 7. Let l(w) = -9*w**3 + 9*w**2 - 5*w + 5. Let u(d) = a*s(d) + 7*l(d). Factor u(h).\nAnswer: 2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98251 less than or equal to -98215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301403472 by 6279239.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 greater than -673\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p*v**5 + 60*p*v**2 + p*v - 3*p + 18 wrt v?\nAnswer: -20*p*v**3 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*r + 12 = -667 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10)\/(11\/(-5)). Let s be (-5)\/(-7) - ((176\/(-14) - -1) + 12). What is the fourth biggest value in -2\/5, -3, s, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439197.28 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*j - 18*j - 38 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.15723um in meters?\nAnswer: 0.00005715723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 66863.46*-32\nAnswer: -2139630.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3095016 - -1?\nAnswer: 3095017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 + 384. Let i = c + 33. Calculate the remainder when i is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 433*r - 41. Give q(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229.8 - -230. Let y = -20.9 - -21. What is the second smallest value in y, -2, -3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04834 in -129, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2990491 times 3.6\nAnswer: 10765767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 188609985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127084*j*n**3 - 247*j*n**2 + 48*j + 2*n**6 + 71*n**3 - 317*n**2 wrt n?\nAnswer: -762504*j + 240*n**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2 or 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = -9*k + 3*k. Suppose -5*f + 369 + 81 = k. Suppose -4*t = 26 - 62. What is the highest common factor of f and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 - 2*w**2 + 2 - 2 to r + o*w**2 + s*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/3? (a) -2 (b) -14.59 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 + -110 + -3 + (1004 - 955)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 503 - 499. Suppose -4*g = y*d - 920, -56*g + 1162 = 5*d - 57*g. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4804\/28 + 9\/21. Suppose 4*m + 116 - 4 = -3*f, 5*f = -3*m - j. Is (-2344)\/f*(-1 + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2*j + 9. Suppose 5*p - 39 + 5 = -3*b, -2 = b. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -13, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -173540000 to the nearest 1000000.\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*n + 85 = 0, -3*p + 2*n - 4*n = -64. Let x be (p\/(-4)*-4)\/2. Let g = 39 + x. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*w - 62 = -172*w. Solve 2*r = 0, 3*l + w*r = -0*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 5*s = -4*m - 10*s - 76, 87 = -5*m - 2*s - 8 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 + -0.29.\nAnswer: 359.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + 0. Let r = 40 - l. Suppose 3*f = -r*s + 624, 5*s = 5*f - 154 + 969. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 4. Let y(p) = 0 - p + 1 - 2. Let l(h) = -i(h) + 3*y(h). Give l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41217669.1 to the nearest one hundred thousand.\nAnswer: 41200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -3962495.597984?\nAnswer: -3962489.597984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:31 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29870540 take away 139659.4?\nAnswer: -30010199.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 2540.\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634786215.\nAnswer: 5, 17, 19232779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t - 1821*t - 614*t = -76470 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1586 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -12. Let m(t) = 0 + b*t + 3 - 2 + 3. What is the tens digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16cb9d (base 16) to base 8.\nAnswer: 5545635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -13 + (-9 - -13) + 1 + 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9.5. What is the second biggest value in -0.1, h, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.48 and 0.07.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 3*j, 263*j = 265*j + x - 16. Let m(g) = -g**3 + 5*g**2 + 5*g. Let t(w) = 0*w**2 + 2*w + 2*w**2 + 0*w. Calculate j*t(c) - 2*m(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5402.\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0264 + 0.0736. Let f = 789\/7 - 113. Put 1\/2, f, v in ascending order.\nAnswer: f, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 20 - 0. Suppose 75 = -0*o + v*o. Suppose 10*i = o*i. Solve i = -4*h - 5*z - 31, 0 = -3*h - z - 4*z - 27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7439 = -437*w - 3031 + 6080 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g + 16. Let h(i) = -i - 3. What is b(s) + 12*h(s)?\nAnswer: -26*s - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -25*w**3 + 5*w**2 - 7*w. Let c(g) = 12*g**3 - 3*g**2 + 4*g. Let s(y) = 5*c(y) + 3*j(y). What is the second derivative of s(b) wrt b?\nAnswer: -90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -19, -7056 in descending order.\nAnswer: 28, -19, -7056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 62.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38181.94 centuries in millennia?\nAnswer: 3818.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 divided by 8.\nAnswer: -425\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16.3. Let f = -0.6 - -0.1. Let m = f - -0.4. Which is the closest to 1? (a) -5 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31*58\/3596)\/(((-63)\/(-654))\/(-21)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:04 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/24 - l**3\/6 + 269*l**2\/2 - 180. Let k(i) be the second derivative of o(i). Let w = -7 - -10. Calculate k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 21*r + 18*r**2 + 3 - 51*r**2 + 24*r**2. Let s(y) = y**2 + y - 1. Let g(c) = 3*s(c) + w(c). Find the second derivative of g(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28482264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50648, -201767, -453642, -806273, -1259660?\n\"Answer: -50378*r**2 + 15*r - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-31)\/v**(3\/7))\/(v**14\/((v\/((v\/((v*v\/(v\/(v**22\/v))*v)\/v))\/v*v))\/v)) assuming v is positive.\nAnswer: v**(-171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:49 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156558 a multiple of 538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5752, 5731, 5688, 5629, 5560, 5487, 5416, 5353?\n\"Answer: k**3 - 17*k**2 + 23*k + 5745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:36 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4853984 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 280 (c) 0.1 (d) -1\/2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 = q, -h - 3 = q + 2*q. What is the biggest value in h, -1\/3, 1\/8, -2\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 897120420 to the nearest one hundred thousand.\nAnswer: 897100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*q + 4*r, 0*q - 5*q + 6 = 2*r. Suppose l - n - 2 = q, -3*l + 13 = -2*n + 2. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598815167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215603082.\nAnswer: 2, 3, 11977949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2436826, -2436817, -2436792, -2436745, -2436670, -2436561, -2436412?\n\"Answer: i**3 + 2*i**2 - 4*i - 2436825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90 (b) 3\/2 (c) -8\/49 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*l - 3*z, -l = 3*l - 5*z - 66. What is the least common multiple of (5 - (-1 - -8))*(-4 - -1) and l?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/53765 in 85\/4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50076975?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 229018647 and 33.\nAnswer: 229018647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275103 divided by -1472.\nAnswer: -11961\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5300 (base 14) to base 3.\nAnswer: -201121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 11*k**4\/7 - 39777*k**3\/7 + 360700*k**2\/7 = 0.\nAnswer: 0, 100\/11, 3607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308 or -1227\/4?\nAnswer: -1227\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*(-7)\/(-84). What is the fourth smallest value in 0.3, a, 0.1, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/506 and 125\/828?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 5.1. Let k = j - 5. Let d = 1.6 - -3.4. Which is the second smallest value? (a) d (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38622 by 6.\nAnswer: 6437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 583622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let h(v) = -744*v + 1482*v - 739*v. Let f(o) = -11*o**2 + 20*o. Let i(d) = q*f(d) + 4*h(d). Find the second derivative of i(p) wrt p.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 1409*o**6\/120 - 301*o**3 + 110*o**2 + 2. What is the derivative of z(d) wrt d?\nAnswer: 4227*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/335 (b) -20 (c) -103 (d) -2 (e) 0.3 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8*s - 6 = -3*s, 5*s = -2*m + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 9. Let m be q(7). Suppose m*y = -0 + 65. What is the highest common divisor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 17*r**2 - r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 6 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014200452 to 7 decimal places.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99058381 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 26.021. Let v = y - -0.06. Let s = 0.0328 - v. What is s rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -106, 54 in increasing order.\nAnswer: -106, -5, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01276188996 to 6 decimal places.\nAnswer: -0.012762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 - 1.6. Put 1\/12, v, 0 in increasing order.\nAnswer: 0, 1\/12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1299005051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 6325?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/7, 0.1, -0.13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from {p: 5, f: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 2373.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w + 21. Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -101.6. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + u - 962 = 0, -10*c = -7*c - 3*u - 942. What are the prime factors of c?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/1500)\/2 - 7662\/(-450)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 - -16.32. Let i = l + -21. Which is the biggest value? (a) -6 (b) i (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 46.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = 2*h. Let o(s) = 560380*s + h + 382701*s - 9747*s + 1. Let g be o(-3). 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: Expand 9 - m**5 + 3*m**2 - 9 + 134*m**5 - 105*m**5 + 116*m**5 + (-2*m**3 - 5*m**3 + m**3)*(3*m**2 + 2*m**2 - 3*m**2).\nAnswer: 132*m**5 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -193761.\nAnswer: 310017.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 not equal to 5.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by 4094?\nAnswer: 81\/4094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*k + 2*k**2 + 150*k)*(-3 + 2 + 4)*(-2 - 2 + 3).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.7 + -69. Let m = 0.3 + i. Let f = 0 + 0. What is the smallest value in m, 3, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 7226*w**2 - 3 - 10939*w**2 + 11467*w**2 in the form r*w**2 + s*w + n and give r.\nAnswer: -6698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) - sqrt(34)\/sqrt(2)) + 2 - (0 + sqrt(1088) + 3)**2.\nAnswer: -1093 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-151 + 1)*6\/15. Let w(f) = -f**2 - 2*f + 1. Let d be w(1). What is the remainder when (d\/(-1))\/((-4)\/k) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203262817?\nAnswer: 3, 7, 104917277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2235020 and 7599068.\nAnswer: 37995340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d + 1427*d**2 - 1427*d**2 + 4*d**3.\nAnswer: 4*d**3 - 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcw when three letters picked without replacement from {w: 1, c: 9, p: 5, x: 3}.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 - 60. What is the greatest common factor of 210 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*o - 67*o + 23*o + 80*o + 63*o.\nAnswer: 149*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136844 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -22*v + 39. Suppose -v*p - 297 = -13*p. Suppose -2*f + 28 = 2*f. Calculate the remainder when p is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 3*u**2 - u + 1. Calculate the remainder when 49 is divided by f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*j = -190, 340 = 4*m + 4*j + 84. Let g = m - 100. Let d = g + 105. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40523 + -40522. Let t(j) be the first derivative of 13*j**2\/2 + j - 3. Determine t(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgzdv. What is prob of picking 1 j and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than -595\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -5. Let t be (3\/6)\/((-30)\/(-72) + (-32)\/(-384)). Put q, 0, -2, t in descending order.\nAnswer: q, t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14958 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) -4 (c) -1\/7 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52547675 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 1 - 1)*(u - u + 3*u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:17 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 - t + 10. Calculate q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -3. Let l = 1 - 1. Suppose 3*k - 14 - 1 = l. Sort v, -4, k in descending order.\nAnswer: k, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2638 and -309948 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135581?\nAnswer: 135581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 655*h - 19. Let p(c) = 221*c - 7. Calculate 8*p(j) - 3*y(j).\nAnswer: -197*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.095, -0.5, -1832\/5 in decreasing order.\nAnswer: 0.095, -0.5, -1832\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/3, -1, -6, 2\/185 in ascending order.\nAnswer: -6, -1, -2\/3, -2\/7, 2\/185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 42. What is the remainder when 573 is divided by d(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -557109 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5, -4*d = 3*y - 5*d - 31. Calculate the least common multiple of y and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31006.57 millimeters?\nAnswer: 31.00657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ttwwwiwtwitw?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/120 + d**5\/60 + d**4\/8 + 6245*d**3\/6 + 43*d**2. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110211 (base 3) in base 15?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -13 (c) 2\/17 (d) -13\/5 (e) -1\/2 (f) 116 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 1 + 9 = 3*r, 80*x = 3*r + 85*x - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1236 - 1235. What is the biggest value in -0.4, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*u**5 + 2*u**3*v**2 - 2*u**3*v + 4*u**2*v**2 - 13*v**2 wrt u?\nAnswer: 4980*u**2 + 12*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 30 = 5*p, -h = p + 2*h - 2. Suppose -p*q + 2*q = 0. Suppose q = t - 1 - 2. Solve 4*y + 3*j = 31, -19 = -t*y - 2*j + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 2\/119 (c) 1\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 17 + 58 = 0. Suppose 0 = -2*a - 3*a - y. Let o be (-7)\/(-4) - (-1)\/4. What is the third biggest value in a, -1\/3, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -32*y. Let v(n) = -n + 80 - 36 + 2*n - 44. What is w(v(q))?\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 16*q**3 - 11*q**2. Let b(f) = 3*f**3 - 2*f**2. Suppose 0 = 4*u - 15 - 5. Suppose -u*t - 6 = -2*t. Calculate t*s(r) + 11*b(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*((-14)\/(56\/(-4)))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:06 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17626.13 + -10.2.\nAnswer: -17636.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15.64679 nanograms?\nAnswer: 0.00001564679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 13, 6175065, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 + 71199*n**2 - 12*n + 7919527 wrt n.\nAnswer: -6*n**2 + 142398*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*r + 2 = 19, -3*w - 4*r = 22. Let s be (0 + 4\/(-3))*w. Suppose 5*y - s*y = 0. Solve y = -5*c - 1 + 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5632 and 520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -2\/9, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82054664?\nAnswer: 2, 43, 238531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:48 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3*p**2 + 10*p + 112. Determine q(-7).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -252263985.08 + -5?\nAnswer: -252263990.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 67. Let z(r) = -r**2 + 4*r - 1 + 6*r**x + 2*r**3 - 2*r + 0. Determine z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/2 - 112563*c**3 + 23672271*c**2\/2 + 36296325*c + 24347628 = 0.\nAnswer: -75147, -2, -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3883459919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:21 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Suppose -11 = 2*i - 3*k, 2*i = 3*k - k - 6. Let g be (1\/i)\/(5\/(-15)). Which is the closest to 0.1? (a) -0.1 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -1\/24*k**5 + 1\/360*k**6 - 1 - 2*k**3 + 1\/6*k**4 + 0*k**2 + 0*k. Let n(f) be the third derivative of o(f). What is n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.0955.\nAnswer: -0.0955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32180000 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50034311 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:00 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 174795*t**2 - 1524776400*t - 50508152640.\nAnswer: -5*(t - 17496)**2*(t + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 5*n - 3*n)*(0 + 0 + 1 + (37 - 8 + 12)*(0 + 5 - 2))*(0 - 26*n + 0*n + 0) in the form q*n + m + s*n**2 and give s.\nAnswer: 3224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 28. Let b = d + -62. Solve b*k + 0*k = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1386 and 308.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 156 + 12. Suppose -2*n = n - x. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -6. Suppose 4*p + 13 = -3, w = -3*s - 4*p. Suppose j = -4 - 1, 0 = o + s*j + 12. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.09. Let b = -2.5 - -1.5. What is the smallest value in k, b, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - b473?\nAnswer: -b474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 1. Suppose -u = 2*w - 10, u + 3*w - 10 = 2*w. Suppose -2 = -2*x + u. Calculate z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 41\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, h: 3, l: 1}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-20)*(1350\/96)\/(-15))\/(12\/296)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-9))\/((-95)\/12 - -8). Let g(f) = 4*f**2 + f - 1. Let k be g(1). Solve 0 = -j*d - k - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2727 and 10403?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(3 - -1)\/4. Suppose j - 2*j - 36 = -s, -2*j - 5*s - 44 = y. Let z = j + 51. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:33 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8378 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 11*q + 26*q - 10*q + 13*q - 6*q.\nAnswer: 41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/12 + q**3\/6 + 462*q**2 - q. Let g be w(0). Let d be g\/(-35)*10\/(-3). Calculate the highest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -36090.2.\nAnswer: -469172.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 178*n - 2440. Give d(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -239792?\nAnswer: -23978a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5590.399 milligrams?\nAnswer: 0.005590399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {e: 2, c: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 165192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*n = 40, -2*n + 40 = 4*j - 0*n. Let z be j\/(-54) + 122\/(-18). Is z bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 25 = -42 - 95 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 4*h + 4*h)*(8 + 2 - 3)*(-30*h - 22*h - 4*h) to q + p*h**2 + v*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -403 + 408. Solve 3*y + 2*f = -0*y - 22, x*y = 4*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:01 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 2*u**2. What is c(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*m + 8, 5*m - 2*u - 6 = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (47\/2)\/((-30)\/164). Let l = z - -724\/5. Find the common denominator of l and (363\/20)\/((-6)\/4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592000781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -68*k**2 + 3. Let n(w) = -2925*w**2 + 130. Give -130*b(r) + 3*n(r).\nAnswer: 65*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26\/15 - -12\/5. Put -4, -3, o, -1\/5 in decreasing order.\nAnswer: o, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 133263419 and -374514.\nAnswer: 132888905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -23*b + 25. Determine k(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from ggaggaegaeaeaaaeg?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 6) + (0 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.482044661727 - 0.9?\nAnswer: 51.582044661727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -28d?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 240. Let b = 285 - i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1478*w**4 - 1683 wrt w?\nAnswer: 5912*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s**4 + s + 0 + 0*s**3 - 3\/2*s**2.\nAnswer: s*(s - 1)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 + l - 43. Let v(y) = y**2 + y - 1. Give -a(m) + v(m).\nAnswer: -m**3 + 3*m**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)\/x*x)**(-45)\/((x\/(x*(x*x*(x**6*x)\/x)\/x*x))\/x*x\/(x\/(x**(-2\/5)\/x*x)))*(x**(2\/3))**(-4\/9)\/(x**(-1)\/x**(4\/3)) assuming x is positive.\nAnswer: x**(-1342\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4\/j**(-2\/15) assuming j is positive.\nAnswer: j**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 285*q = 288*q + 9, 4*w = 2*q + 6. Solve 0 = -3*s - w*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - 29\/(-2)*4. Is 0 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 4*c + 45.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r + 27*r - 22*r + 3039 - 543 = 0 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-21 - (-16 - -29)) + 8)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/5 greater than or equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -230, -229, -228, -227?\n\"Answer: z - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 50. Suppose -t = 2*x - 13, 5*t - 3*x = x + 9. List the prime factors of ((-8)\/t)\/((-4)\/b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r + 26*r - 532. What are the prime factors of r?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 530, 539, 562, 605, 674, 775, 914?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59.401986 + -1.6.\nAnswer: -61.001986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 87206353 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 3*t**3 + 2*t**3 - 4*t**2 - 4*t**3 + 0*t**3 - 2*t**3 + (-2*t**3 - 13 + 13)*(-3 + 6 - 1) as j*t**3 + x*t + g*t**2 + c and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 + 2*q + 5. Determine w(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 2, -3, -0.3, -18, -0.91?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 16) in base 15?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55234, 110471, 165708, 220945, 276182?\nAnswer: 331419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/4 + 3*b - 8. Differentiate p(h) with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 6. Let v(g) = 1. Let b(d) = 18*v(d) - 3*x(d). Let o(u) be the first derivative of -u**2\/2 - 3. Calculate o(b(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2, 5, 2\/15 in descending order.\nAnswer: 5, 2\/7, 2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 186.032 - 185. What is m rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 2770293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 754, -69, 0, 4 in decreasing order.\nAnswer: 754, 12, 4, 0, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 1 + sqrt(192) + 1 + sqrt(192).\nAnswer: 2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3*r - 4. Let z = -25 - -28. Suppose -4*k = z*n - 32, 3*k = -n - k + 24. Give o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, -1014, -6444, -17802, -37062, -66198?\nAnswer: -107184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9*-2)\/((-8)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/837 and -149\/6?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*f - 2, -4*f - 1 = -5*r - 5. Let n be r + -1 - (193013 - 14). What is n rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = 15*y - 20*y. Factor -11 - 5*i**2 - 68*i + 31 + y*i.\nAnswer: -5*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*1*5 + sqrt(150))\/(-2*sqrt(18)*-6 - sqrt(18)).\nAnswer: 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10605\/(-10))\/21*2*-1. Suppose -40360 = k*i - 109*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165.6 - -165. What is the third smallest value in -0.2, d, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/7 (b) -5 (c) 0.4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 45 - 15. Let j be 14\/21 - (-2)\/o. Factor -j*u**2 + 0 + 0*u.\nAnswer: -u**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 36*l**2 - 64*l - 136. Calculate g(34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441736243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003411514 to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*z = 15, -2*j + 5 = 4*z + 17 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1425 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let s(o) be the third derivative of -o**4\/3 - 39*o**2. Calculate s(d(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2114057 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 72, 137, 222, 333, 476, 657?\n\"Answer: h**3 + h**2 + 41*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:14 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:49 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 315*b - 10725. What is the remainder when 4025 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -8, 1 in descending order.\nAnswer: 1, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2947, -2966, -2993, -3022, -3047?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22527 - -55899. What are the prime factors of h?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(51\/918).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -549*y - 418. Let n(a) = -825*a - 627. Let d(c) = 5*n(c) - 8*q(c). What is the first derivative of d(i) wrt i?\nAnswer: 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-280)\/(-20) + -17 + 1 + 56 and 1320.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 966\/92*2\/12*2*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22460.18 millennia?\nAnswer: 224601.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.016682l?\nAnswer: 6016.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - 6. Let p = 2 - -3. Solve q - 2*q - 2*m = 0, -3*m = k*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 202*f - 12295. Determine b(60).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 220. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170229216*f**3 - 233869781 wrt f.\nAnswer: -510687648*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23942969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37239092 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -30.2. Let m = -2\/1773 - 1769\/3546. What is the nearest to 0 in t, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/32*5\/(250\/(-20)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.82575703 - -485.\nAnswer: 484.17424297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7634 and 518071?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/32 - (4 + 10503\/72*(-3)\/(-9))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -2\/5, -6\/173, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200546, 401089, 601632?\nAnswer: 802175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 22*h + 4. Let r be n(-11). Let m(c) = -4 + r + 313*c - 266*c. Let w(j) be the second derivative of -j**3\/6 + 3*j. Give w(m(f)).\nAnswer: -47*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f*s**3 - 65*f*s**2 - 2475*s**3 wrt f?\nAnswer: 5*s**3 - 65*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 28 = -0*n + 2*n - 0*n, -28*a = -3*n + 54 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 + p + 10. Let o = -3 + -7. Let a be d(o). Suppose a = 2*j - 3*j + 7. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123191 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2 - 10*q + 72 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0332 + -224.0332. Let l = -226 - k. Let f = 0.2 - -0.3. Which is the closest to -2\/7? (a) f (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**4\/24 + 11*d**3\/6 - 2*d**2. Let t(u) = 29*u**2 + 3*u - 2. Let x be t(1). Let k be (16\/40)\/(2\/x). Determine v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 0 + 0 + 21*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*d**2 + 243*d + 310*d - 551*d.\nAnswer: 545*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3758888 take away -251?\nAnswer: -3758637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -20. Let m = v - 10.4. Which is the nearest to 1? (a) -3\/2 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*b + 11, -203*b + 202*b - 4*y = 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 6. Let f(b) = 7*b - 6. Let d be 4\/5 - (-2639)\/(-455). What is d*l(g) - 4*f(g)?\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6520 by 1.\nAnswer: 6520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 1. Let k = -11 - -33. Let m = 24 - k. Suppose m*u - 5*c + 2 = -u, -2*u + 4*c - 4 = 0. What is n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 362255.\nAnswer: 362257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -17, -28?\n\"Answer: -11*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222111 + -111332?\nAnswer: 110113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.06944161 + 0.01.\nAnswer: 76.07944161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*v - 2*v. Suppose -a = -4*j + v, -3*a + 4 = 3*j - 20. Sort -4, a, -3 in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)*t\/(t**(8\/7)\/t) assuming t is positive.\nAnswer: t**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 256 - 91. Suppose -5*b - 124 = 4*c + v, 5*c - 4*b = -310. Let x be (-9)\/(c\/21 + 3). Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 348. Solve -5*t = -s, 4*h - 2*t - 12 = -6*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -16896965?\nAnswer: 16896993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/1867055 and 103\/6?\nAnswer: 11202330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 63836866.8 milliseconds?\nAnswer: 0.105550375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 22*j. Give n(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -56, -211, -512, -1007, -1744, -2771?\nAnswer: -4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/31880404 and -83\/228.\nAnswer: 95641212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 0.02788\nAnswer: 0.0002788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -37. Let m = 3 - -2. Let v(q) = -q**3 + 5*q**2 - q + 3. Let t be v(5). Sort t, c, m in descending order.\nAnswer: m, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3719, 3714, 3707, 3698, 3687?\nAnswer: 3674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 195\/4. Let m = -1.5 + 2. Let q(h) = h**2 - 13*h + 21. Let y be q(11). What is the second biggest value in j, m, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 26*d**2 - 53*d + 74. Calculate p(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - f - 10. Let a(r) = 3*r**2 - 6*r**2 - 3 + 5*r**2. Give -7*a(t) + 2*y(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, -1974, -100?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, 1 o, and 1 t when four letters picked without replacement from {a: 1, w: 3, f: 2, o: 1, j: 3, t: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1379*c + 703*c + 93 = -707*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**6\/6 - 2*h**5 - 65*h**4\/12 - 5*h**3 + 71*h + 21. Let v(i) be the first derivative of b(i). Factor v(s).\nAnswer: -5*s*(s + 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 8. Let i be t(7). Let n(k) = -k**3 - 8*k**2 - 3*k + 4. Let d be n(-3). Let j = i + d. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3248334 is divided by 728?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2072 - -4766. What are the prime factors of a?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1275843*z + 1121038 with respect to z.\nAnswer: -1275843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*6)\/(sqrt(11) - (6*sqrt(176) - sqrt(11))).\nAnswer: -6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2572 and 0.2?\nAnswer: 514.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -3*o**5\/4 - 10*o**4\/3 - 35*o**3\/6 - 5*o**2 + 47*o + 16. Let d(k) be the first derivative of l(k). Factor d(v).\nAnswer: -5*(v + 1)**2*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - -573565?\nAnswer: 573606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from jjjjoojojj.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -883 + 878. Suppose -2*j = 3*j + 30. Let f = j + 5. Sort 0.04, f, c in decreasing order.\nAnswer: 0.04, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4562 + 4565. What is the second smallest value in d, 7, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (212\/(-35) + 6)\/((-46)\/(-8740))?\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/351 and -64\/91.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 3. Let a(y) = 2*y**3 + 12*y**2 - y - 4. Let f be a(-6). Let q be (-4)\/f*(h - -3). Is 3 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -48060*v + 8554*v - 17787*v - 70. Let p be b(10). What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:45 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 7304.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Let w(x) = 2*x - 67. Let i(f) = 3*f - 112. Let z(d) = 3*i(d) - 5*w(d). Give o(m) + 2*z(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86688*p*y - 19*p + 12754644*y wrt p?\nAnswer: -86688*y - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.56 - 14.26. Let j = -255272347 + 255272351.69999878. Let k = j + l. Round k to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17801\/8 + -2229. Let z = 145994697\/454 - 321574. Find the common denominator of z and t.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20374502*q**4 - 6312409*q**2 wrt q.\nAnswer: -488988048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w + 8*w**2 - 35\/3*w**3 - 17\/6*w**4 + 0. Differentiate i(y) wrt y.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 4 + 4 + (0*l**2 - 3*l**2 + 4*l**2)*(-4*l + 4*l + 3*l**2) + l**4 + l**4 - l**4.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1995806053.\nAnswer: 1995806053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19589662 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(5\/(-9)*2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 289188*d + 13600672.\nAnswer: -4*(d - 47)*(d + 72344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00304819 rounded to 5 decimal places?\nAnswer: 0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 - 31710*q**3 + 95*q**2 + 602340*q - 951300 = 0.\nAnswer: -6342, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1630*i**2 + 1725*i**2 - 3221*i**2 + (0*i - i - i)*(4*i - 2*i - 4*i) - 2*i + 2*i + i**2 + i**2 - 3*i**2 + 0*i**2)*(2*i**3 + 2*i**3 + 0*i**3).\nAnswer: 548*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 4 - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Let h(p) be the third derivative of p**5\/20 + p**4\/6 - 2*p**3\/3 - 50*p**2 + 2*p. Let o(s) = -3*s**2 - 3*s + 3. Determine j*o(u) + 3*h(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*d**3*v - 3*d**3 + 12*d**2*v - 2*d*v + 78*d - v wrt d.\nAnswer: -60*d*v - 18*d + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 405\/108*8 - 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/90)\/(2\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44597.8 rounded to the nearest 100?\nAnswer: 44600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 321?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/112*(-7)\/154*-77.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*u = -147*u + 320. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.42579 and -8?\nAnswer: -35.40632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4*v*v\/(v**3\/v))\/((v*v*v**(-2\/5))\/v)**(-11))\/(v**(1\/3)\/(v**1\/v))**(2\/15) assuming v is positive.\nAnswer: v**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/19 - 10*a\/19 - 28\/19.\nAnswer: 2*(a - 7)*(a + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39256 is divided by 13076?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1828, -3710, -5680, -7786, -10076?\n\"Answer: -8*t**3 + 4*t**2 - 1838*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88808782*v*x**2 - 9*v*x + 5*v + 4*x - 7221 wrt x?\nAnswer: -177617564*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1894641*m - 36603. Let v(l) = -2329*l - 45. Determine -4067*v(c) + 5*y(c).\nAnswer: -1162*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-1560)*-130*(-18)\/(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90.992 + -183.9984. Let f = i + 93. What is f rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 5. Suppose -9*z - 4 = -w*z. Let b be (z - (-3 - -4))*-69500. What is b rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.016.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 - f - 2. Let c(z) = 5*z**2 - 2*z - 2. Suppose 6*l + l + 144 = -41*l. What is l*c(w) + 4*k(w)?\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -761*d - 52. Let w(y) = 190*y + 12. Calculate 2*g(z) + 9*w(z).\nAnswer: 188*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**19*l*l**8*l**0)\/((l\/(l*l*(l*l\/((l\/(l**(2\/5)*l))\/l)*l)\/l))**(5\/4)*l**(-2\/9)*l**(-7)) assuming l is positive.\nAnswer: l**(-293\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/156 and -97\/2730.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 263582990 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -89, -105, -127, -155?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*i = 5*f - 134*i - 47, 4*f - 3*i = 39. Suppose 0 = 5*b - 111 - 49. Find the second derivative of -l**5 - f*l + b*l**5 + 15*l wrt l.\nAnswer: 620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - z + 5, 2*z = -5*u + 3*z - 5. Suppose -6*m + m = -4*w - 737, u = -3*m - 3*w + 426. What is the remainder when m is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*d**2 + 48*d**2 + 24*d**3)*(0 + 0 - 4*d**2)*(5 - 1 - 3).\nAnswer: -96*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - o - 15. Let l be d(7). Let n = -248 - l. Let w = n + 624. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -548.\nAnswer: 547.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 14. Let r(l) = -2*l - 13. Let k(s) = -4*q(s) + 5*r(s). Let y be k(8). What are the prime factors of 0\/(-3) + y - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, -1, 4, -0.02, 14?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3203577*h - 17595 wrt h.\nAnswer: 3203577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2*q + 3. Let t be (1 - 6\/(-2)) + -9. Let w be 8\/10*t\/2. Determine m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*c*l**2 + 4*c*l - 889440*c + 54*l wrt l.\nAnswer: 216*c*l + 4*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u**2 - 6*u. Let r be k(3). Suppose r = -16*g + 12*g + 3548. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -405, -884, -1555?\nAnswer: -2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 8*l**2 - 2*l + 18. Let q be s(8). Suppose y = -q*y - 744. Let v = y + 417. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 11*b + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71531868 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -114221 (base 5) in base 15?\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308) - (sqrt(308) - -3*sqrt(308)))\/sqrt(11))\/(((sqrt(28) - sqrt(28)*-4) + sqrt(28))\/sqrt(7)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 8)*(-4*x + 4*x + x**3).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 168*x**2 + 10*x - 25. What are the prime factors of t(3)?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 5, -5, 1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - 0.0415.\nAnswer: -0.1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 322.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20998494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/27334458 or 1?\nAnswer: -41\/27334458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x + 34*x - 11*x + 25*x - 7*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 22. Which is the nearest to o? (a) 3\/7 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4 = 2*m, 4 + 5 = -99*q + 102*q + 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12540587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**3 + w**2 + 6*w - 17. Let y be k(7). Suppose 19*t = 25776 - y. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k - 6. Let h(c) = -c**2 + 23*c - 12. Let d(u) = -3*h(u) + 5*j(u). Find a such that d(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 5 (b) -1 (c) -5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*k**2 + 10*k**2 - 11*k**3 - 4*k wrt k?\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 358, 796, 1420, 2236, 3250, 4468, 5896?\nAnswer: 7540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z - 28. Calculate the remainder when 25 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 1. Let z(i) = -i - 1. Let w(v) = g(v) - 6*z(v). Give w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 52. Let a(k) = 33*k - 208. Let p(l) = -6*a(l) - 26*s(l). What is the remainder when 165 is divided by p(16)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-130*s + 246 - 246)*(-2*s + s**3 + 2*s) in the form r + y*s**3 + n*s**2 + m*s + g*s**4 and give g.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 11*b + 66. Let w be x(-8). Calculate the highest common factor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/10 - (-6)\/10. Solve 19 + 1 = -j*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.554263mg?\nAnswer: 0.002554263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*p - 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126070 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 5*n + 8. Calculate t(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r)**(-45\/4) assuming r is positive.\nAnswer: r**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 104?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -469, 66\/31?\nAnswer: 66\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -70\/9, -2, 4\/9, -29.15?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*r. Let d(s) = -29*s - 22*s - 3*s**3 + 3*s**2 + 37*s + 44*s - 13*s - 18*s. Let a(u) = u**2. Calculate r*d(n) - 6*a(n).\nAnswer: -6*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631927309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 8. Let b(l) = 3*l - 9. Let n(d) = 3*b(d) + 2*i(d). Let s be n(6). Solve 4*u + s*q - 33 = 2*q, -9 = -2*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 9*y**2 + 2. Let a = -665 - -662. Let u be h(a). Solve 0 = -k - 2*w + u + 1, -3*k + 12 = 3*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-63)*36\/(-30)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1807290267 rounded to the nearest 1000000?\nAnswer: -1807000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000054491 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 18. Let h be (o\/10)\/(4\/190). Let q = h + -35. Solve q*x = -2*r + x - 2, -1 = -3*r - 2*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**2 - 16*i - 2. Let t(k) = -7*k**2 + 7*k + 1. Determine -2*m(u) - 5*t(u).\nAnswer: 9*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (435 + 0)*1\/2*2 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -36. Suppose -4*u + q + 0 = 0. Let x be (5\/(45\/u))\/(-1). Is 0 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 335827 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 0, 4*s + 3*z - 4 = z. Let n be 2\/(-9) - (-4)\/18. Let l be 1\/(0 - 1)*n. Put l, -2, s in increasing order.\nAnswer: -2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 14*o**2 - o**3 + 10*o**2 + 10*o**2 - 3*o**2 as s*o**2 + x + k*o**3 + n*o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -168*i - 599. Let a be w(-4). What is the highest common factor of a and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/1537 - 93877\/30740. Find the common denominator of i and 97\/222.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrro when four letters picked without replacement from ylrynrronn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/417, -8, -0.04?\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54*(-18)\/288*(-8)\/12?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29985 > 2189003\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61, -272, -843, -1954, -3785, -6516?\n\"Answer: -30*p**3 - p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = o - 2*p, -6 = -74*p + 76*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 + 5*m**2 - 4. Let k(s) = 3*s**3 - 4*s**2 + 3. Let n(r) = -4*b(r) - 5*k(r). Let w be n(1). Solve 0 = w*x - 1 + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 131*f**3 + 11*f**2 + 11*f + 44. Let r(c) = c**2 + c + 4. What is -4*g(v) + 44*r(v)?\nAnswer: -524*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-269)*(-110)\/11*(-3325)\/16625?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104045 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 21*m + 2*m**4 + 831*m**3 - 31*m - 834*m**3 to the form u*m + q*m**3 + c*m**2 + j + s*m**4 and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4911? (a) -4\/3 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 6:42 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103001434 (base 5) in base 3?\nAnswer: 211020110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136115 is divided by 100.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.073789 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c**3 - 10*c + 2 - 6 - 25*c**3 - 14*c**2 + 7*c**3. Let g(l) = -l**4 + 11*l**3 + 29*l**2 + 21*l + 9. Let x(t) = -2*g(t) - 5*m(t). Factor x(s).\nAnswer: 2*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 791.\nAnswer: -2\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:59 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18024*c**4 - 8*c**3 - c**2 - 2110326*c wrt c?\nAnswer: 216288*c**2 - 48*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*b = 812*b + 260 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**3 + 3*o**2 - 5*o - 5. Suppose 6 = 5*s - q, -2*s - 4*q = 3*s - 26. Let m(f) = -4*f**3 - f**2 + 2*f + 2. Calculate s*j(x) + 5*m(x).\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 23. Factor -26*c**2 + c**v + 8*c + 5*c**4 + 7*c + 5*c**3.\nAnswer: 5*c*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (-58 + 117 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37459 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, 783, 4021, 10977, 23049, 41635, 68133?\nAnswer: 103941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 344.3131.\nAnswer: 103.29393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/n**(-2\/9))\/n))**(-44) assuming n is positive.\nAnswer: n**(-308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -715 - -730. Sort -0.4, -1, -4, a in increasing order.\nAnswer: -4, -1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 35. Let u be n(-9). Suppose 10*r + u = -0. What is the units digit of r\/(((-4)\/(-149))\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0, -6, 5, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9217 - 967784\/105. Let t(j) be the second derivative of -3\/70*j**5 + 1\/14*j**4 + 0*j**2 - 21*j + f*j**6 - 1\/21*j**3 + 0. Factor t(g).\nAnswer: 2*g*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(3\/2))**40*((x\/(x**(-2)\/x))\/(x**(-9)\/x*x))**(-22) assuming x is positive.\nAnswer: x**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:34 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 - 1958 - 15*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144373 - -3?\nAnswer: 144376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/5 - -3. Let i(r) be the second derivative of -1\/10*r**4 - g*r**2 - 1\/50*r**5 - r + 0 - 1\/5*r**3. Find a, given that i(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 101 = -51 + 66 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - (6 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c + 2. Let u be i(-4). Let m be u\/(-4)*12\/(-18). Let w be (m - -2)\/((-1)\/10). Solve -3*o + w = -8*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -11, -28 in increasing order.\nAnswer: -28, -11, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 383 + -7. Suppose -366*p = -n*p + 8630. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15133*i + 741534. Determine p(49).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -4*x**5\/5 - x**4\/2 + 94*x + 76. What is the first derivative of q(w) wrt w?\nAnswer: -16*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y + 10 + 379 = 79. Let a(j) = -j + 11. Let c be a(9). Solve 5*b + 2*p + y = 36, -6 = -c*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4679 - -88929\/19. What is the common denominator of s and 5\/7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86, -68, -50, -32, -14?\n\"Answer: 18*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 19 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 - 73*i - 136. Let p be g(20). Let x be (0 - -1)*(-2)\/(-2). Which is the closest to x? (a) 3 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 17. Let a = -77 - -83. Calculate the remainder when l(a) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -74 + 34 - (0 - 5)) + (12 - 68).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)\/s*s\/(s**0*s)*s**(-2)*s*s**9 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 548591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:41 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (2\/(-4))\/(2\/12). Let 0 - 1\/3*o**2 + 1\/2*o**3 + f*o = 0. What is o?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -12.57. Let u = v - 0.07. What is the nearest to -2 in u, -0.1, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14737 - -5?\nAnswer: 14742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 0, -5020976 in ascending order.\nAnswer: -5020976, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-8))\/(-3)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**5 - 2*g**4 + 545*g**3 - 6709*g?\nAnswer: -20*g**3 - 24*g**2 + 3270*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -9992.94.\nAnswer: -9997.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 5 in decreasing order.\nAnswer: 14, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 294315.5 micrograms?\nAnswer: 294315500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*((-152)\/(-126))\/19.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 10259\nAnswer: 2\/10259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6512 - 0.04382\nAnswer: 6511.95618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -98\/5, -4, 1, 0, 4\/5, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:55 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 65, 62, 59, 56, 53?\n\"Answer: -3*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*i + 8*h - 3*h, -20*h = -4*i - 72 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (26 - (-11 + 1 + 7))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -81. Let x be (-5)\/7*(-16)\/v. Let f = 11.8 - 12. Which is the closest to f? (a) 0.3 (b) -2\/13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/23 (b) 40424 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:29 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3\/7 + 906*i**2\/7 - 2736*i\/7 = 0.\nAnswer: -456, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9796 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -1.3296\nAnswer: 11.9664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 12. Suppose 0 = 4*y + 7 + 5. Let v = y - -3. Calculate the smallest common multiple of 12 and f(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5772, -57, 2, 0, 4 in increasing order.\nAnswer: -5772, -57, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 1330?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-45)\/6)\/(-5). Suppose 0 = 2*p - 13 + g. Solve -4*l + 35 = p*u + l, -u - 5*l = -27 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -40. Solve 2*p + u = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 4*t**2 - 21*t**2)*(1 - t**2 - 1)*(-3*t + 3*t + 4*t + (2*t - 3 + 3)*(-2 + 5 - 1)).\nAnswer: 152*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Solve l*g**2 - g**2 + g**3 + 4*g**3 - 3*g**3 + 2*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -13*l + 3*l. Suppose c + l*h - h - 12 = 0, 116 = 3*c - 4*h. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:20 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098 divided by -6.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20546 divided by -5?\nAnswer: -20546\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2 - 2)*((5 - 2 - 4)*(-23 - 31 + 146) + 0 - 4 + 5 + 1 + 1 - 1 + 5 + 0 - 4 + (1 - 3 + 4)*(6 - 3 - 5) - 15 - 3 - 1).\nAnswer: 224*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(60)\/sqrt(4))\/((sqrt(12) + sqrt(3))*-5).\nAnswer: 2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25525127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 996 + -999. Which is the closest to 24? (a) o (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 947615610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5 + 51*t**4 - 180*t**3 = 0.\nAnswer: 0, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.73 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -502\/49 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*z**6 - 6264*z**5 + 786*z**2 - 18*z?\nAnswer: 1320*z**3 - 375840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 746.99427 - 747. What is t rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyqy. What is prob of picking 1 q and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318822 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: What is 172 minutes before 5:21 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12)*(-1 + -2). Put 0, f, 5, -2 in descending order.\nAnswer: 5, 0, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -343 - -346. Solve -v = -2, -4*v + v - 9 = s*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17318131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 143. Suppose -3*k - 263 = 5*w, -2*k + 68 - 280 = 4*w. Let h be 4\/(-22) + (-9690)\/w. What is the highest common factor of h and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 804.\nAnswer: 31356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9501659 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Calculate the remainder when 46 is divided by p(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2 + -42)\/(4\/(-134))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-11)\/(11 - -11)). Solve q*n + j + 2 = 0, n + 2*j = 5*j - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/25 of a kilometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 302175*o**3 + 99*o - 193523881 wrt o?\nAnswer: 906525*o**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 9*l + 2*l)*(l - 1 + 1) + (2*l + 3*l - 3*l)*(-2 + 2 - 2*l) + 8*l - 8*l - 27*l**2 as y + n*l**2 + p*l and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 3, 51882 in decreasing order.\nAnswer: 51882, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 5*w**2 + 3*w + 1. Let b be c(2). Let k = -8 - -20. What is the greatest common divisor of b and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62312917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 13. Let u = -2 - h. Calculate the lowest common multiple of 10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56476715?\nAnswer: 5, 109, 173, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/(-189))\/(-2*2\/(-14)) - (-105)\/(-10).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - 166?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34\/3? (a) 3 (b) -5 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 1 + (-13 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**5 + h**5 - 3*h**2 - 5*h**5 + h**2 + h**5 + 26*h**5 - 57*h**5 - 3*h**5 + (h**2 + 3*h**2 - 5*h**2)*(-2*h**3 - h**3 - 3*h**3).\nAnswer: -31*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*i + 2*w, i - w + 0 = -2. Suppose 2*q - i*r - 333 = 0, 3*q - r - 501 = 2*r. Calculate the highest common factor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-10))\/(1\/(-15)). Suppose -3*l + 4*l = d. Calculate the highest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254533 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:35 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1938 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, 0.1, -1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -476 - 5243?\nAnswer: -5719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 12*k**2 + k - 9. Let f be r(12). Suppose 4*g = 8*g - 16. Suppose 3*b = c + 2, 2*c = b - 6*b + 7. Solve g*s - f = b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-72) - 0) + (-9)\/((-1656)\/(-23))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.22 + 15. Let c = 2.1 - h. What is c rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42755 + -39595.4. What is t rounded to the nearest ten?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2209572, 4419114, 6628656, 8838198?\nAnswer: 11047740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3519020*r + 389 = -3518929*r - 3342 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) 0 (b) -0.07 (c) 10 (d) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2. Let b be (-6)\/(-1 - 3\/6). Suppose -3*x + 2 = -j, 4*x + b*j = 3*j + 12. Let v(u) = 2*u**2 - u**x + u**2. Determine r(v(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389565, -779130, -1168695, -1558260, -1947825?\nAnswer: -2337390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*r = 4*n - 194, 0 = -3*r + 6. Let u = n + -19. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j - 112. Let f = -19 + 19. Suppose f = -x - 5*a + 43, 2*x + 3*a - 47 = 18. What is the highest common divisor of j and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 - 2. Let q be o(5). Suppose 2*r + q = 6*r. Let c be 5\/2*r\/15. Sort 3, 5, c in increasing order.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b**2\/2 + 6*b = 0 for b.\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 5)*18\/4. Let p = s + -13. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20090 = 157*l + 919*l - 6810 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = 5. Suppose -f - s*f = -112. What is the remainder when 82 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26802, 53686, 80570, 107454, 134338?\n\"Answer: 26884*o - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002072375 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*i**6 - 2*i**5 - 10*i**3 - 5*i**2 - 1779 wrt i.\nAnswer: 44760*i**3 - 120*i**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + 330\/50. Let w = -5 + n. Solve w*b + 0 + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -124. What is the nearest to 0 in 2, d, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 1. Let a be t(1). Let q(f) be the second derivative of -f**5\/20 - f**4\/12 + f**3\/6 + 6*f**2 + 4248*f. What are the prime factors of q(a)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.03 (b) -0.1 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 60*n**2 + 2*n**3 - 47*n**2 + 8294 - 8294.\nAnswer: -3*n**3 + 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -65, 9, 3, -3, 1 in descending order.\nAnswer: 9, 5, 3, 1, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -317144 and -10.\nAnswer: -317154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2382.845013 to one decimal place.\nAnswer: -2382.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*w)*(4*w**2 - 3*w**2 + w**2) + w**3 - 3*w**3 + 0*w**3 - 3*w**3 + 3*w**3 + 3*w**3 - 155*w**3 + 188*w**3 - 239*w**3.\nAnswer: -201*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 + 2. Suppose 0 = -3*u - a + 1739999, -2*u + 0*a + 3*a = -1160003. Suppose r*o + u = o. What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y**2 - 2*y**2)*(-11 + 19*y + 22*y - 39*y).\nAnswer: -2*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 6.2?\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -743 or -0.009468?\nAnswer: -0.009468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17, 4, 3\/2, 0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5\/7))\/(q*q**(2\/13)\/q*q*q))**(-23) assuming q is positive.\nAnswer: q**(3910\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22796718 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {s: 4, k: 3, n: 4, l: 1, m: 1, u: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 119*z**2 + 20*z**2 - 115 + 76*z**2.\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*p**4 + 1982*i*p + 539*i wrt p?\nAnswer: -8*i*p**3 + 1982*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Suppose -o + 2*o = n. Is 12 a factor of 3\/(o - 8\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 239873, 239868, 239863, 239858, 239853, 239848?\n\"Answer: -5*r + 239878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose 8*n = 3*n + 20. Suppose q*d + n = 4*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose n = 4*z - 15, 0 = 3*z + 2*z + a*n - 9. Solve 2*j + 5 = -z*j, -9 = 4*v + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 14) to base 10.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 - 182. Sort u, -33, -4.\nAnswer: -33, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95704 and 462924?\nAnswer: 1582274232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359573 = 4936*f + 335*f - 88462 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 2*x + 1. Let m be l(2). Let o(j) be the first derivative of j**4\/4 - j**3 + j**2 - j - 1. Calculate o(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 72 - 12 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76433 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 16. Let g be w(-7). Suppose -g*b + 19 = -5. Calculate the least common multiple of b and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/95)\/(82\/(-205)). What is the nearest to 2\/9 in -0.2, 6, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (72\/(-12))\/(2\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22752 + 22754. What is the greatest common divisor of 140 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a microgram in nanograms?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303615*s**6 + 27*s**2 + 422*s wrt s?\nAnswer: 36433800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - b19b?\nAnswer: -b182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.051, -0.4, 0, 0.2, 91?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -205*l**2 + 55?\nAnswer: -410*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 1. Let k(n) = -3*n**2 + 5*n - 7. Let j(q) = -2*h(q) - k(q). Give j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 5, -0.2, -72.\nAnswer: -72, -0.2, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v + 3*v. Suppose -v*x + 3 = 3*o, -o + 0*x + 2 = x. Let p be -2 - (0 + -1) - -4 - 4. Which is the nearest to p? (a) -0.4 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 2, w: 1, f: 1, s: 3, q: 5}. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 242*y\/3 + 460.\nAnswer: 2*(y - 115)*(y - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n**3 - 111*n**2 - 220*n - 13. Calculate v(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 11) + 0 + 0 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 v when four letters picked without replacement from kkkvkkvvkkkvkkvkkkkk?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4877 - 43*c + 4877)*(7 - 7 - 4*c)*(2 + 6 + 0)*(-3*c - c + 6*c) to the form w*c**2 + p*c**3 + s*c + f and give p.\nAnswer: 2752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-416)\/(-64))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 234, 233, 232, 231, 230?\n\"Answer: -p + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:41 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171224 (base 10) to base 8.\nAnswer: 516330","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 4)*3\/(-3). Let f(g) be the third derivative of 1\/8*g**4 + 1\/60*g**5 - 1\/3*g**3 + 0*g + g**2 + 0. Give f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = 5*d + 8, -d + w - 7 = 0. Let y be d\/(-5) + 143\/65. Suppose -14*s + 114 = -26. Solve -y*j + 2 + s = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 66 + 64*v**2 + 1095*v**3 - 4*v**5 - 20*v**4 - 2 + 128*v - 1111*v**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 41 - 48 + 184 - 43 - 1765*i to the form j*i + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -111436696.33 to the nearest one thousand.\nAnswer: -111437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 58760?\nAnswer: 58765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.592 + -54.6. Let t = a + 9. Let r = 2.708 + t. Round r to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*o + 4*o. Let z(k) = -2*k**2 + 17*k + 4 - 15 + 5. Calculate the lowest common multiple of 15 and z(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9889 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 6*o + 4. Let k be g(5). Let y be (78\/(-65) - -2)*15\/(-6). Sort 3, y, k, 2 in decreasing order.\nAnswer: 3, 2, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:39 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12 and 1 + (-418)\/(-138) - (3 - 0)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(2) + -3*sqrt(2))*-5 - ((sqrt(2) + 2)*3 + sqrt(2))) + (sqrt(288) + -1 - (-2*sqrt(2)*2 + -1))**2.\nAnswer: 6*sqrt(2) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.148 + 345.216.\nAnswer: 345.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + 612\/(-68)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1250*y**4 + 3592700*y**3 - 14924808*y**2 + 2318992*y - 91840 = 0. What is y?\nAnswer: 2\/25, 4, 2870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)\/(3\/(-30)). What are the prime factors of (36\/b)\/(1\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304\/7 or -43?\nAnswer: -304\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (sqrt(76)\/sqrt(4))**2 + (sqrt(152) - -2*sqrt(152))\/sqrt(8) + sqrt(171) + -4)*3*-1.\nAnswer: -18*sqrt(19) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1643683\/27765 - 1\/5553. Let g = -59 - z. What is the biggest value in 4, -4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000512741 rounded to 6 dps?\nAnswer: 0.000513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from jaaaasj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63480 - 31620. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475 a factor of 434360950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58520\/23 - 760017\/299. Let c be (10\/(-65))\/((-8)\/(-136)). Let i = c + w. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + 572\/(-39). Let p be (30\/12)\/(i\/(-12)). Solve 2*s = 5*o - p*o - 19, 5 = o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (281 - 274) + 5608\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than or equal to 151\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 2*d**2 + 3. Let m be k(2). Suppose 7*t - m*t = 48. Determine x so that -12*x**3 + x**2 + 0*x**4 - 10*x**2 + t - 3*x**4 + 12*x = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5699.918 to the nearest ten.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddllddlyld. What is prob of sequence ddd?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/116931 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 145 and 36?\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1995, -3991, -5987, -7983, -9979?\n\"Answer: -1996*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-168)\/(-140) + 12\/108*-9. Factor 4*y**3 + 18\/5*y**2 + i*y**4 - 19\/5 - 4*y.\nAnswer: (y - 1)*(y + 1)**2*(y + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20212 (base 4) to base 15.\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-24)\/2968)*55\/(-22)*24\/(-210).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 20 - 7 - 7*n to the form j*n + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 143222310 (base 5) to base 11\nAnswer: 478407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y, n = -3*n - 3*y + 10. Let v = -5 + n. Sort -3, 4, v in descending order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/(-150)*969\/(-136).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735*c**3 - 649*c + 649*c + 763*c**3.\nAnswer: 1498*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/10 and -16\/10933?\nAnswer: 109330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75526076 divided by -1?\nAnswer: 75526076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 101*z + 4*z - 1 - 19*z to j + p*z and give p.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 - 13*k**2 - 17*k + 19. Let a(d) = d**3 - 2*d. Let b(h) = 5*a(h) - j(h). What are the prime factors of b(-11)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 4*g. Suppose g*z - 107 = -42. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.0798667.\nAnswer: -0.2396001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c870033 - 3?\nAnswer: 1c870030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262 is divided by 103?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 24 = p, 10*k - 5*k - 22 = 3*p. Let o(h) = -1. Let i(u) = u. Let w(b) = i(b) + o(b). What is w(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f - 2. Determine q(8).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 90, 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 799816 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 4*a + 13*a + a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143942 is divided by 443.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let h(n) = -12*n + 7. Let i(o) be the second derivative of 2*o**3\/3 - o**2 + 56*o. Let j(x) = -3*h(x) - 8*i(x). What is q(j(g))?\nAnswer: 16*g**2 - 40*g + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-6)\/7)\/(3\/7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4, 3*v + 5*u - 11292 = 1390. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(1 + (-38)\/40). Suppose 7*u - m + 24 = 0. Put u, 0, 3 in increasing order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 36*a**2 - 334*a - 1326. What is g(-4)?\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28838*s - 648257?\nAnswer: 28838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000111110 (base 3) to base 14.\nAnswer: -1069b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4599627090 to the power of 1\/3, to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 65. Does 3 divide 31 + (-20)\/(-5)*f\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**2 - 6*k - 5. Let c(t) = t**2 + t + 1. Let h be (18\/(-8))\/(15\/(-40)). Calculate h*c(i) + q(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144451703 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.9 - 12. Let p be (-2)\/5 - 4\/(-10). Which is the nearest to p? (a) -0.4 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**5\/15 + 2*z**3\/3 + 4*z**2\/3 + z + 3. What is y in j(y) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/3 - 3*b**2\/2 - 6*b + 1. Let j be v(6). Let k = -8 + j. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j)**45*j\/(j\/(j\/((j*j\/(j*(j\/(j**(-1\/3)\/j))\/j*j))\/j)*j))*j**(-3) assuming j is positive.\nAnswer: j**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/33 and -0.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 1335, 2988, 5299, 8268, 11895?\nAnswer: 16180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176544, -353093, -529644, -706197?\nAnswer: -882752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 5*w**2 - 11*w**2 - 3*w**2 + 11*w**2. Let g(d) = -9*d**2 - 8*d. Give g(c(h)).\nAnswer: -1089*h**4 + 88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 - 46610*r**4\/7 - 13218*r**3\/7 + 46598*r**2 - 186448*r\/7 - 79896\/7 = 0.\nAnswer: -3329, -3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21aa + 4?\nAnswer: -21a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y**3 + 96*y**2 + 6*y - 6. Let o(i) = -i**3 - 12*i**2. Let s(r) = -10*o(r) - w(r). Let q(n) = n**3 - 24*n**2 + 7*n - 7. Determine 6*q(g) + 7*s(g).\nAnswer: -g**3 + 24*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -140096772 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 8*b**2 + 2*b + 8. Let j be q(7). Let x = 53 + j. Suppose -4*w = -x - 14. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 20*v. Suppose 0 = 5*l - c + 5*c - 10, v = -2*l - 2*c + 2. Calculate the remainder when 6 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61231855 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -416 + 3?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20222120 (base 3) to base 5\nAnswer: -130331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*4*(-75)\/(-250).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/10 and 1839\/408 - (-6 - 700\/(-119)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and -6306.\nAnswer: 819.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 - 28054*j**2\/9 - 5212720*j\/9 - 26729312.\nAnswer: 2*(j - 14211)*(j + 92)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b - 4. Let v be w(-4). Is ((-4)\/8)\/((-2)\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 23 = -257. Put 0, -4, b, -3 in increasing order.\nAnswer: -4, -3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 105\/(-175) - (22\/5 - 0). Which is the nearest to f? (a) -21 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 263432520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -686252 (base 15) to base 4.\nAnswer: -103000110023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from jggggjgfjjfgfxgxggf.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 69.06?\nAnswer: 345.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2 + 3\/((-9)\/(-12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - b = 2 - 20, 3*k - 2*b + 58 = 0. Let u be 1 + 11*-21*9\/27. Let c = k - u. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = 32. Let o(j) = -j**3 - 2*j**2 + j - 3. Let c be o(-3). Suppose 5*n - v = 4*k, c*k + 4 = k. Sort -2, 3, n in decreasing order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2056*o**2 - 129385*o - 1953. Give c(65).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -248\/9 or -29?\nAnswer: -248\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-8)\/(-5))*(-9 - -19). Sort 5, r, -1 in ascending order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {g: 1, m: 1, b: 2, w: 5, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3895733\/6000118 + 1\/44777. What is the common denominator of 32\/7 and r?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/((45\/6)\/(-5)). Let a(x) = -x**3 - 3*x**2 + 2*x - 3. Does 5 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*l**2 - 301*l**2 + 596*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041213, -1041182, -1041151?\nAnswer: -1041120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 12*t + 27. Let v be r(-8). Let z(a) = -a**3 - 6*a**2 - 4*a + 1. Let m be z(-5). Let d be ((-2)\/5)\/(m\/6). Sort d, -1, v.\nAnswer: v, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -720 - -1037. Suppose -4*z - 1 = -b. Let a = z - 51. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28762 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 73, 112, 149, 184, 217?\n\"Answer: -j**2 + 44*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3299705921\/415 - 7951094. Let i = d - 2\/415. What is the common denominator of -32\/3 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(7 - 8) - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhwh when four letters picked without replacement from whhwwhhwhwhhhwhw.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 349249 - 208951. Suppose f = 4*t - 1104518. Let z = t + -851204. What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 559354*z**3 - 132283*z**2?\nAnswer: 3356124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2207, -2181, -2149, -2105, -2043, -1957, -1841?\n\"Answer: w**3 - 3*w**2 + 28*w - 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.43 + -2.4. Let w = t - -0.17. Is w at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 + 3) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -2.1. Let z = -9.67 - -10. Let u = -1.33 + z. What is the smallest value in c, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43.8 in -8, 10, -1\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -2 + 146 + 0. Let t = l + -73. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 39 - 6 = 0. Suppose i - 5*h - 86 = 0, -o*i + 448 = -3*h + 18. Let r = i - 76. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(1 + sqrt(1584)*-1)**2*6 + -5.\nAnswer: -288*sqrt(11) + 19015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8350457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 485 = 3*g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:00 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20984, -4, -352 in decreasing order.\nAnswer: -4, -352, -20984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Suppose -f - q = -5. Let j = 6 + 11. What is the remainder when j is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -5, -1, 4, 1\/41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142748799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccygzyyycymcycgzz. What is prob of sequence zgc?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3060 and 103428?\nAnswer: 517140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146663061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 70 = 40*l - 13*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-3 + 2)*-1. Suppose -n - w*i - 7199990 = 0, -3*n - i = -0*n + 21599998. What is n rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w - 2*w)*(-1982*w + 1216*w**3 + 1982*w)*(-3 - 4 + 5).\nAnswer: 9728*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34487 rounded to the nearest 100?\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 794749609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.178 and 0.04260202?\nAnswer: 1.22060202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 10 + 22 = 0. Which is the closest to 0? (a) 0 (b) -3 (c) -0.06 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 213. What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*h**3 - 4*h**2 + 248*h**3 + 2*h**2 to a + p*h**2 + r*h + f*h**3 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -5. Suppose -p*c + c + 30 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/2, -2\/7, -4, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 25*y**2 - 2*y + 10. Determine j(25).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*5\/(-100))\/(1\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23. What is the closest to 0.2 in -13, u, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-14))\/(4\/14))\/(-4).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ees when three letters picked without replacement from wse.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1290, -6904, -12532, -18180, -23854, -29560, -35304?\nAnswer: -41092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.14 + -1.\nAnswer: 7.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -162 (b) 156 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.84 + -0.04. Let j = p + 2.2. Let l = 25\/126 - -1\/42. Put j, 1, l in descending order.\nAnswer: j, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y*y\/(y**(-2\/3)\/y))\/(y**(-1\/2))**(-39) assuming y is positive.\nAnswer: y**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - y)*(-20*y**3 - 6*y**3 - 6*y**3) - y**4 + 4*y**4 - 4*y**4.\nAnswer: -33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, e: 3}. What is prob of picking 2 e and 2 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.049 (b) 34 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24.518 times 0.5\nAnswer: 12.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 520*x**3 - x**2 + 3*x**2.\nAnswer: 520*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 567*w**2\/2 - 80655*w\/2 + 80089\/2.\nAnswer: -(w - 283)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 35\/2*q**2 + 1\/140*q**5 - 21*q + 11\/56*q**4 + 0*q**3 + 0. Let k(d) be the first derivative of v(d). Factor k(u).\nAnswer: 3*u*(u + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((1*(-4)\/16)\/(10710\/952))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.822 - -0.792. Let j = y - 0.07. Are -402 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 22, 1.2, -22 in increasing order.\nAnswer: -22, -14, 1.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(12\/8). Let a(k) be the first derivative of 1\/2*k**2 - z*k**3 + 0*k + 1. Find the second derivative of a(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725\/196 greater than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527.96 - -912. What is o rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 12:25 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16*4*(-1)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 4*o**3 - 4*o**2 - 5 + 3*o + 3*o**3. Let x(j) = 0*j - 13*j - 9*j**3 + 4*j**2 + 7*j + 3 + 4*j + 10*j**3. Give 3*v(a) + 5*x(a).\nAnswer: 2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.38 + 0.02. Let z = -0.3 + l. Which is the second smallest value? (a) -3 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8604.765 centimeters to meters.\nAnswer: 86.04765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 43086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198380 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26705929 - 314*c**2 - 72*c**3 - 60*c - 180*c + 2*c**4 - 26705929 = 0. Calculate c.\nAnswer: -3, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102304185 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 6*m**5 - m**5 + (-m**2 + 0 + 0)*(m**3 + 0*m**3 + 0*m**3) + 79*m**3 - 79*m**3 + 14*m**5 + (3*m + 2*m**3 - 3*m)*(2*m + 0*m - 14*m**2 - m).\nAnswer: -12*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38.718261*3\nAnswer: 116.154783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15829361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x**2 - 2*x - 22. Let g(s) = -5*s**2 + 11. Determine -10*g(f) - 4*r(f).\nAnswer: 2*f**2 + 8*f - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 3:47 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022330 (base 4) in base 7?\nAnswer: -34632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a + 43*a = 102*a - 1710. Solve -17*b = 49 - a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*(g*g*g*g*g*g**2*g)\/g)\/g))\/g**6)**(-41))**(-29) assuming g is positive.\nAnswer: g**(-14268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -q, 0 = 3*q + 2*q + 10. Suppose 0 = -5*j, v + o*v - 2*j = 0. Solve -i + 4*h + v*h = 3, -i = -5*h + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 88*g + 206*g = -21*g + 673, -28 = -5*g - 3 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*a = -72. Let m(j) = -j**2 + 9*j + 33. Let n be m(a). Suppose 0 = 3*v - 5*x + 2*x + 21, -5*v + x = 27. Is v smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -775, 7868, 0 in decreasing order.\nAnswer: 7868, 0, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -42*r + 272. Let t be n(7). Is 33\/t*((-63344)\/12 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3443 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-57)*24\/81*138\/46?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, -4247, -9697, -17365, -27251, -39355, -53677?\nAnswer: -70217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2100 and 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/15)\/((-6)\/(-20)). Suppose 101 = 3*l + 5*j, -q + 2 = -2*j. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k - 84498 = -15*k + 293562. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 5*s**2 + 12*s - 4. What is the remainder when d(4) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + f)*(0*f + 0*f - f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -2*w**7\/945 - 19*w**6\/270 - 7*w**5\/27 - 17*w**4\/54 + 235*w**2. Let y(l) = 0. Calculate l.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12*g = -2*g + 44, -2*g + 8 = 4*d. Solve 2*w + 0*r - 9 = -r, -r = -d*w + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12 and -55\/55591194?\nAnswer: 111182388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*u = 896*u - 652 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 44*y - 484. Let g be h(11). Solve -6*f - 26 = -2*p, g = -f + 2*f + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(6*sqrt(56)\/sqrt(8)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258400 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158643 (base 14) to base 4.\nAnswer: 2313313003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 2590 = -3*s, -3*s + p + 2588 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 2. Let o(i) = -2*i**2. What is j(o(v))?\nAnswer: -20*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let g = 306\/395 + 2\/79. Let v = -0.1 - 2.9. What is the nearest to -1\/4 in v, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7*h - 11 = 4*h, 0 = 4*h - 8. Solve -2 = -d + y, -3*d = 4*y + w - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/124 in 5, 6, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*o + 368*o = 2*z + 188*o + 1, -z = o - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -33*r**3 - 1059*r**2 - 101*r - 168. Give b(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/159132 and -121\/63588.\nAnswer: 843240468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 8) in base 4?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 + 5. Let d = j - 0.2. Which is the third biggest value? (a) 3 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-8))\/(1\/(-6)). Suppose 2*h = -h - u. Let y be (h\/9)\/(2\/(-78)). What is the greatest common factor of y and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 2. Let s be p(12). Let d(u) = 6*u - 22. Calculate the remainder when 74 is divided by d(s).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056799431 take away 3.4?\nAnswer: -3.343200569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.0427, -2\/5, 2 in descending order.\nAnswer: 2, 0.0427, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 579*i**3 + 62*i**2 + 2 - 7 - 619*i**3 + i - 64*i**2 + i**4 to v*i**3 + m*i**4 + k + j*i**2 + g*i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 72353 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**5\/40 + 4*l**3\/3 - 4. Let p(b) be the third derivative of n(b). Let a(q) = 2*q**2. Give a(p(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -244, -245, -246?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001010100 - 1001001101111?\nAnswer: -101000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0*k - 7*k + 5 - 2*k. Let i(v) = -2*v**2 - 4. Let q(u) = -u**2 - 1. Let t(r) = -i(r) + 4*q(r). Give t(o(n)).\nAnswer: -162*n**2 + 180*n - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607878743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 0. Suppose -6*l + 4*l - 12 = x. Let i(g) = 5*g**2 + 4*g - 4*g. Let r(j) = -9*j**2. Determine l*r(o) - 11*i(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + -77. Let k = -186 - g. What is the least common multiple of 50 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-19)\/7 - (4 - 6)). Which is greater: q or -4.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**5 + m**3*p**2 + 8*m**2 - 769*m*p**2 wrt m?\nAnswer: 120*m**3 + 6*m*p**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 4bd3?\nAnswer: -4bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 159. What is the greatest common factor of 24 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 8*r + 6. Let y = 21 - 15. Let p(f) = f + 1. Let c be p(y). Let g(w) = -2*w**2 + 7*w - 5. Calculate c*g(i) + 6*j(i).\nAnswer: -2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -1424?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from acaqzjcq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*p + 278012 + 50016, 2*p = -5*f + 410007. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u + 40*u + 906 = -816. What are the prime factors of u?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5)\/n)\/n*n**(1\/4))\/((n**(-3)*n)\/((n**(1\/8)*n*n)\/n)) assuming n is positive.\nAnswer: n**(47\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 1, t: 7}. What is prob of picking 1 j and 2 t?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 29*l - 48. What are the prime factors of q(21)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 210? (a) -0.2004 (b) -6 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.322966 to two decimal places.\nAnswer: 11.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4035, -1\/6, -3\/7, -0.1, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 221.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 50 (b) -2\/11 (c) -12\/857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1504)\/144 - 363\/(-33).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/9 + 3045952*a\/9 = 0.\nAnswer: -3045952, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -36*p + 575. Calculate the least common multiple of 11 and c(0).\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -347*v**6\/6 - 239*v**3\/3 - 241. Find the third derivative of l(i) wrt i.\nAnswer: -20820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, p: 1, x: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 218 + -3174?\nAnswer: -2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/20)\/((-3)\/((-30)\/(-35))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 10. Suppose 3*i - 3*b + 18 = 0, 2*b - 23 = 5*i + 4*b. Let a be y(i). Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (7 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 1 + 3)*(11 + 23 + 3) + 1 - 3 + 1)*(-y**2 - 3*y**2 - 533 + 512) as i*y + s*y**2 + h and give h.\nAnswer: 1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.8. Let n(d) = d**2 - 15*d - 21. Let t be n(16). Which is the biggest value? (a) t (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**4 - 2*l**4 + 2*l**4 + 2*l + (l - l + l**2)*(-320 - 31*l**2 + 320) as f*l**4 + s + o*l**3 + y*l + z*l**2 and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 690 divide 2272860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*r - 6*r - 2*r + 6396 + 2475 - 27*r**2 + 9*r with respect to r.\nAnswer: -54*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/24*(-16)\/(-620)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830287185?\nAnswer: 3, 5, 7, 13, 608269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 5*c. Let o be a(4). Suppose -m = -0*m + o*w, -90 = 5*m + 2*w. Let f be 8\/m + 44\/10. Solve b = f*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:33 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 0.3, 2\/13, -251, -0.1 in decreasing order.\nAnswer: 4, 0.3, 2\/13, -0.1, -0.5, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(0 + 2*o**2 + 0) + 12*o**2 + 24 - 24.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872555, 872553, 872551?\nAnswer: 872549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32567 and 52.\nAnswer: 1693484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a factor of 2250010340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -803*y**4\/4 + 5*y**3\/3 - y**2 + 231. Find the third derivative of h(l) wrt l.\nAnswer: -4818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Let w = -107 - -91. Let z be 10\/4*w\/80. Put h, z, -1\/4 in increasing order.\nAnswer: h, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8\/3)\/a**8 assuming a is positive.\nAnswer: a**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3771 minus -1034.324?\nAnswer: 1034.7011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -19. Suppose 4*p = 4*x - x + 295, -l*p + x + 355 = 0. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 18*x**2 - 83*x + 101. What is the hundreds digit of n(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -437*a**2 - 8*a. Let d(c) = -2*c**2 + c. Determine -24*d(m) - 3*h(m).\nAnswer: 1359*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -2761, -9702, -23231, -45544, -78837, -125306, -187147?\nAnswer: -266556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 149 - 59 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**9\/13608 - v**8\/1890 + v**7\/945 - 23*v**3\/3 - 30. Let l(i) be the third derivative of u(i). Factor l(r).\nAnswer: 2*r**3*(r - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 3440?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - o = -6, -z + 4*o = -0*o - 14. Which is the second biggest value? (a) z (b) 5 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -105, -187, -269?\n\"Answer: -82*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -879559 and -4.\nAnswer: 3518236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 222?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -211\/4, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j**3 + 241*j**2 - 149*j + 51. Calculate n(16).\nAnswer: -2077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4748, -18976, -42686, -75878?\n\"Answer: -4741*v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41774122?\nAnswer: 2, 13, 19, 103, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122493819 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**7\/84 + s**6\/20 - 3*s**5\/40 + s**4\/24 + 16*s + 51. Let j(a) be the first derivative of k(a). Factor j(g).\nAnswer: -g**2*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -3, 292.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(-12*o**2 + 1 - 8*o**2 + 17*o**2) to m + x*o + t*o**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/((sqrt(110) + 2*sqrt(110))\/sqrt(10))*5)\/(1*sqrt(81)*-2 - sqrt(81)*1*1) + 0.\nAnswer: -5*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n**2 + 2*n + 16. Let y be f(2). What is the highest common factor of y and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 22*a - 8. Let z be b(-8). Let k = 596 + z. Calculate the remainder when 1379 is divided by k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 139*s - 3676. Let f be c(-104). Put 4, f, -18 in increasing order.\nAnswer: f, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 70 + 2*k - 53)*(2*k**2 - 5*k**2 + k**2) + 2*k**3 + 121 - 4*k**3 - 123.\nAnswer: -6*k**3 - 122*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + z - 443. What is l(0)?\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f = 0. Solve -4*a - 4 = -f*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 2*b**2 - 4*b**2 + (2 + 0 - 4)*(-b**2 + 2*b**2 + 3*b**2) - b**2 - b**2 - 2*b**2)*(5 - 2 - 1).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/92 and 133\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**19)\/(u**(-2\/13)\/u))\/(u**(-3\/5)\/u*u*u)**(35\/4) assuming u is positive.\nAnswer: u**(485\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248869 is divided by 616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = -4. What is the units digit of 36\/(-15)*(c - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -16*r**3 + r**2 + r. Let l be t(-1). Let f = l - 11. Suppose -105 = -f*b + 75. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026577 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -226273 less than 1.1?\nAnswer: 226274.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**2 - 6*t - 10. Let z(m) = -m - 3. Give -y(d) + 4*z(d).\nAnswer: 15*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 107*31\nAnswer: 3317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 3*q**2 + q**2)*(3*q - 2*q + 2*q - 2*q + 4*q - q + (3*q - 2*q + 0*q)*(4 - 4 + 2) - 4*q + q + 2*q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -17*o - 25. List the prime factors of q(-8).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678164 is divided by 4475?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 5*m**5 - 3*m**5 + (4 - 1 + 0)*(5 - 5 + 1)*(0*m**5 - 3*m**5 + 2*m**5).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/34)\/((-9)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.068 and 5.\nAnswer: 5.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*s + 19, -11 = -5*r - 2*s + 5. Solve 0 = 5*x - r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362 + 409. Let x(j) = -17 - 17 + 29*j - 12 + t. Calculate x(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 492\/156 - (-177)\/52. Let g(y) = -y**3 - 3*y**2 - 2*y - 4. Let v be g(-3). Is v greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000010111001101 - -101?\nAnswer: 110000010111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -148. Let d(k) = 38*k**2 - 208*k + 4. Let f be d(3). Let q = x - f. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-977461834)\/(-180) + 2\/(-9). Let p = -5442793 + i. Let z = p - -12460. Find the common denominator of 40 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -106. Let b(t) = -9*t - 7. Let j(v) = v + 1. Let g(z) = r*b(z) - 4*j(z). What is g(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 - 7283*g + 7321*g to the form a*g + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d - 3 = 0. List the prime factors of (1 - 3)*d + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*d = -0*l + 184, -4*l + 3*d - 249 = 0. Let k = l - -221. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3 - 4 + 2*b**2 - 9*b**2 + 5*b**2 - 5*b. What is the lowest common multiple of x(-2) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11893, 11883, 11859, 11815, 11745, 11643, 11503?\nAnswer: 11319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.86938 and 11.\nAnswer: -9.56318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15562577.\nAnswer: 19, 819083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104215133*l**3 - 2371*l - 145.\nAnswer: -625290798*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = 7*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972262 is divided by 6847?\nAnswer: 6835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 19*n**2 - 8*n + 136. Let y be w(19). What is the fourth biggest value in 9, y, -2\/3, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u + 10. Let h be l(-5). Let w = -32 + h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let x(a) = -a. Let n(j) = 2*m(j) + 6*x(j). Let u(f) = -12*f + 12. Determine u(n(t)).\nAnswer: 24*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222402659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8*k - 40. Let c = -7 + k. Let i = -363 - -375. What is the greatest common divisor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000212617 to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*d - 2 - 3 = 0, -3*d = -3. Solve -2*r = -h*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -29*m**3 + 3*m**2 + 4*m - 7. Is q(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/((-2)\/1))\/(5 + -3). Solve -3*f + 3*g - 21 + k = 0, 5*f + g + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q - 231. What is b(-33)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db + -23f7?\nAnswer: -24d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + -52 + (-1 - 1) + -19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 1530*k - 19845. Give y(13).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v + 99735 = 18693 + 456260. List the prime factors of v.\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 13*g + 30 = 0. Let f = 0.45 + -0.5. Let o = 0.25 + f. Which is the nearest to 2\/11? (a) 5 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 49. Let s = 52 + -75. Let r be h(s). Solve -2*q = 4*g + q + 4, 3*g + r = q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 - 101 - 217 - 369 + 4*z - 224 + 1133.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + 4. Let d(c) = -3*c**2 + 6. Let z(y) = 2*d(y) - 3*k(y). Let v(g) be the third derivative of 7*g**5\/60 - 20*g**2. Determine v(z(f)).\nAnswer: 63*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515867317 to the nearest integer?\nAnswer: 22713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j + 0*j - 80 - 4*j**2 - 17*j - 17*j.\nAnswer: -4*(j + 2)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2741 - 5710 + 2969 + 13*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 - 15*r**2 + 2*r**2 + 7*r**2. Let s(v) = -v**2 + v. Let g(b) = 16*b**2 - 12*b. Let w(u) = -2*g(u) - 24*s(u). What is o(w(n))?\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4888.0934 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170394 by 21.\nAnswer: 8114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1447\/8718 + 1\/1453. Let w(n) be the second derivative of -v*n**4 - 11*n + 0 + 0*n**2 - 1\/3*n**3. Suppose w(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -20*h. Let u(d) = -102*d - 1856. Give -5*c(x) + u(x).\nAnswer: -2*x - 1856","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**5*k + 15*g**3*k**2 - 3*g*k - g - 2*k**2 wrt g.\nAnswer: 120*g**3*k + 90*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 401\/2755 + 30\/551. Put o, 0.6, 116 in ascending order.\nAnswer: o, 0.6, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 4*s**5\/5 - 7*s + 7. What is the first derivative of a(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = -5, -2*j + 16 = w. Suppose 2*c = n + 30, -w*n + n - 6 = -c. What is the remainder when 30 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8074846 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 23, 144, -2?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3 = -7964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 47877*b**3 - 3*b**2 + 12*b**2 + 47897*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 2. Let u(q) = 7*q**3 - 1. Let b be u(1). Let y be (-9)\/(-12) + (-85)\/(-20). Let h = b - y. Give g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2473*p**4 + 9303*p**2 wrt p?\nAnswer: -59352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14073078 - 0.3?\nAnswer: 14073077.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2233\/(-924))\/(16\/(-192))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from vivivilvlviiiqiiivv?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 1151351323?\nAnswer: 1151351314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46\/143 - 3\/13. Let j = -0.1 - -0.2. What is the nearest to -2 in o, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {j: 1, v: 3, p: 2, r: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - q**2 + 1. Let a be y(2). Let t(o) = -8*o**3 - 6*o**2 - 7. Let v(k) = -k**2 - 7*k**3 - 6 - 4*k**2 + 0*k**2. Give a*t(c) - 6*v(c).\nAnswer: 2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + 6*sqrt(55)\/(sqrt(66)\/sqrt(6)*2)*-6.\nAnswer: -18*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 16*a + 39. Determine z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*i + 151 = 0, 0*i = -3*s - 4*i - 122. Let g = s - -49. Solve 3*z + 3*h = -15, -3*z + 2*h + 2*h - g = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:32 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(280) - -1*sqrt(280))\/sqrt(8))\/(-2*sqrt(1008)*-1).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4424*x - 203237. Determine m(46).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42587773863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -21*d**3 + 2*d**2 - 5*d - 8. Let x(f) = 20*f**3 - 2*f**2 + 4*f + 6. Give 3*v(b) + 4*x(b).\nAnswer: 17*b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 divided by -7?\nAnswer: -793\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + r**2 - r**2 + (-2 + 0 - 2)*(-2*r**2 + r**2 + 2*r**2 + (-r + r + 2*r)*(3*r - 5 + 5)) to the form b*r + t*r**2 + d and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27 - 74 + 24 + 24. Let d(o) = 3*o**3 - 9*o**2 - 12*o - 6. Let p(y) = d(y) + 6*q(y). Factor p(g).\nAnswer: 3*g*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.87 + 0.13. Let n = 13.5 - i. Put 0.5, 5, n in ascending order.\nAnswer: n, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -4705 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038291881 rounded to four decimal places?\nAnswer: -0.0383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q. Let i be 88\/(-20) - 3\/15*-2. Let u(t) = 21*t. Let k(n) = 24*n. Let p(a) = i*k(a) + 5*u(a). Determine 7*m(w) + 2*p(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 37. Let q be w(-5). Is (49947\/(-6))\/((-3)\/q - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 70380.\nAnswer: 70380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -308, -604, -900, -1196?\n\"Answer: -296*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7809 in -391, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4\/7 + 40779*b**3\/7 + 122163*b**2 + 1424889*b\/7 - 2320812\/7 = 0.\nAnswer: -13572, -19, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199476*v**3 + 18*v**2 - 15002345*v wrt v?\nAnswer: 1196856*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -699*f**5 - 2*f**4 + f**2 - 3*f + 2 wrt f?\nAnswer: -13980*f**3 - 24*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 - 139. Let w(p) be the second derivative of p**4\/6 + p**2\/2 - 8*p. Let i be w(-1). Solve 0 = -z - l, -i*z + l + r = -3*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3544173907 to the nearest integer?\nAnswer: 59533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228560 by -14285.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 4*v + 145. Let o be p(10). Which is the second smallest value? (a) 4 (b) -0.05 (c) 1\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + 74276 + 73945 - 148221.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 350 = -20*f. Let w(t) = -6*t - 75. Let u be w(f). Solve u*a = 6*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2869, 11503, 25909, 46099, 72085, 103879?\n\"Answer: 2*x**3 + 2874*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -17. What is the remainder when 27 is divided by 5 + l + 0 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 10*s - 21. Let v be k(-7). Suppose v = 5*a - 6*a + 1181. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -681*v + 239*v + 201*v + 241*v - 5*v**2 - 2. Let x(b) = -12*b. What is x(c(u))?\nAnswer: 60*u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667*t - 331*t - 10486 = 2874 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 129977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 369023\/95546 - -6\/4343. Let a = 40727\/18 - 2255. What is the common denominator of o and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h + 7. Let f(r) = 7*r - 103. Let a be f(15). What is the remainder when 27 is divided by n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*d**4 - 13*d**3 + 3*d**2 - 18743 with respect to d.\nAnswer: 56*d**3 - 39*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/20 + n**4\/2 + n**3\/2 - 7*n**2 - 18*n - 5. Give j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1095702 and 1?\nAnswer: 1095702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -75, -149, -249, -375?\n\"Answer: -13*u**2 - 9*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -27, -17, 9, 57, 133, 243, 393?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(12\/96).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.301 + -343.099. Let l = p - -345. What is the third smallest value in l, 8, -3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/((-120)\/(-12)))\/(2\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2046, -2207, -2368?\n\"Answer: -161*f - 1885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2905851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5)*o)**(-40))**(-11\/6)\/((o\/o**(1\/5))\/o**(-5)*(o*o**1\/o)\/(o*o*o*o\/((o\/(o\/o**1))\/o)*o)) assuming o is positive.\nAnswer: o**(871\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4*6*(-1 + sqrt(325))*-3 + -4 + 3)*-6)**2.\nAnswer: -1840320*sqrt(13) + 60834276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {r: 17, x: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-32)\/12)\/2)\/(3\/(-9)). Let t(q) be the second derivative of -3\/2*q**2 - 1\/15*q**6 + 0*q**3 + 0 + 0*q**5 + q + 0*q**h. Differentiate t(s) wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*l**2 + 28*l + 2*l**3 - 511*l**2 + 275*l**2 wrt l?\nAnswer: 12*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27735375?\nAnswer: 3, 5, 73961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.41 + -0.59. Let r = t - -46.0000172. What is r rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b - 23*b**3 - 23*b + 50*b.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-81)\/54)\/(1 - 14\/8). Let w be 68\/(-51)*((-59)\/r + -2). Let g(f) = 52*f + w*f + 45*f - 136*f. Give g(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**5\/60 - 5*g**4\/12 - g**3 + 199*g**2\/2 + 122. Let v(r) be the second derivative of d(r). Give v(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750987274 to the nearest integer?\nAnswer: 27404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 + 374*d**4 - 668*d**2 wrt d.\nAnswer: -60*d**2 + 8976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 318 + -313. Suppose -2*p + 18 = p. Let h(g) = -1 - g**3 - p*g**2 + g**2 + 2*g**3 + g. Determine h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/4 - 155001*c\/4 - 3641419\/2 = 0.\nAnswer: -154954, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6950745 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*f - 1 + 12, -5 = -3*f + i. Let k(r) = -f + 4 - 2 - r. Let v be (-120)\/(-150)*(-15)\/(-2). Calculate k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-10 + 8)\/(0 - -2)). Suppose -v + 23 - 6 = l. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 5*l + 13. Let w be 1289\/13 + 279\/(-39) + 7. Suppose 3*t + 8*t + w = 0. Determine o(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349301?\nAnswer: 23, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 16*q - 17. Let o be j(7). Suppose 3*x = 4*x + 5, -3*p = 5*x + 25. Does 3 divide p + 27 + (o - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(2\/(-12)). Let y(t) = -t**3. Let n(i) = 4*i**3 + 3*i**2 - i. Let a(c) = -n(c) - 3*y(c). Let z be a(-3). Put 4, z, h in increasing order.\nAnswer: z, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -21 + (-2 - -89) + 74 + -79?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:04 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 + 0 = 4*o, 3*o - 14 = 2*b. Let j(f) = -2*f + 1. Let y be j(2). Let v be 4\/(-6)*(-9)\/y. Is b greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3179753380 to the power of 1\/3, to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 8*t**2 + 76*t + 562. Let p be q(-10). Solve 4*x + 16 = -p*k, 2*k - 89 + 65 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/17 - (-1 - -1). What is the remainder when 12 is divided by 1 + (4 - p) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((12\/15)\/4). Let p be (-2)\/(-1) + -4 - c. Suppose -p*a + 72 = -4*q, -5*a + 2*q = 3*q - 97. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -225\/4 - 1\/4*r**2 + 15\/2*r = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*w**2 + 6*w**2 - 9*w**2 + 5*w**2 - 3*w**2 + 0*w**2 + (-1 - 2 + 5)*(-6*w**2 + 3*w**2 + w**2).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4 = -21, 0 = -5*x - 4*t + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25786240 rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, 2\/9, 111, 3, 0.4, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4759 - 4759 - 27*n + (-5*n + 4*n + 3*n)*(0 - 4 + 3).\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11649 and 799.\nAnswer: -9307551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 24. Let y(t) = -2*t**2 - 44*t - 20. Let o be y(-21). Let a = d + o. Solve a*m - m = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69226896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32310480*o**2 + 25149808*o?\nAnswer: -64620960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*g**3 - 4520091*g**2 + 452564250 wrt g?\nAnswer: -24*g**2 - 9040182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 898264, 898263, 898262, 898261, 898260, 898259?\n\"Answer: -r + 898265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 187*s**2 + 64*s + 802. Does 252 divide h(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 3. Let o(y) = 3*y - 2. Let m(u) = -3*o(u) + 2*t(u). Let i(k) = k**2 - 8*k + 9. Let l be i(7). Let q(c) = 3*c - 2*c - l*c. Give m(q(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g - 41. Let u(a) = -6*a + 13. Let j(c) = 8*u(c) + 3*y(c). Calculate the remainder when 34 is divided by j(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1005, -1057, -999, -705, -49, 1095?\n\"Answer: 21*c**3 - 71*c**2 + 14*c - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61682.\nAnswer: 2, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2499*d + 1242 - 2419*d - 1240. Let s(w) = -2*w. What is s(a(r))?\nAnswer: -160*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 3321515?\nAnswer: 3321453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*w + 754, -5*v + 1267 = -6*w + 8*w. List the prime factors of v.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944 + 3*p**3 + 4*p**3 - 944.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4542639684 and 316?\nAnswer: 4542639368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 31*o**2. Suppose 48 = -6*s + 72. Let t(n) = 3 - s + 1 + 2*n**2. Determine r(t(x)).\nAnswer: 124*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152033 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 1832109*h**2 - 279684718560*h + 10350842895900 = 0. Calculate h.\nAnswer: -305370, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -370649 times -39.2?\nAnswer: 14529440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*(w**(4\/9)\/w)\/w)\/w*w*(w*w**(-2))\/w*w*((w*w**(-1\/33))\/w)\/(w*(w*w\/w**(-14))\/w) assuming w is positive.\nAnswer: w**(-1642\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 73 - (-2 + -1)) + 27.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfkar. What is prob of picking 1 k and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -49*f**6\/120 + 119*f**3\/6 + 16*f**2 - 1. Find the first derivative of h(d) wrt d.\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*r - 5*u, 0 = 2*r - r - 5*u - 29. Let b be -4*((-165)\/(-6) + r). Let m = -44 - b. What is the remainder when m is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -158, -179, -202, -227, -254?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.4152ng in grams?\nAnswer: 0.0000006704152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b - 56. Give t(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-4 - -1)*1. Solve d*w - 4 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {k: 5, y: 1, j: 1, v: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 102987700 to the nearest 1000000.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n - 36. Let j(i) = -i**2 - 2*i + 19. Let o(q) = 11*j(q) + 6*p(q). Let b(g) = 6*g - 1. Let k be b(1). Calculate o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -268*x - 6165. Calculate h(-11).\nAnswer: -3217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 895303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkd. Give prob of picking 2 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(64\/(-66) - -1). Let w = c + 117. Let s = 27 - 6. Calculate the highest common factor of w and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1408748, -1408749, -1408750?\n\"Answer: -m - 1408747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37711 - 37717. Which is the second smallest value? (a) -0.3 (b) -810 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18073*j**3 + 9077*j**3 - 4*j**6 - 8*j**6 - 497*j**2 + 9017*j**3 wrt j?\nAnswer: -1440*j**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210362270 + 0?\nAnswer: -210362270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + 0.067?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b + 76. Let t be y(9). Let d be (-2)\/5 - (-2)\/(t\/(-135)). Solve -x = 0, 0 = -d*w + 3*x + 2*x + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.9 in -1\/8, 1, -4, 6, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(1\/(-20)). Let d be (-15)\/25 - 53\/(-5). List the prime factors of 4\/d - 36\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*y + 4*y - 721 + 811 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j - 44. Let a = 41 + j. Solve -3*l + a = 5*u + 2, -l - 5*u + 19 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/666)\/((-2)\/6 - 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -210.76, -17\/2, -2\/9 in decreasing order.\nAnswer: -2\/9, -3, -17\/2, -210.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:14 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 85, 5, -5 in descending order.\nAnswer: 85, 9, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 24 + 227)*(3*i + 4*i - 6*i) - 11*i - 3*i + 0*i as w + u*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/75 and -97\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ery when three letters picked without replacement from {e: 3, r: 5, y: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*c + 4*c - 123, 3*r - 3*c = -123. Let a = 46 + r. Calculate the smallest common multiple of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 119.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 - -2 - -8*15\/5 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d + 7. Let n be o(4). Is 8 a factor of 296\/10 + (-10)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673235 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*k - 24*k**3 - 109*k)*(2*k**2 + 4 - 4)*(-3 - 11 + 0).\nAnswer: 672*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 26. Suppose 0*l + 2*l = m + 196, 5*m = -4*l + 406. Let k = l - u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9 + 10*r**2 + r**3 + 0*r**3 - r - 10 + 6*r**2. Let y be v(-16). Let l = 5 + 0. Put l, y, 3 in decreasing order.\nAnswer: l, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -405 + 606. List the prime factors of l.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l - 20. Let q(h) = -169*h**2 - 4. Let g(z) = -296*z**2 - 2*z - 8. Let i(c) = -4*g(c) + 7*q(c). Give i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 9*p**2 - 3*p - 8. Let y be b(-4). Let f = -18 + y. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -30, -35, -42, -51, -62, -75?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 9. Calculate s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4\/10 - 3*f**2\/5 - 4*f\/5 - 12. Factor v(u).\nAnswer: 2*(u - 2)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/124511 and 32\/623?\nAnswer: 871577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, 4, 92, 227 in descending order.\nAnswer: 227, 92, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*y + 6, 0*x + 3*x - 6 = -2*y. Let q(v) = -v + 4. Let h be q(3). Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36*24\/648)\/((-2)\/(-24))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) - 26\/5. Put -0.2, s, 3 in increasing order.\nAnswer: s, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 12:55 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 7*k**2 + 17*k + 14. Calculate t(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n - 0. Let c(d) be the first derivative of -4\/5*d**5 + 0*d - 1\/3*d**n + d**2 + 1 + 4\/3*d**3 + 0*d**4. Suppose c(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 22. Let t be (2\/2 + -1)\/v. Suppose 0 = -t*i + 5*i - 240. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -2*p**3\/3 - 3*p**2 + 7*p. Let q be r(-5). Calculate the greatest common factor of q and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -6885 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4527.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8558, 3741, 16042, 28345, 40650?\n\"Answer: m**2 + 12296*m - 20855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24180342 and 15.\nAnswer: 120901710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + (-4785)\/10)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 57. Let p be v\/6*(-9)\/(-6). Let m(s) = -s + 11. List the prime factors of m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**4\/12 - y**3 - 3*y**2. Suppose -11*d + 7*d - 16 = 0. Give b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1799, 5, 20, -3, -30, 0.\nAnswer: -1799, -30, -3, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/27)*l)\/(l\/(l\/l**(-2\/9)*l)))\/((l\/(l\/(l*l\/(l*l\/(l*l**(-2\/9))*l*l*l)*l)))\/l*l**(3\/7)*l*l))**(-27\/7) assuming l is positive.\nAnswer: l**(-374\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 87487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 46*y**2. Let n(t) be the second derivative of 7*t**4\/12 + 3*t**2 - 6*t. Let k(f) = 8*f**2 + 7. Let b(m) = -6*k(m) + 7*n(m). Give x(b(h)).\nAnswer: 46*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 2429493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = d + 2, -5 = d - 5*m. Suppose -64*x = -296 + 40. Suppose -3*c = 5*j - 40, -15 = j - d*c - x*c. Solve j*h = 5*y + 10, 2*y = -h - h + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/446587 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (123 + (29 + -12 - 25))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)*h\/h**(2\/13)*(h\/(h*h\/h**(-1))*h)**20)**(-45) assuming h is positive.\nAnswer: h**(46575\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c + 5. Calculate i(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4366 + 2.4. Round d to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvokuoonvku. Give prob of sequence kono.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3 - 2*l**3 + 4*l + 32*l + 5*l**3 + 82*l**4 + 3*l + 7*l**2 wrt l.\nAnswer: 1968*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o**2 + 3*o + 7. Let a be y(-3). Let x = -165 + a. Solve x*h + 27 = 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 14*q + 8. Let j(w) = -5*w**2 + 14*w - 7. Determine -6*d(m) - 5*j(m).\nAnswer: -5*m**2 + 14*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, w: 3, y: 1, o: 6}. What is prob of picking 1 o, 2 v, and 1 w?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.645 + 0.645. Which is smaller: 3\/10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, 307 in decreasing order.\nAnswer: 307, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 85. Let g = 190 + -82. Calculate the remainder when g is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 6*j - 314 = h - 19*j + 34*j, -5*h - j + 42 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 418845080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87678214*n + 4 - 4 + 87678214*n - 9*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 108600 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -36. Let m = t + 3. Suppose m = c + 4*c. Is c at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*1)\/sqrt(5) - (2 + sqrt(475)).\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*297\/132*2\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 2.8.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -28*g + 9, 5*u = 2*g + 99. Solve u*p - 14*p = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*i**3 + 51*i**2 + 72*i.\nAnswer: -3*i*(i + 1)*(7*i - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85038353 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l, 19 = 5*t + 4*l - 7. Suppose -p = -t*p + 10. Calculate the smallest common multiple of 1 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/16))\/v*v*(v\/(v*v\/(v*v**(1\/15)\/v*v)*v))\/v*(v**14)**(-22\/7) assuming v is positive.\nAnswer: v**(-10829\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 4 - 2 - t**4 + (-3 + 3 + 2*t)*(t - t - 2*t**3) - 2*t**4 + 2*t**4 + t**4 + 0*t**4 - t**4 + 2*t**4 - 5*t + 5*t - 2*t**4.\nAnswer: -6*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4385, 5711, 6985, 8207, 9377, 10495?\n\"Answer: -26*m**2 + 1404*m + 3007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -0.5, 2200, 0.7, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -57012310 and -57012310 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197118.9 rounded to the nearest 1000?\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 25\/38?\nAnswer: 25\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q + 18*q - 1019 + 1019 - 43*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -23*c + 138*c + 58813110. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from {p: 9, z: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*12831\nAnswer: 39776.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 1296\/112)*2\/(-20)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 17. Suppose 212*x + 8001 = k*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -1867, -3621, -5375, -7129?\nAnswer: -8883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 570808.\nAnswer: 570808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 15) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (0 - 113\/(-2))*16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 - 3 = 0. Suppose -28 = -2*d - o*w, -d + 5*w = d + 4. What is the greatest common divisor of d and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369*l**3*v**2 - 125*l**3*v - 14237*v**2 - 2 with respect to l.\nAnswer: -1107*l**2*v**2 - 375*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + 20. Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171) + 3)**2*-5 - (3*(-5 + -2*sqrt(304)))**2.\nAnswer: -12104 - 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.2. Let o be 7918\/(-6902) - -3*(-1)\/(-3). Let g = -6\/203 - o. What is the biggest value in y, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/83369 and -49\/220?\nAnswer: 1667380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -658088.\nAnswer: -9\/329044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 43*d - 38. Calculate the remainder when 957\/15 - 3\/(-15) is divided by z(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3803 times -33416?\nAnswer: -127081048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 6\/(-12)*16. Suppose -r = 4*g, 0 = 4*r - 2*r - 5*g. Suppose r = o*q - 114 - 576. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 19 = -3*z - 5*s, s + 1 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 1278213?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 20. Suppose 3*m - 9 = p, -m = -5*d + 16. Let f be (-102000040)\/30 + d\/3. What is f rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -114 + 316 + -68?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:40 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**2\/2 - 4. Let w(o) = -5*o. Let t(y) = 4*f(y) + w(y). Let v(g) be the second derivative of -g**4\/12 + g. Give t(v(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1430 (base 14) to base 11\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:07 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7469187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from sstzsmmmssctsz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/691 or 9.442?\nAnswer: 2\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2069449648 to four decimal places.\nAnswer: -1.2069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s + 5. Let y be (s + -69)\/(-2) + 2. Suppose y - 128 = -5*i. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i + i - 3*i)*(161*i + 125*i - 229*i).\nAnswer: 513*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 4*i**2\/3 + 7*i\/3 - 10\/3.\nAnswer: -(i - 5)*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 37 + (-2 - (-2 + -2)). Let r = 37 - z. Find the common denominator of -35\/3 and -4 - r*13\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12619 is divided by 6080?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 26. Let t(u) = -u**2. What is n(t(p))?\nAnswer: -2*p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**2 + 0*j**2 - 2*j**2)*((-j - 1 + 1)*(-2 - 3 + 7) - 4 - j + 4 + 10*j - 3*j - 5*j).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = m - 24. Is (36\/m + 11)*238\/4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, -7, -47, -115, -217, -359, -547?\n\"Answer: -v**3 - 5*v**2 + 4*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15999 - 10368 = -3*v + 3*g, 4*v = -4*g + 35188. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -0.4 (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 10 - 7 - 4 - 3*a**4 + 3*a**4 - 4*a**4 + (2*a**2 - 4*a**2 + a**2)*(-3*a**2 - 3*a**2 + 5*a**2).\nAnswer: -4*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 65 - 17*c + 42.\nAnswer: -21*c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/13 - 941731552*k\/13 + 110857289504041088\/13 = 0. Calculate k.\nAnswer: 235432888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -9. Let y be 40\/16 - h\/(-2). Let i be (1 - -942) + y + -5. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + q + 17 = -6*p, -24 = 3*p - 4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 345 + -264. What is the greatest common divisor of 297 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(-1*sqrt(11)))**2 + sqrt(78)\/sqrt(216).\nAnswer: sqrt(13)\/6 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -6056636954.4511.\nAnswer: -6056636958.4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1547 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 1442 + 1474 = 0. Let a(s) = s**2 + s - 1. Let b(f) = 3*f**2 + 5*f - 8. Let t(h) = -4*a(h) + b(h). Give t(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314 - -578. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5 and 24892 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 8*c**2 + 7*c + 1. Let k be f(-9). Let i(n) = 35*n**2 + 2*n - 18. Is i(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.1 (c) -6 (d) -0.05 (e) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - -17b728?\nAnswer: 17b749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -353 + 705\/2. What is the nearest to 0.1 in v, -1\/10, -0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 5, r: 4}. What is prob of sequence xkr?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 41188236 divided by -24708\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 51*t**2 - 26*t - 17. What are the prime factors of z(-7)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/15*-3*(-4)\/8*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.84 * -0.2.\nAnswer: 0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 90445*b - 13035880.\nAnswer: 5*(b - 18232)*(b + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9468 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 33*d**3 + 361*d**2 - 20*d + 13. Let l be p(-11). Let r(g) = -5*g**2 - 9*g - 49. Let v(z) = 2*z**2 + 4*z + 25. What is l*v(o) - 4*r(o)?\nAnswer: 2*o**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -3*t + 15, -25 = 4*c - 5*t. Suppose -7*s + 8*s - 3 = c. Let z(u) = -u. What is the remainder when z(-6) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -138 (b) 2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/15 - -3\/10. Let d(s) be the second derivative of -k*s**3 + 0 + 0*s**2 - s. Let a(v) = 2*v. Calculate a(d(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51100254 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/7 - 90824*p\/7 - 1031124872\/7 = 0.\nAnswer: -22706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(19) + 3)**2 + sqrt(57)\/(sqrt(6)\/(sqrt(6)\/sqrt(3))) - 2*(((sqrt(95)*-2 + sqrt(95))\/sqrt(5) + 3)**2 + 5).\nAnswer: -43 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4236303428?\nAnswer: 2, 7, 2999, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 532?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416966 is divided by 104241.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*k)*(-3885 - 373*k**3 + 3894 + 366*k**3).\nAnswer: -14*k**4 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3766 + 29384 = -2*c, 0 = -3*q + 4*c + 24865. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1585*p**3 - p**2 - p + 1. Let x be j(1). Let v be 6\/14 + -2*x\/14. Let f = v + -46. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.688 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(-36\/5) assuming s is positive.\nAnswer: s**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 116. Suppose 18 = -c - 3*x, 0 = -5*x + 20 - 5. Let g = -19 - c. Calculate the greatest common factor of g and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -38. Let o be -2 + -2 + 45\/(-5). What is the closest to -0.1 in o, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162554479 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/51)\/((-5)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n\/(n*n**(-4\/7)\/n))*(n\/(n\/((n*n**(-2\/3)\/n*n)\/n))*n*n)**39)\/(n\/n**(-2\/3)*n*n*n**(-7\/2))**(1\/24) assuming n is positive.\nAnswer: n**(50537\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 1. Let p(y) = y**2 + 18*y + 35. Let w be (-122)\/8 + 75\/(-100). Let g be p(w). Determine t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 18 + 4)*(y - 2*y + 3*y)*(y - 18*y + 5*y).\nAnswer: 528*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -5*u. Is 3 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20.0623 * 0.05\nAnswer: 1.003115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f. Let k(u) = -7*u. Let s(l) = -6*k(l) - 10*t(l). Let x(p) = 4*p + 0*p - 5*p. Calculate s(x(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-728)\/52*(-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + b + 41*a - 31*a = 184, -2*b + 2*a - a - 26 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*-9*8\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1034 - 71*j**3 + 7491*j**2 - 4321*j - 13372 + 3*j**4 + 7822*j - 10116*j - 226*j**3.\nAnswer: 3*(j - 49)**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 0*j**2 - j**2 + (-5*j + j + 6*j)*(6 + j - 6) + 24 - 54 - 48 - j**2.\nAnswer: 2*j**2 - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911)*-2*6 + sqrt(1911))\/((-4*sqrt(81))\/sqrt(3)).\nAnswer: 77*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7811*b*i*j + 2*b*j - 3*i*j + 2780*j + 1 with respect to i.\nAnswer: 7811*b*j - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 11:04 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 2305581.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-10)\/20)\/((-4)\/(-528)*-1) is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 10*w + 361. Is o(54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2830 and 41\/14150?\nAnswer: 14150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3524*f**2 + 802*f**2 + 2425*f**2)*(-5*f + 4*f - 3*f).\nAnswer: -27004*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -134*2\/36*3\/(-15) and 33\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 0*z + 0*z**3 + 6 - 2*z**2 + 3\/4*z**4. What is the second derivative of d(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 7*p. Let j be d(-5). Which is the smallest value? (a) j (b) -0.16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.05465687 rounded to four decimal places?\nAnswer: -9.0547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)*(-1 - -2). Let o = f + 0. Suppose o*v + v - 50 = 0. Calculate the highest common factor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 3583.\nAnswer: 32247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -108370 - 6?\nAnswer: -108376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -369 - -701\/2. What is the common denominator of u and -59\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62345930 bigger than -62345933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0666 and -1.\nAnswer: -0.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 6*g - 7. Suppose 6 = u + 4*r, 18 = -0*u - 2*u + 2*r. Determine t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 6. Let w be j(3). Suppose w*k = k - 83. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -449 divided by -93291\nAnswer: 449\/93291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 474 - 476.01. Let j = 0.01 + z. Sort -5, j, 1.\nAnswer: -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*x - 10 = 11, 24 = 5*u + 2*x. Suppose 3*q = 5*d - 967, -2*d + 2*q - 778 = -u*d. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2643, -6272, -10787, -16188, -22475, -29648, -37707?\n\"Answer: -443*z**2 - 2300*z + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46852.\nAnswer: 2, 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32266 and 584?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10063 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45.29577m?\nAnswer: 45295770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/7 - 174*u**4\/7 + 550*u**3\/7 + 894*u**2\/7 - 548*u\/7 - 720\/7 = 0.\nAnswer: -90, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193666 is divided by 1218.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14447\/3 + -4747. Let h = -68 + z. What is the third smallest value in 1\/6, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, i: 2, a: 1, w: 1, b: 1, d: 12}. What is prob of picking 1 a and 1 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 62 (b) -5 (c) 11\/3 (d) -0.2 (e) 46\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 + 118. Sort 3, 2, -9, r in increasing order.\nAnswer: -9, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, 0.3, -0.04, -1\/2, -4.94, 0.2059?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10732 is divided by 3558?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -19015 at least as big as -361262\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1213 + 2978 + 1899)*(2*h - 5*h + 4*h).\nAnswer: 6090*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -99350 and -492.\nAnswer: -99842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 8) to base 7\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 16\/10)*(-70)\/(-21). Let d = 25 + -25.3. What is the closest to d in 2\/7, -5, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2554339691 to the nearest integer?\nAnswer: 50540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:46 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-745104)\/30960 + 3\/45?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66816 divided by 4176.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (2 - -14 - 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*5*((-14)\/(-10) + -1). Suppose -999 = o*i + 201. Let n be 1\/3 + i\/24. Let x(a) = -a**3 - 9*a**2 - 8*a + 4. Give x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -1294189723.\nAnswer: -1294189725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -137.7. Let i = 17 - 41. Let f = i + h. Which is the nearest to 0? (a) f (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 23*q = -7436. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*v = 111038 - 116462 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -117. Solve 2*c = -0*c + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -108. Let q = 23 - 14. Let n = q + d. Solve -n*v = -9 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 3. Let x be i(0). Suppose -x*o + 36 = -3*p, -p = 2*p. Solve -2*t + l = 3*l - o, -21 = 4*t - 5*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i - 10. Let g(j) = -62*j - 3133. Determine z(g(n)).\nAnswer: -434*n - 21941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 94, 258, 574, 1090, 1854?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 19*o - 18*o - 845, 2*o - 1693 = -x. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 74. Suppose 28 = q - o*c - 48, -5*q + 5*c + 370 = 0. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/42 and (296\/9324)\/(14\/(-996)*-4)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -1018, -2061, -3460?\nAnswer: -5215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8778 is divided by 590.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 16965?\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, 1, -5 in ascending order.\nAnswer: -68, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 243525120?\nAnswer: 243525100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 14*o - 7. Let t be k(-14). Let m = 11 + t. What is the units digit of m*((-3)\/3 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*195906.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4867*z - 3*p - 10 = 4866*z, -12 = 3*z + 5*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + s**2 + 3*s + 4. Let c be d(3). Let b be 4\/10 + 67\/c. Let v be -7 + (-10 - (-15 + 10)). Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 5624511?\nAnswer: 5624512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 26. Let a(r) = c + 73*r + 33 - 94*r. Is a(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 13*j**2 - 11*j + 14. Let p be n(-12). Solve 3*h - 4*h = -5*s + 7, -p = -2*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17163707 and 3.\nAnswer: -51491121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53097018 divided by -1794.\nAnswer: 29597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v**2)*(v**2 + 4 - 4) - 3*v**4 + 3*v**4 - v**4 - v**4 + 7*v**4 - 3*v**4 + (-2*v**2 + 0*v**2 + 7*v + 4 - 6*v)*(-4*v**2 + 3 - 3).\nAnswer: 12*v**4 - 4*v**3 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 10. Let v be l(-3). Let d(i) = 3*i + 3. Let b be d(-2). Let p be b\/(-7) - 172\/(-7). Solve -p = 2*n - v*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 3. Let x be n(-6). Let h = x + -13. Factor 2*j**2 + 2*j**4 - 4*j**3 + 2*j**3 - h*j**3.\nAnswer: 2*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15*z**(-6))\/(z**(-2\/9)\/z*z*z**(-3)*z) assuming z is positive.\nAnswer: z**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -709, -701, -685, -661, -629, -589, -541?\n\"Answer: 4*x**2 - 4*x - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -379 - -402. Solve 0 = 7*t + 2 - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2802 (base 9) to base 6.\nAnswer: -13432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1318 = -11285. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w + 21. Let y be (0 + 2\/(-2))*1. Let j be (2*y - w)\/1. Solve -j*m = k - 12, -k + 0 = 4*m - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 2*k - 4. Suppose 4*y + 0*y = -16. Let m be f(y). Suppose m = 14*r - 9*r. Solve 2*x = 3*x - r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*v + 114 + 55 = 9. Let f(c) be the first derivative of 4*c**3\/3 - c**2\/2 - c + 2. Give f(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/2 - -2)*4. Suppose 0 = 5*o - y - 23. Suppose 35 = 2*v + o. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.3 and 1125283.502.\nAnswer: 1125271.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 659786877 and 2862.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 + 2*v**2 - 12*v**2 + 6*v**2. Let h(t) = -14*t. Give r(h(j)).\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 at least -7.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose 4*i = 5*i. What is the second derivative of -g**5 + g + i*g**x + 0*g**4 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 34*n**3 + 321 + n - 24*n**3 - 29*n**3.\nAnswer: -19*n**3 + 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 222 (b) -4\/9 (c) 23 (d) 179 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 737347811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.036145 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/40 - o**5\/4 + 3*o**4\/4 + 48*o**2 + 6. Factor c(p).\nAnswer: -3*p*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.2 - -0.2. Let y = -5 + 5.8. Let q = 0.5 - y. Sort h, 4\/7, q in increasing order.\nAnswer: h, q, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/14)\/((-20)\/64)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-49)\/28*(-1 - 3). Let x = n + -2. Suppose x*r + 2 - 47 = 0. What is the remainder when 25 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460 and 141380356?\nAnswer: 706901780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/9 - 32*p**3\/3 - 92*p**2 + 864*p - 1458 = 0 for p.\nAnswer: -27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a. Let c be f(-1). Suppose c*n = 5 - 0. Let k = 2 - n. Let j(m) = m**3 - m + 1. Let i(t) = 3*t**3 - 3*t + 5. Give k*i(b) - 5*j(b).\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3498561448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-14)*j)*j)\/(j**(1\/11)\/j*j*j))\/(j**(-6)\/j*j**(-30)) assuming j is positive.\nAnswer: j**(571\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5 + 2596\/110. Solve -p*u = -21*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0894 + -0.09654. Round l to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-546)\/6370.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -68840 + 68832 + 6*g**2 + 4*g**2 + g**3 - 15*g - 5*g**2. Let y be a(-7). Let t = -3 - -5. Sort -4, t, 3, y in descending order.\nAnswer: 3, t, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 282*a + 290*a + 126 + 129*a + 408 with respect to a.\nAnswer: 701","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 bigger than 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63630, 46 in descending order.\nAnswer: 63630, 46, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 28 = -62. Solve -g*o - 10 = -5*w + 4*w, -4 = 2*o + 3*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 2. Let z be j(1). Suppose -3*x + 12 + z = 0. Solve -2*y + x*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94557367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -2726, -6125, -10880, -16991, -24458?\nAnswer: -33281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmk. What is prob of sequence fk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 greater than 290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*k + 10. Suppose 21 = -8*w + 53. What is the remainder when k is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 2*y + 9*v - 14, -4*v + 3 = -3*v - 4*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -70. Let n = h + 2. Suppose -9*c - 9 = -6*c + 3*f, -2*c - n = -5*f. Which is smaller: c or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u - 3. Let a be j(10). Suppose -228 = 455*y - 457*y. Let l = a + y. What is the highest common factor of 248 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 3*h + 16. Let v = -8 + 2. Let y be a(v). Sort -7, y, -3 in descending order.\nAnswer: y, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214410935*o**2 + 5205028*o.\nAnswer: -428821870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 10*h + 1 - h - 1 + (-h + 4 - 4)*(-1 + 4 - 1) + 3*h - 4*h + 2*h - 5 - 5*h + 3 + 13 to the form c + i*h and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -181*x + 131. Calculate h(2).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.5 + -43. Let q = -36 - l. Which is the biggest value? (a) -5 (b) q (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/16*-14*(-124)\/(-3) a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -387 - -191. Let n = 196.01 + w. Let l = -0.5 - -0.5. Put -0.1, -1, n, l in descending order.\nAnswer: n, l, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 8*s**2 - 7*s**2. Let h(z) = 48 - 29 - 2*z + z - 19. Determine k(h(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*l + 2, -3*j - 9*l + 4*l + 4 = 0. Let c be (-12)\/(-9) + j\/(-3). Is (-1310)\/(-5)*c\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1406 or -655?\nAnswer: -1406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 (base 7) in base 16?\nAnswer: 39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snsnnsnononjybb. What is prob of sequence non?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18850 + 18868. Solve 5*y - k - 21 = 0, -19*y + p*y = -4*k - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 10\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a + 17. Let v be y(0). Let s = v - 11. What is the second derivative of r**2 + 4*r + 6 - s wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*r**2*u**2 + 6*r**2*u - 2*r**2 - r*u**2 - 2*r*u wrt u.\nAnswer: -44*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4 (c) -2 (d) 7 (e) -19 (f) -35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*j + 15, -j + 24 = -3*r + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17197027 is divided by 3947.\nAnswer: 3895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 9. Solve 4*a - w = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 164*p**2 + 57)*(-p**3 + 3*p**3 - 4*p**3).\nAnswer: 328*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1666*s + 4995. Calculate x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -6*q + 10. What is the derivative of -26 - q*x - 22 + 3 wrt x?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*k + 536 = 145, -5*h - 3*k = -1938. Let t = -384 + h. What is the least common multiple of t and (-16)\/(-7) + 16\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 14. Let l be 1 + (-6 + f - -111). Suppose -802 = -5*z + x, 0 = -z + 5*x + l + 36. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1 - 1. Let h(w) = 2034*w + 8. Let i(d) = -203*d - 1. Let s(a) = h(a) + 10*i(a). Give s(j(z)).\nAnswer: -8*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 982 + -985. What is the second smallest value in u, -2, 2\/7, 1, 109?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(264))\/sqrt(8))\/(sqrt(11) - 3*sqrt(704)).\nAnswer: sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 + -130. Solve -j*n + 5 = 3*c, c - 3*n - 4 = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21646 and 310154?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzyy when four letters picked without replacement from mmiyzmmi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 135?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-8 - 7) + 21 + -27 + (28 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/367 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5260192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 550?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + q + 699 = 0, 704 = -2*l + 7*l + 4*q. Let m = l + -136. What is the derivative of -16*t**2 - 13*t**2 - 30 - t**2 + m wrt t?\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2499.09 months to years.\nAnswer: 208.2575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/33)*s**22)\/(s*s**5\/s*s**40) assuming s is positive.\nAnswer: s**(-728\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 6*z + 18*z = -240 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 25*f**3\/3 - 7*f**2\/2 - 5*f + 62. Let s(y) = -33*y + 5. Calculate -5*b(d) - 7*s(d).\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/((-2)\/(-2)). Let t(a) = -a**3 + a**2 + 2*a + 1. What is the units digit of t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5)\/v**1)**32)**(-16) assuming v is positive.\nAnswer: v**(4096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100753, 104927, 109101, 113275?\nAnswer: 117449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.46015 - -0.10575. Round v to one dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 454 + -451. Solve 22 = 3*b - 2*c - 2*c, q*c = b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + x)*(-2*x - x + x)*(2*x + 0 + 0).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/77 - 180\/990.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -5 - 2 - (1 + -79). What is the highest common divisor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13881968 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 11:36 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -8, 22, 6, -4, 1 in increasing order.\nAnswer: -143, -8, -4, 1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1071 (base 9) to base 4\nAnswer: 30121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x - 70 = 14*x. Let s(b) = b + 12. Let j be s(-8). What is the greatest common factor of j and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 223, 884, 1981, 3508, 5459, 7828?\n\"Answer: -q**3 + 224*q**2 - 4*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335.386 years in centuries?\nAnswer: 23.35386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*(6\/(-3))\/2. Let t = 14 + h. Solve 0 = 5*x + t*i - 19, 4*x = 8*x + 4*i - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jenxq. What is prob of picking 1 n, 1 q, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.63738um in centimeters?\nAnswer: 0.007263738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35136*g - 3127 + 3127 - 35300*g.\nAnswer: -164*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7 + m**2 + 0 + 0*m**2. Let b be g(-6). Suppose -4*v + b = 11. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4475075 and 5225?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 0*x = -2*x - 10, -5*x - 14 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Let b(w) = z*w**2 - 2*w**2 + 31*w**3 - 6*w**2 - 32*w**3 - 7*w - 11. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/24 and -173\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + s**3 + 2*s**3)*((3 - 4 - 1)*(0 - 4 + 3) - 5 + 2 - 1).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 11*d - 20637. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -2784413.\nAnswer: -210\/2784413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*s - 55*s - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 + s - 20. Give v(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 - 2*t**2 - 2*t. Suppose 2*n = -n. Let o be (-2 - -2) + n + 17. Let i(y) = 7*y**2 - 2*y - y**2 + 11*y**3 + 8*y. Give o*x(d) + 6*i(d).\nAnswer: -2*d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 157 and 161 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t + 15. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdvddvvxvxddddz. Give prob of sequence jvx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -6163.17?\nAnswer: -6163.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3394092*u**5 + 957692*u**2?\nAnswer: 203645520*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 45427 = -l + 5*j - 45397, 6*l + 5*j + 30 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 7543?\nAnswer: -37715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + v - 8, t - 396 = -4*v - 415 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31899244*x**2 - 4*x - 781653?\nAnswer: 63798488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27.5 times -10.38\nAnswer: 285.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*w**5 + 57*w**2.\nAnswer: -8100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586\/33 + -67\/11. Is 12 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1909303, -1909049, -1908627, -1908037, -1907279, -1906353?\n\"Answer: 84*i**2 + 2*i - 1909389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058241085 rounded to six decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y. Let m(r) = 2*r**2 - 4*r + 3. Let v be m(2). Suppose 2*z = y, 10 + 4 = f - v*z. What is the remainder when 41 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 2.8. Let r = -0.6 + m. Let g be 5\/10 - 3\/(-2). Which is the nearest to -0.1? (a) g (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-7938)*21 + 41\/6 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/5 - 6*m**4 + 96*m**3\/5 + 128*m**2\/5 = 0. What is m?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4 + 2577686*p**3 + 350*p**2 + 6212*p wrt p?\nAnswer: -72*p + 15466116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 4. Suppose 4*z - z + 12 = 0. Let x(s) = -2*s**2 - 9. Give z*x(u) + 9*d(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/15954 and -67\/191448.\nAnswer: 191448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 16*w**2 + w + 21. Let a be (32\/10)\/((-2)\/10). Let m be k(a). Suppose m*v - 188 = v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 921 - -310. What are the prime factors of o?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 4\/15*s**6 + 0 + 0*s + 49\/6*s**4 - 5\/2*s**5 + 1\/105*s**7 - 40\/3*s**3 + 226*s**2. Factor p(c).\nAnswer: 2*(c - 2)*(c - 1)**2*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - -3.05. Let t = 0.03 + -3.03. Let q = w + t. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 12*r**2 - 54*r + 7. What is x(-6)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6720)\/(-476) - (-4)\/(-34). What is the highest common divisor of 154 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1644, -3271, -4874, -6441, -7960, -9419, -10806, -12109?\n\"Answer: 2*a**3 - 1641*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279975 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.5 (b) 2\/27 (c) -4\/5 (d) 2.85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 94483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -305 (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -21. Let x be 7\/(w\/(-4)) - -4. Solve -d + x = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-5))\/(2\/10). Let d be k - -1 - (-42)\/15. What is the third smallest value in -3, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/25 - 48\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2118 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 7617456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156860*a + 473247 wrt a?\nAnswer: 156860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265731968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2033039.62 to the nearest 1000.\nAnswer: 2033000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*v + 3*v**4 + 15*v + 22*v)*(0*v - 3*v + v)*(1 - 3 + 1).\nAnswer: 6*v**5 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11161 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48732 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 10*j - 9. Give m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 320, 321, 322?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-35)\/(-15))*(-999)\/(-6). Let i = -113 - c. Sort 9, i, 2 in descending order.\nAnswer: 9, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558*s - 252543 - 115783 = 1273*s - 71071 for s.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = -4*w + 23, -3*w = -2*h - 23. Let f(r) be the first derivative of -1 - 1\/2*r**2 + 5*r. Determine f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 9. Let v be j(11). Suppose -2 = -2*q + v. Is q greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-142)\/(-4) - (-12)\/8. Let c = x + -33. Let l = -34 + 33. What is the second biggest value in l, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10\/3, -3, -1\/5 in ascending order.\nAnswer: -10\/3, -3, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 1050?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/44 - -85\/132. What is the closest to 0.1 in m, 9, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + -204?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/(-27*(-19)\/7524).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3077 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11738782 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(7\/(105\/10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-75))\/((-14)\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(1 - 21\/6). Let i = a - -9. Find the third derivative of 2*v**2 - 4*v**i - v**4 + 2*v**4 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233527885 is divided by 753.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.17 (c) -0.04 (d) -7085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 - -184. Sort -1\/4, 2\/11, o, 3.\nAnswer: -1\/4, o, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s**5 - 5*s**3 - 2*s - 17\/3*s**2 + 0 - s**4.\nAnswer: s*(s - 6)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f + 24. Let j be m(-6). Let h be 10902\/6 - j\/2. What is h rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/86310 and 7\/405.\nAnswer: 776790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5513, 5295, 5065, 4817, 4545, 4243, 3905?\nAnswer: 3525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 14.861364.\nAnswer: 11.861364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 2*z - 2*z - 1 + 3*z.\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*i + 7, -3*j = j - 2*i - 6. Let s = -17 + 19. Find b such that -2*b**4 - 1 - j + 5*b**2 - 2*b**2 + b**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 2*s - 16. Let m(l) = -l - 19. Let p be m(-24). Suppose -5*z - 62 = 3*j - 22, -5*j = -p*z. Is 17 a factor of a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 882 (b) -3\/5 (c) -1.4 (d) -1 (e) -5 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 30572?\nAnswer: 1008876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2150 and -3\/459842.\nAnswer: 11496050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efkwkfepefwpepwpk. Give prob of picking 1 e and 1 k.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34213985213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*l + 327*l + 359*l in the form z + d*l and give d.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9*n = 5*n. Suppose -25*f - 43394 + 194169 = n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 + 6*m - 17. Let q(b) = 2*b**2 - 3*b + 9. What is 3*a(z) + 5*q(z)?\nAnswer: -2*z**2 + 3*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -200*m**3 + 20*m - 220. Let r(i) = -67*i**3 + 7*i - 73. Let v(c) = 7*o(c) - 20*r(c). Differentiate v(t) wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3836.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18516553*s + 131152887 with respect to s.\nAnswer: -18516553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 17*m**2 - 23*m - 24. Let k be y(-16). Let p = k - 361. What are the prime factors of p?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -25*d + 1801. Calculate the remainder when 209 is divided by t(69).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and -0.2640914.\nAnswer: 10.563656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/7 + 12817152*b\/7 + 7324096 = 0. What is b?\nAnswer: -4, 3204292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 5:01 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7341 + 11207?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/267 and 39\/1595.\nAnswer: 425865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7251, 14492, 21735, 28980, 36227?\nAnswer: 43476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/((-36)\/8 - -4). Let h = t - -74. Calculate the highest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090695 rounded to 5 decimal places?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x*y**4 + 33345*x*y**2 + 7*x*y + 100*x + 334052602*y**5 - 2*y**2 wrt y.\nAnswer: -24*x*y + 20043156120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -202, -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92393 and -22.\nAnswer: 2032646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -5737359.\nAnswer: 2\/1912453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 28*o - 1. Let w be ((-10)\/3)\/((-6)\/9). Suppose -a + 2*p + 19 = 2*a, -w*a = 2*p - 21. Put a, o, 4 in descending order.\nAnswer: a, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14824 (base 12) in base 4?\nAnswer: 13002130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6313*y**2 - 47657 + 47657)*(2 + 3*y - 2 + (3*y - 3*y + 2*y)*(-2 + 4 + 0)) in the form a*y + d*y**2 + o + b*y**3 and give b.\nAnswer: 44191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 1\/6, 2, -73 in descending order.\nAnswer: 2, 1\/6, -0.8, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**5 - 15*y**3 - 233*y**2 - y?\nAnswer: -180*y**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19623215*j**5 - 3*j**4 - 361722540*j wrt j?\nAnswer: 392464300*j**3 - 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8598 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*((0*x - x + 0*x)*(6 - 2 - 2) - 16 + 2 - 47*x + 17).\nAnswer: 196*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-84)\/9)\/(-14))\/(2*4\/16). Let -44\/3*y**2 + a*y**3 - 4\/3*y**5 - 16\/3 + 4*y**4 + 16*y = 0. Calculate y.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60398 (base 10) to base 6.\nAnswer: 1143342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-132)\/(-24))*((-128)\/160)\/(-4).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/30)\/(3\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20+-1870012.0587\nAnswer: -1869992.0587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20898548?\nAnswer: 2, 11, 197, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -7. Sort z, 2, -3 in increasing order.\nAnswer: -3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17885519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - -12. What is the remainder when p is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 32258196*i**2 + 65036934444300*i - 65036966702500.\nAnswer: 4*(i - 1)*(i + 4032275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*c - 8123 = -0*t, -c - 16225 = -2*t. What are the prime factors of t?\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 509 and 49320573?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -8919361681859?\nAnswer: 8919361681859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0 - 7*q + 0 + 46*q - 23*q. Let s be -1 + (2 - 2) + 3. Let w(h) = 4*h**2 + 0*h**s - 2*h**2. What is w(d(y))?\nAnswer: 512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 1. Suppose 0 = h - 2*h + 4. Let k be a(h). Let b = -145\/453 + -2\/151. What is the nearest to 1 in b, -5, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*l - 3*m, 37 - 15 = l + 5*m. What is the remainder when 81 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -8)*-4*-3. Suppose 2*t + 78 = -2. List the prime factors of (k\/20)\/((-6)\/t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -0.1, 0, 229 in decreasing order.\nAnswer: 229, 0, -0.1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6876 and 28969.\nAnswer: 199190844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529*v = -528*v - y + 1, 5*y = -4*v + 14. Suppose 3*i - s + 21 = 0, 4*i = -s + 3*s - 26. Let m = 4 + i. Which is the nearest to 2? (a) v (b) -6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 less than -2811\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (51*325\/1105)\/(12\/76)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/310485 and -11\/3991950.\nAnswer: 27943650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 11*g**2 + 7*g + 50. Calculate o(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 11 - 17 - k + 10 - k**3. Let p be n(4). Suppose p*t + 1523 = 5*t + b, 0 = 2*t - 3*b - 616. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(132)*2)\/(6*(-2*sqrt(11) + sqrt(11))) - (5*(2*sqrt(300) + sqrt(300)) + 4)**2*6.\nAnswer: -405096 - 21610*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + (-5 - 11)) - (-329 - -343)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(60\/200).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 34 = -5*z, 0*z + 2*z - 4*c - 2 = 0. Let u = -0.46 - -0.16. What is the third biggest value in u, -2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 28 = -4*z - 92, -5*r = 2*z - 276. Let j = -53 + r. What is the remainder when (-1 + -2)*5\/(-3) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 400 and 15?\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 2*l - 293 - 702 + 307.\nAnswer: -4*l - 688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - ((3 - 6) + -10 + -9 + 8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3854*w + 496 = 3985*w - 159 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3368351, 2 in descending order.\nAnswer: 3368351, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1095 divide 26170550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 655 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 + 543*z**3 - 540*z**3 + 22*z**2 - 12*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 866 (b) 3 (c) 0.21 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.711 - 13.8. Let u = -43.089 - g. Let c = -43.0000115 - u. Round c to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, -7, -1 in ascending order.\nAnswer: -7, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5368 = -20*p + 5268 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 880158 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -135, -33, 53 in ascending order.\nAnswer: -135, -33, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7885 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635840 rounded to the nearest ten thousand?\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 3*k + 4*k)*(-k + 3 - 3)*(k + 0*k + 0*k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - 4*d + 2. What is the least common multiple of q(-4) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01416 and 4?\nAnswer: 3.98584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116552 (base 10) to base 13.\nAnswer: -41087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 14*b - 26. Determine x(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 - 54 + 25)*(p + 0*p + 2*p**2 - 3*p**2).\nAnswer: 111*p**2 - 111*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Which is the third smallest value? (a) -1\/4 (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459319703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 15*w - 1276 + 5488 = 12*w for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 6 + 26. Suppose -q = 4*l + 1, -3*l + 52 = 3*q - 2*l. Let f = q + n. Solve a = 1 + f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-17)*(-110)\/(-275)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c72 (base 14) in base 13?\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 67*f**5\/20 - 7*f**3\/3 - 5*f**2\/2 - 214*f. What is the second derivative of p(z) wrt z?\nAnswer: 402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.72 - 15.42. Which is smaller: k or 3.89?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180568 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5986 and 820.\nAnswer: 59860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 6:17 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 73 = 35. Suppose 3*r - 54 = -2*a + 7*a, 2*a + k = 3*r. List the prime factors of (a\/2)\/((-30)\/100).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.111145mm to nanometers.\nAnswer: 3111145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a (base 13) to base 12.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6601\/738 - (-1 - -10). Put -0.13, m, 2 in decreasing order.\nAnswer: 2, m, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = -48. Let r be 0\/(1*(3 - 1)). Suppose 4*i + b - 2*b - 26 = r, -5*i + 3*b + 29 = 0. What is the least common multiple of q and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 + g - 1. Suppose -6*o - 1383 + 231 = 0. Let z = -191 - o. Give t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:30 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.024 + 22.024. Which is greater: w or 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1*9)*96\/(-128).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*(-2)\/6 + 1. Let o = -30 - -32. Suppose 5*p = -3*z + 105, o*z - 4*p + 28 = 3*z. Calculate the highest common divisor of z and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1607747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/56906 and 71\/20.\nAnswer: 569060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 10. Let q = s - -1. What is the remainder when 25 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, -18, 1, 12 in descending order.\nAnswer: 12, 1, -18, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5333322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaqaqiiiaaaqqaiaaqq. What is prob of picking 3 q and 1 i?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - 22 = -4*c, -4*n - 8 = 0. Let q = 8 + c. Suppose 0 = -k + 2*k - q. Solve o - 1 + k = 2*v, 13 = 3*v - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:22 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1459358\nAnswer: -3\/1459358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2290850667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371366 is divided by 16146.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4\/12 - 14*y**3\/3 - 119*y**2\/2 + 2*y - 14. Calculate i(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 4831 - 15590 = 0. Let r = c + 3728. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by 104.\nAnswer: 101\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 380\/(-495) + 12\/22. Let n = -16 + 20. Which is the closest to 0.2? (a) n (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.56 - -0.56. What is the biggest value in n, -2\/7, -9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 3 = 4*v, 0 = -3*o - 4*v + 21. Suppose 5*w + u + o*u = -1, 0 = 2*w + 4*u + 10. Solve 5*m + r = 19, m - 2 = r - w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.0811.\nAnswer: -0.00811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253, 2, 89, 16, 3.\nAnswer: 2, 3, 16, 89, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 0*j**2 + 0*j + 1 + 2\/3*j**3. Let c(u) = -2*u**2. What is a(c(r))?\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {t: 4, h: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0369 + 3.1069. Let k = u - 4. Let v = k + 0.923. Round v to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*h + 277, h - 5*k + 2*k + 45 = 0. Let r = h + 106. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**6\/900 + z**5\/50 - 3*z**4\/20 - 7*z**3\/3 - 3*z**2\/2 + 51. Let m(n) be the third derivative of g(n). Factor m(y).\nAnswer: -2*(y - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -575*a**3 + 13*a**2 - 14*a - 3. Let p be m(11). Let c = p - -1193909. What is c rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 8*q - 4. Let m be i(-5). Let o = 18 - m. Suppose 0 = 1019*k - 1017*k - 8. Solve -b - o = -k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 22*i**2 + 25*i**2 + 13*i**2 - 2*i + 99*i**3.\nAnswer: 99*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -86, -3 in descending order.\nAnswer: -3, -9, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9946981 and 11418?\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -610\/153 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(-84) + 21757\/3 + -1. Suppose -x = -8*n - 2411. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*r - 7*g - 13, 5*g + 9 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 73534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/165)\/7*2. Which is the second biggest value? (a) -4 (b) -2\/17 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181729.332 seconds to days.\nAnswer: 2.10334875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35386 or -35647?\nAnswer: -35386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1196*s + 207. Let h(a) = 23*a + 4. Suppose -2*r + 6 = 0, 0 = 8*k - 5*k - 4*r + 633. Determine k*h(b) + 4*q(b).\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c + 11*i + 13 = -92*c + 8*i, -c + 5*i = -21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7950557679 less than 0.19?\nAnswer: -7950557678.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.133 and -106.8115.\nAnswer: -106.6785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(14)\/sqrt(2) + -1 + sqrt(35)\/sqrt(80) + sqrt(35)\/(sqrt(5)*2) + (3*2*sqrt(7))**2.\nAnswer: 11*sqrt(7)\/4 + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3479 + 170477\/49. Let h = 116\/147 - w. Is 41 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 + 4*l**3 - 3*l**3)*(6 + 5 - 6)*(2 - 1 + 1)*(4 + 2 - 4 + (-5 + 2 + 1)*(2 - 6 + 3)) as i*l + h*l**3 + r*l**2 + g and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 107, -5 in descending order.\nAnswer: 107, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let d(r) = -146*r**2 + 103*r + 1. Determine d(t(i)).\nAnswer: -584*i**2 - 206*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/5 + 6. Which is the biggest value? (a) -4\/5 (b) s (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -678.91 + 679. What is the third biggest value in a, -14, 0.2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 5*q + 1511 = -24*a, 3*a - 4623 = 3*q. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**2 - 2. Let c(l) = 7 + 3 - 1 + 2 - 10. Determine 4*c(p) + 2*i(p).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w + 152. Let i be u(15). Let q = i - -188. Calculate the highest common divisor of q and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 8*r**2 + 8*r - 9. Suppose -15 = -5*v - 50. Let z be j(v). What is the units digit of (-3)\/(-9) - z\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/13082 and -19\/3.\nAnswer: 39246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 62*h**3 - h**2 - h. Let w be p(1). Suppose 65*s - 960 = w*s. Let d(g) = -7*g - 4. Let v be d(-4). Calculate the highest common factor of v and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24 + 27)*-5*(-1)\/3. Suppose c = -4*n + 49. Let h(o) = -3*o + 45. Let t be h(n). Solve 8 = 4*f - t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11816193743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g**2)*(g + 0*g + 2 - 1)*(6*g**2 - 3*g**2 + 0*g**2).\nAnswer: -6*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -10\/5429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 7, h: 6, b: 2, f: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -60. What are the prime factors of x + (-1 - -1) + (0 - -186)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p + 0 - 7\/6*p**3 + 1\/24*p**4 - 20*p**2. Suppose -3*f + 16 = 4*c + f, 16 = 4*c + f. What is q(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2.5. Let h = 9 - 5. Let p = -179 + 179.3. Which is the second smallest value? (a) o (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhth when four letters picked without replacement from {h: 3, u: 2, t: 7}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1\/3 (c) 4 (d) -3\/5 (e) 1 (f) 73\/3 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**4 - 22*b**3*z**2 + b*z**2 + 13*b*z wrt b.\nAnswer: 48*b**2 - 132*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 3. Let t(q) = 7*q - 5. Let m(i) = -5*h(i) + 3*t(i). Let d(k) = 3*k - 18. Let r(w) = w + 1. Let l(v) = -5*d(v) - 90*r(v). Calculate l(m(g)).\nAnswer: -105*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 23 = 5*u - 0*c, 0 = 3*u + 4*c - 24. Suppose u*h = z + 32, 5*h - 25 = 5*z - 0*z. Calculate the remainder when 16 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 54 + 9 = -5*g, -5*t - 15 = g. Let q = 5 - g. Let n = 1.5 - 0.5. Which is the third smallest value? (a) -3\/4 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 2 + 297*r**3 - 2 - 733772*r**4 + 733768*r**4 in the form t*r + y*r**3 + m*r**4 + s + u*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -1)*6\/7. Calculate the common denominator of -14\/9 and ((-105)\/12)\/(d\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*o + 3527 = 947 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 2 i when four letters picked without replacement from ippzzpfiiizppzzp.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*h**3 + 57*h - 57*h + 606*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 811289208 a multiple of 3048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -271800000 rounded to the nearest one million?\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 5. Let k = d + -8. Suppose 4*a = 3*a + k. Solve a*n + 2*n - 5*w = 40, 2*w = 3*n - 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 15 = 94*b - 89*b, 5*s - 12 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/19, 0, 11 in increasing order.\nAnswer: 0, 4\/19, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - 2.703. Let r = 0.157 - p. Let u = 4 - 6. Put r, 4, u in descending order.\nAnswer: 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d + 59. Let o be j(9). Suppose -o*w + s = 6, -2*w - 9*s + 3 = -4*s. Which is the second biggest value? (a) w (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + (-1 - -4) + 2*2. Sort 5, t, -176 in decreasing order.\nAnswer: 5, t, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(2\/61))\/g)\/(g**(-26)*g) assuming g is positive.\nAnswer: g**(1588\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = 3*s. Let o = 16 + -14. Let d(z) = -z**2 + z. Let p(i) = -i**2 + 8*i + 9. Let t(x) = o*d(x) + s*p(x). Solve t(n) = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 142283016, 142283023, 142283034, 142283049, 142283068, 142283091?\n\"Answer: 2*t**2 + t + 142283013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2))**(-2\/5)*(m\/(m\/m**(-7))*m)**(-2\/17) assuming m is positive.\nAnswer: m**(77\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129034?\nAnswer: 2, 149, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/4 - 21685*q\/2 + 470239225\/4 = 0.\nAnswer: 21685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*1 + sqrt(6)) - sqrt(136)\/(-1*sqrt(8)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 + 317 = -13*l - 87*l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**2 - 4. Let v(q) = q. Determine v(y(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -1*sqrt(204)*2)\/sqrt(12) + -3.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 3*m, 5*z + 15 = -4*m + 10*z. Solve -4*r - 16 = -m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*n + 100*n - 24*n - 41*n to o*n + t and give o.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 12, -4*r - r - 5*g - 55 = 0. Let f be 6\/7*(-413)\/(-177). Suppose -4*n + 18 = v, -7*v - 10 = -f*v - 5*n. Put r, -1, v in decreasing order.\nAnswer: v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -31*f**2. Let t(h) = -h. Let w(z) = 2*z. Let x(r) = 6*r + 35. Let u be x(-6). Let g(j) = u*t(j) - w(j). Determine y(g(p)).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 12*c - 1519. Calculate the least common multiple of s(-28) and 847.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-295)\/20)\/((-15)\/12) and ((-4815)\/120)\/(75\/(-4)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129.93 + 130. Is 25 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8067, -7982, -7873, -7740, -7583, -7402?\n\"Answer: 12*m**2 + 49*m - 8128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333190 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2, 16, -3, -182 in ascending order.\nAnswer: -182, -3, -2, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13*d**2 - 1. Let a be u(-1). Suppose 4*h + 2*m = 4 + 2, a = -2*h - 4*m. Is 5\/h*(26 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7902 + -6?\nAnswer: -7908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1441.9 + -1441.7. What is the nearest to 117 in z, 5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.202 + 5.502. What is the nearest to i in -5, -0.2, 33, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 34*j**2 + 35*j - 17. Give w(18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -6749.\nAnswer: -6748.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*a*y**3 + 102*a*y**2 wrt y?\nAnswer: 420*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(9) + sqrt(576)*-1)*3)\/(-3*sqrt(196) + sqrt(196) - sqrt(16)\/(2*sqrt(4))).\nAnswer: 6*sqrt(3)\/203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112969?\nAnswer: 173, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 - 44*h**2 + 273 - 86 to the form t*h + g*h**2 + b and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 8*x = 2. Put 2, -3, x, 7 in descending order.\nAnswer: 7, 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 2, q: 1, j: 2, h: 2, s: 4}. Give prob of sequence jdw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkktttt. What is prob of picking 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26995 is divided by 8991.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 65 - 5*d + 5*d - 66 - d. Let i be p(-1). Is 1083 + i + (-12)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37 from -4815551.\nAnswer: -4815514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263385 or 263357?\nAnswer: 263357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(-38) assuming x is positive.\nAnswer: x**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 12*g**2 + 4*g - 16. Let o be t(4). Which is the nearest to -38? (a) o (b) -10 (c) 3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198400862.1857897 + 198400852. Let p = -20.8758388 - c. Let v = 10.69 + p. What is v rounded to 6 dps?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -442 (base 13) to base 14\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.97806 - 0.013.\nAnswer: 22.96506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26911, 107806, 242631, 431386, 674071?\n\"Answer: 26965*n**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.0281, -9, -0.4, -1\/7 in descending order.\nAnswer: -0.0281, -1\/7, -0.3, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33313 = c + 5*k - 5408, 2*c + 2*k - 77466 = 0. Is c a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 1:36 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 - 540*w**3 - 8908*w**2 + 33948*w + 42320 = 0. Calculate w.\nAnswer: -115, -23, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3145197772 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 10*a - 1. Let h be j(8). Suppose 36 = -3*m + 5*m. Suppose -5*o - m - 2 = -5*r, -2*o = r - 4. Solve 0 = -o*g + 3*g + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((1 - -4) + (8 + 6 - 14)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - 6*j**2 + 9*j**2. Let y(w) = -3*w + 0*w + 4*w + 0*w. What is d(y(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 19*c**2 - 33*c - 34. What is q(17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 9*l**2 + l - 6. Suppose -4*x - 25 = -i, -3*i - 5*x = i - 16. Calculate the smallest common multiple of k(i) and 200*(-18)\/(-108) + (-2)\/6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 2\/25 (c) 5\/4 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5 + 80*f**4 - 180*f**3 - 880*f**2 + 1600*f + 3840 = 0.\nAnswer: -2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Suppose -v + 1 = -2*y. Suppose 0*t - 14 = -y*t. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (-1 - 1)*(-5 + 6). Suppose 3*z - 215 + 105 = -122. Sort z, t, -5.\nAnswer: -5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1016080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 52 = 3*v. Suppose 4*o + v = o + 4*k, 0 = 4*o + 4*k + 12. Which is the third smallest value? (a) o (b) 2 (c) -2\/11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 9*p + 76 = 0, 85*k + 5 = 82*k + 5*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 - 30*t**3 - 99*t**2 - 4*t + 132 = 0. Calculate t.\nAnswer: -2, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 550*o**3 + 7*o**2 - 7. Let m(f) = 275*f**3 + 4*f**2 - 3. Calculate 5*m(w) - 2*n(w).\nAnswer: 275*w**3 + 6*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = -12*x - 59*x - 808 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2\/(-8))*1. Suppose i + 0*i + s*f = -27020, i - 4*f + 26980 = 0. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16917, -67690, -152395, -271104, -423889, -610822?\nAnswer: -831975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7317*m*r**3 - 192*m*r + 4160115*r**3 wrt m.\nAnswer: -7317*r**3 - 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6575 + 467*x - 6575 + 13148 + (-5*x + 3*x + 4*x)*(0 + 2 - 4).\nAnswer: 463*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 257 in 0.3, -10, -2, 329, 4?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 - f + 27. Let u be -3 + -2 + (460 - 3). Calculate the remainder when 2*(u\/8 - 3) is divided by n(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p)\/(p**(-2\/7)\/p))**(-1\/7)\/((p**(-1\/3))**45*(p**(1\/4))**(-1\/24)) assuming p is positive.\nAnswer: p**(69073\/4704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 6:16 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5101 - 4027. Calculate the remainder when f is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*v - 11507, 215*v - 20 = 219*v. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567531 is divided by 1154.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:13 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**3\/24 - 19*v**2\/16 - 17*v\/4 - 103. Factor b(t).\nAnswer: -(t + 2)*(t + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*c**3*y - 2*c**3 + c**2*y + 70*c**2 + 2400*c*y + 9*c + 2*y + 6011 wrt y?\nAnswer: -17*c**3 + c**2 + 2400*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c + 14382 = -87*c. Suppose 125 = v - 3*o, 3*v - 3*o = 2*o + 355. Let h = c + v. What is the remainder when 23 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*sqrt(32))\/((sqrt(8)*-1)\/sqrt(2)))**2 + 4 + 1.\nAnswer: -32*sqrt(2) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59451 - 17907 = 6*d - 0*d. Calculate the highest common factor of d and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5742454 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.5 from -51.\nAnswer: -65.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*o**2 + 8*o**2 + 0 - 362*o + 11.\nAnswer: -2*o**2 - 362*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/195)\/(1726\/11219)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (11 - (30 + -6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 11*f + 4. Let b be s(-11). Let v be 2\/b - 3\/(-2). Suppose -4*t + 4*m + 12 = 0, -v*m + 2 = -t - 6*m. Solve -o - t*o = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) 4\/15 (c) 5\/11 (d) -5\/22 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*w + 8. Let d be w*1*(-8)\/16. Let u(h) = -20*h - 21. Is u(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.03 + -0.03. Let v = 109.4 + -103.4. Let h = v - u. Which is the second biggest value? (a) h (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1886, -1867, -1836, -1793?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7129 take away -1?\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*a - 46 - 118 = 50 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6*(-15)\/(-40))\/(-3) - 318222\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1907 + -492. What is the greatest common divisor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -88079?\nAnswer: -8807c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25326)\/268)\/63)\/(6\/292)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 3. Is (-16)\/(-3 - -4 - k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 77929104?\nAnswer: 77929104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1061*h + 41 - 1054*h + 2112*h)*(2*h**4 - h**4 + 0*h**4).\nAnswer: -3*h**5 + 41*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.38\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611780 is divided by 293?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 + 175. Solve 15 = h*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14267 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Determine r(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**6 + 0*w**2 + 0 + 0*w**5 + 0*w**3 - 107\/42*w**7 + 259*w - 29\/6*w**4. Find the third derivative of o(u) wrt u.\nAnswer: -6420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8 - 8*c**2 + 3*c**2 + 2*c**2 - 29*c. Let u(x) = -3*x**2 - 30*x - 6. Let l(i) = 3*m(i) - 4*u(i). Factor l(z).\nAnswer: 3*z*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 0.5, -0.46?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/14 - (-2)\/(-7). Let p be (1 + j\/2)*2. Let i(u) = -7*u**2 + u + 1. Let o(x) = 36*x**2 - 11*x - 11. Let y(z) = -5*i(z) - o(z). What is y(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.7 and 2049?\nAnswer: 11679.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d + 19. Let c(o) = 8*o + 12. Let k(f) = -3*c(f) + 2*t(f). Let h(b) = 9*b - 3. What is 5*h(i) + 7*k(i)?\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 + 13*d - 13. Is k(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 4834938.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1123, 115, 0.3, 1\/2 in decreasing order.\nAnswer: 115, 1\/2, 0.3, -1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + b - 1. Let f be c(-2). Let k = f + 0. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1218 - 1227) + (-40 + 6 - (-6 - -2)) + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -35*y**2 - 99*y. Let k be q(-2). Let b = -3072 + 12517\/4. Is b greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 28918.\nAnswer: -2891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Add together 7074833191860 and 5.\nAnswer: 7074833191865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + -22201?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143670689.\nAnswer: 17, 8451217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73 and -195757?\nAnswer: 14290261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 1. Let y = 7 + -10. Let k(z) = -5 + 2 + 2*z**2 + 4 - 3*z**2. Let w(u) = y*k(u) + m(u). Differentiate w(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 equal to -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24587?\nAnswer: 23, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 308 - t + 625 + 0*t - 1338 - t - 567*t**2 wrt t?\nAnswer: -1134*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15967719 divided by 1\nAnswer: 15967719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 31. Suppose -l*d + 6*d = -94. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229 is divided by 265?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-27) - (-539)\/21. Calculate the highest common divisor of b and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 23*v - 3*m - 30852, -v - 2*m = -10260. Calculate the greatest common factor of v and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -11\/1646270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*w**5 - 2*w**4 - 38312*w**3 + 139408086*w**2 wrt w.\nAnswer: -17040*w**2 - 48*w - 229872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = -4. List the prime factors of (m\/3)\/((-2)\/270 + 0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*u + 21 = 0, 0 = -2*u + 5*u + 15. Suppose 3*z - t = t + 16, -12 = -4*z - h*t. Solve a + 3*a + o = -13, 7 = z*a - 3*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, 7, -68, -1, 4 in ascending order.\nAnswer: -68, -10, -1, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.00000036 - -9. Round k to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*s - 100*s - 9273 = -1577 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.2 - -5.2. Let x = v + 33.29. Let l = -0.39 + x. What is the third smallest value in 1, 1\/4, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*m + 3836 = -12*m + 206 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Suppose 2*i + 9 = 13. Let q be (-5)\/2*8\/(-10). Let w(g) = 3*g**2 - 6*g**q + g**i. Calculate w(c(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*k + 32, 2*o - o - 4*k + 17 = 0. Let p(y) = y**2 + 36*y + 203. Let d be p(-29). Let b be (3\/6 + d)\/o. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21826727229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/24 + (422\/(-88) - -7).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/25)\/(2\/10))\/((-319)\/(-20735)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*n - 11 = -3*u, 3*u - 35 = 11*n for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 35. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.3, 5, -29, -0.1 in descending order.\nAnswer: 10, 5, -0.1, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + sqrt(153)) - ((sqrt(153) - (2 + sqrt(153))) + -1)) + 1)**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 11 - 4)*(4*h + 20*h - 8*h) as f + q*h and give q.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-3 + 0))\/8. Sort b, -0.3, 0.4.\nAnswer: b, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46878 is divided by 309.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -254, -477, -630, -671, -558, -249, 298, 1125?\n\"Answer: 7*d**3 - 7*d**2 - 251*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -120513684\nAnswer: 120513683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 2790404022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 148035728*i - 148035728*i - 5*i**3.\nAnswer: -5*i**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/5 + 13146*w**3\/5 + 21472344*w**2\/5 - 86047192*w\/5 + 86099808\/5 = 0.\nAnswer: -3516, -3061, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228103.\nAnswer: 228103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**3 - 3*p**3)*(-4*p - p + 3*p) - 3*p**2 - 2*p**4 + 3*p**2 + 6*p**4 - 9*p**4 + 19*p**4.\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60.1 + -60. Which is the biggest value? (a) r (b) 4 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3310 + -43.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*h*m**2*r + 2*h*m - 10*h*r - 8*h + m**2*r - 52*m*r - 4212*r with respect to m.\nAnswer: 24*h*m*r + 2*h + 2*m*r - 52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 396?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 3. Let h(o) = 3*o + 2. Let t(r) = 3*h(r) - 2*z(r). Let p(f) = -4*f. Determine t(p(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -0.112, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72269926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/8 - 8375*p\/8 - 4187\/4 = 0. Calculate p.\nAnswer: -8374, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10055 is divided by 1097.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-5)\/(-5)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.21, 45, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**6\/120 - q**5\/20 - q**3\/2 - q**2. Let z be k(3). Let d(p) = -4*p - 7*p**2 - 6*p**2 + 12*p**2 + 3. Determine d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 98 (b) 0.04 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -139494.011 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from {e: 4, h: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 + -0.167335.\nAnswer: -102.167335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 + 6*j + 11. Let d be p(-5). Let w = d - -124. Let a = w + -38. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - 890\/7. What is the biggest value in r, 3, -0.3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 46. Let o(t) = 1097*t**2 + t - 1. Is o(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 22*b + 20. Suppose -j + 100 = -5*d, 4*d - 5*j + 61 = 2. Let t be r(d). Suppose -4*f = f - 5. Sort f, -2, t in increasing order.\nAnswer: -2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/(-14) - 2\/(-7). Let h be 30\/(-105) + 8268\/(-70). Let l = -118 - h. Sort l, u, 0 in descending order.\nAnswer: l, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65212914.\nAnswer: 2, 3, 13, 836063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 130 = 135. Let d = l + -47. Suppose -d*i = -10*i - 19200000. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + (13 - 5) + 12 + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 6, -15, -60, -129, -222, -339?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 86 - 114 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**2 - 351868*f + 57248208 = 0.\nAnswer: 163, 87804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 1204 = -2*c. Let l be (-103)\/(-1*(-3)\/(-3)). Let w = c - l. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8) + 70\/(-180)*356\/(-168). Which is smaller: l or 102?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-108)\/(-18) + (-2)\/(-1). Suppose 19*l - i*l = 44. Solve -5*m - 1 = l*h, 0 = 4*m - 2*h + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 460 = 3*m - 7*m, -2*s = -8. Let k be (-5)\/60 - m\/(-36). Solve k*y + 2*z = -13, z + 6 = 4*y - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q - 5\/6*q**4 + 0*q**3 + 0*q**2 + 1\/20*q**5 + 0. Let p be n(10). Solve -2*j - 10 = -5*y + 3*j, p = 4*y - 5*j - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.2 + -50. What is the fourth biggest value in 2, a, 5, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340159734 divided by -1954941.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13740 + 13743. Sort f, -3, -1, -2.\nAnswer: -3, -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*b + 4*v + 614, 2*b - 5*v = 316. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*o - 30, -o = -5*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754306 is divided by 522.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -141, -137, -133, -129, -125?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lop when three letters picked without replacement from {t: 1, o: 1, i: 1, p: 3, a: 4, l: 6}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {q: 11, i: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*16*1 + -1. Let s = 16 + -12. Let t be (-1)\/s + 122\/8. Calculate the highest common divisor of t and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249 + -248.999999874. What is q rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 52. Suppose -i + 4*l - 9 = 0, -22 = -g*i - 5*l + 5. Is ((-30)\/(-35))\/(i\/63) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5. Let n be (18 + -3)\/(s + 1). Suppose -5*f - 370 = -5*k, f - 289 = -5*k + 87. What is the highest common divisor of k and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934205 divided by 386841?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 940580 and 327500?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*u - 2846 = -38. Calculate the greatest common divisor of 90 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16991 + 5238. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132984924 and 22908?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2145 + 2170. Suppose 4*q - 4 = 0, -4*q - 1 = v - 9. Which is the third biggest value? (a) 0.5 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805502 is divided by 300901?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*f**3*h**2 - 23*f**3*h - 3*f**3 + f**2*h - 11*f*h + 3*f + 98*h**5 wrt h.\nAnswer: 432*f**3 + 1960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -36*j + 28. Suppose -3*s - g - 9 - 4 = 0, 5*s = -2*g - 23. List the prime factors of l(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 10*k**2 - 3*k - 4. List the prime factors of b(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2430736574 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 800 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 5*z + 5*z)*(5*z - 3*z + 0*z)*(12 + 1 - 25) + 2*z**2 + 3*z**2 - 4*z**2.\nAnswer: -119*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-16)\/6) - (-117)\/36. Suppose -p = 2*l + 6. Let y be 8\/(l - -3) + 5. Solve -8 = 3*o + y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122110120200021212 + -1?\nAnswer: 122110120200021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, p: 10}. What is prob of picking 4 v?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155 + 155 + 17*a)*(3*a + a**3 - 3*a) - a**4 - 4*a**4 + 4*a**4 + (a - a - 2*a**3)*(0 + 2*a + 0) + a**4 - 2*a**4 - a**4.\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*2*-6)\/(sqrt(3) - sqrt(18)\/sqrt(54)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 409898 (base 12) in base 11?\nAnswer: 631495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t + 5 - t + 9*t. Calculate the remainder when i(3) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 - 7\/(-28). Suppose 6*x - 104 - 1300 = m. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5328)\/(-16317))\/(360\/126).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/24 and -32\/51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/12*2)\/((-11)\/(-271546)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-5)\/((-100)\/(-144)) - 114\/(-95))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (2 - (0 - -9)) + 226242*(-16)\/(-96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = 0, -2*f + 22 = -t + 9. What is the remainder when 27 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - a - 4)*(-3*a**3 - 22*a**3 + 13*a**3 + 3*a) to f*a**4 + c*a + y*a**2 + w + p*a**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430902 or -430904?\nAnswer: -430904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-12))\/(3\/9). Let f be 6*1 - m\/(-1). Solve 2*s = -2*s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/29 - 33\/145. Sort -3\/2, -4\/7, -3, h in increasing order.\nAnswer: -3, -3\/2, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from ozvvmdooovovvdmvvm?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-23 - (19 + -20))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34114, -5, -1 in ascending order.\nAnswer: -34114, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 + -105. Suppose 3*y - 5*j - 18 = 83, 3*y - g = -3*j. Suppose 3*o = 4*d - 155, 0 = 2*d - 2*o - 53 - y. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143240 and 8960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, 0, -5, 11, 1, 30 in decreasing order.\nAnswer: 263, 30, 11, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 p when four letters picked without replacement from {p: 3, n: 7, w: 2, h: 1, t: 3, m: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*w - 2010 - 1816 - 360 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1539, -5, -2004 in decreasing order.\nAnswer: 1539, -1, -5, -2004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/2)\/m))**21 assuming m is positive.\nAnswer: m**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -91268320 rounded to the nearest one hundred thousand?\nAnswer: -91300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/9 + (-1989935)\/161007?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 + 6*c + 6. Let z be j(-4). What is the units digit of (-1 + (-2)\/(-4))*z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) -1\/9 (c) 0.3 (d) 0.0332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -251\/3? (a) 3 (b) 3\/2 (c) -0.28 (d) 5 (e) 10.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 55 = 5*m. Let o(q) = -q**3 + 12*q**2 - 9*q - 7. Let r be o(m). Calculate the greatest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9952 - 3464. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4185\/(-1953) + 8\/7. Let h = 8 + -8.03. Which is the nearest to -1\/5? (a) t (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h - 30. Let f(b) = b + 13. Give f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604 divided by -151.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:39 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2762 = z + 1141. List the prime factors of z.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = -2. Let j be l - (1 + 2) - 1. Let a = 1 - j. Solve p - 4*p - a*w = 0, -2*w = -3*p + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 1477.\nAnswer: 93051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512)*4)**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 16. Let b(u) be the second derivative of -5*u**2\/2 - 3*u + 16. What is 7*b(q) + 2*f(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5068*v - 2444*v - 2203*v + 26954 = -2516 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.894 - 0.106. Let u = b + 28. Let k = 0.5 + -1. What is the closest to 0.2 in k, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10955843*g**2. Let o(v) = -93*v. Determine d(o(y)).\nAnswer: 94757086107*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 - 3*s. Let c(x) = 132*x + 126. Let u be c(-1). Let n(y) = 23*y**2 + 10*y. What is u*n(v) - 17*h(v)?\nAnswer: -2*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25021017*p**5 - 72605404*p?\nAnswer: -500420340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -1\/2, 10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-2\/15)))*c**(-1\/2))\/(c**(2\/3)\/c**(-2\/5)) assuming c is positive.\nAnswer: c**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g + 12*g - 9*g + 9*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 125, 159, 217, 305, 429, 595, 809?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 355685 divided by 145\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 196807575 to the power of 1\/2, to the nearest integer?\nAnswer: 14029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 3*z**4\/8 - 17*z**3\/2 + 141*z**2\/4 + 195*z\/2 + 505. Find w such that c(w) = 0.\nAnswer: -1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1973\/2 + 986. Which is the fourth smallest value? (a) 2 (b) u (c) -3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-105))\/(25\/(-150))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 4)*(-2)\/4. Let y = 651 + -22133\/34. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1124 (base 10) to base 11.\nAnswer: -932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 82*x**2 - 157*x - 240.\nAnswer: -(x - 80)*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/98180 and 143\/2370.\nAnswer: 23268660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177828 and 2043804.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*(-10716)\/95 - (-2)\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -4. Let q = 0.06 + 4.44. Let x = r + q. Put 5, 1\/7, x in decreasing order.\nAnswer: 5, 1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4615*v**2\/12 + 18469*v\/12 - 3 = 0.\nAnswer: 9\/4615, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 74452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2389*n + 2416*n + 135 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmq when three letters picked without replacement from {m: 1, g: 4, a: 2, q: 2, t: 1, x: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 1. Let m(p) = -p**2. Give m(x(s)).\nAnswer: -64*s**2 - 16*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*n - 2398 + 2394 + 228*n - 3*n**2 to q*n + y + s*n**2 and give q.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11634409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose -y*u = -u - 10. Suppose -j + 5*m + 32 = 0, u*j - 7*m + 4*m = 50. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -314, -309, -308, -311?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + x. Suppose -5*k + 3*h - 5 = 0, -h + 5 = -2*k - 3*k. Let w be r(k). Solve 3*v - 4*j = 35, 0*j - 15 = w*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(2*z - 2*z - 2*z) + 6*z - 2*z - 2*z - 87 - 90 + 23*z + 174.\nAnswer: 27*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -19*g**5 - 3*g**3 - 6*g + 92. What is the third derivative of v(s) wrt s?\nAnswer: -2280*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/33810 and 5\/30429?\nAnswer: 304290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 20*m + 3. Let r be n(0). Suppose 0 = -2*t + r*j - 0*j + 763, t = 3*j + 374. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 37*j - 21*j**3 - 20517 + 20517 + 5*j**4 in the form b*j**4 + h*j**3 + y*j**2 + v*j + s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9862045.6 rounded to the nearest 10000?\nAnswer: -9860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 14870 + 5150 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 963 + -24086\/25. Let x = 4\/25 - k. Put -0.3, x, 14 in descending order.\nAnswer: 14, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let t = l + -1. Solve 0*z - z - t*q = -11, -5*z + 34 = 3*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 3, b: 13}. Give prob of picking 2 b.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125 - -1?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750983401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3759.5 - -3759. Let w = -18.57 + 19. Let b = -0.03 + w. Sort 4, p, b.\nAnswer: p, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 10. Let 2*s**4 - 2*s**2 - i*s**2 + 2*s**2 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23315850 divided by 7575?\nAnswer: -3078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1416)\/118*2\/(-5))\/(12\/(-40)*19)\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 38*d + 200. Let r(q) = 2*q**2 + 36*q - 200. Let s(w) = -3*o(w) - 4*r(w). Factor s(m).\nAnswer: -5*(m - 4)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409 - 141. Let i = -99 + o. Suppose -3*c + i = -4*q, -4*c + q + 3*q = -224. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4753547+-12786712\nAnswer: -8033165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 14*v + 16*v + 15*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31262, 125081, 281454, 500387, 781886, 1125957?\nAnswer: 1532606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55824299.\nAnswer: 19, 373, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 68 - 40 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 7*h**2 - 10*h - 2. Let v be o(-10). Let z = -118 - v. Let r = z - 33. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + -22 + 38 + 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15220223*y**3 - 14443762*y**2 wrt y?\nAnswer: -91321338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-72)\/(-159)) - (523 + -509)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2355825.8 rounded to the nearest ten thousand?\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*o**3 + 764*o wrt o.\nAnswer: -1434*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 1. Which is the second smallest value? (a) 4 (b) k (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 2767 = -863. What is the remainder when 11614 is divided by l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(490) - 2*sqrt(490) - sqrt(490)))\/(sqrt(35)\/(sqrt(21)\/sqrt(3))).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8 - 15\/(150\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -1\/120*v**6 + 0 + 121*v**2 + 0*v + 7\/24*v**4 + 7\/60*v**5 + 3\/2*v**3. Give g(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 733, 789, 867?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.4, -3, 12, 0.3 in decreasing order.\nAnswer: 12, 0.3, 0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c - 3. Let w(j) = -j - 1. What is 2*p(a) - 5*w(a)?\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5524 = -5*x - 10*g + 5584, -3*g = -x - 18 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0179 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0 - 5 - -2) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smwwswwsnswwk. Give prob of picking 2 s and 1 w.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + (3*sqrt(539) - sqrt(539)) - (-1 + sqrt(539) + 5)) + -4)*2 + 5)**2.\nAnswer: -588*sqrt(11) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2817 is divided by 2467?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5*w - 1\/4*w**4 - 5*w**2 - 6 - 8\/3*w**3. Does 8 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 17*w**2 - 32*w - 211. Determine k(-17).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2931 - 2929. Let d(o) = -6*o**3 + o**2 + 1. Give d(i).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1.7. Which is the nearest to 2? (a) -1 (b) q (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 36 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -0*w + 5580. Suppose -p + 5*n = -4*p + 791, -4*n + 530 = 2*p. Let j = w + p. What is j rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -462, 5 in ascending order.\nAnswer: -462, -3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + 130*v**3 + 127*v**3 - 265*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38876959.\nAnswer: 11, 3534269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/16159 and -89\/42262.\nAnswer: 549406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**8\/1008 - 4*j**7\/315 - j**6\/20 - 4*j**5\/45 - 5*j**4\/72 - 31*j**2 + 2. Factor o(b).\nAnswer: -b*(b + 1)**3*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-5)\/420). List the prime factors of ((-110)\/(-66))\/((-1)\/q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002249 to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + 442. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-126)\/(-567) - (-264)\/27 - 7. Solve 2*x = 5*x + f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -440*p + 153*p - 213*p - 6000 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 56*u. Let m(b) = -2*b + 23. Let i be m(24). Is 6 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) - ((sqrt(3744) - (sqrt(3744) - 1*sqrt(3744))) + sqrt(3744) + sqrt(26)) - sqrt(26))\/((sqrt(4)\/sqrt(2) - sqrt(2))*-2 - sqrt(2)))**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67.6 - -64.22. Let y = -29.38 - m. Is y >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255*i + 5*u = -2524*i + 1265*i + 4, 0 = 3*u - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -4\/37, -257, 0.4.\nAnswer: -257, -2, -4\/37, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-185) - (-54)\/5 - 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 4*p - 3. Let u(l) = l**3 + 23*l**2 - 22*l + 24. Let x be u(-24). Let n be 0 - 1 - x\/(-4)*7. Let k = 49 + n. Calculate a(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 75 = 5*f, -36*f - 45 = 2*h - 73*f + 32*f for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44704 = -2232*m + 57968 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 + b - 1. Let y be t(6). Let p(d) be the first derivative of d**4\/4 - 5*d**3\/3 + d**2\/2 - d + 2. Is 4 a factor of p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/5301401623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14789, 29560, 44333, 59108?\nAnswer: 73885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5020*n - 1635*n + 4032*n + 8017*n - 2421*n to the form i + j*n and give j.\nAnswer: 13013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) -1 (c) -0.053 (d) 2\/25 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) -3 (b) -0.4 (c) -200 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)\/(16\/24). Let b be -2 - (7 + l)\/(-2). Let n = 0.2 - 0.1. What is the third smallest value in -0.2, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60800 divided by -25\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 404?\nAnswer: 3\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - q + 1. Let f(r) = -5*r - 10 - 8*r**2 + r**3 + 23 - 6 - 5*r. Let t be f(9). Determine z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1617*l - 6468. Let v be m(4). Do v and 5\/1469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 5*x - 7*x - 3*x**4 - 10 + 13 in the form o + p*x**4 + w*x**3 + v*x**2 + n*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 30 = -4*n. Is n < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 85\/517?\nAnswer: 85\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1812.6128 to the nearest ten.\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from bxwibpbbibbw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29229.271 rounded to the nearest ten?\nAnswer: 29230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4651 + 21442?\nAnswer: 26093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + 0?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13287, -107130, -361859, -857916, -1675743, -2895782, -4598475?\nAnswer: -6864264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235*o - 82*o - 63*o)*(-3*o - 5 + 5).\nAnswer: 1140*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/396*11*(-4)\/15.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-860)\/90)\/43)\/((((-20)\/24)\/5)\/24).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 283*g - 278*g + 2, 3*g + b + 6 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t**3 + t**3 + 3 + 6*t**2 - 2*t**3 + 2*t**3 + 3*t. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 12*h**3 - 2 - 5*h**3 + 2 to y*h**2 + n*h**3 + i + s*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 7:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/4, 1.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2465148872 + 2397.2442378872. Let a = u + -2397. Round a to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76547482 a multiple of 4877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - -41 - (12 + -5 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 240301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j - 0. Let a(t) = 3*t**2 - 4*t + 1. Let l(x) = x**2 + x - 1. Let d(i) = j*a(i) + 2*l(i). What is the units digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-2 - -19) + -10 + -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (5 - (-51)\/(-9))\/(2\/(-60))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 4*h + 4. Let y be r(-4). Let u be (-16)\/18*(-3)\/y. What is the biggest value in -4\/7, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1306599591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 2. Let o = -3121 + 3124. Sort -14, 4, k, o in increasing order.\nAnswer: -14, k, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.62 and 2987770779?\nAnswer: 2987770767.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 2. Let q be y(2). Suppose 4*o = -2*n + 1366, q*o = -0*n + 5*n - 3379. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356276 (base 8) to base 10.\nAnswer: 122046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + 16*w + 80. Suppose 33 + 7 = -4*n. What is the units digit of k(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(0 + 2 - 4)*(-6*v**5 + 7*v**5 + 3*v**5).\nAnswer: 32*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 - 1)*(3 + 0 + 0) - 5 + 5 + 1)*(-46*i + 85 - 85).\nAnswer: 368*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 92196 = -3*i - 8*a, 5*i = -4*a + 153648. List the prime factors of i.\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025809976 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948668 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-583)\/795 + ((-56)\/(-10))\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*sqrt(77) - sqrt(77) - sqrt(77)))\/(sqrt(252) - sqrt(252)*2 - sqrt(252)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 148*q - 709. Let h be c(8). Is 476 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -967*z - 8 + 8 + 557*z to the form a*z + v and give a.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Let i = 0 - 0.1. Let f = i - -0.6. What is the second smallest value in k, f, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/81282 and 63\/12028.\nAnswer: 15768708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -287 + 167. Is 16 a factor of x*-3*2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1967463 litres?\nAnswer: 196.7463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g - 2. Let f be 50\/18 + 38\/171. Calculate x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19210 is divided by 409?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -21\/2530 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/48)\/(117\/78*1\/39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 9*f**2 - f - 7. Let o be m(-9). Suppose 50 = o*z - 22. Let v = z + -22. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2310, -2308, -2304, -2298, -2290?\n\"Answer: y**2 - y - 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 25 = -3*r, -5*j + 3*r = 10. Calculate the remainder when (-1)\/(2*j\/(-38)) is divided by -1 + (-15 + 0)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1720 + -1713. Solve 0 = -3*q - s + 13, t*s = 5*q + 3*s - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:46 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-4*8\/(-32)). Let w(k) = -2*k**3 + 67*k**2 + 33*k + 31. Let m be w(34). What is the second smallest value in j, -6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 36*k**3 + 667392*k**2 - 889904*k + 296640 = 0.\nAnswer: -18540, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000472942 to six decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*g**3*t*w**2 - 3*g**3*t - 5237*g**3 - 66032*t*w**3 - 460 wrt w.\nAnswer: 72*g**3*t*w - 198096*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -5, -53, -11 in ascending order.\nAnswer: -53, -11, -5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 179. Let w = l - 71.0000091. Round w to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -4524.7?\nAnswer: 31672.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8)\/((-105)\/(-84))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 20*x**2 - 8*x + 8. Let i(c) = -c**2 - 1 + 3*c - 6*c**2 - 2. Determine 8*i(r) + 3*z(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/10 and 155\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -8*z - 3*x - 31, 7 = 2*z - x - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + p = -39979 + 6376, 5*v - 5*p = 56015. Round v to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, -806, 5.\nAnswer: -806, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert ce6e29 (base 15) to base 6.\nAnswer: 551001133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(15\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 737677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7 - 12\/7*m**2 + 0*m**3 + 2\/7*m**4 + 16\/7*m.\nAnswer: 2*(m - 1)**3*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3647\/4 - 906. Let c(u) = 9*u - 4. Let n be c(-10). Find the common denominator of n\/(-6)*3\/6 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 - -360. What is the remainder when 578 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7536 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*u + 5 + 9 - 16)*(34 + 17 + 14 - 29) in the form q*u + p and give q.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 715?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v + 1614 - 15924 = 837*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/((-1163)\/186080).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 - 10*u + 5. Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006483 to 4 dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*h - 35*h**2 + 221*h + h**3)*(4*h**2 + h**2 - 4*h**2 - 4*h**2 - h**2 + 3*h**2 + (-4 + 5 + 1)*(h**2 - 4*h**2 + h**2) - 2*h + 2*h - 2*h**2).\nAnswer: -7*h**5 + 245*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (8 + -15 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30883 is divided by 213.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 626, -1 in ascending order.\nAnswer: -5, -1, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 13*d**2 - 12*d + 16. Suppose 2*g - 3*p = 18, -2 - 6 = -4*p. Let q be h(g). Let m = q - 16. Solve m*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 14}. Give prob of picking 3 i.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 31. Is r equal to -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-366)\/(-33) + -12 + 1 + 0. What is the nearest to 356 in -2, -3\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 13692.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3336053976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 11*m**2 - 4*m + 5*m**2. Let k(h) = -h. What is k(c(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3 - -2) - -13. Suppose 6*k + 77 - 17 = 0. Let n = o - k. Calculate the remainder when n is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 44*s**3 - 43*s**3 + 32*s - 12 + 19*s**2 - 7. Let u be f(-17). Calculate the highest common factor of 35 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 50*n - 6. Suppose -a - 8 = -5*z, -3*a - 2*z - 2 = -6*a. List the prime factors of m(a).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -103. Let k = -19 - s. Let q be 43\/9 - (-4)\/18. Solve -3*w = -q*c - 9, 5*w - k = 2*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 3*q**2 + 0*q**2)*(1 - 3 + 0*q**3 - q**3).\nAnswer: -2*q**5 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjzkjjjnnlzzk. What is prob of sequence zlkn?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1191, 1264, 1177, 924, 499?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -958284\/5 + 190656. Let s = 1001 + h. Let y be 1\/(-3)*4\/6. What is the closest to 0.1 in 1\/4, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/3 - 20*i**3\/3 - 50*i**2 + 12*i. Let j(m) = 0. What is m?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*p + 194*p + 270. Sort 4, -3, p in decreasing order.\nAnswer: 4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16904007*-0.3.\nAnswer: -5071202.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4 - (2 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - 11254?\nAnswer: -11225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15190 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 5*j + 3. Suppose 31 = 4*v - 5. Suppose -a = -5*h - 3, -v - 3 = -4*a - 4*h. Let g be u(a). Solve -1 = -5*t - g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-24) - 1\/(-12)) + 70\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(2\/3)*w))\/w)\/(w\/(w*w*(((w*w*w**(-4\/5))\/w)\/w)\/w))*w**2*w*(w**(1\/3)*w*w*w)\/w)\/(w**(-3\/5)\/w**(2\/9))**(28\/9) assuming w is positive.\nAnswer: w**(2602\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 232*z + 46 - 1206. Solve 0*w - w = 5*p + 3, 2*w - 9 = z*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074 divided by -47?\nAnswer: -3074\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445681*l**2 - 891369*l**2 + 445673*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -7\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 834885 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 290685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzp when three letters picked without replacement from zppppppzpzpppzzpzp.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*i + 15 = i, 0 = 4*i - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6943 = -63*n + 7106. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58266960.\nAnswer: 2, 3, 5, 242779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026726905 to four decimal places.\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76506 - -541197447.\nAnswer: 541273953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 172. Let n = -85 - b. Differentiate 13*f + n*f + 30 + 5 wrt f.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -479 and -430 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(4*v - 5*v + 2*v) - 120*v**2 + 67*v**2 - 48*v**2 + (3*v + 0 + 0)*(-3*v + 2*v + 3*v).\nAnswer: -93*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/112*50\/(-25)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 greater than 391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1021, -1995, -2969?\n\"Answer: -974*b - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**5 - 5*w**4 - 97*w**3 - 3*w**2 + 54*w + 6 wrt w.\nAnswer: -240*w**2 - 120*w - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:20 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 27. Let r be (-2)\/a + (-704)\/72. What is the remainder when 58 is divided by r*(9\/(-6) - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/3 - 24*y**3 + 648*y**2 + 103*y. Find b such that o(b) = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 50 = 22. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = d - 31, 105*s - 109*s + 22 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5026.000089925 + 5026. What is u rounded to 7 dps?\nAnswer: -0.0000899","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 45*u**2 - 185*u + 825.\nAnswer: 5*(u - 11)*(u - 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 2, h: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uulo when four letters picked without replacement from unyynluynupuyoo?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 24735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020 + 1009 - 3047 + 1018 - 2329*s**2.\nAnswer: -2329*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 2. Let r be q(2). Suppose -5*g + r = -3*g. Suppose g*s = -0*s. Is s less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2541*y - 2687*y - 5343*y + 2 - 2.\nAnswer: -10571*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/14 and 4\/(-6) - 40663\/(-3768).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-361)\/(-6) + 0 + (-13)\/78. Let j = n + -58. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/170169 and -1\/10.\nAnswer: 1701690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.8870448 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -42. Suppose -4*u = -y*r + 40, 5*r - 108 = -u - 34. Suppose 5*s + r = 34. Solve -s*m - 2*q + 6 = 0, -2*m = -q - 0*q - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r**(-14))\/r))**(1\/2)\/(r*(((r**(-5)*r)\/r)\/r)\/r*r**(20\/7)))**(2\/5) assuming r is positive.\nAnswer: r**(142\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*f - 8766 + 16*f + 8766 as p + h*f and give h.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033542 and -0.5?\nAnswer: 0.016771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -86, -173, -260, -347, -434, -521?\n\"Answer: -87*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -333 and -2.6.\nAnswer: 865.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -79, -95, -85, -43, 37, 161, 335?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*y - 121861, -609377 = -5*u + 500*y - 497*y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-1606)\/13860*-15 - (-1)\/6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -352 - -719. Let g = -366.99999385 + t. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*q + 353*q - 15088 = -714*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17189.83 rounded to the nearest 10?\nAnswer: -17190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12410995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*i + 43. Let m(p) = -80*p**3 - 3 - 79*p**3 + p**2 + 160*p**3 - 8*p. Let o be m(i). Solve 2*r + o = -1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3. Let c(g) = g**2 - 8. Let i(m) = 8*b(m) + 3*c(m). Let j be ((-2)\/6)\/((-2)\/12). Let t(k) = 3*k + 2*k - 4*k + j*k. What is i(t(n))?\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101993 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*b**2 + 18*b**2 + 21*b**2 - 3*b + 3*b - 2*b**2 - b**2 - 3*b + 3*b - 3*b**2 + b**2 + 0*b**2 + (4*b - b - 5*b)*(-2*b + 5 - 5) + 2*b**2 + 0*b + 0*b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*q + 50*q = -129*q - 2420 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72) + 0 + sqrt(72) - (sqrt(72) - 3*(-1 + sqrt(72))))**2 + (sqrt(784)*1)\/((sqrt(64) + 1*sqrt(64) + sqrt(64))\/sqrt(8)).\nAnswer: -569*sqrt(2)\/3 + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snlssmnnxttm. Give prob of picking 2 t and 2 s.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4*(-97)\/(-4074))\/(10\/(-15)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 732*b - 4979520.\nAnswer: 2*(b - 4560)*(b + 2730)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b + 2 + 17*b - 34*b wrt b.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/3 (b) -150 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168457*k*w**2 + 399258*w**2 wrt k.\nAnswer: 168457*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (8\/(-14) - 0) + (-51136)\/56*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1349, -1348, -1347, -1346, -1345?\n\"Answer: v - 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 26 - 66 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.67 - 0.067\nAnswer: -4.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -0.3, 4, -154?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**7\/840 - w**6\/72 + w**5\/40 - w**4\/8 - w**3\/3 - 1. Let r(q) be the third derivative of i(q). Is r(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u - 1. Let g(j) = -2. Let h(m) = 2*a(m) + 6*g(m). Let s(l) = -7*l**3 - l**2. Let o be s(-1). Let f(n) = 5*n - 5. Calculate o*h(x) - 17*f(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1275))\/(156\/(-1560))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1066278*c**3*p**3 + 3683*c**3*p - 307*c**2*p**2 - 2*p**3 wrt p?\nAnswer: 6397668*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -51*s**3 - 11*s + 10. What is o(1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1c2aab8?\nAnswer: 1c2aab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 4 - 4)*(4*x + 2 - 2) + (1 + 1 - 5)*(3*x**5 - 2*x**5 + 2*x**5).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = r + 4*t, 14*t - 10*t + 35 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 825172.19 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + 5.79. Let y = 7 - l. Let h = 7 - y. What is the second smallest value in 0, h, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-10)*(-16)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.3, 12734, -5, 4, -1\/3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1738342 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 2*b + 2*b + 2. Let k be l(-9). Let s be 2\/3 - k\/(-6). Which is smaller: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -1*(-1101)\/(-3). Suppose -3*b = 4*g - 522, 2*b + g - r = 4*g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1624 - 937*c**2 + 887*c + 114*c**2 - 888*c wrt c?\nAnswer: -1646*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -36, -183, -472, -951, -1668, -2671?\nAnswer: -4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -284.802.\nAnswer: -285.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(119)\/(sqrt(56)\/sqrt(8)) - (sqrt(153) + sqrt(153)*-1 + -1).\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 349076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122031081*u**5 + 160220*u**2 + 2*u - 5.\nAnswer: -7321864860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96\/31 - -1751\/155. Calculate the common denominator of b and -17\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5938426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15586825*t**3 - 136546*t + 13 wrt t?\nAnswer: 93520950*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 1\/2*h**4 + 17\/2*h**2 + 185*h + 1\/3*h**3 + 0. What is the second derivative of z(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3 - 377*i**2 - 37674*i - 762048 = 0.\nAnswer: -224, -126, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6811514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3718 - -293720\/79. Which is the fourth smallest value? (a) -1 (b) q (c) 1 (d) 0 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.437 - 0.063. What is the fourth biggest value in -0.1, -0.01, t, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 + -0.04. Let n = -1.5 - -1.4. Let d = -9.2 - -15.2. What is the third biggest value in d, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 21*l - 15. Let o be t(20). What is the common denominator of (-3)\/(-3) - 196\/(-24) and (o - 3) + -5 - (-17)\/(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 8*i - 1. Suppose -3*j = -38 + 5. Is o(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 188.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - j)*(25404*j**4 - 8466*j**4 + 3847*j - 8472*j**4 - 8468*j**4).\nAnswer: -2*j**5 + 3847*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442719 is divided by 1442179.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -4932, -12351, -22740?\nAnswer: -36099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 232332?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 8. Let u = 124 - q. Suppose y = -y + u. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.1715 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 16) to base 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6577*q**2 - 6516*q**2 + 13089*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 10 = -5*d, 29 = -4*d - 0*d + 3*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f + 5*k = 12, 4*k = 16. Let v(o) = f + 5*o + 5 - 29*o**2 + 30*o**2. Is v(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13246 at most -13246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 267 = f + a, f - 73 = -a. Let y = 123 - f. Suppose -5*t - y = -2*j, -j - t + 143 = 3*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - 18) + 34 + -35?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38760*l + 37955*l - 38760 - 2295 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -d - 23, -d = -4*d + 4*t - 55. Calculate the remainder when 59 is divided by ((-14)\/d)\/(4\/90).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4676285 (base 10) to base 13.\nAnswer: -c79643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113535.\nAnswer: 5, 422707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose -5*b = -2*b - x - 13, 4*b - 2*x - 16 = 0. Suppose b*z = -5*d + 55, 2*d + 0*z - 32 = -4*z. Solve f*r + 14 = -d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 - -4) + -1)*2. Suppose -a*c - 7 = 5. Let q be 5*c\/9*-3. Solve k = q*t - 2*k + 37, -3*k - 8 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40470388 to the power of 1\/2, to the nearest integer?\nAnswer: 6362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjhcullhjjczzh. What is prob of sequence cc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*x**4 - 1286*x**3 - x**4 - 12*x**4 + 43*x**4 - 2*x**2 + 2*x to a*x**3 + b*x**4 + z*x + r + i*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4769, -4772, -4775, -4778, -4781?\n\"Answer: -3*o - 4766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 31*t + 37. Let b be v(32). Solve 21 = -2*i - b*q, 5*q + 33 = -i + 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2814*b + 2762. Calculate m(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - 0.2709. What is h rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 4, b: 4, u: 12}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8514.68 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 1, v: 1, c: 5}. What is prob of picking 3 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2297*o**4 + 4*o**2 + 334*o wrt o?\nAnswer: -55128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v - v. Which is the second smallest value? (a) -0.2 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8)*2) - (sqrt(44)\/(sqrt(16)\/sqrt(4)) - sqrt(11)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692, 1239, 1484, 1277, 468, -1093, -3556?\nAnswer: -7071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7*(i\/(i*(((i\/((i**(3\/2)*i)\/i*i))\/i)\/i)\/i))\/i)**(-6)\/((i**1*i)**(-33\/4)*i*i*i\/(i\/i**(-4\/5))*i**(-2\/9)*i) assuming i is positive.\nAnswer: i**(-4903\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76019 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 98688\/2240)\/(-1 + 152\/(-14))\nAnswer: 2\/415","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 29. Calculate the remainder when 60 is divided by j(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89853981 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*b - 28 = -x, -5*x - b = -26. Suppose 4*v = 6*v. Let r = x + v. Solve 2*s - r*n - 4 = -2*n, -3 = 3*s - 3*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*z - 16*z - 1638. Solve z = -2*p + 55 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 2*m + 5*m + (3 + 1 - 6)*(-m + 2*m - 4*m)*(2 - 2 - 10).\nAnswer: -59*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64400 and 995400.\nAnswer: 45788400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 377873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = s - 2643, 6*s - 5*s = 2*q + 2653. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70376, 140302, 209328, 277004, 342880, 406506?\nAnswer: 467432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2299*o + 0 + 4.\nAnswer: -2299*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -7*d**2 + 3*d**2 - 18 + 5*d**2. Let c(x) be the second derivative of 7*x**4\/12 - 9*x. Determine c(y(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 105. Suppose 3 = 4*z - g. Calculate the smallest common multiple of 2 - -7*(2 - 1) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 35*b**2 + 4 + 0*b + 1 - 30*b**2 + 3*b. Let t be l(-1). Solve -t*n - 10 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 61*v**5\/20 - v**4\/6 + 2*v**3\/3 + v**2\/2 - 66*v. What is the hundreds digit of d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.045751, 0.2, 0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-4863*w - 443 + 4865*w + 111).\nAnswer: 4*w - 664","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 1\/541 (b) -0.188 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 608244, 1216486, 1824730, 2432976, 3041224, 3649474?\n\"Answer: g**2 + 608239*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5 - (0 + 2 + -4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7335?\nAnswer: 1\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 10663*d**3 + 2122*d**3 - 3*d**2 - 3*d.\nAnswer: 12785*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 - 0.32. Let y = o + 1.3. Let s be 76\/(-40) - 22\/(-55). What is the nearest to y in 0.3, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 3. Suppose 17 = -4*n - 51. What is the remainder when 53 is divided by i(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -2*j**3\/3 - 185*j. Let v(r) = -6*r. Calculate -7*l(k) + 5*v(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 2*a**2 - 59*a - 1784. Determine j(0).\nAnswer: -1784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/(-2)*(0\/7 - 22). Suppose -5*b + 250 = 3*p, -l = -3*p - 3*b + b. Let s = 118 - p. Do 33 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1771.2 - 1771. What is the nearest to 0 in -1\/6, s, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 4, f: 1}. Give prob of sequence jf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r - 719 - 49*r + 14*r + 17*r.\nAnswer: 2*r - 719","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6668 + 6670 = -2*f, 6*p + 46 = 2*f for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171661 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 7. Let m = z + -5. Suppose 0 = -2*q + 14*q - 144. Calculate the highest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161*n - 1150*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2155*r - 2162*r = -84 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231291, 231183, 231075?\nAnswer: 230967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117917.\nAnswer: 117917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + n, -6 = 4*q - 5*n + 1. Let g(f) be the third derivative of 2*f**q + 1\/8*f**4 + f**3 + 0*f + 0. Let o(m) = -m - 1. Give -g(x) - 4*o(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Let f = 6065 - 6062. What is the smallest value in s, f, -6, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -340.123 at most as big as 2\/369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 765*l - 2 = 768*l, 2*l = 38*z - 36 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = q - 6*q - 1540. Calculate the remainder when 294 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6 - 78. Let w = q - -60. What is the smallest common multiple of 8 and ((-2)\/3)\/((-6)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -2\/15 (d) -1.534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/(-30) - (7 + -4 - (-9)\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (1 + 0 - -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -14. Solve 0 = 3*z - 5*k - 14, 0*z - 4*k = -z + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 326247?\nAnswer: 652494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -0.2\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41459, -82918, -124377, -165836, -207295?\n\"Answer: -41459*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.21981 and 0.718 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -92, 697?\nAnswer: 697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239\/4 + 1143\/20. Do y and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8721*z + 8723*z - 3*i - 16 = 0, -12 = z + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278787000 divided by 152760.\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/5 + 151216*d**4\/5.\nAnswer: -2*d**4*(d - 75608)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.91427 - -2.91. What is o rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22549 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4113799 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*h = -2848, 4*i + 4*h = 5*i - 552. Suppose -4*f + i = -436. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 1, 2\/7, 0.67?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 168 = -168 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9237134 to the nearest integer?\nAnswer: 3039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-182)\/(-8) - 18\/24. Suppose n*m - 81 - 139 = 0. Put 0.3, m, -0.4, 3\/8 in descending order.\nAnswer: m, 3\/8, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in 2, 0.2, -5.4, -1.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12*r**3 + 2*r**2 - 7*r + 16. Let p(h) = 17*h**3 + h**2 - 6*h + 17. What is 3*b(u) - 2*p(u)?\nAnswer: 2*u**3 + 4*u**2 - 9*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 3. Suppose i = f - 17. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/((u\/((u**2\/u)\/u))\/u*u))*u*u**(-2)*((u*u*u**(1\/2))\/u)\/(u*u*u*u**5) assuming u is positive.\nAnswer: u**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, j: 3, l: 1, w: 1, y: 2, e: 1}. Give prob of sequence byej.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*(-18096)\/11020 - 4*1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l - 12. Suppose -4*s = l*t - 29, 2*s = 6*s - 4*t - 8. Is (-21798)\/(-35) + 1\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159501575 a multiple of 6801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -881 - -1278. What is the smallest value in -4, -2, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*z - 3899 - 3669, 3*w + z - 22674 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*((-332)\/(-12) - (-6)\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*m - 28 - 2 = 0, 0 = -5*z + m + 245. Suppose 200 - z = 5*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 - 3) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-3)*(-27108)\/144. Let s = 613 + c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1227115130 - 3?\nAnswer: -1227115133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*f + 130, -4*f + 8 = 2*i - 36. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 297\/(-6) + (-1)\/(-1). Let q = 47 + g. Let u = 236\/15 - 49\/3. Put q, u, -2 in decreasing order.\nAnswer: u, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1260, -1268, -1276, -1284, -1292?\n\"Answer: -8*j - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/4 and 45\/41.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(60*b - 9 + 65*b - 117*b) - b - 2*b + 0*b.\nAnswer: -19*b + 18","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:18 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 273\/(-6) + 6\/4. What is the units digit of (8\/16)\/((-2)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.142 or 247?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 8*x + 59. Suppose -22 = y - x. Is 10 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8282*u**3 - 3681*u**3 - 4218*u**3.\nAnswer: 383*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-308)\/21 - -15 - (-4)\/(-66).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/164 or -1?\nAnswer: 3\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:30 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 3 - 11)*((4*s - 2*s - s)*(-2 + 1 + 2) + 5*s - s - 2*s) + (1 + 2 + 1)*(s + 4 - 4).\nAnswer: -74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**8\/168 - o**4\/24 - o**2\/2 - 3. Let z(f) be the second derivative of j(f). What is the second derivative of z(w) wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94972, -385012, -868412, -1545172, -2415292?\nAnswer: -3478772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4624)\/(-12) - ((-84)\/18 + 4). Which is smaller: j or 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/8266 + -566219\/16532. Let u = r - -34. Which is smaller: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i + 25*i + 23*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1081 (base 11) to base 16\nAnswer: 58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*v + 896*v**3 + 85*v + 112*v.\nAnswer: 896*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2589*v + 13475 = -2414*v for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1671 + 1659.79. Let t = o - -11. What is the closest to 0.1 in 2, t, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-25 - -12) - -1) + 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16109668.5 rounded to the nearest one thousand?\nAnswer: 16110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -17710 and 37665 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 z when three letters picked without replacement from zpngzpp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4, a + 109*h - 7 = 107*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413, 199, 4 in decreasing order.\nAnswer: 413, 199, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*m - 107*m + 4*k, m + 2*k = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 + 87*u - 87*u + 5*u**3 wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/30 - d**5\/20 + d**4\/12 + d**3\/6 + 22*d. Suppose z(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuss when four letters picked without replacement from ssssuuu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let s(y) = -697 + 2881*y**2 - 601*y + 110*y - 206*y + 1875*y**2. Let f(o) = 41*o**2 - 6*o - 6. Let l(t) = 697*f(t) - 6*s(t). Give l(c(v)).\nAnswer: 164*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - (-48)\/(-40). Sort 1, 2, v in descending order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 3 - 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - v**2 + 1. Let k be q(1). Let r be (k\/(-4))\/((-3)\/(-210)). Suppose -r = -2*t + 4*o + o, o + 55 = 2*t. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let m = 0 - 0.02. Let g = m + 3.02. What is the smallest value in r, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15601610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + (-8 - -1))\/(2\/(-8)). Let f be r\/(-8) + (-1)\/1. What is the third smallest value in -4, f, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25262342*u**4 + 2701338*u**2 wrt u?\nAnswer: 606296208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(168\/(-15) - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003794546 to 7 decimal places.\nAnswer: 0.0000379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94, 191, 348, 565?\n\"Answer: 30*b**2 + 7*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(3*sqrt(9)))**2 - sqrt(2))*3.\nAnswer: -3*sqrt(2) + 2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16761 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19cad23 - 1a?\nAnswer: -19cad3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 + 8)\/((-2)\/8). Suppose 0 = b*m - 1022 - 3066. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -5*q + 2*f + 9*f - 21*f - 18, 5*q + 3*f + 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r**3 - 1)*(4*r**2 - 2*r + 0*r - 2*r**2).\nAnswer: 2*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3720\/(-1953)*(-3)\/(-2))\/((1680\/(-98))\/20)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -133. Suppose -4*r + 10 = 30. Let a(m) = m**2 + 4*m + 6. What is the smallest common multiple of a(r) and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12591928?\nAnswer: 2, 971, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 123*n**7\/7 + n**3\/3 + 12*n**2 - 233. Find the third derivative of q(x) wrt x.\nAnswer: 14760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/324 and -151\/30.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/2))\/i*i\/(i\/i**(1\/18)))\/(i**(1\/26)\/((i*i**(5\/8))\/i)) assuming i is positive.\nAnswer: i**(133\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -3, 2.4, -3\/4, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:09 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 11:04 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 67718013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -2a3a8?\nAnswer: -2a3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o + 4*o + 0*o)*(2 + 2*o + o + 4*o) as u + m*o + n*o**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 11. Let t(o) = 8*o - 11. What is the tens digit of t(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7228254696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70860000 rounded to the nearest one million?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gfagggcjfa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 43029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 324572 (base 9) to base 3\nAnswer: 100211122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 78. Calculate the common denominator of 97\/6 and (p\/4)\/((-5)\/(-3)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2580639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -438.9703972 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128659 is divided by 289.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 4*y + g + 450 = 8*y, -y + 3*g - 119 + 13 = 0 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72064860?\nAnswer: 2, 3, 5, 7, 171583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*h - 268*h - 25 = -138*h - 3*l, -7*h + 76 = -l for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728181 by 9.\nAnswer: 80909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 + -96. Let r = 24 - s. Calculate the least common multiple of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 7*d + 13*s - 17*s, 5*s = -2*d + 3*s + 110 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d - 269. Let s be y(-7). Let m = s + 132. Solve -4*h - 12 = -7*t + m*t, 0 = h + t + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, -1, -37 in decreasing order.\nAnswer: 4, -1, -2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3010 is divided by 92?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 7*m**2 + 7*m + 6. Let k be q(-6). Let g = 4 - k. Suppose -1679 = -5*f - g*v, 5*v - 1281 + 271 = -3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/6558568 and -57\/26234272.\nAnswer: 26234272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3824 + 3834. What is the smallest common multiple of 1197 and c?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*t = 637978 + 1104044 + 103349. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*a**3 + 5*a**4 - 11*a**4 - 50*a + 31*a**3 wrt a?\nAnswer: -72*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8\/21))\/(o*o**(-6\/19)\/o*o)*o*o\/o**(10\/11)*o**(11\/3) assuming o is positive.\nAnswer: o**(6865\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5250 - -42073\/8. Find the common denominator of -83\/20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -62*x + 209. Suppose -11*j - 16*j = -162. Let m(z) = -5*z. Let o(c) = j*m(c) - l(c). Differentiate o(v) with respect to v.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373243 is divided by 5431.\nAnswer: 3935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:47 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/(2\/(-44)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11540 is divided by 62.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1106)\/(-6) + 4\/(-3). Suppose v = -o - v + f, -4*v - 334 = -2*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/((-2)\/60). Let l(t) = -t**3 - t**2 + 2*t + 36. Let g = -14 - -14. Let f be l(g). What is the highest common factor of f and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219292861.\nAnswer: 79, 2775859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-5*v**4 + 2*v**4 + 4*v**4)*(v + 8395 - 8418 + 390*v).\nAnswer: 782*v**5 - 46*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23342 (base 8) to base 5\nAnswer: -304304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/7)*g)\/(g*g*g**1)*g**(-2\/11)*(g*g\/(g**2\/g))\/g*(((g*g**(-1\/4))\/g)\/g)**(2\/119)*g**(-8)\/g*g*g*g**(-5\/3) assuming g is positive.\nAnswer: g**(-94345\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -839 - -3289. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75147.29 to the nearest 100.\nAnswer: 75100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 3*z - 5*y - 1839, 3409 = 5*z + 2*y. Calculate the remainder when z is divided by 114.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 112)\/((-1)\/3) + 0. Let v = 355 + u. Solve -5*r + r - v = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/427 and 107\/2437568.\nAnswer: 148691648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.3821 centuries in years?\nAnswer: 69038.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 269*f**2 + 4 + 43*f**2)*(-1 + 0 + 3) to h*f**2 + m*f + c and give h.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -81. Let r(z) = z**2 - 28*z + 112. What is the hundreds digit of r(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99864863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8334726234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 240 = -c, -y = -6*c + 7*c - 80. Let z be ((-8)\/y)\/((-8)\/30). What is the closest to 0 in 1\/2, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 26 - 38. What is the least common multiple of ((-15)\/12)\/(2\/(-24)) and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from {u: 7, i: 1, e: 2, m: 8}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 17*z**2 + 2*z - 3. Let y be p(-10). Let w be y\/65 - (-1)\/5. Let m(k) = -26 - 5*k + w. Let h(c) = c. Give h(m(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0 + 3. Suppose -2*g = -z + 7. Let i = 4 + g. What is the greatest common divisor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 3*o + 9 = 9*i, 5*o = 11*i + 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 25. Let p be w(-10). Suppose -p*s = 4*y - 4341, -3262 = -3*y - 3*s - 2*s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mygxmgymvwy. Give prob of sequence ywg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -22*v - 190. Calculate the lowest common multiple of 350 and z(-10).\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m**2 - 1. Suppose 4 = -0*u + u. Let j(y) = 8*y**3 + 7*y**2 + 6. Let x(l) = u*j(l) + 28*b(l). Find the first derivative of x(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4303 is divided by 2144.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 415 + 11755. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*j - 381*j - 249 = 244*j + 7437 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 12 - 32. Suppose -p = l - 0 - o, 5*p - 2*l + 1 = 0. Solve -5*k = -p - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1262645, -1262664, -1262695, -1262738, -1262793, -1262860?\nAnswer: -1262939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158 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: Which is the nearest to -5\/2? (a) -47 (b) -0.2 (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 109. Let y = -41 - u. Suppose -4*n - 328 = -2*l, -y*l - 5*n + 143 = -158. Round l to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2641.\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 247, 481, 715, 949?\n\"Answer: 234*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011868 is divided by 530?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0.6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggagooggoooaagoo. Give prob of picking 2 o.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:26 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*l = 1, 4*p - 2*p - 2*l = 4. Solve 2*s + 5*d = -0*s, -2*s = -p*d - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - (2 - (3 + -2)). Suppose -4*s = -0*s - q*s. Suppose s = -o - 2*k - 11 + 3, -4*o + 3*k = -12. Solve -12 = -5*r + 5*p + 33, 4*r + 4*p + 4 = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222.944 - -0.056. Let f = -222.99396 + k. Round f to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.7 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559 - 6553 = -247*l - 91*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**6\/120 - x**4\/24 + x**2\/2 + 2*x. Let s(t) be the first derivative of u(t). Find the second derivative of s(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 - 70 + 191 + 12119*s**2 as m + f*s**2 + g*s and give f.\nAnswer: 12119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 11. Let m be 3*(-77)\/99*3. Let n(t) = 5. Calculate m*n(u) - 3*g(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2159*2.\nAnswer: -4318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z - 90*z - 308 = 1048. Which is smaller: z or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/3 - 12\/36. Calculate the greatest common factor of 77 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d**2 + 4*d + 4. Let v = -235 - -233. Let z be y(v). Solve -5*c = 3*i - 25, -2*i + 4 + z = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-18)\/30)*(1 - -4). Let c be (0*(-3)\/o)\/(-1). Let v(b) = -b**2 - b + 67. What is the units digit of v(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + -1 - sqrt(143)\/(1*sqrt(11)).\nAnswer: -1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g. Suppose -13*y + 8*y + 2*u + 65 = 0, -4*y + 3*u + 59 = 0. Let t(f) = 7*f + 13 - y - 2. Determine j(t(q)).\nAnswer: -98*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3162015?\nAnswer: 3, 5, 29, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let j(r) = -36*r - 2. Calculate j(a) - z(a).\nAnswer: -37*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/202618 and 61\/2286?\nAnswer: 231592374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 3*b + 50)*(94 - 58 - 62) to r + p*b and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52392798 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335589 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 - 20*z + 14*z + 4*z + 3*z - 9 as h*z + s + x*z**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62892 is divided by 1164.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 69 = -4*i, -4*i = j - 0*j - 7. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 44. Let q = u + -16. Solve 31 = 5*j - 2*h, -3*j = -q*j - 2*h + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 39.\nAnswer: -3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8726 greater than or equal to -8726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 142\/36 + 1 - (60 + (-76112)\/1278)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3172 - 310 = -2*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + 4*z + 5*z**2 + 3*z**3 - 2*z**3 to the form x*z**3 + t*z + o*z**2 + i and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7045\/908 - 2\/227. Calculate the common denominator of f and 13\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -524848*f**3*z - 35*f**3 - 2*f**2*z - f**2 - f*z + 43*f - 16*z + 229 wrt f.\nAnswer: -3149088*z - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28873*p - 29371*p + 10458 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y - y**2 + 1\/2*y**3 + 0*y**4 + 0 - 1\/120*y**6 + 1\/20*y**5. Let z be h(3). Solve 1 = -3*a + 5*l + z, -3 = -2*a + 5*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818 divided by -909?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -10291*o**2 - 9 + 5144*o**2 + 5148*o**2. What is n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.128 + -0.1213. Round v to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let b(m) = 34*m - 1. What is b(d) + 3*i(d)?\nAnswer: 31*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/17 in 16, -1\/4, 2, -279, 70?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/33 = 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - -58) + 0 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 + 1324*w + 181 - 506*w - 92 + (6 + 7 - 5)*(-2*w - w + 5*w) to n + s*w and give s.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 19*u**3 - 5*u**2 + 3*u**2.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -372 and -0.2?\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**8\/3360 + 7*h**3\/6 + h. Let w(n) be the second derivative of x(n). Find c such that w(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 0.169\nAnswer: 4.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157.6162 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*1\/(-1). Let p be 2\/((-3)\/(-5) - d). Let f = 29.1 + -29.6. Which is the second biggest value? (a) f (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1638 and 3843.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 - 9*h**4 - 34*h**3 + 114*h**2 + 225*h - 297 = 0. What is h?\nAnswer: -3, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -2, -7400, 1\/5 in ascending order.\nAnswer: -7400, -4, -2, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.79691kg to milligrams.\nAnswer: 11796910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnll. What is prob of picking 3 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = 0, 5*p = p + 3*z + 95. Let t be p*((-32)\/(-20) - 0). Suppose 0 = -3*r + 19 + t. What is the highest common divisor of 34 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1971*i + 10176. What is the thousands digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -17789\nAnswer: -2\/17789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 1 n when three letters picked without replacement from nbjnjq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26\/2525 + 3\/101. Let r(s) = -s**2 - 26*s + 14. Let w(g) = 25*g - 13. Let k(a) = -2*r(a) - 3*w(a). Let u be k(11). Is f at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 14*n - 275. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - (-17 - -38))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 118\/5, 0.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/(72\/6)*(-455)\/(-26).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 15*u + 7. What is n(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 595, 898?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-18)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -1cd1?\nAnswer: -1ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1300\/55120*-53*(-36)\/7?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28 + 0.02. Let b = -8.3 + k. Suppose -3*s = -2*s. Sort s, b, 1.\nAnswer: b, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3970398 and -628396?\nAnswer: 3342002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:21 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53706, -107536, -161376, -215226, -269086, -322956?\n\"Answer: -5*f**2 - 53815*f + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 37, -125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(147) + -3*(1 + sqrt(147) + sqrt(147)) + sqrt(147) + ((sqrt(147) + 1)*2 - (3 + sqrt(147)*2)))**2.\nAnswer: 280*sqrt(3) + 2377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n - 3*s, -35 = -5*n - 4*s. Let k be (6\/(-14))\/(9\/(-12)). Suppose 10 - 30 = 4*j - g, 2*j - 4*g + 24 = 0. Put n, k, j in decreasing order.\nAnswer: n, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -16658?\nAnswer: -16658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 48 = 29*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(175)*3 + 4 + -5)*5 + 2)**2.\nAnswer: -450*sqrt(7) + 39382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*q**2 - 1 + 3*q**3 + 1 + 1260*q**2.\nAnswer: 3*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*h**2 + 111*h**3 - 98*h**3 + 276*h**3 wrt h?\nAnswer: 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/6 - 4)*1*-14. What is the third derivative of -y*j - 26*j**3 + j**2 + 12*j + 52*j**3 + 20*j wrt j?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q. Let o = 5 - q. What is the third biggest value in -0.1, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 12752425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139808, 139850, 139906, 139982, 140084, 140218?\n\"Answer: j**3 + j**2 + 32*j + 139774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfkbntlbl. What is prob of picking 1 t, 2 l, and 1 f?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 + 2)*(0 - 2\/(-4) - (-462)\/660).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaz when three letters picked without replacement from {z: 8, a: 2, i: 5}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1238645353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(5*30\/(-20)))\/(12\/45)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2212 - -4215?\nAnswer: 6430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55304.\nAnswer: 2, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:47 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11391 - 2141 = -4*f. Let q = f + -1548. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5c97 + 44?\nAnswer: c5cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 36.6699ms?\nAnswer: 36669.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 100 = 29*q. Let i(p) = -p**3 + p**2 - 2*p - 2. Suppose -4*w = 3*j - 2, -j - 3 - 3 = -2*w. Calculate the least common multiple of i(j) and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in -1606, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 53*l**2 + 3568*l + 1909. Let t be m(92). Find y, given that t + 3*y**2 - 279\/2*y = 0.\nAnswer: 1\/2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -w + 4*c, 0 = -2*w + 5*c - 14 + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18424 = -5*l + 2*a, 0 = l + a - 3*a - 3688. Is ((-2)\/3)\/((-8)\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/133, 660\/7, 0.03, -0.5.\nAnswer: -0.5, 2\/133, 0.03, 0.4, 660\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a4c (base 14) to base 15.\nAnswer: -2361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369293 to the power of 1\/2, to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -0. What is the units digit of -1*s\/((-4)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + 4*n**2)*(16 - 6 + 126*n**2 - 8).\nAnswer: 504*n**4 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67383880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7*n = 52360 + 31496. What are the prime factors of n?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/12 + 2*r**3\/3 - r**2\/2 + 5*r. Let g = 4 - 1. Let f be i(g). Solve 3*k + a + 14 = 0, -a + f = -2*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*114*4140\/2185?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7090\/6)\/(9\/27). Suppose b = 10*k + 1205. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 24 = 12. Determine d, given that -2*d - d - b*d**2 + 8*d**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -1, 0.151, 5, 0 in increasing order.\nAnswer: -52, -1, 0, 0.151, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from oazz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*m - 5*m - 4*m)*(-1 + 3 - 1) + 0 + 0 - 2*m + 2*m + 0*m - 3*m as w + s*m and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, 10, -52 in ascending order.\nAnswer: -52, -4, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/3 - 3*l**4 + 4*l**3\/3 = 0.\nAnswer: 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -19*o**2\/2 - 5*o + 1. Suppose -2*u = 41 - 33. Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 3, 878?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 21*g + 4. Let o be u(-21). Suppose 4*x + 3*w - 194 = 0, -o*x = 4*w - 3*w - 198. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -9 + -18 - 1 - -14\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/1)\/5)\/(10\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 + 64 - 108)*(2*g**3 - 2*g**3 + 1 - g**3).\nAnswer: -66*g**3 + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 60. Solve 0 = c + b - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reheoreeoereoeeeree. What is prob of sequence roee?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/6 - (-290)\/(-12). Calculate the remainder when 29\/(-9) + 2\/9 - v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 - b + 6. Let n be c(5). Let m be n*(-4)\/((-8)\/(-10)). Let f be 46\/28 - (72\/63 + -1). Put 1, m, f in decreasing order.\nAnswer: f, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 3*b**2 - 144*b - 20. Let t(k) = -k**3 + 2*k**2 - 146*k - 17. What is 7*t(v) - 6*w(v)?\nAnswer: -v**3 - 4*v**2 - 158*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 235523 = -406034. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75274388.9 + -75270881.901801. Let j = 3507 - r. What is j rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*m*w**4 + 54*m*w + m - 160*w**4 + 35*w**2 - 1541*w + 2 wrt w.\nAnswer: 3336*m*w**2 - 1920*w**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2. Suppose 4*l - 9*l = -25. Let m(i) = l + i - 3 - 2. What is w(m(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 8*k - 5*k)*((94 - 65 + 115)*(0 + 2 - 3) - 1 + 1 + 1 + (6 - 1 - 1)*(-1 + 0 + 2)) in the form o*k + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmuuzumzmvzuuummn. What is prob of sequence uv?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(320*k - 75 + 199 - 56 - 66).\nAnswer: 640*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7.1. Is i at least -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a second in milliseconds?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**5 + 10*q**4 - 3*q**3 - 11*q**2 + 4. Let f(g) = 5*g**5 + 21*g**4 - 5*g**3 - 23*g**2 + 9. Let p(j) = -3*f(j) + 7*n(j). Let p(y) = 0. Calculate y.\nAnswer: -1, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3566 - 3444. What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 732281, 1464563, 2196847, 2929133, 3661421, 4393711?\n\"Answer: b**2 + 732279*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51 + 0\/(((-4)\/(-1))\/4). Let a be 17\/z - 2857\/21. Let k = 136 + a. Sort k, 0.1, 0, -12 in decreasing order.\nAnswer: k, 0.1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 2*n = -8*p + 10, -2*p - 14 = -4*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -52.8. Round u to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171296114 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189\/5 + 38. Let v = -0.31 + 0.01. Which is the third biggest value? (a) v (b) -1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 409, 479, 569, 685, 833, 1019, 1249?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.451 - -0.049. Let y be (1\/(-2))\/(10\/(-20)). What is the smallest value in -0.1, -0.4, y, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331274590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*12\/(-72)*-4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/8)\/((-49)\/142910922). Let u = -1093820 + k. Let f = 449\/4 + u. Is -2 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156991281557*v - 156991281557*v - 8*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/4 + 9*b**4\/4 + 165*b**3\/2 + 405*b**2\/2 - 327*b\/4 - 819\/4 = 0.\nAnswer: -7, -3, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19112, -38289, -57544, -76871, -96264, -115717?\n\"Answer: f**3 - 45*f**2 - 19049*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5696\/(-19))\/2 + 1. Let y = p + 149. Which is the second smallest value? (a) y (b) -0.1 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009996387 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 33, 55, 93, 153, 241, 363?\n\"Answer: s**3 - s**2 + 8*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -243 + -2b440?\nAnswer: -2b683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2\/47 (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2516 + -1273. Is s 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 357 and 33327.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 11. Let w(y) = y**2 + 2. Let n(c) = 2*t(c) - 11*w(c). Let g(v) = 8*v**2. Determine n(g(h)).\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/16 and -71\/19120?\nAnswer: 19120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*f + 3259 = 0, -155*h + 153*h - 4*f + 1294 = 0. Calculate the remainder when h is divided by 180.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 481 + -487. Let u be 4\/j*18\/(-48). Suppose -5*w = -2*z + 105, 4*z + 27 = -3*w - 10. Which is the smallest value? (a) w (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48061483477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + a + 58, -a + 21 = 2*i + 2. Let x be -4 - ((-313588)\/24)\/i. Let v = x - 1181. What is the common denominator of 5\/22 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127076505*m**3 - m**2 + 3344580.\nAnswer: -762459030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = -2*v + 1164, -5*v - i = -2922. Is 46 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o - 372. Calculate the highest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -898457954.389399 - -898458370. Let i = z - 557.61052. Let y = i - -142. Round y to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13241341 + 10?\nAnswer: 13241401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - w = -4*m - 15, -2*w + 10 = -2*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 11843884?\nAnswer: 11843889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 - y**2 - y - 1. Let g be m(-1). Suppose 105 = g*t + 3*o, -4*t - 4*o + 4 = -72. Let p = 37 - t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449000 rounded to the nearest 10000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -7, 5, -2\/79, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(-5)\/10*(-126)\/1 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1 - -1 - (-14)\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 + 7*p + 5. Calculate z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -28. Let s(j) = -4*j - 39. Calculate the smallest common multiple of s(r) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5434 + 5473. Let m(j) = -2*j**2 + 77*j + 42. Calculate m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66280 divided by 66280?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -7, -1, 353 in decreasing order.\nAnswer: 353, 1, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -9. Suppose 0 = -3*z + q*z - 400. What is the tens digit of (6\/5)\/(3\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 1. Let w be h(5). Let k = -8 - w. Suppose -2*f - 1 = -k*l + 3*f, -l + 4*f - 2 = 0. Solve -l*g + 7*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1195342 + 1195341 - 2390681 - 2543*y in the form n*y + i and give n.\nAnswer: -2543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*t - 7, -53 = 2*z + t - 58 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**5 + 60*p**4 + 59*p**3 + 23160*p + 6 wrt p?\nAnswer: 100*p**3 + 720*p**2 + 354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020210021 (base 3) to base 2.\nAnswer: 110000000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1799, 7267, 16389, 29171, 45619, 65739, 89537?\n\"Answer: a**3 + 1821*a**2 - 2*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4 + 10. Let u = t + -3. What is the second derivative of u*o**3 - o + 3*o**3 + o + 3*o wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3)*15\/(-10). Let k = 9 + q. Solve -f + k = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -46\/7 (c) 0.4 (d) -1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Suppose c - 6 = -n*c. Solve c*l = -l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t - 5*w + 7, 4*w - 22 = -5*t. Factor c**3 - 5*c**3 + c**3 + 2*c**2 + c**t.\nAnswer: -3*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/(-45)*13\/(-156)*-18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*h**3 + 26 + 8 + 705*h**3 + 2 - 342*h**3.\nAnswer: h**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:55 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 5. Let d(j) = -4*j**2 + 3*j + 6. Let z(i) = -3*i**2 + 2*i + 5. Suppose 88*h - 81*h + 28 = 0. Calculate f*z(v) + h*d(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 467663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbb when four letters picked without replacement from {b: 17, w: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1996 = -r, 4*r + 11 + 5 = 0. Round i to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 5*g - 2. Let c be s(3). Let o be (-14)\/(-35) - 576\/c. Let x = o - 4799\/40. What is the common denominator of x and -51\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22746 is divided by 812.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.93242 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127.9 - -128. What is the second smallest value in -0.4, -0.1, s, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -1.8. Let u = -0.1 + 0.3. What is the second smallest value in w, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -152, -224, -350, -542, -812?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 410602, 821170, 1231738?\n\"Answer: 410568*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/22 + -4 + 10 + 11 + (-1202)\/100.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.99 + -6. Let b = k - -0.21. Let t = 0.6 + -0.7. What is the smallest value in b, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8097*j**4 - 2017*j + 1?\nAnswer: 97164*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -397 - -401. Sort 0, 5, n, -1 in decreasing order.\nAnswer: 5, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76110 divided by 6\nAnswer: -12685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7783*p + 59*z + 120 = 7785*p, 0 = 3*p + 2*z + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from opvvrvpvr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014342 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2533\/2 - -1265. Put 5, 1, -1, y, 22\/17 in increasing order.\nAnswer: y, -1, 1, 22\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 25*b - 14. Let g be a(1). Suppose 3*i + 4*o - 7 - 22 = 0, -i - 4*o = -23. List the prime factors of i*g - 13\/13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5318737 + -2642747. Suppose -5*z + 1900614 + 1444388 = -a, -y = -4*z - 5*a. Round z to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 7*w + 9. Let i be a(-6). Suppose 8*r - 6 = 6*r. Factor -105\/2*g**i + 131\/4*g**2 - 1225\/4*g**4 + r*g - 1.\nAnswer: -(5*g - 1)**2*(7*g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 71209280.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44103 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37010 + 37014. Solve 6*x + 5 = 3*m + 11*x, m - a*x = 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:31 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 168 = -41. Suppose 0 = -2*h + 103 + 7. What is the highest common divisor of o and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 64 in descending order.\nAnswer: 64, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 494*s + 8865. Give b(-18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-228)\/(-64))*(-27)\/54\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32236?\nAnswer: 2, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116366*v**2 - 2188*v - 232724*v**2 + 116360*v**2 - 1)*(5 - 3 - 1)*(2*v - 2*v**2 - 2*v).\nAnswer: -4*v**4 + 4376*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*o**3*x - m*o**2*x**2 + 125*m*o**2 - 13*o**3*x**2 - 3*o**3*x - 2*x**2 wrt o?\nAnswer: -12*m*x - 78*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -23972.59 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -77. Suppose -14*q = -a*q - 24. Solve -5*h + 4*s = -29, -3*h + 2*s + q = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 + -2.1. Which is the second biggest value? (a) 1 (b) -9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-g + g - g**2 + (-982*g - 1365*g - 3920*g)*(-g + 2 - 2)).\nAnswer: 12532*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttttvtv. What is prob of picking 3 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/22 + 4\/22. Suppose g = 4*r, 5*o + 0*o = -3*r - 3050000. What is o rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = -0*d. Let y(x) be the first derivative of x**4\/12 + 2*x**3\/3 + x**2 - x - 1. Let p(j) be the first derivative of y(j). Calculate p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -1247432?\nAnswer: -22453776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:08 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 6*s - 20. Let l be d(-4). Suppose -3 + 2 = -b. Sort b, 5, l in decreasing order.\nAnswer: 5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/2247*(-6)\/1*(-7)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -309181*h + 312746.\nAnswer: -309181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, -21, -4 in descending order.\nAnswer: -4, -5, -20, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2124499 + 595281\nAnswer: 2719780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29a82 - -3?\nAnswer: 29a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 989 + -938. Calculate the greatest common divisor of y and 2703.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -12*b**4 - 1040*b**3 + 102932*b**2 - 1275496*b - 896384 = 0.\nAnswer: -149, -2\/3, 16, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3013, 2.\nAnswer: 2, 5, 3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 7*w**2 + 18. What is u(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*s + 18 = 2, -5*y = s - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*k + 3*k, -4*k = 4*x - 20. Solve 2*v + 7 = -o, -5*v = -4*o - k*v + 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - 31. Suppose 0 = 3*o - f - 22. Let j = 139 - o. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489976 divided by -292\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157889 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o**2 - 112427*o - 659208?\nAnswer: -6*o - 112427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - 61*t**2 - 17*t - 35. Let y be i(-15). Let g = -50 + 101\/2. Which is the closest to -1? (a) g (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 0. Suppose -2*n + 4*s = -c - 63, -78 = -2*n + 5*s. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*s - 34, -r + 4*s = -400 + 438 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:53 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 - 806008*n\/11 + 219822.\nAnswer: -2*(n - 3)*(n + 403007)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*k - 7, -4*k - 3*p = 9 + 8. Sort k, -5, 5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.6741 years in months?\nAnswer: 11588.0892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (2 - (-18)\/(-14)). Let q = -16 + 13. Which is the second smallest value? (a) n (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 2. Suppose 4*b = 3*w - 0*w - 7, -4*w = 4*b - 28. Let t(o) be the second derivative of o**5\/2 + 11*o**2\/2 - 7*o. Determine b*t(c) - 11*m(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1600)\/(-1)*(748\/(-55) + 14). Let d = w - 623. Solve 5 = -3*g + d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3 + 1137*b**2 + 6203 wrt b.\nAnswer: -3*b**2 + 2274*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 10 (c) -2\/135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11894 and 7562?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**5\/60 - m**3\/2 - 29*m**2\/2 + 18. Let q(j) be the second derivative of c(j). Calculate q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 354932*h**3 - 2492*h. Let c(n) = 712*n**3 - 5*n. Determine -5*b(v) + 2492*c(v).\nAnswer: -356*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001 - -1?\nAnswer: 110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4 - 4. Suppose 4*w - 1997 = -k, -4*w + 1994 = 2*k - s*k. Suppose x - w = -8*c + 4*c, 5*x + 476 = 4*c. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (168\/2016)\/((-4)\/(-18))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -347*i + 352*i + 2*a + 20, 3*i + 3*a = -21 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483725967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*n + 3, -3*b = -4*n + b - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 709 - 360. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2317139\/360 - 32187\/5. Find the common denominator of -77\/48 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -16\/7, -1\/17, -5 in descending order.\nAnswer: 0.2, -1\/17, -16\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 5*q**2 + 4*q + 2. Let a(p) = 4*p**3 - 4*p**2 + 3*p + 1. What is -4*a(o) + 3*x(o)?\nAnswer: -7*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3 + 927*n**2 - 535188*n + 1066660 = 0.\nAnswer: -1330, 2, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-72) + (-64)\/(-9). Solve 10*n = x*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x**3 - 102*x**2 - 21*x + 6. What is d(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 77*u. Let n(w) be the second derivative of w**3\/3 + 27*w. What is h(n(v))?\nAnswer: -4*v**2 - 154*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*r**2 + 3 + 445*r**2 + 163*r**2 - 1147*r + 1145*r in the form g*r**2 + n + j*r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 37. Let y(g) = -67*g + 68*g + 4 + j*g**2 - 2*g**2 + g**2. Is y(3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(45) - (sqrt(720) + 0)) - (6*sqrt(30)\/sqrt(3))\/(sqrt(20)\/(sqrt(40)\/sqrt(4))))**2.\nAnswer: 150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 497*j**2 + 1047*j**2 - j**4 - 526*j**2 in the form i*j + m*j**4 + g*j**2 + o*j**3 + c and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*w**2 + 105*w + 3789?\nAnswer: 10*w + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 4 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22164397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, 0, 931 in increasing order.\nAnswer: 0, 254, 931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 - 5*d - 3*d**3 - 2*d**3 - 2*d**4 - 2*d**2 + 3 to the form h*d + y*d**2 + s + q*d**4 + w*d**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112560 by -670.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1787722856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 58*g**2 + 51*g - 59. Let m(o) = 10*o**2 + 9*o - 10. Let a(j) = 4*h(j) - 23*m(j). Let r(i) = -i + 10. Let k be r(6). Determine a(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42610 is divided by 10633?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3*m**3 - 40*f**2*m**3 + 16*f*m + 3*m**3 wrt f.\nAnswer: -24*f*m**3 - 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 244973 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-36)\/135)\/((-4)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37687*8.29\nAnswer: -312425.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*q + 2187 - 446 - 331 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from dwcjyuj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.80031, -1\/10, -3\/4 in decreasing order.\nAnswer: -1\/10, -3\/4, -0.80031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1235103 + -12?\nAnswer: 1235051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 14) to base 9.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r. Let h(a) = -57*a**2 - 2 + 2 + 150*a**2 - 68*a**2. Calculate h(y(q)).\nAnswer: 5625*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 + w**2 + 85*w**3 - w**4 - 83*w**3 as g*w**4 + n*w**3 + z*w**2 + h + f*w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 + 0.05. Let a = 0.2 - c. Let r = 4.92 + 0.08. What is the nearest to -1 in a, r, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15490293?\nAnswer: 3, 7, 13, 23, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2841 < -3133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24371*w + 15*q = -24376*w + 220, -3*q = 4*w - 41 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*l + 4*t, -l + 2*t + 2 + 7 = 0. Solve -3*j + 7*c - 19 = 2*c, 0 = -5*j + c - l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46588.91 millilitres in litres?\nAnswer: 46.58891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c + 4*c + 53 - 105 + 47.\nAnswer: 34*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -15)*(-75)\/(-2). Let y be 2 + m\/9 + 1. Let s = 39 + y. Which is the third smallest value? (a) -1\/6 (b) -3\/8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 38 = 4*p - 4*x, -5*x = 3*p - 2. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 22*f - 16. Let n(s) = 35*s + 287. Let o be n(f). Solve 27*a + o = 20*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let h be -2*((-9)\/2 + 2). Let f(b) = b + h*b - b - 4*b. Calculate c(f(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304632 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 23*b**2 + 51*b + 211. What is z(-21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -116?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001100111 (base 2) to base 3.\nAnswer: -112012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -25, -36, -61, -106, -177, -280?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6474, -2591, 1292, 5175, 9058, 12941?\nAnswer: 16824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 y when three letters picked without replacement from qbbqbyqbyyyybqy.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-156)\/(-117))\/(4\/6). Suppose 4*g - 4*d = -v*g + 31550, -2*g + 10510 = -3*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/648 and -89\/576.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 - 4695*x**2\/2 - 75339*x\/4 + 42363\/2.\nAnswer: 3*(x - 3138)*(x - 1)*(x + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*d**3\/5 - 189*d**2\/5 - 18*d\/5 + 3\/5.\nAnswer: -3*(3*d + 1)**2*(12*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 13 + 22. Factor h*u**2 - 3*u**2 + 3 - 11 + 0*u - 4*u.\nAnswer: 4*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 298805, 597606, 896401, 1195190, 1493973, 1792750, 2091521?\n\"Answer: -3*x**2 + 298810*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59582723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 14*l = 66. Solve h - 11*y - 8 = -15*y, 2*h = -l*y - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 30*v + 146. Give z(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 1. Let m be p(-3). Let h(x) = x**2 + 5*x + 7. Let v be h(m). What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 324 + 321 - 632 + 6*h**2 + h**2 - h**2 - h**2 + (5*h - 4*h + h)*(2 - h - 2) as k*h + m*h**2 + q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 29, 81, 163, 281, 441?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01777 rounded to four dps?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7477*a. Let v(h) = 4*h. Give l(v(j)).\nAnswer: -29908*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22632630 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 - 37?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 4*b**2 + 0*b**2)*(-1 - b + 1) - 6*b - 114*b**2 - 8*b**3 + 114*b**2.\nAnswer: -7*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from bbcccbbbccbcc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26200.42 take away 269?\nAnswer: 25931.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2 + 32*j - 31*j - 2 - 4. Determine f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -1. Let u be (w\/(-6))\/(2\/4). Let g(q) = -q. Let j be g(u). Solve k = j*n, -2*n - k = -2 - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0020237 to 2 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 582 and 6915130.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*i - 3*v, -4*v + 7 = i - 9. What is the highest common factor of 12 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*228*21\/(-2016)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.89 - -5. Let m = -0.51 + 0.51. Which is the third biggest value? (a) -3\/7 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + 10*v + 5. Determine t(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 5*m + 3*m**3 + 4*m**4 - 13*m + 6 + 18*m as f*m**4 + w*m + b*m**2 + u + z*m**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 5*x + 3. Let a(c) = -4*c**2 + 6*c - 4. Determine -3*a(g) - 4*d(g).\nAnswer: -4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96, -54, 114, 408, 828?\n\"Answer: 63*m**2 - 147*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p**3\/7 - 8678660*p**2 + 13979686910528*p\/7 + 847253975296\/7 = 0.\nAnswer: -2\/33, 460232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-3)\/(-9)*((-15)\/(-117))\/(69\/(-414))?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:41 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3038*u + 1989*u + 2 + 1677*u - 3 in the form f + r*u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = 2*p - 24, 0 = -p - 5*x + 6. Solve 19*f - p*f = 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, -25, 0.5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3885593.4 minutes to days.\nAnswer: 2698.32875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f - 37. Let x be r(-5). Let y be 0*1\/x + 2. Solve y*m + 2*n + 4 = 0, -4*m + 5*n = -7*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 35 = -5*j, -2*r + 2*j + 122 = 2*r. Suppose v - r = -5. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.99 times -29.1?\nAnswer: -232.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 373\/282 + 1\/94. Suppose 0 = -3*y - 2*y. Let q(z) = -z**2 + 2*z + 2. Let n be q(y). Is d >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:37 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let z(m) = -m**3 - 6*m**2 + 9*m + 4. Suppose 3*g - a + 26 = -2*a, -2*a = -5*g - 25. Let t be z(g). List the prime factors of o(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -32. What is the tens digit of (j + 0)*14\/(-21) + 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687765 and 1560.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.1405 + 0.1405. What is the second biggest value in 6\/17, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15587\/5 - -3117. Let t = -0.123 - -0.323. Let l be 3\/(-6)*2 - 2. Which is the fourth biggest value? (a) t (b) l (c) r (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9) + -2)*(-11 + -1). Suppose -3*z - 2*v + p = -7*v, 2*z - v = 3. Solve -2*u - y - z = 2, -3*u - 5*y = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiooio. What is prob of picking 2 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 67454?\nAnswer: -67446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 450 (base 7) to base 8\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/8 - 9\/(-6). Factor 3*o**4 - 15*o**4 - 3*o**3 - 4*o**5 - 4*o**2 - 5*o**3 - 4*o**i.\nAnswer: -4*o**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. Let y be r\/2*(-4)\/8. Let c(g) = 10*g**3 + 2*g - 1. What is the units digit of c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1236508 divided by 618254\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(91) + sqrt(91)*4 + sqrt(91)) - sqrt(91))\/sqrt(7))**2 + 4 + sqrt(65)\/(sqrt(5) - sqrt(5)*5).\nAnswer: -sqrt(13)\/4 + 4697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 15*r - 2. Let v(m) be the first derivative of m**2 - 226. Determine v(a(h)).\nAnswer: -4*h**2 - 30*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001271851 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84013945*t**2 - 122257591 wrt t.\nAnswer: -168027890*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5995*l**2. Let j(q) = 52*q. Determine v(j(g)).\nAnswer: -16210480*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -126?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 167*w**4\/3 + 12*w - 11. Let i(r) = -3*r**2. What is i(t(s))?\nAnswer: -1338672*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 40 - 89 + 39 - 175*m**2 - 3*m + 5*m.\nAnswer: -175*m**2 + 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -233, -231, -229, -227, -225?\n\"Answer: 2*n - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211374 divided by -9?\nAnswer: -23486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -f + 14, -6*z + 2*z = 20. Let g be (6 - -4)*6\/5. Suppose -f*c - 74312 = -g*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**6 + 19*m**2 - 7. Let v(z) = 0 + 5 + 13*z**2 - 5 - 5 + z**6. Let a(o) = 5*u(o) - 7*v(o). What is the third derivative of a(j) wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2210.3 + -2210.35. Which is the fourth smallest value? (a) 0.3 (b) -17 (c) 1\/3 (d) n (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v + 35. What is the units digit of b(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/4 + 10*k**3\/3 + 3*k**2 - 8*k. Let j(z) = z**2 + z - 1. Let v(n) = -4*j(n) + l(n). Does 10 divide v(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2494*q**4 + q - 40?\nAnswer: -29928*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97125*c**4 + 2*c**3 + c**2 + 503164*c?\nAnswer: 2331000*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381828 divided by 180.\nAnswer: 31819\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1597, 3311, 5073, 6901, 8813?\nAnswer: 10827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - x**3 + x**3 + (4*x + x + 5*x)*(-x**2 + x**2 + 2*x**2) - 3*x**3 + 4*x**3 + 0*x**3 to u + k*x**2 + q*x + a*x**3 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -135, -200, -263, -324?\n\"Answer: i**2 - 70*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -18. Suppose i = 5*f + o, -f - 4 - 1 = -i. Find the third derivative of h**4 + 4*h**2 - 3*h**i - 3*h**4 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m**2)*(-3*m + 5*m + m) + m**3 - 3*m**3 + 5*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.7. Let a = -0.4 - r. Let g = 0.000042 - a. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -6*c - 56, 65 = -2*q - c - 0*c + 93 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319.9312 - 0.0688. Let q = a + 320.00000635. What is q rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -147483, -245, 3 in descending order.\nAnswer: 3, -4, -245, -147483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11538 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-16)*l\/(l\/(l\/l**23)) assuming l is positive.\nAnswer: l**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*a = l + 10, 0 = 5*l + a - 20. Solve 0 = l*u - 4 - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*f + f - 37*f)*(-2 + 1 + 0) + f + 0 + 0)*(4*f**4 + 5*f**2 - 5*f**2).\nAnswer: 124*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 266342205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40f (base 16) to base 6.\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 1, k: 6, e: 4, y: 2, z: 1}. Give prob of sequence kyzy.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 1 = 0. Let r(n) = -n - 4. Let z be r(-4). Suppose -y = -h*y + l, z = -y + 4*l. Solve y*g = 3*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 6*s - 10. Let b(z) = z + 1. Let g(l) = -6*b(l) - o(l). Let v(c) be the first derivative of g(c). Let j(x) = 2*x. Calculate v(j(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 57 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1113203101?\nAnswer: -1113203102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/270*2 - (68 + (-6517)\/95)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/o*o\/((o*(o\/o**(3\/4))\/o)\/o*o))**(-4\/23)\/((o**(2\/27)*o*o)\/(o*o**6))**(-5) assuming o is positive.\nAnswer: o**(-15292\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 876792 divided by 62628.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262 - -263. Is u\/(-1 + 36918\/36911) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18055957573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/249 - -1219\/498. Let g = -1.4 - 0.6. What is the second biggest value in -5, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15774 divided by 6.\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*b = -10, -16 = w - 4*b + 8. Let a = w + 13. Let t be ((-146)\/10 - a)*-5. Calculate the highest common factor of 87 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.06 + 0.06. Let f be (-6*(-2)\/(-3))\/(-14). Sort -2\/17, f, u.\nAnswer: u, -2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28299.428 times -4\nAnswer: -113197.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 6:00 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*x + 2, 0 = 2*x + x - 2*w + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t + 180*t = 1000 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7291389961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -29. Suppose 4*f = -2*z + 42, -5*f + 4 = -1. Let m = z - i. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*a + 225 = 240, 0 = -4*i - i + 50*a - 120 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13234, 25075, 36914, 48751, 60586, 72419?\nAnswer: 84250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*c, -4*c = -0*w - 2*w. Suppose 33*q - 29*q - 16 = c. Solve -q*n = -u - 3 + 26, u - 28 = 5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/5)*u)**(-2\/125)\/((u*u\/(u**(-3)\/u))\/(u\/u**(-16))) assuming u is positive.\nAnswer: u**(6851\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.5 + -3.5. Let z = -52 + y. Let r be (3 - 3) + 4\/(-1). Which is the second biggest value? (a) r (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (-63 + 86)) + (-55 - -2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-104)*(-10)\/27?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 18 = -2*c, -76*c + 71*c = -g - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 26. Let k be w(-15). Suppose 31 - k = 4*c. Calculate the greatest common divisor of 45 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 + (-17 - (-18504)\/1056)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/396*-3)\/(17\/(-510)*2)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + -5*5*((sqrt(125) - (-1*sqrt(125)*-3 - sqrt(125)))*-4)**2.\nAnswer: -49992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1 + 2)\/(-1). Let j(u) = -3*u**3 + 2*u**3 - 5 + 6 - 3*u**2. Give j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-8))\/(7\/(-140)). Suppose 3 = q + 2*u, -12 + 9 = 2*q - c*u. Solve l = 5*y + 2, 3*l = y + q - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 25*g**4 + 260*g**3 + 35*g**2 - 620*g + 300 = 0.\nAnswer: -10, -2, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37\/2 + 18. Let d be 4\/(-5) + 1 + 0. Let g = 4 + -4.5. Which is the nearest to p? (a) g (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c. Suppose -3*o - 3*f + 0*f = c, o - 4 = f. What is the third derivative of -4*g**o + 2 - 3*g**4 - 2 - 2*g**4 wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 3:35 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2 + 2*o - 2. Let c be u(2). Let r = 53 + c. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1877193, 1877186, 1877179, 1877172, 1877165, 1877158?\nAnswer: 1877151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(209) - (3*1*sqrt(209) + sqrt(209))) + sqrt(209))\/sqrt(11) + -5))**2.\nAnswer: 80*sqrt(19) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 + 7*b - 8. Let n(t) = 4*t**2 + 5*t - 6. Let y(c) = 3*k(c) - 4*n(c). Let m = 1 + -1. Give y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(1377) + 0 + sqrt(1377) - (-1 + 2*sqrt(1377))) + (5 + sqrt(1377) + 1 - sqrt(1377) - sqrt(1377) - (-1 + sqrt(1377) + sqrt(1377) + 1)))**2.\nAnswer: -594*sqrt(17) + 12514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*r + 347*r = 0. Solve r = -46*b + 31*b + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094841 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 20*u - 540. What is r(-27)?\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 35 = -3*m. Suppose 63 = m*n + 2*n. Let q be (-6)\/18 + (-1)\/((-9)\/30). Calculate the greatest common divisor of q and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8319 - 2*p - 8319.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016626281 to the power of 1\/3, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h)*(2*h + 3*h - 3*h) - 5*h**2 - 372*h + 372*h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.5. Let f = v - 5.1. Which is the closest to -1? (a) -5\/3 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-10)*-7*(-910)\/(-392).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u - 20 + 112*u + 10 + 2 + 8 - 68*u.\nAnswer: 99*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001987 rounded to five dps?\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 457569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 14 + 20 + 62 - 23 - 9*r + 17. Let q be a(10). Solve -2*n + 5*j - 5 = -n, q = -2*n - 3*j - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 31*c = 189. Let n be -2 + 12 - (10 + -8). Solve c = j + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 701 - 719 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48076979?\nAnswer: 48076979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -12044250?\nAnswer: -12044254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3538.4452037 + -5.6\nAnswer: -3544.0452037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -393\/1150 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -135 + -2 - (0 - 2). Let o(f) = -f**3 + 24*f**2 - 2*f - 33. Let t be o(24). Let v = t - n. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let o(i) = i**2 - 3*i + 4. Does 4 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.0803837 to 3 dps.\nAnswer: -11.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 636, 742, 848, 954?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11354886 + 11473290 = -1287*c for c.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 59, 146, 321, 614, 1055, 1674, 2501?\nAnswer: 3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115827\/5 + -23089. Let h = x - 76. Which is the closest to h? (a) 0.2 (b) -5\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45004762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (790 - (-5 - 2)) + (-3 - 1). Calculate the greatest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4565904 divided by -16.\nAnswer: 285369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/11 + 496*p**2\/11 + 8418*p\/11 + 720 = 0.\nAnswer: -15, -1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*s + 29. Let a = 3 - s. Let b(l) = -19*l - 4. Is b(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5957.1*-13\nAnswer: 77442.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -59. Let t = z - 28.9915. What is t rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135.\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 39*p**2 - 2*p + 85. Let z be j(39). Is 33 a factor of (422 - 24\/6)*(-4 + z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6583*a + 6607*a - 192 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 278\/38471, 1\/4, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 995 and 440278.94717?\nAnswer: 439283.94717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m - 24. Let c be f(7). Suppose p = -h + 2*h + 1, 3*h = -p + 1. Solve -c*y + h*y - 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 8 = 2*c. Let v be ((-3)\/c)\/(3\/(-4)). Suppose 2*l + 12 = 5*s, -v*l = -3*s - l + 8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5890243.\nAnswer: 107, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) -5\/6 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*k + 4 + 136 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.2. Let g = 0.12 - 4.12. Let j be (-2)\/(-8) - 6\/(-8). Sort g, n, j in ascending order.\nAnswer: g, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 175*v**2 + 365*v - 185.\nAnswer: -5*(v - 1)**2*(v + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51480*i*s**3 - 317539*i wrt s.\nAnswer: 154440*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 210430 divided by -30?\nAnswer: -21043\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:41 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let i = 58 + -56. Suppose 0*y - i*y - 2*g = -12, 3 = 2*y - g. Solve a*t + y = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)*((-16)\/(-4) - 7). Let u be (b + 0)*(-3)\/((-18)\/8). Sort 2, 18, u.\nAnswer: u, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101409092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4635 + -1.4075. Sort 0.4, -1\/5, 1\/7, r in increasing order.\nAnswer: -1\/5, r, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjwwjwjjjwjjww. Give prob of sequence jwj.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(176) + -1 + sqrt(176) + -1)**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 15)*4\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17990637*j**3 - 14827217*j**2 wrt j.\nAnswer: 107943822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -64. Calculate the remainder when (-800)\/15*6\/(-5) is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-168)\/15)\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 486.6 + -476.6. What is the fifth smallest value in 0.5, -0.2, y, 0.1, -0.38?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 105556\/406*(-24)\/672. Let z = d - 444\/49. What is the common denominator of 9\/(-5) + -1 + 0 and z?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -8 - 10) + -26 - 4\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218221, -218294, -218415, -218584?\nAnswer: -218801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -78\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 6*y. Is 0\/(-1) + (-89)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -156267128, -312534251, -468801374, -625068497, -781335620?\n\"Answer: -156267123*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 56*s**3 - 8*s**2 + 8*s + 48. Let y be a(-8). What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 5 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 - (-2)\/(-4). Let o(p) = 3564*p + 7126. Let k be o(-2). Sort 2, k, -26, x in decreasing order.\nAnswer: 2, x, k, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -16816?\nAnswer: -39\/16816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**3 + 112*i + 1434 wrt i?\nAnswer: -6*i**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 1, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h**3 - 2 + 6*h**3 + 8*h**3 + 2*h**2 - 3*h**2 as m + o*h**3 + f*h**2 + k*h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -806\/4257 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16, -2*f + 4 = -4*x - 0*f. Let r be (-1)\/(-4) + (-46)\/(-8). Suppose x - r = 2*o + 5*s, -4*o + 2*s = -2. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 99.7. Let w be (2\/1)\/(-14) + (-38)\/(-168). Which is the closest to 1\/2? (a) 5 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:48 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.46 + -58.46. Which is the second biggest value? (a) 16 (b) 1.3 (c) 5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*w**4 - 87531*w**3 + 35734*w**2 - 90 wrt w.\nAnswer: -432*w - 525186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3720843*h - 18 - 17 + 35.\nAnswer: 3720843*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 22 - 77 = -5*h. Solve -n = -2*a, h*n + 2 = -5*a - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56236, -112469, -168702, -224935, -281168?\n\"Answer: -56233*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88060 and 12580?\nAnswer: 88060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d - 3*d - d + 2 - 2 + 2*d - 3*d + 3*d + (-4 + 5 - 3)*(4*d - 6*d + 0*d) + 2 + 2*d - 2 + 2*d + 0*d + d)*(-1 - 1 + 3).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3703 + -3701. Suppose -5*f - 3*h + 1 = -13, f = 3*h + 10. Solve 0 = -l*n + f + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 8*q**3 + 52*q**2 + 52*q - 40 = 0.\nAnswer: -5, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 0*u - 2*u - 2*u + 2*u + u + (7 - 3 + 2)*(u + 0*u - 3*u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -5\/3, -0.1, 16, 1903\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**(1\/5)*(w\/w**(2\/5))**(-29)*((w**4\/w)**(-4\/5))**(1\/27) assuming w is positive.\nAnswer: w**(-787\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 3*p**3 - 15*p**3 + 7*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -17. Let v be 0 + -3 + 2 - 4. Suppose 4 - 9 = 5*q. Put v, a, q in descending order.\nAnswer: a, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:35 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15115.8 to the nearest one hundred.\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -3.3\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:50 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1679, -1679, -1677, -1673?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5)*1 + sqrt(360)\/sqrt(8))*-2*-2.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -104. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + l = -j - 5, 0 = 5*j + l + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12824364 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 292?\nAnswer: 292.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:26 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -56, -116, -200?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 9 = -8*f + 5. Suppose -c = d, 5*d - 17 = 4*c + 10. Let v be ((-12)\/9)\/(1\/c). Solve 0 = 5*j - f*u - 16, v*u + 0*u + 16 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 267, 24, -33 in decreasing order.\nAnswer: 267, 24, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 1 - (1 + -4). Suppose -3*p = -3*z + 6, -7*p + 2*p + 22 = b*z. Put 5, 0.1, p in decreasing order.\nAnswer: 5, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -11. Let s = i + 6. Suppose 0 = 2*r - s*r + 60. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6650155 millilitres to litres.\nAnswer: 0.0006650155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 652179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12730, 50929, 114594, 203725, 318322, 458385?\nAnswer: 623914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.2 (c) 0.06 (d) -440 (e) 40.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -151 and -9.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24200960 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v + 25. Let k be ((-40)\/(-28))\/v + (-344)\/28. What is the remainder when k\/(-4) - 6 - -135 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001474702 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 3. Let l = 32 - -24. Suppose -4*q - 4*q - l = 0. Let i be (-16)\/56 + (-2)\/q. Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, -3, -5, -56\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.4 (c) -2\/5 (d) 9 (e) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12 + 125*g**2 - 227*g**2 + 7*g + 18 + 103*g**2 - 13. Determine z(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*l**3 - 109*l**2 - 6*l**3 - 8*l**4 + 0*l**2 - 26*l**2 wrt l?\nAnswer: -192*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 11*a + 20*a)*(4*a**3 - a**3 - 5*a**3).\nAnswer: -62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 6 + (11 - 3 - -4) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:55 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**2 + s**2 - 2*s**2)*(-1 - s + 1)*(-4*s**2 + 5*s**2 - 3*s**2).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11575*f + 12938 - 12938.\nAnswer: 11575*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 53*j - 3. Let d(w) = 177573*w**2. Determine q(d(n)).\nAnswer: 9411369*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4\/2 + 5412*d**3 + 5392824*d**2 + 922204800*d + 43554240000 = 0.\nAnswer: -1704, -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 134064 + 6453796 = 0. Suppose -8373930 = 2*r - t. Round r to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 114046566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 177\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1*(-1)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3641*f**2 - 4*f. Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.20422 millennia in decades?\nAnswer: 5420.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-1 - -1) - (132 - 122)) + -21.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80.39 - 80.49. Sort 4, -1\/9, -2.01, t in ascending order.\nAnswer: -2.01, -1\/9, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9135)\/(-147) - (-1)\/(-14)*2. Is l\/4*(1 + -3 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 + 63. Let i = -44.65 - r. Round i to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70420.548 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*t - 192, t - 23 = -v - 212. Let o = 367\/2 + v. Is -4 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 48 - k - k - 2*k to the form p*k + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68153)\/17935)\/(((-6)\/15)\/(-2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/3533 - 152007\/155452. Calculate the common denominator of 31\/6 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:58 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 24303986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 8*m + 9. Let q = 63 - 23. Suppose 10*h - 5*h + q = 0. Does 3 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -171604*d. Let y(o) = 2*o**2. Determine y(n(x)).\nAnswer: 58895865632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.447306018 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -687 + 753. What is the remainder when k is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5377 (base 13) to base 8\nAnswer: -26506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513*n**2 - 415*n**2 - 627*n**2 + 1821*n**2 - 741*n**2.\nAnswer: -475*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 6. Let i = 145 - 79. Calculate the greatest common factor of h and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -0.45 (c) -10 (d) -0.3 (e) -179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 3:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5181827618?\nAnswer: 2, 11, 103, 2286773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 - (-2)\/1). Let d be k\/6 + 0\/(-2). Suppose 5*j - m = m - 24, 4*j - 2*m = -20. Sort 4, j, d in decreasing order.\nAnswer: 4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043783 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m - 23. Suppose -15 = -4*j - m. What is the units digit of j\/((1\/3)\/(2\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(1008)*-5 - sqrt(1008)))\/(-3*sqrt(225))*-5.\nAnswer: 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.08, -24, 37, -4\/11, -0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 781052?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -1, -2 in ascending order.\nAnswer: -7, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 - 656.24. Let w = h + 663.46. What is w rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w. Let n(k) = -29042*k**2. What is m(n(d))?\nAnswer: 145210*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -11, 3 in decreasing order.\nAnswer: 23, 3, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.8782 - -26.9. Let m = -0.0217639 + z. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -3 (c) -22 (d) -2\/5 (e) 0.2 (f) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/126)\/((-12)\/(-18)). Put s, 351, -2\/15 in increasing order.\nAnswer: s, -2\/15, 351","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -396.\nAnswer: -31\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -762449.286 to the nearest 100.\nAnswer: -762400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c - h + 10 = 0, c = 4*h + 10. Let w be (-2 - -5)*(-4)\/3. Let t = w + 9. Solve -t*g - 4*b + 2*b = -23, -3*g - 5*b + c = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864*p - 863*p + 3 = 0. Let g be (0 - 1)*1*-3. Sort 0, g, p.\nAnswer: p, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.775682 months to years.\nAnswer: 1.3979735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 243*l + 3. Let h(g) = 70*g - 239*g + 88*g + 82*g. Give h(j(r)).\nAnswer: 243*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.00723, 0.3 in ascending order.\nAnswer: -0.00723, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14811)\/4*(-72)\/54 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*y**3 + 1153*d**2*y + 2*d*y**3 - 63*y**3 wrt d.\nAnswer: -2*y**3 + 2306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10680 and 594720?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 65. Let o be 52\/(-286) - 25\/(-3)*(-2)\/(-132). What is the third biggest value in i, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 8*r + 20. Let t be d(4). Let u = -5 + 3. What is the second smallest value in u, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146, -295, -442, -587?\n\"Answer: h**2 - 152*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**13)\/((f*(f\/(f**(-10)*f)*f*f)\/f*f*f)\/f) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21220120220 - 100?\nAnswer: 21220120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.505 - -14.695. Let q = x + -0.19. Let d = -12 + q. Which is the third smallest value? (a) 3 (b) d (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 39660309*m\/2 + 524313369991827\/4.\nAnswer: 3*(m - 13220103)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 378 - 15500\/41. Suppose 6*q + 142 = h + 4*q, h - 145 = 5*q. Let o = -563\/4 + h. Which is the nearest to 2\/9? (a) o (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 + -276. List the prime factors of 103 + n - 2\/(5 - 7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20325372 divided by -3\nAnswer: 6775124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7797 + 7485 = 24*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 31. Let j be d(-8). Put 1\/2, j, -13 in decreasing order.\nAnswer: 1\/2, -13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5177, 27342, 87501, 204650, 397785?\nAnswer: 685902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from rnbttnbc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.031 (b) 4\/3 (c) -12 (d) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.19 + -39. Which is the closest to d? (a) -3\/8 (b) -2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:08 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 449764373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4040897, -8081781, -12122651, -16163501, -20204325, -24245117, -28285871, -32326581?\nAnswer: -36367241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 7:08 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c**3 - 73*c**2 + 169*c - 24. Calculate x(-6).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/70*(-9)\/15?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a millennium?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24970 and 2270?\nAnswer: 24970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134434 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, o: 1, q: 6, w: 6}. Give prob of picking 1 w and 1 q.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 - f - f**3 + 2*f + 3*f**3 + f**2 to the form w + k*f + b*f**2 + u*f**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let b = -16.5 - -0.5. Let x = b - -21. Sort m, x, 3 in decreasing order.\nAnswer: x, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d**3 + d**3)*(2*d - 2*d + 2*d) + 2*d**2 - 2*d**2 + d**4 + 0*d**2 + 0*d**2 - d**4 + d**4 - 2*d**2 - 3*d**3 + 2*d**2.\nAnswer: -3*d**4 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -74*q**2 + 9*q + 6. Let u be x(-5). Let w = 499 + -1643. Let k = w - u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354 - 679 - 675 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -6\/5047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-6))\/(10\/30). Suppose 2*j = 6*j - 12. Suppose g - i = j*g. Let k(d) = d**2 - 4*d - 4. Let l(u) = -2*u**2 + 11*u + 11. What is g*k(x) - 3*l(x)?\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*b + 17 = 4*a, 3*a - 5*b - 5 = 0. Let d = -3 + a. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - 1.37. Let t = f + 4.87. Let r = t - 4.8. Is r at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011100101001100010 (base 2) to base 4\nAnswer: -2130221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11649 in 1\/7, -6, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4297.\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -2\/281, 2\/21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32057862?\nAnswer: 2, 3, 163, 32779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdpcdscsdd. What is prob of sequence dcc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 128. Let t be k(20). Let b be (-1 - 0 - 2)\/((-72)\/t). Let y(g) = g - 4. Determine y(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pss when three letters picked without replacement from {p: 3, l: 1, g: 1, s: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 77*q - 436. Let s be r(-11). Solve 39*i - s = -17 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 0*f**2 + 0*f**2 + (1 + 1 - 1)*(-f**2 + 0*f**2 + 3*f**2).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -413b70 (base 13) in base 11?\nAnswer: -94a786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + p**2 + p - 1. Let g be (10\/(-15))\/(8\/12). Let a(j) = -j**3 - j**2 - j + 1. Calculate g*a(u) - v(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -646, -58, 0.4, -2\/65 in decreasing order.\nAnswer: 2, 0.4, -2\/65, -58, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1500, -1499, -1498, -1497, -1496?\n\"Answer: n - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:12 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose 0 = -b*t - 27 - 125. Find the common denominator of 87\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092297875 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14833 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k - 20. Calculate x(6).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 29*b + 13. Let g be f(14). Sort -7, g, 4 in decreasing order.\nAnswer: 4, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggge. What is prob of picking 3 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 874 + -10. Calculate the greatest common factor of z and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyye when four letters picked without replacement from eeyeyyy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/2*(1 + 0 + -2). Suppose 1 = -m + v*x - 3, -2*x + 10 = m. Find the third derivative of 6*d**3 + 20*d**2 + 12*d**5 - m*d**3 wrt d.\nAnswer: 720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 72*v**2 + 244*v - 168.\nAnswer: -4*(v - 2)*(v - 1)*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2080926, 2080928, 2080930?\nAnswer: 2080932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 + 132*k**3 - 69*k**3 - 2*k**2 + 2*k**2 - 61*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwjddddjejatwjte. What is prob of sequence wwj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**0*u)\/(u\/(u\/(u*(u*u\/(u\/(u\/u**(-1))))\/u))))**(3\/22))**(-46) assuming u is positive.\nAnswer: u**(69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-291)\/2 + 4)\/(2\/(-4)). What is the remainder when -4 + r\/4 - 2\/(-8) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 3*g**2 + 4*g + 4. Let s be ((-6)\/(-3) - 3)*2. Is h(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23040 by 1280.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -23*f - 72 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27989, -1.3, 0.1, 0.2 in descending order.\nAnswer: 0.2, 0.1, -1.3, -27989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*b**3*h**3 - 2*b**3*h + 620970*b**2 - 208*b*h**3 - 5*h**3 - 2 wrt h.\nAnswer: -510*b**3*h - 1248*b*h - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m + 46*m - 11*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + g = 12, -4*a + 124 - 78 = 2*g. Solve -a*j = 11 + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -3*o - j, 2*j + 4 + 2 = 0. Let v = o - 73. Sort -1, v, -0.2, -4 in increasing order.\nAnswer: -4, -1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17698 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2350 and -13\/20.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 14. List the prime factors of -1 - a\/(1\/(-60)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 10. Let r(w) = -2*w + 6. Let a(n) = -3*i(n) - 5*r(n). Let b(k) = 23*k. What is a(b(g))?\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (49 + -50)\/((-3)\/51*1). Solve -2 = 2*p, 10 = f + 5*p + a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131, 119, 97, 59, -1?\n\"Answer: -t**3 + t**2 - 8*t + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*l - 43 + 133 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053622882 plus -0.08?\nAnswer: 2053622881.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/(315\/(-308) - -1) - 8 and 192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1773993 and 780?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 2917, 7543, 14019, 22345?\nAnswer: 32521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -36. Let h = 7 - n. Let s = -5 - -4. Which is the second smallest value? (a) s (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1910\/1079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-11 - ((-17 - 10) + 18)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366725\/36 + 10190. Suppose 83*h = 88*h + 4005. Calculate the common denominator of (h\/(-144))\/(2\/(-4)) and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjttjjjttjtjttjtju. Give prob of picking 2 u and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.916 + 0.084. Let u be (-784)\/198 + 4 - 2\/9. Sort y, -3, u in decreasing order.\nAnswer: y, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -18)\/((-141)\/1457).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 50354040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462284432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/168 and 47\/2142?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x + 11*x - 2 - x**3 + 1 - 3*x**2. Give f(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2316 - -1511. Let z = l - -805.0624. What is z rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -160*y**2 - 7*y + 131. Let t be v(13). What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136182.8 nanometers to millimeters.\nAnswer: 0.1361828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - 5 - -1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 9*o**2 + 4*o + 4. Let m be 7\/2*(36\/27)\/((-7)\/(-6)). Let i(c) = -2*c**3 + 17*c**2 - 9*c - 9. Calculate m*i(s) + 9*t(s).\nAnswer: s**3 - 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80d (base 16) to base 2\nAnswer: -100000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -451*t - 10814. What is x(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4477134 and -5?\nAnswer: 22385670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.23, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11))**(-40)*(h\/h**(1\/5))**(-27) assuming h is positive.\nAnswer: h**(-1588\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x**2 + 3898*x + 252686. What is v(-136)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 309.11905 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/558 and 139\/930?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**5\/240 + v**4\/96 - 6*v**2 - 1. Let l(s) be the second derivative of i(s). Let l(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofef when four letters picked without replacement from {c: 1, j: 1, f: 3, v: 1, e: 6, o: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let k be (-66)\/(-14) - 6\/(-21). Suppose 3*h - k*w = 30, -5*h = w - 22 - 0. Let l be o(h). Solve l*i - 16 = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 52 + 2 = 5*o, -o + 200 = -4*a. Let f be (2 - 576)*(a\/(-20))\/(-5). What is the highest common factor of 41 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*14.5944.\nAnswer: -4.37832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -593, -881, -1167, -1451, -1733?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1470793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/19952 and 79\/34016.\nAnswer: 42417952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(2150*p + 3938*p + 284*p - 1 + 2616*p).\nAnswer: -8988*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 22*t - 746. What is d(-39)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjjlljvlll. What is prob of picking 1 l and 1 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30077831 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8.52. Let d = 0.32 - i. Let q = 19 + -11. What is the second biggest value in q, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 1f?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - q - 19. Let g(w) = 60*w**2 - 5*w - 95. What is 6*b(a) - g(a)?\nAnswer: -48*a**2 - a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 = 2. Let u(o) = -34*o - 82. Let a be u(-2). Let j = 18 + a. Sort -12, b, j in decreasing order.\nAnswer: j, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -4149.\nAnswer: 248.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54780 and 5213230.\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.1 (b) 4\/19 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j\/((j**1\/j)\/j)*j)**(4\/5)*((j**(3\/7)\/j*j)\/((j*(j*j**(2\/13))\/j)\/j))\/((j\/j**0)\/((j**(-2\/13)*j)\/j)) assuming j is positive.\nAnswer: j**(284\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -98*n - 5327. Give r(-56).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8243*n**3 - 8239*n**3 - 8244*n**3 + 32979*n**3 - 8240*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/8 + 2\/(-4) + 40. Is 42 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6525, -6520, -6521, -6534, -6565, -6620, -6705, -6826?\n\"Answer: -b**3 + 3*b**2 + 3*b - 6530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 55 = 5*s. Suppose 0 = -8*f - 0*f - 392. Let o = -60 - f. Is s greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1005\/(-135) - -8) + 8\/18. Let j(v) = 7*v**3 - 2*v**2 + 4*v - 2. Determine j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16546 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -4595*h**8\/56 - 3869*h**4\/12 + 70*h + 22. What is the third derivative of c(v) wrt v?\nAnswer: -551400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, i: 11}. What is prob of sequence iis?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:16 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 304. Let c = m + -43. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44771, 86461, 128151, 169841?\nAnswer: 211531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164855 - -1815071\/11. Is b smaller than 150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58408 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -4*p, 1 = -5*o - 5*p - 4. Let w = 2 + 3. Suppose -5*h = -5*l - 45, h - w*l = 2*h + 21. Sort -5, h, o in increasing order.\nAnswer: -5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 + 184452645*s**2 - 368905275*s + 184452635 = 0?\nAnswer: 1, 36890527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 653 + 634 = 0. What is the least common multiple of 9 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 64, 37, -12, -2, 6 in decreasing order.\nAnswer: 64, 37, 6, 4, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 5. Let w be f(6). Let r = 5 - w. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 73968*w**2 + 104*w + 208. Let m(j) = 4351*j**2 + 6*j + 12. Give -6*h(c) + 104*m(c).\nAnswer: 8696*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 2.8, 5, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrgrgrg. Give prob of sequence rrgr.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 221*d**2 - 3*d. Let b(s) = 33*s - 3. Calculate v(b(q)).\nAnswer: 240669*q**2 - 43857*q + 1998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 652 and 374574.\nAnswer: 749148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**38*k*k)\/k*k**(4\/5))**(2\/75) assuming k is positive.\nAnswer: k**(398\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -408, 4, -495, -4 in ascending order.\nAnswer: -495, -408, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 15. Let j(x) = 4*x - 31. Let n(z) = -11*g(z) + 6*j(z). Let o be n(13). Is o smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 687, 1373, 2059, 2745?\n\"Answer: 686*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214261.\nAnswer: 167, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 8*u, 3 = 5*n - 2*u - 7. Solve n*q - 3*b = -0*q + 13, 4*b + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91) + (sqrt(91) - (sqrt(91)*2 - sqrt(91)))))\/(sqrt(7) + -1*sqrt(7)*-1)*1.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 939050.2 micrometers?\nAnswer: 939.0502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 0.118, 5, -4, 2\/17, 0.7, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 4. Let c = -2 - -6. Calculate b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 89662\/34 + 4668\/204 + -23. Calculate the greatest common divisor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 487, 495, 507, 523, 543, 567?\n\"Answer: 2*m**2 + 2*m + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 2. Let a be c(-2). Let w(r) = -r - 29. Let m be w(-32). Suppose -m*g - a = -14. Solve -z + o = 2*o + 4, -16 = z + g*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021951 to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of (-6505)\/(-5) + (-10 - -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21063 - 20971. What is the remainder when 549 is divided by v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**2 - 2. Let l be u(-4). Let c = l - 85. Determine k so that -105*k**2 + 93*k**4 - 90*k**3 + 7*k**3 + 24*k - 46*k**3 + c*k**5 + 12 = 0.\nAnswer: -1, -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1175, 2022, 2881, 3758, 4659, 5590, 6557, 7566?\nAnswer: 8623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928697.3 millennia to years.\nAnswer: 928697300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.5 (b) 4.346 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -9. Suppose h + n*h = 159. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9340 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 5*h - 9. Determine j(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6301*n + 6301. Give o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 163 = x, -1268 + 1277 = -3*x. Suppose -3*g + 589 = -1043. What is the highest common divisor of g and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 671, 1343, 2015?\n\"Answer: 672*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -24*u - 691. Let b be m(-30). Solve 17*p + 36 = b*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = n. Let k(a) be the second derivative of -3*a**2 + 0 + 7\/6*a**3 - 1\/12*a**n - a. Determine k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (6*(sqrt(7) - sqrt(28)\/sqrt(4)))**2 + 3.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 13*c - 1. What is the units digit of a(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*u**3\/2 + 22294*u**2 + 38229065*u\/2 - 2941225.\nAnswer: (u + 1715)**2*(13*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16064 or -16239?\nAnswer: -16064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, -1069, 0.5, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -16*q - 48. Solve 7 = q*w - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3858228 (base 9) in base 10?\nAnswer: -2105540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22f - -90?\nAnswer: -19f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 4. Let r be t(5). Suppose -2*y + 640 = 592. Let p be (6 - 176\/y)*9\/(-6). Solve -8*o + 3*o = 2*z + p, -z - r = -4*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/455 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*q - 2520, -5*o + 15 = -10*o. Calculate the greatest common divisor of 38 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1146\/5 (b) 4 (c) -183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13223963 rounded to the nearest 10000?\nAnswer: 13220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2549837 minus -62795?\nAnswer: -2487042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 5. Let p = -4 - 1. Let x(n) = -3 + 0*n - n - n. Determine p*x(k) + 3*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggl when three letters picked without replacement from {v: 1, h: 3, g: 4, q: 7, l: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 63, 91, 119, 147?\n\"Answer: 28*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7\/i*i)\/i**(-5\/6))**(2\/93)\/(i**7*i*i**(-3\/7)*(i**3*i)\/i*i*i*i*(i\/(i**(-1\/3)*i))\/i) assuming i is positive.\nAnswer: i**(-24874\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 112, 115, 118, 121?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1327 (c) -28\/9 (d) 3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*b + 433. Let y = 31 - 29. Suppose -2*r - 5*o + y*o + 99 = 0, -4*r + 2*o = -b. What is the highest common divisor of r and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 - 24*g**2 + 8*g + 70. Give v(-6).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14*m**2 - 15*m - 8. Let w(d) = 5*d**2 - 5*d - 3. Let g(c) = -4*v(c) + 11*w(c). Let r be g(4). Factor -y**4 + 0*y**3 + r*y**4 - y**3 - y**5.\nAnswer: -y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 8*u**2 + 20*u + 3. Let b be t(10). What is the third derivative of -2*r**3 + 2*r**b + 10*r**4 + 26*r**2 - 18*r**4 wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7265939*r**3 - 14649472*r**2 wrt r.\nAnswer: -43595634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 375 = -4*u. Suppose 2*c + 19*c = u. Solve 0 = 4*x + 3*a - 19, 2*x - 12 = -a - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6105723 is divided by 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 + 5*x - 3. What are the prime factors of c(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 2.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8 - 3*r + 0*r + r**2 - 12. Let b be g(4). Suppose b = 3*c - 23 - 25. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 22. Let l(y) = y - 1. Let o(s) = s**2 + s. Let p be o(-3). What is the remainder when f is divided by l(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 - 3*p - 3. Let s(f) = f**3 + 5*f**2 - 9*f + 1. Let i(h) = h**3 + 8*h**2 - 14*h + 2. Let y(x) = 5*i(x) - 8*s(x). Determine 4*w(a) + 6*y(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-7)\/(-2) + -3). Let i be h\/(-6) - 32\/24. Is i at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -17*y**7\/210 + 3*y**3\/2 + 7*y**2 - 11. Let t(j) be the second derivative of n(j). Differentiate t(l) wrt l.\nAnswer: -68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 5*d - 6*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 3, d: 1, u: 2}. What is prob of sequence du?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 1. Let t(p) = 26*p**2 + 3. Let r(f) = d(f) - t(f). Let s(z) = -z. Calculate r(s(m)).\nAnswer: -27*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(1 - 1 - 26*z) + 2 - 4*z - 2 + 2*z - 3*z - z + (0*z - z + 3*z)*(2 - 4 + 4) - 3*z - z + 3*z to the form l + j*z and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/49 + -156\/245. What is the nearest to 9\/7 in w, -1\/2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*x - 3*x**3 + 1059*x**2 + 387*x - 1059*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1860*d**3 + 636*d**3 + 605*d**3 + 586*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -99681, -99666, -99625, -99546, -99417, -99226, -98961, -98610?\n\"Answer: 2*n**3 + n**2 - 2*n - 99682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*s**3*u**2 + 4618*f*s**2*u - 2*f*s + 2*f - 22*s*u**2 + 31*s wrt s.\nAnswer: -12*f*s*u**2 + 9236*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -538.9 - -539. Let n = -0.37 + 5.37. Which is the second smallest value? (a) 3 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188\/9 or -20?\nAnswer: -188\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1535 + -405. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(11)) - (-5 + (sqrt(99))**2).\nAnswer: -90 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1560 + 1444. Which is smaller: -579\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(70*v + 15 - 85*v + 0).\nAnswer: 15*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/4 - 287927*c**2\/4 - 1871595*c\/2 - 2159550 = 0?\nAnswer: -10, -3, 287940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9904 - -9926.932. Let k = d + -23. Round k to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6582238, 26327884, 59237302, 105310498, 164547478, 236948248?\n\"Answer: w**3 + 6581880*w**2 - w + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/675352758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.03396 + 0.03396. Which is greater: w or -2\/133?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 2, f: 3, c: 10}. What is prob of sequence cq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*p = 15 + 1, -4*v - 5*p + 109 = 0. Suppose -6*o + 2*r = -4*o - 50, 5*r - v = -o. What is the greatest common divisor of o and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 31*f**2 - f - 2. Let h be k(-1). What is the tens digit of (-12)\/h - (-1074)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**5\/3 - 7*x**2\/2 + 5*x + 19. Let i(y) be the second derivative of k(y). Let q(z) = 5*z. Determine q(i(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000233179935 to seven dps.\nAnswer: 0.0002332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 31596 - 15798 - 15799. Let q(l) = 4*l - 6. Give 2*q(b) - 10*u(b).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10000010111?\nAnswer: 10000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2115054052 - 2?\nAnswer: -2115054054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(-2)*9865\/19730?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 207, 344, 493, 654, 827, 1012?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23012 and 78450?\nAnswer: 1725900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -13 - 25 - -20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.264 take away 2?\nAnswer: -8.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 6*r**5\/5 - r**4\/8 - r**3\/3 + 3*r**2. What is the units digit of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 - -105. Suppose -4*a - 5*v + 3878 = 0, p*v + v + 965 = a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let q(r) = r**2 - 4*r + 3. Let w be q(2). Let j(b) = 3*b**3 + 5*b**2. Give w*j(t) + 5*u(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 53 = 3*f, k + 0*f = -2*f + 12. Let l(z) = 19*z + 138. What is the remainder when l(-6) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5 - (-1 - -1)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f + 2*r - 4 = 0, -f - r + 3 = 0. Let y(v) = -5*v - 14. Let w be y(-4). Let d be ((-3)\/w)\/(f\/(-8)). Solve 2*q = 4*u, d*u + u - 7 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 9367?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + 2)) + -1 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 20*t**3\/3 - 1171*t**2\/3 - 1150*t\/3.\nAnswer: t*(t - 46)*(t + 1)*(t + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*i**4 - 7433*i**2 + 12*i**4 + 7432*i**2 + 16*i**4 - 74 as x + f*i**4 + a*i + k*i**2 + c*i**3 and give f.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 1, c: 6}. What is prob of picking 2 c?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -3\/7*g**2 + 0 + 165*g - 1\/35*g**5 - 1\/28*g**4 + 25\/42*g**3. Factor x(f).\nAnswer: -(f - 2)*(f + 3)*(4*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 6073*q - 6072*q + 26.\nAnswer: q + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (3*sqrt(1089) + sqrt(9))\/sqrt(3))*-5)**2.\nAnswer: 1700*sqrt(3) + 86725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + (sqrt(114) + sqrt(114)*1)\/sqrt(6) + sqrt(684)*-1 - (0 + (sqrt(76) - (sqrt(76) - (sqrt(76) - (4*sqrt(76) + 4))))))**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.54319 minutes in microseconds?\nAnswer: 5852591400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7446 + -7449. Which is the nearest to 1\/17? (a) 1\/6 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 8 = -2*o - 12*w, -o + 2*w + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/5)\/(x\/(x*x\/(((x\/(x**(1\/5)\/x))\/x*x*x)\/x))*x)*(x**4*x*x)\/(x**(1\/2)\/x))**(-17))**(-18) assuming x is positive.\nAnswer: x**(8109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-18) - (-752)\/12. Solve -15*s + 2*s = -y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5906 - -0.0694. Let m = 5.6600248 - w. Round m to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4079\/330 - -123\/10. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*z**3 - 485*z**3 - 473*z**3 + 1426*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(13*a**4 + 21*a**4 - 14*a**4)*(4*a - 7 + 7).\nAnswer: 80*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.907 + 101\nAnswer: 101.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10, 0.1, -80, 169?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -35*j**8\/48 - 151*j**7\/6 + 367*j**6\/3 + 161*j**5 + 60*j**4 - 322*j**2. Let i(x) = 0. Calculate x.\nAnswer: -24, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/117 + (-20)\/9 + 2. Which is smaller: k or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(78) - (sqrt(78) + (1*sqrt(78)*6 - sqrt(78)) + sqrt(78))) + -4*(sqrt(78)*1 - sqrt(78) - sqrt(78))))\/(-6*(sqrt(486) - sqrt(486)*1*-5)).\nAnswer: sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1034 + 2*y + 1024 + 0*y**2 + y**2 + y**2. Let o(g) = 3 - 1 - 1. Calculate -10*o(v) - q(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 45 = 8*a. Suppose -a*l + 580 = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130291\/198 - -7316\/11. Find the common denominator of -47\/10 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*t**4 + 109*t + 9*t**2 - 52*t - 57*t wrt t?\nAnswer: 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/210 - q**4\/84 + 2*q**3\/21 + 2*q**2 - 10*q. Let g(b) be the first derivative of o(b). Factor g(h).\nAnswer: -2*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -665 - -660. What is the nearest to -1\/2 in 1\/2, 2\/5, g, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/766927 + 59949916483\/23007810. Let k = 2610 - m. Calculate the common denominator of k and 402\/9*((-30)\/(-16))\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b + 7?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y + 4*y**5 + 45*y - 523*y**4 + 2*y**2 + 542*y**4 wrt y?\nAnswer: 240*y**2 + 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 21*d + 17. Let c(k) = -11*k - 8. Let x(b) = 13*c(b) + 6*v(b). Differentiate x(u) wrt u.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/9151, 13, 0.4.\nAnswer: -50\/9151, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 + x - 7. What are the prime factors of h(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((94\/10)\/((-18)\/90))\/(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6687.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-217)\/(-28) + -8)*60 + 12\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 268 = 0. Let n = -52 - b. Let a(o) = 2*o - 3. Calculate the remainder when n is divided by a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:25 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 4*s + 4. Let j(x) = -13*x + 368. Let m be j(28). Suppose 0 = -5*c + f - 29, 0 = m*c - 8*f + 4*f + 20. Determine y(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226*12\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.74688649218 + 0.118\nAnswer: 1.86488649218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -6*p**3\/11 - 11430*p**2\/11 - 5426352*p\/11 + 16382088\/11 = 0?\nAnswer: -954, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 11 + 12 = -2*b, 0 = -2*k - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-9) - 3)\/(8\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evefvvfpvpevvvvvvevv. What is prob of sequence fee?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 550\/9 > 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125092349 is divided by 4256.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Let h(r) = -q + 6 - 9*r. Let w(t) = 4*t + 2. Let a(z) = -17*z - 9. Let g(c) = -2*a(c) - 9*w(c). Give g(h(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiitttttottot. What is prob of sequence ot?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by -120.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -1. Let v = -8.45 + -10.35. Let z = v + a. Which is smaller: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**3 + 6*j**2 + 2*j - 288. Let f(a) = -17*a**3 - 27*a**2 - 9*a + 1151. Calculate 2*f(c) + 9*x(c).\nAnswer: 2*c**3 - 290","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + -1)**2*6.\nAnswer: -12*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 5*y - 3*s - 2*s, 335 = 5*y - 3*s. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*208\/(-13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(243)*-2 + sqrt(243) + sqrt(243) + 1 - sqrt(243) - -3*(sqrt(243)*-2 - sqrt(243)))**2.\nAnswer: -97204 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*y + 24, 18165 = -3*y + 18144 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-84)*-2*(-3)\/44\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-4 + 24) - -2. Is t less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 1, -38 in decreasing order.\nAnswer: 1, -3, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153339246 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 7*p + 8. Let z be m(-6). Let r(l) = -l**3 + 4*l**2 - 3*l. Let d be r(3). Let x = d + 1. Sort -5, z, x in decreasing order.\nAnswer: z, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46204 divided by -3?\nAnswer: 46204\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 11:48 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1863)\/(-62100))\/(9\/(-15))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 658646813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.8 + -299.8. Let l = j - -189. Let b = l + 79.00033. What is b rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6) - (sqrt(24) + sqrt(6))) + -1)**2 - (sqrt(102)\/sqrt(6) + 4)*4.\nAnswer: -3*sqrt(17) - 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365 and 31755?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a78 (base 14) in base 13?\nAnswer: -31ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 3*j - 4. Let v(s) = s**2 - 9*s + 8. Suppose -3*l = -31 + 7. Let o be v(l). Suppose -4*h + 0 + 12 = o. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 44520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -91868*y. Let m(w) = -36*w**2. Calculate u(m(n)).\nAnswer: 3307248*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21759*x**4 - 4*x**3 + x**2 + 216*x + 662 wrt x?\nAnswer: -261108*x**2 - 24*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4413212 (base 6) to base 15\nAnswer: 451a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31842 is divided by 7951.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egkk when four letters picked without replacement from kqyqgkex?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 8*n - 3. Let v be u(-7). What is the third derivative of 3*h**2 - 6*h**2 + 2*h**4 + 0*h**v + h**4 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1020)\/(-5616) + (-2)\/13 + (-8)\/(-36). Which is the closest to v? (a) -2 (b) -2\/7 (c) 0.052 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -44564861.\nAnswer: -13369458.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 8. Let s(n) = -3*n + 15. What is 5*m(l) - 3*s(l)?\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17 + -13 - ((-5 - -1) + (-26728)\/13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024267923 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7817.755 millennia in decades?\nAnswer: 781775.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:59 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/3 - -22. Let m(b) = 3*b**3 + 2*b**3 - 13 - 4*b**3 - b - 12*b**2 - 2*b**3. Let n be m(-12). Is h < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22\/9 - -28\/9. What is the second biggest value in -0.1, k, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4805, 9635, 14489, 19367, 24269, 29195?\n\"Answer: 12*j**2 + 4794*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*j + 722 - 130 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 27925104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q**3 + 5*q**2 + 8*q + 18. Let o(y) = -11*y**3 + 4*y**2 + 8*y + 17. Let c(w) = 6*o(w) - 5*s(w). Factor c(h).\nAnswer: -(h - 3)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -733*(0\/4 - -1). Let u = 30051\/41 + r. Is 0 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -131\/845?\nAnswer: -131\/845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -454 (base 14) to base 2\nAnswer: -1101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*(sqrt(1782) + (sqrt(1782)*4 - sqrt(1782)) - sqrt(1782)))\/(sqrt(1584) + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + -4*-4*sqrt(1584)))))**2.\nAnswer: -729\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 13. Which is the smallest value? (a) g (b) 2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-7)\/(21\/12). Suppose 4*t + 0*t - g - o = 0, 0 = 4*t + 5*g. What is the second smallest value in -0.5, t, -4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r - 2*r)*(3 - 1 - 3)*(-2*r**3 + r**3 + 6*r**3).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - (-8 - -2)) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136690947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*p + 80, 0 = 5*l - p - 8 - 123. Let m = -69 + 118. Calculate the remainder when m is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, c: 6, e: 2, d: 1, l: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 + 21607392*j**3 + 29179940207704*j**2 - 58359945237600*j + 29179983422500 = 0?\nAnswer: -2700925, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*u**3 + 22*u**3 - 17*u**3 - u**3 + 0*u**3 - u**3 + (1 - u - 1)*(-u + 2*u**2 + u) to k*u**2 + g + y*u**3 + s*u and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 2. Let x be d(2). Calculate the remainder when x\/18 - (-976)\/18 is divided by (-1)\/(-1)*23 + -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*x - 10*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0903 rounded to two decimal places?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m**3 + 0*m**4 + 0*m**2 + 17\/5*m**5 - 23 + 6*m. Differentiate j(a) wrt a.\nAnswer: 68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*b**2 - 13*b + 28*b - 89*b**2 - 15*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 4*z**2 + 7*z - 1)*(2 - 2 + 3*z) + (8*z**2 + z**2 + 0*z**2)*(5*z - 5*z + z).\nAnswer: 21*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 36*h - 43. Determine u(34).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-4\/19)\/a)\/(a\/(a\/((a*a**(1\/4))\/a*a))))**33)**(-3\/11))**(-12) assuming a is positive.\nAnswer: a**(-2997\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*h = -1024*h - 2260*h - 2613*h + 11054. Find z such that 36*z + 972 + 1\/3*z**h = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 12, 103, -125 in decreasing order.\nAnswer: 103, 12, 3\/5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -273, -268, -263, -258?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:01 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1890 and 1906?\nAnswer: 1801170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/((-119)\/(-102)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -675, -774, -881, -990, -1095, -1190, -1269, -1326?\n\"Answer: o**3 - 10*o**2 - 76*o - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 440619 divided by 193?\nAnswer: 2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 4\/7, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 3*r - 185, 1208*a + 1202*a - 4*r = 2413*a - 285 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5*y - 10220*g**3*y + 2*g*y - 115338*g wrt g.\nAnswer: -20*g**3*y - 61320*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyxzxzxxzzzh. Give prob of sequence ze.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 1.17. Let i(q) = -5*q**2 + 45*q - 3. Suppose -10*l + 98 = 8. Let h be i(l). Is x not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3160 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1.6 (b) 1 (c) 4 (d) -1 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10*s - 4)*(868 - 1736 + 865)*(4 - 4 + 3*s).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/39)\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/49, -1.1, 0.4 in increasing order.\nAnswer: -1.1, -6\/49, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*k**3*p**2 - 29*k**3 + k*u + 3*p**3*u wrt p?\nAnswer: 96*k**3*p + 9*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*r = -r + 260, -3*w + 2*r = -376. Let i = 158 - w. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c. Suppose -4*y + 6*y - 16 = c. What is the greatest common factor of y and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5*t**3\/3 + 231. Let x(i) = 8*i**2 - 3. Let k(d) = 25*d**2 - 8. Let y(c) = 3*k(c) - 8*x(c). Give y(h(a)).\nAnswer: 275*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*a + a. Let s(d) = d**3 + 12*d**2 + 9*d + 12. Let w = -45 + 34. What is the smallest common multiple of s(w) and a?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 plus 4049.26?\nAnswer: 4018.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*(-5)\/(-3)*(-636)\/(-98315).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 1126 = -469. Let h = t + 71. Let r be 3 + (0\/h)\/(-1 - -3). Solve 3*k = 2*l + 8, 7*l - 2*k + 8 = r*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-107256)\/(-2800)*(-10)\/(-72). Let y = b + -591\/56. What is the common denominator of y and 65\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 + 9 - (-108 + 82 - 6).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 367\/5. Which is the closest to i? (a) 4\/3 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000010 (base 2) in base 6?\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6443, -12927, -19419, -25919?\n\"Answer: -4*n**2 - 6472*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:05 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2 - -3) + -5 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3080, 1\/6, -1\/4?\nAnswer: 3080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 y when four letters picked without replacement from {t: 2, y: 16}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51174948 divided by 433686?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -3*y + 0*y**3 + 0 - 1\/12*y**4 + 0*y**2. Let p(n) = 2*n. Calculate h(p(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 694518*i*q**2 - 2*i*q + i - q**2 + 27*q - 89 wrt q.\nAnswer: 1389036*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301211.\nAnswer: 301211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2424*w**2 - 164*w. Let b(s) = 27*s. Calculate -6*b(h) - o(h).\nAnswer: 2424*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 = 3*s, 4*d = -3*s + 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5 - 23*l**3*t**2 + l*t**2 + l*t + 2*t**2 wrt l?\nAnswer: -40*l**3 - 138*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 85*a**3 + 0*a**2 + 67*a**3.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Let j be ((-10)\/(-6))\/(b\/18). Solve 3*k + y - j = 0, -y - 2*y - 20 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1\/21*y**4 + 29*y + 0*y**2 + 1 - 1\/35*y**5 + 4\/21*y**3. Suppose g(x) = 0. Calculate x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 4. Let o = 12 - 16. Let z be 2\/(((-14)\/o)\/(-7)). What is q(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 2240?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 170149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956144.\nAnswer: 2, 7, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3741 divided by 3?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 2*p**2 + 2*p - 4. Let c(i) = i**3 - i + 1. Calculate -4*c(n) - y(n).\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*x - 9*x + 155, -34 = -2*x - 5*h. Suppose -2*b + k - x = -4*b, 2*k - 2 = 0. Suppose -2*u + b = 3. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010110000000100 + -101?\nAnswer: 100010101111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598691679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76\/9? (a) -18\/7 (b) -5\/3 (c) -1\/2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94958657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a + 14. Determine k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p - 61*p - 8*p + 100*p - 8*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/44*11\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408642 divided by 4394.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/3 + 12*t = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -19 (b) 52\/3 (c) 0.18 (d) 0.1 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/12 - h**3\/6 - 3*h**2 + 33*h + 5. Let b(t) be the first derivative of j(t). What is n in b(n) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - -59. Suppose r = 8*g - 4*g. What is the least common multiple of g and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -123 + 266?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -241.1 and 92.2.\nAnswer: -22229.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 3*w**3 + 0*w - 4*w + w as m*w**3 + t*w + v + k*w**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 15*l**2 - 17*l - 13. Let g be a(-16). Suppose -s = -g*s + 122. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*i + 86 + 22*i + 18*i + (3 + 0 - 6)*(i - 3*i - i).\nAnswer: 12*i + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v**2 + 35*v - 16. Let p be (12 + 319\/(-22))*-2. Determine c(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -79*k**5\/5 + 3*k**2\/2 + 27*k - 258. What is the second derivative of f(d) wrt d?\nAnswer: -948*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431224 divided by 4?\nAnswer: -107806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75\/4 of a millisecond?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*k = -35*k + 927 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 0 + n**3 - 2 + 3*n**2 - 2*n**2 + 7*n**2. Let o be v(-8). Let k = o + -18. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 6, -9 in increasing order.\nAnswer: -12, -9, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331500 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16287, 64959, 146001, 259413, 405195?\nAnswer: 583347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {o: 2, w: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 * -1.2.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*l**3*v**3 - 860*l**3*v**2 + 2*l**2 - 52903*l*v**3 wrt l?\nAnswer: -312*v**3 - 5160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5391825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2012 divided by 2882\nAnswer: -1006\/1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -103. Let s = 15 + l. Which is the second smallest value? (a) 4 (b) -2\/3 (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-681\nAnswer: -68.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2276200, 2276228, 2276256, 2276284, 2276312, 2276340?\n\"Answer: 28*n + 2276172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-195))\/(-1*(-144)\/324)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.94 + 1.94. What is the nearest to p in -0.3, 3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 + 4*j**3 - 813 + 419.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 351922 = -9*g + 11*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (855\/988)\/9 + (-1)\/4. Which is the closest to -2? (a) -12 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-5)\/(35\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-10)\/5)\/((-116)\/(-1276))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - 2*i. Let b(k) = -k**2 + 3*k + 4. Let o be b(4). Suppose 5*v = 2*c + 29, o*c + i = -4*c. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(-12)*h*h)\/(h\/(h*h\/(h*h*h*h\/(h\/((h*h**(-6\/17)*h*h*h)\/h*h))*h*h*h)))*((h**(-20)*h)\/h*h)**3)**(-2\/23) assuming h is positive.\nAnswer: h**(2470\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(1331)*3)**2 - (2*sqrt(1331) + 2))*-4 + 1.\nAnswer: -191653 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 3.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -459\/10 - -46. Let r(k) = -k**3 + 6*k**2 + 17*k - 2. Let p be r(8). Let c be (8\/p)\/((-38)\/(-171)). Is t greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 65296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38448 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((594\/(-45))\/11 - -1). Sort -13, l, -4.\nAnswer: -13, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -4595?\nAnswer: -3\/4595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/8*44\/297*9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 280\/187 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*4\/(-6) - 11. Let c be 6\/2 + 10 + o. Let z(q) = -q + 4*q + 4 - 13. Determine z(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/3)\/(8\/(-12)). Solve -5*i = -20, 0*q = -2*q - 2*i + v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 5*z**4\/16 - 5*z**3\/6 + 5*z**2\/8 + 18. Solve d(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468))**2 - sqrt(52)\/sqrt(4)*2.\nAnswer: -2*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4961 - 4960.96151. Round d to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*z**3 - 4 + 3376*z**2 - 3377*z**2 - 159*z**3 as y*z + f*z**3 + w*z**2 + b and give f.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + k + 180 = 0, -2*k - 165 = 4*r - 861. Calculate the remainder when r is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -299248*i*s + i + 607305*s - 1 wrt i?\nAnswer: -299248*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2\/2 - 8*c - 4579. Suppose -b + 1 = 5*l, 4*b = l - 0*l + 25. Let r(w) = w + 9. What is b*r(s) + 7*d(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 + (15 - 37) + (5 - (7 - 12)) + 5?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.3 - -7.3. Let p = 23 - j. Let s = p - 25. Which is the nearest to s? (a) 0.11 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -767 + 756. Let m(w) = -w**2 - w. Let k(o) = -2*o**2 - o. Give y*m(x) + 6*k(x).\nAnswer: -x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 1090 = -2052. What is the remainder when 64 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344520407 divided by -6\nAnswer: 344520407\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9)**(5\/6)*(q\/q**(1\/2)*q)**14 assuming q is positive.\nAnswer: q**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -550 by 25.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -1.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, c: 1, y: 4, f: 4}. Give prob of sequence bc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 5, p: 4, u: 2, x: 2, h: 1}. Give prob of picking 2 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(72)*-1 + 4.\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o - 37. Let t be h(-5). Suppose -t*f = -14*f + 108. Calculate the remainder when 34 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, -6*c = -2*c - 5*j. Let o be c\/2*(-60)\/(-75). Suppose 0 = 53*q - 52*q - o. Solve q*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/120 + 17*d**4\/72 - 11*d**3\/9 + 7*d**2\/3 + 19*d. Factor q(y).\nAnswer: -(y - 14)*(y - 2)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**2 + 8*o**5 + 4*o**2 - 4*o**2 + 3*o**5 wrt o.\nAnswer: 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/9)\/(t\/t**0))\/(t\/(t**(-5)\/t)*t)**45 assuming t is positive.\nAnswer: t**(-3245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(102\/84 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 55, 9\/5, 5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -4*f - 2*j, 4*j + 4 = -2*f. Let d = 290.527 + 0.473. Let p = -290.6 + d. Which is the smallest value? (a) 5 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -305\/46 (c) -2 (d) -4\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -76, -176, -316, -496?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15347 - 36506. Let i = -10626 - j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39422, -39423, -39424, -39425, -39426, -39427?\nAnswer: -39428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(9 + 782\/(-85)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + -1 + sqrt(612) - (sqrt(612) - (1 + sqrt(612)))*1 - -2*sqrt(612)*-6*2)**2.\nAnswer: -552*sqrt(17) + 323757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 40, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87460 divided by 5?\nAnswer: 17492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 9, c: 2, k: 4, b: 1}. What is prob of picking 2 c and 1 b?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20412 - 4?\nAnswer: -20420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdomg. What is prob of sequence gm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 789648 and 592236.\nAnswer: 2368944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 - c + 7. Let d be k(6). Let g(y) = -y - 5. Let a = -18 + 11. Let o be g(a). Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 - 2*h**2 - 1227*h + 1230. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 2241656*v\/3 - 628127702792\/3.\nAnswer: -2*(v + 560414)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 30. Suppose 135 = 7*v - s. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 60*g**2\/7 + 256*g\/7 + 768\/7.\nAnswer: 2*(g - 24)*(g - 8)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 + 223. Suppose -2*t - 5*h = 2, 3*t + 5*h + 14 = 4*t. Suppose -f*s = -t*s - 4491. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.75 - -13. Let h = p + 0.15. Let o = h + 1.6. Sort o, -2\/19, 0.5 in decreasing order.\nAnswer: 0.5, -2\/19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**4 + 2 - y - 3*y**4 + 9*y + y**2 - 3*y - 3*y as x*y + w*y**3 + q + k*y**4 + z*y**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -85683*o**2 + 171041*o**2 - 25*o - 85677*o**2 as z*o**2 + l*o + m and give z.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*sqrt(128)*2 + sqrt(128) + 0 + -5)**2*4.\nAnswer: 2880*sqrt(2) + 41568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**20)\/z)\/z)\/(z\/(z**(-8\/3)\/z*z)*z) assuming z is positive.\nAnswer: z**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1016*v + 713?\nAnswer: 1016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4\/7 - 18*p**3\/7 - 4*p**2\/7 + 18*p\/7 + 8\/7 = 0.\nAnswer: -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 2\/19 (c) 2\/9 (d) 1 (e) -4\/3 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2507 divide 27331998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -19875778?\nAnswer: -19875772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 - 8) + 10)*28*-1. What is the highest common factor of j and 1988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-30)\/154) - (637\/13 + -36). Determine w so that -8 + 4\/5*w**2 + c*w = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Let u be w(-1). Suppose -4*m = u*a - 21, -2*m + 3*a = m. Suppose -3*o = -o + m*t - 50, 3*o = 5*t + 56. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Let k(v) = 2*v - 5. Calculate the remainder when 7 is divided by k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**3 - 3*h**2 + 5*h - 5. Let i(b) = -13*b**3 + 3*b**2 - 6*b + 6. Give -4*c(y) - 3*i(y).\nAnswer: -9*y**3 + 3*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t - 10*t**2 + 12*t)*(0*t - t - 6*t + (5 + 5 - 2)*(-6*t + 2*t + 0*t)) - 2*t**3 + 0*t**3 + 0*t**3 + (t**2 - 4*t**2 + t**2)*(-t + 4*t - 5*t).\nAnswer: 392*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70437728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 195cad?\nAnswer: 195cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150674248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 + 0*m**2 + 35*m - 39*m to r*m + y*m**2 + w and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let k = -29\/57 + 16\/19. Which is the third biggest value? (a) k (b) q (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*g + 16 = -1743*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36968 is divided by 5278?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15008182.4 less than -0.122?\nAnswer: -15008182.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6*165\/38500*-385\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 8. Let u(n) = -2*n - 6. Let l be u(t). Suppose 50 = 4*w + 2*z, -5*w - 7*z = -3*z - 67. Solve 4*g + 8 = -l*b, 0*g + w = 4*b - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -345 - -762. Suppose 4*o = 191 + z. Let u(x) = 299*x**2 - 150*x**2 - o*x**2. Let h(b) = 4*b. Calculate h(u(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffrp when four letters picked without replacement from ceerecrcccepcffcce.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*p + 60 = 2*p, 4*v - 3*p + 44 = 0. Let f(y) = 76*y**2 - 41091*y + 30 + 2 - 465*y**2 + 41108*y. Let j be f(v). Round j to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 146*r - 4169. Let x(i) = -5*i. Give f(x(u)).\nAnswer: -730*u - 4169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 16 = 0, n - 23 = 9*q - 4*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(396)*-2)**2 - (-4 + -2*sqrt(704)))*-4*4 + -1.\nAnswer: -912449 - 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = 17*o + 282 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78838, 157703, 236588, 315493, 394418, 473363, 552328?\nAnswer: 631313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 8*s**2 + 8*s - 10. Let a = -780 - -773. Determine v(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 17917517?\nAnswer: 24\/17917517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c - 1. Let u be g(1). Let s = 0 + 3. Solve -h = -2*a - 3 + 12, s*a = -4*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 94\/(-10). Let l be (n\/2)\/((-21)\/28). Calculate the greatest common divisor of l and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 - ((20 - 7) + -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 7*r - 1. Let c be ((-24)\/10)\/(27\/90). Let n be ((-10)\/c)\/5 + (-46)\/(-8). Determine s(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 111.0071 and -582.\nAnswer: -470.9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46*-1*5\/(-10). Let f = o + -530\/23. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215\/17633 or -1?\nAnswer: -215\/17633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2 - 1 - 1)*(-22*t + 7*t - 4*t).\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4.506704 * 107\nAnswer: 482.217328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2312, 7374, 15688, 27242, 42024, 60022, 81224?\nAnswer: 105618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*s = s - 17, 3*s - 8 = 4*r. Let h be r\/3*9\/(-6). Let q = 17 + -16.5. Which is the biggest value? (a) q (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + (-2)\/7. Suppose -2*x = 8, -447 = 2*r - 2*x - 499. Solve 5*c = -w*c - 5*q + 25, -r = -2*c - 5*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 3. Let o be x(9). Suppose -5*v + 3*h = -8, 2*v - 5*v - 3*h = -o. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35 + -26.929?\nAnswer: -28.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 9 - 9 - 47.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 10*x - 7. Suppose -1 = -2*t - 11. Let y be b(t). What are the prime factors of y\/4*(-3 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-6) + 20\/60. Suppose 72 = -z*d + 5*q + 12, 0 = -5*q - 15. Let l be (-58)\/d + (-8)\/(-60). Solve k - l = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3124)\/(-26) - (-8)\/(-52)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10939*i**2 + 5219*i**2 + 2237*i**2.\nAnswer: 18395*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -31, -14, 1, -1\/3, 70?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*o - 3*h, -4*o - 39 = -3*h - 71 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260222664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 348632201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -98516, -98508, -98496, -98480?\n\"Answer: 2*w**2 + 2*w - 98520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 330*w**2 + 5*w + 4. What is the units digit of y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(7\/5)\/a)\/(a**(-1\/9)\/a))\/(a**(-11)\/a**(-2\/3)) assuming a is positive.\nAnswer: a**(533\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighty-one quarters of a tonne?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94507 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 808177 + -1?\nAnswer: 808176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 1. Give i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 631.5431 centuries?\nAnswer: 6315.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 9293985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -57943 divided by 530\nAnswer: -57943\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 10) to base 15\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*t**3*y**2 + t**3*y + 2*t**3 + 5*t**2*y**2 - 46*t**2 - 10*t wrt y.\nAnswer: -104*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 889 - 905. Factor v**3 - 3*v**4 + 0 + 5\/3*v**z + 1\/3*v.\nAnswer: -v*(v - 1)*(3*v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2294\/897819 or 1?\nAnswer: 2294\/897819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -3)*(-4)\/6. Suppose -19 + 222 = 7*g. Suppose -2*x = p - 17, 5*p = -i*x - 0*p + g. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 1. Suppose 0 = 5*v + p - 11. Let t(n) = n**3 + 6*n**2 - n - 5. Let k be t(-6). Solve -v*g = -g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((0 + sqrt(704)*-1 - sqrt(704)) + 2*(sqrt(704) + 3)))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 33. Suppose -2*s - q = -6*s. Let j be -2 + s + (-2)\/(-1). Which is the second biggest value? (a) 3 (b) j (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.1 + -10. Let k = 7 - 2. What is the closest to r in -15, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (69\/23*(0 + -5))\/1. Let l(f) = f**3 + 14*f**2 - 14*f + 17. Give l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/3, 0.2 in decreasing order.\nAnswer: 2\/3, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7777 = s - 5*v, 6*s = 9*s - 5*v - 23281. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -429, -450, -477?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -385*m**2 + 383*m**2 - 53 - 23 to x + p*m**2 + k*m and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a)\/(a\/((a*a**(-2\/27)\/a)\/a)))**(-17) assuming a is positive.\nAnswer: a**(646\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sllf when four letters picked without replacement from {l: 13, o: 2, f: 1, s: 3}.\nAnswer: 13\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -1745.5?\nAnswer: 1745.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -6)*(-4195)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/20 + 27*r**3\/5 - 1599*r**2\/10 - 1681*r\/5 - 385. Factor u(w).\nAnswer: -(w - 41)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = -x, -39 - 13 = -3*b + 5*x. Factor -8 + 1\/2*o**3 + 7\/2*o**2 + b*o.\nAnswer: (o - 1)*(o + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98.1 - -31.9. Let o = 132 - w. Which is the nearest to -1.3? (a) 0 (b) o (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*t + 16 = -t, -2*z + 3*t = 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314 - 1040625?\nAnswer: -1040311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - (0 - 3 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**2 - 2*v - 2. Let m(f) = -f**2 - 1. Let g(p) = 5*m(p) - o(p). Calculate the remainder when g(2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/((-432)\/88))\/(1\/(-3)*1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 475*q**5 + 5*q**4 - 5*q**3 + 559*q**2 + 5*q + 5. Let w(c) = -c**4 + c**3 - c - 1. Let h(j) = -b(j) - 5*w(j). Find the third derivative of h(o) wrt o.\nAnswer: -28500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76, -2602, -7044, -13250, -21220, -30954, -42452?\n\"Answer: -882*r**2 - 32*r + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105.3 - 110. Let a = n - -0.7. Sort a, -2\/5, 1\/7.\nAnswer: a, -2\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1589*s**5 - 11952*s**4*x**3 + 3*s**2*x**2 + 8*s**2*x + 2*s**2 + 3*s*x**3 - 6056*x**2 + 5*x wrt s?\nAnswer: -95340*s**2 - 286848*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 766?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as 7473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*v = 15, -5*v + v + 20 = -2*u. Suppose u = -b + 9. Suppose -4*i = -b*i + 60. Solve 0 = -f + 4*f + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 63 - 45*k**2 + 122 - 59 in the form i + t*k**2 + m*k and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74036, 74027, 74012, 73991?\nAnswer: 73964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + (3\/2)\/((-45)\/(-108)) and 131\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25436751 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 10. Let s(j) = 8*j + 19. Let t(u) = 7*h(u) + 3*s(u). Let o be t(5). Solve 0 = r + 5*y + 25, o*y + 4 = r - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 2, y: 2, e: 1, x: 8, d: 2}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**3 + 2*b**2 - 2*b**2)*(5 - 7 + 8) to n*b + t*b**3 + f + o*b**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, z: 5}. What is prob of picking 3 z and 1 a?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 270 = -8*n. Let d = -26 + n. Suppose 451 = c - 5*k + 4*k, 0 = d*c - 2*k - 1808. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 16*d = -23*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(9\/12). Let u be ((-1)\/3)\/((-48)\/32880)*3. Let r = u - 682. What is the highest common divisor of r and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2\/17, 17, 0, 0.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -153. Let u(g) = q*g**2 + 5*g**2 - 5*g**2 - 4*g**2. Let k(h) = 98*h. Determine u(k(b)).\nAnswer: -19208*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -83c (base 15) in base 4?\nAnswer: -131001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15789 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 - 8*t - 9. Let g be b(-7). Let s = 641 - g. What is the remainder when s is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -102587 and -102587 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*4*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15959 + 36985. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 190\/2 - (-4)\/(-12)*-9. Suppose -3*j + d = 4*j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - n - n = 6, 0 = m - 2*n - 10. What is the hundreds digit of m\/16*284*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(60)\/(sqrt(18)\/sqrt(3))) + ((1*-1*sqrt(171))\/sqrt(9))**2.\nAnswer: sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c + 38*c - 168 = -30*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 12. Give c(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -251967955 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 221647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80264 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -46196 (b) 4\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 2440?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/20 - 13*n**4\/12 + 41*n**3\/6 - 11*n**2\/2 - 1596*n - 1. Calculate r(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:54 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + (-6 - -10) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:21 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let h(k) be the second derivative of 11\/12*k**4 + 0 + 0*k**3 - 5*k + 0*k**2. Determine h(b(q)).\nAnswer: 44*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1, 4 in increasing order.\nAnswer: 1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -730910 rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -190*p**2 - 3*p + 1. Let x(g) = 758*g**2 + 11*g - 3. Give 22*s(l) + 6*x(l).\nAnswer: 368*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202397581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 92846\/(-3)*(-5)\/(-40). Let i = -3865 - p. What is the common denominator of -87\/28 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 81*j + 108 = -78*j, 0 = -2*l - 3*j - 18. Which is the second smallest value? (a) -2.4 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26046*n**5 - n**2 + 19502*n?\nAnswer: 1562760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 1. Let n = 68 - 55. Suppose 3*p + 4 = n. Suppose 3*q = 5*f + 8 - 10, -f + 10 = -p*q. Give a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 1059*q - 582*q - 3*q**3.\nAnswer: q**3 - 1641*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 197 (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712384763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -23*u. Let c(b) = -11*b. Let p be (0 + -2)*-2 - -5. Give p*c(x) - 4*o(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = q + 4*a - 25, -2*q - 4*a = -42. What is the derivative of 0*x**2 - x**2 - q*x**2 - 20*x**2 - 2 wrt x?\nAnswer: -68*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.02 - 3.02. Let j = 4 - 4.2. Which is the second biggest value? (a) j (b) x (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.697923mg?\nAnswer: 4697.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.4101945 less than -1348?\nAnswer: -1875.4101945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 + 146.7\nAnswer: 146.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195876 + -360166. Round t to the nearest one thousand.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven halves of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17019)\/(-450) - 38)*(-5 + (-10)\/(-3))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-27)*k)**(2\/5))**(-2\/45) assuming k is positive.\nAnswer: k**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 10, 47, 120, 241?\n\"Answer: 2*o**3 - o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuububbbbu. What is prob of sequence bu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.305 or 0.035756?\nAnswer: 0.035756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266674587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 > -304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 20, 2*o - 154*u + 28 = -149*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/7, 21, -273225?\nAnswer: -273225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66596 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.069? (a) -4 (b) 5 (c) -2 (d) -19 (e) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*p**3 + 14*p + 8*p**4 + 0*p**3 - 7*p wrt p?\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 12. What is the common denominator of (2 - (-146)\/j)\/(-9) and -139\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2433, 9905, 22367, 39819, 62261?\n\"Answer: 2495*x**2 - 13*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*s**3\/8 + 3*s**2\/8.\nAnswer: 3*s**2*(21*s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 4. Let l be p(12). Find the common denominator of (-46)\/l - 2\/8 and 73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 20 - 2. Solve 0*b + 10 = k*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) + (-242)\/(-4). Suppose -5*w + 280 = 2*q + t, 5*w = -q + 218. Suppose 7*v - w = 3*v + a, 2*v + 4*a - 8 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 12.0075. Round a to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 12 = -7*n. What is the tens digit of (1 - -71) + (0\/n - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 5\/6*m**4 + 105*m**2 - 2\/5*m**6 + 1\/6*m**3 + 0*m**5 + 0. Find the second derivative of h(g) wrt g.\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*l + 1636*l - 2074 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*g + 5*g, -5*g + 2*m = -35. Suppose -4*o = -2*z, 7 = -0*o + o - 4*z. Calculate the remainder when 14\/((-2 - o) + 3) is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 1, -0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -3*t**5\/10 + 5*t**2\/2 + 70*t. List the prime factors of w(-4).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((-2 + (2 + -1*sqrt(432) - ((sqrt(432) + -1*sqrt(432))*-6 - sqrt(432))) + -5)*6*-3)**2.\nAnswer: 40498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 911.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 8. Suppose 0*q - q - 21 = -4*w, 5*w + 2*q = 23. What is the highest common divisor of w and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*b + 14 = 59, 27 = -4*t + 3*b. Let g be (-2 - -5)*(-15)\/t. Suppose -g*x + 64 = -56. What is the greatest common divisor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1376 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 928*t - 5722. Let k(r) = -619*r + 3815. Let i(s) = 5*h(s) + 8*k(s). What is the derivative of i(g) wrt g?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5322*j - 196921. Give g(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 6*o**2 - 5*o + 5. Let k be y(5). Let d be 36\/165 - 2\/k. Which is the second smallest value? (a) -2 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = -4. Let o(p) = 9*p - 5. Let l(g) = -4*g + 2. Suppose 4 = -c - 3. What is c*l(t) + n*o(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q. Let o(b) = 4 + 2*b + q*b - b. Determine o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d - 69*d = 31*d - 68 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 2*c**2 + 15*c + 19. Let z be t(-6). Let s be (516\/z)\/((-2)\/5). Do 5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883002301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(-2*7\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -428, -425, -412, -389, -356, -313?\n\"Answer: 5*y**2 - 12*y - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + p)*(-p**3 + 52*p - 52*p)*(91*p + 49*p + 2*p).\nAnswer: 142*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/12 + 4*z**3\/3 + 8*z**2 - 9*z - 9. Let o(g) be the first derivative of s(g). Factor o(f).\nAnswer: (f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 12:30 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 + 2 = 0. Suppose -2*t = d*u + t + 27, 3*t + 6 = 3*u. Let c(z) = -z**2 + z + 2. What is c(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - p**2 + p. Let a(l) = -3*l**3 + 42*l**2 - 53*l - 18. Suppose -12*r - 40 = 8*r. Let t(k) = r*a(k) - 4*b(k). What is x in t(x) = 0?\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**6 + 139610184*c**5*k - 7*c**2*k + 886*c**2 - 3*c + 13*k + 3 wrt c.\nAnswer: 360*c**3 + 8376611040*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*(q*q\/(q*(q\/(q**5*q))\/q))\/q*q)\/q))\/q*q)\/q**(-2\/15))\/((q**6\/q)\/(q**(1\/6)\/q))*((q**(1\/3))**(-6\/7))**(-1\/18) assuming q is positive.\nAnswer: q**(-7361\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ycacadyllaayya.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 18*r**2 - 17*r + 15. Calculate the smallest common multiple of 24 and n(17).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2229 + -1472. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292734 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2 + 0*m + 8\/3*m**3 - 2*m**2. What is the second derivative of s(a) wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 73*z - 39. Let h(q) = q + 11. Let d(f) = 4*h(f) + v(f). Let t(x) = 19*x + 1. Determine -2*d(u) + 9*t(u).\nAnswer: 17*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2003071 + 34610\nAnswer: -1968461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.927 - 0.073. What is the closest to -3\/5 in -3\/2, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/13 + 97082*a\/13.\nAnswer: 2*a*(a + 48541)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14b - -154c3c?\nAnswer: 154ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - -12. Let r = d - -28. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 18*v**2 + 69*v - 22. Give u(-9).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/10266675 and -23\/20.\nAnswer: 41066700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:41 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 - j + 6. Let d be x(0). Suppose t = d*t - 10. Solve -t = p - 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18375 (base 11) in base 7?\nAnswer: 135012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-9)\/(-27)). Let z(r) = r. Give z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*r. Let w = 4 - r. Find the third derivative of 2*g**3 - 5*g**3 - g**3 + w*g**2 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 90.5. What is the closest to 1\/3 in m, -15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3190, -3187, -3184, -3181?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 877659 > 877654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/15, 0.2, -0.151 in decreasing order.\nAnswer: 0.2, 2\/15, 0, -0.151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 70*t - 171. Let k(s) = -s**2 - 17*s + 43. Let h(a) = 9*k(a) + 2*x(a). Give h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooooooooooooloo?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 8*c - 678 = 0. Let m = 577 - c. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2))\/((-40)\/64)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4*(a\/a**(3\/20)*a)\/a*(a\/(a**(2\/11)*a*a))**26 assuming a is positive.\nAnswer: a**(-5693\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206.9 - -208.9. Which is the second biggest value? (a) -29 (b) -4\/3 (c) -0.5 (d) i (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-62*112\/(-6076))\/(((-4)\/(-602))\/1)).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-864)\/9)\/(-6))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*c - 17 - 736 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 4. Let s = 7 - j. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -8, 0 = 5*b - 0*b - 4*f + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 31702\nAnswer: -1\/31702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 53*u + 145. Give q(49).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63646425 and 135?\nAnswer: 63646425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (53\/(-51) - -1)\/((-18848)\/372 - -50)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9440*w**3 - 12860*w**3 - 14758*w**3.\nAnswer: -18178*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -117*s - 3. Let v be w(-1). Suppose v = a + 5*d, 0 = 2*a - d - 177 - 84. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 19.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-2)\/3)*15\/35. Let x(j) = -j**2 + j + 2. Let g be x(0). Determine a, given that 2\/7*a**g + 0 - 2\/7*a**3 + 2\/7*a**5 + 0*a - w*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -68 - (38 - 51\/1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37\/66 + -2\/33. Sort 5, 2, 3, j.\nAnswer: j, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m**2 - 2*m + 3. Determine f(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 - 3*m**2 - m + 3. Let r be d(-2). Let o = -42 + r. Suppose 0 = -2*f + o*f - 210. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let i = -11 - -13. Let u(d) be the third derivative of 0*d + 0 + 0*d**3 + d**i + 1\/12*d**4. Calculate u(n(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*b*c + 4*b*v**2 + b*v - 9*b - 228*c*v**2 - 2*c*v wrt v?\nAnswer: 8*b*v + b - 456*c*v - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 13 - 19)*(2 - 3*y - 2 + (0*y + 0*y - 2*y)*(3 + 0 + 0)) + (4*y + 0*y - 2*y)*(0 - 2 + 0) to g + k*y and give k.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + 3*sqrt(2299) + sqrt(2299)) - (2 + -1 + (sqrt(2299) + 0 + sqrt(2299) - sqrt(2299))))**2.\nAnswer: 3366*sqrt(19) + 664492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:40 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 45*b**2 - 207*b + 519. Determine x(49).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:42 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/(-14) + -3)\/(2\/528). Let b = j - -144. Suppose 2 = -x + 2*l, 6*l = l + 15. What is the highest common divisor of x and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026324391 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*q**4 - 2*n*q**2 - 5*n*q - 4*n - 172513223*q**5 - 359*q**2 + 15*q + 3 wrt q?\nAnswer: 24*n*q - 10350793380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1071 - 1069. Let u(q) be the first derivative of 4\/5*q + 7\/5*q**k + 9 - 7\/10*q**4 - 4\/15*q**3. Find t such that u(t) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 4 (b) 0 (c) 0.4 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*s + 3*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*6\/(60\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and 36188?\nAnswer: 36187.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -195, -171, -147, -123?\n\"Answer: 24*l - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-135)\/(-15)))\/((-1)\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 83*p - 1492. What is v(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -x + 1057, 4*x = -0*w + 3*w + 4210. Suppose -3*b - 5*p + 828 = 0, -5*b + 339 = 5*p - x. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-59 + 8) - (-3 + -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 99110\/(-1100) - (-2)\/20. Is -79 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33, -1 in decreasing order.\nAnswer: 2, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900 divided by 3.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 10*r + 35. Let o be j(17). Let z = -154 + o. Solve 2*u - 2*i - 4 = z, -5*u - 8 - 32 = 5*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 8, 22, 52, 104, 184, 298, 452?\n\"Answer: m**3 - m**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 - 8. Let x be t(0). Let l = x - -12. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -87.\nAnswer: -200.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 1. Suppose -l + 5*h = -25, -l = -5*l + 2*h + 46. Let j be 450\/20*8\/l. Suppose 4*m - 17 = x + 4, 0 = 2*x - 2*m + j. Calculate q(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23342431042 + 0?\nAnswer: -23342431042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 141 = 5*b, c - 5 = 2*b + 28. Let o = -35 + c. Suppose -5*i = -i - 8. Solve 3*a + 2 = -o*k - 0, i*k + 2*a + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32619 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1125293 - 775293. Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*u + 144 = -108*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4838119 by 33833.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5))**21)**(-6) assuming n is positive.\nAnswer: n**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q - 4*p + 14 = 0, -2*p = 3*q - 17. Suppose 27 = 25*o - 198. Let c be 13\/((-39)\/o) + 7. Solve -24 = q*l - c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*p - 18*p + 11*p**2 + 9*p wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220221201 (base 3) in base 2?\nAnswer: -100011100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.13, -16, 16?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/168*4*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4977540 divided by 6.\nAnswer: 829590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 4*n + 53 = 0, -32485*d + 32480*d + n - 16 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*g + 86 = 0, 3*t + 2*g = t + 164. Let s = 150 - t. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/7 - 2. Let w = -1142943 + 1142963. Which is the closest to -2? (a) -2 (b) h (c) w (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 divided by -385?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 (base 7) in base 3?\nAnswer: 101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/4)\/(-5)*(-28)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 10*d**4\/3 + d**3\/6 + 105*d + 3. Let r(i) = -i. Give a(r(x)).\nAnswer: 40*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 (base 16) in base 10?\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12583 (base 14) in base 5?\nAnswer: 2414444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*g + 665*g = 11790 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492226 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + -68 + 56 - -50?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3*z - 5*z + (z - 3*z - 2*z)*(-6 + 5 + 7)*(-6 + 2 + 3).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -807 + 1148. Is 48 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 138112781 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + f. Let r(v) = 658*v**2 + 10*v. Give 30*n(w) - 3*r(w).\nAnswer: -2094*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) 30\/11 (c) -23 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157616659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2 = 0, 4*a + 38*y + 13*y = 17*y - 12 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-7) + (-13)\/(637\/(-154)). Suppose 4*i + 0*i - 302 = -u*a, 3*a - 310 = -2*i. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*z**2)*(-2*z + 6*z - z) + 30*z**3 - 5*z**3 - z**3 + 4*z**3 - 3*z**3 + z**3 + (0*z + z**2 + 0*z)*(-3*z + 6*z - 2*z).\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y + 50*y - 81 = 0. Solve 0 = -4*t - 7*f + 8*f - 2, -5*f + y = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26604 (base 9) to base 10\nAnswer: 17986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 25*d = 20*d + 15, 4*d = -3*s + 35. Solve -9 = -4*i + 3*j, 6*i + 2*j = s*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93826780 or -93826781?\nAnswer: -93826780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/43, 2, -1\/4, 1464, -1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -733, -1474, -2215, -2956, -3697?\n\"Answer: -741*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117 - 3*w**3 + 9*w + 238 - 127.\nAnswer: -3*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20860, -70266, -148216, -254710, -389748, -553330, -745456?\nAnswer: -966126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68160 and 51120?\nAnswer: 204480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggsvssgvogggg. Give prob of picking 1 s and 2 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -19 - 1\/2*f**3 + 9\/4*f**2 - 1\/8*f**4 - 5\/2*f. Factor i(h).\nAnswer: -(h - 1)**2*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 25*z**2 + 37*z - 64. Is g(-23) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.8 - 66. Round t to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 27428864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*f**2 - 322*f**2 + 5*f + 658*f**2 - 5*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56718.3 litres in millilitres?\nAnswer: 56718300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219105 is divided by 136.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let l(k) = -39278*k - 861. Let u(m) = 1267*m + 28. Let d(s) = -4*l(s) - 123*u(s). Give r(d(p)).\nAnswer: -2542*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1009 and -1152.5.\nAnswer: -143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -592\/7. Sort -0.3, 0.1, g, 4 in increasing order.\nAnswer: g, -0.3, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19300?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491936 != 4491942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.679284 rounded to 3 dps?\nAnswer: -64.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 18. Let r be d(-8). Suppose -r*c + 4*j = -120, j - 245 = -5*c - 0*j. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, 153\/14, 3, -1, 0.6 in ascending order.\nAnswer: -1, -0.1, 0.1, 0.6, 3, 153\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + m**2 + 3*m - 3*m**2 + 4*m to the form p + t*m + o*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 69.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -28. Suppose 4*t + o + 35 = 5*y, -y - t = -4. Let s be 8*3*y\/9. What is the greatest common divisor of s and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/44, -1\/4, 0.1 in increasing order.\nAnswer: -1\/4, 0.1, 9\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 43*r + 55 = 48*r, r - 8 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 154653 - 154622 - 154654 + 463929.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21157, -21176, -21183, -21172, -21137, -21072?\n\"Answer: w**3 - 26*w - 21132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 1, 0, -1 in descending order.\nAnswer: 1, 0, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:31 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (1 - 0 - -1). Let r = p + 1. Let c be (-4)\/14 + 69\/21. Solve r*x + 6 = -d, 2*x + 3*d + c = 2*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 3 = 0. Let c be 18\/10 - (-8)\/40. Suppose m*o + c*o = v + 16, -5*o + 20 = -5*v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -2, -0.16.\nAnswer: -2, -0.16, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -d - 119837, -17*r + 2*d - 23985 = -18*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduuuuuuuuuuuudduu. Give prob of picking 1 u and 1 d.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 462)*(1 + -2). Suppose -5*a = -i + 85. Suppose l + 18 = a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k**2 + 0*k)*(35*k + 3*k - 7*k + 30*k) as p*k + o*k**3 + i*k**2 + y and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:52 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -4 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*n + 2, -6 = -2*b + 2*n - 4*n. Find the third derivative of 1 - m**2 + 11*m**b + 10*m**3 - 1 wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -358 + 1007. Suppose -j = 4*h - 1969. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128\/7*l**3 - 12800\/7 - 2560*l - 2\/7*l**5 - 5312\/7*l**2 + 62\/7*l**4 = 0. Calculate l.\nAnswer: -4, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 351825*t - 351988*t + 1 - 2*t - 3*t + 3*t + (2*t + 1 - 1)*(3 - 2 - 2) in the form f + n*t and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*r*v**2 - 2114*r - v**2 + 2*v - 1 wrt v?\nAnswer: 160*r*v - 2*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 10*x + 20. Determine l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*p - 309 = -p, -5*p + 15 = 0. Calculate the lowest common multiple of b and 3.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11565 rounded to 3 dps?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53580 and 1786.\nAnswer: 53580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 22, 0, -12, 165, -3 in descending order.\nAnswer: 165, 22, 0, -1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*u - 4, 0 = -5*y + 5*u - 0 + 20. Which is the closest to 3\/7? (a) y (b) 1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {e: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 - ((114 - 68) + -25)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/11284 and -3\/52.\nAnswer: 11284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(226911\/(-1935) + 120).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/52*(-12)\/168\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irzmifz. What is prob of sequence mz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13546215 + 4.3?\nAnswer: 13546219.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 111 = 3*o, 2*b = 10 - 4. Solve -283*i = -290*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -1 + -2 - (6*(0 + sqrt(208)) + sqrt(208) - sqrt(208))**2) + -2)*-3.\nAnswer: -12*sqrt(13) + 22479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -109*w + 6. Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*c**2 + 50\/9 + 20\/9*c.\nAnswer: 2*(c + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t**2 - 4*t - 26. Let i(b) = -5*b**2 + b + 9. Determine 11*i(a) + 4*l(a).\nAnswer: a**2 - 5*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*r - 143 = 0, -r - 735 = -5*y + 4*r. Suppose -338 = 3*z - a, 0 = -2*z - 5*a - y - 49. Is z equal to -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 22538900*g + 63500251651250 = 0. What is g?\nAnswer: 5634725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.5 (c) 5 (d) 0.017 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535 + -439. What is the greatest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + c + (1 + 2 - 4)*(c - 2*c + 3*c) + 6 - 3*c - 6 - c - c - 2*c + (-2 - 3 + 4)*(-113 + 113 + 27*c).\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(32) - (sqrt(11) - -4*sqrt(275))**2.\nAnswer: -4851 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -4, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 4 - 8)*(-1 + 0 + 2)*(-49*z + 8*z - 48*z) to g*z + u and give g.\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/7 (c) -98 (d) 0.1 (e) -4\/131 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -882 + 79. Let c be 1*((-2)\/3)\/((-10)\/1095). Do t and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/12)\/(((-3)\/(-22))\/(56\/77))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 2*q**3 - 3*q**2\/2 + 1045*q. Let s(w) = 50*w**2. What is m(s(b))?\nAnswer: 600*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 198374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 111. Suppose 10*g = 8*g + p + 10, 4*g - 14 = q*p. Let j be 4*3 + 0 + -2. Solve 4*c + j = g*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5 + 1925234*w**4 - 463316706956*w**3 + 463310931264*w**2 + 926629563456*w = 0.\nAnswer: -1, 0, 2, 481308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 35628229?\nAnswer: 71256458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (29 - 39) - 32\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -117\/14. Let m = i - -6\/7. Factor k**2 - m*k + 0 - 1\/2*k**3.\nAnswer: -k*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 3*i**2 - 384*i - 386. Let z be m(-1). Find r such that -4\/11 + 2*r - 32\/11*r**2 + 14\/11*r**z = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 379 = 8*k + 3*r, 895 = -5*k + 3*r. Let f = -165 - k. Calculate the remainder when 32 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-4)))\/g**(-2\/5))\/((g*(g**2\/g)\/g)\/g)**43)\/((g\/g**2)**40*(g**1)**(2\/7)) assuming g is positive.\nAnswer: g**(1544\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 2*i + 80. What is the lowest common multiple of 18 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4, -2045583 in decreasing order.\nAnswer: 4, 3, -5, -2045583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -969, -3227, -7609, -14823?\nAnswer: -25577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 161 = -4. What is the remainder when ((-85)\/c + 1)*-6 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179*-0.0415.\nAnswer: 7.4285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -511834.91 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(11\/4)*h)\/h**6)**(-9) assuming h is positive.\nAnswer: h**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2988, -6240, -9680, -13308?\n\"Answer: -94*w**2 - 2970*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.09734\nAnswer: -0.09734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-343))\/((-19)\/(-7))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6204929 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/2 - 5*f**3 + 2*f**2 + 21*f + 27\/2 = 0. What is f?\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 0*j + 0*j - 5*j)*(-4*j**2 - 4*j**2 - j**2) to u*j**4 + v*j + x*j**3 + t*j**2 + b and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07741 and -8?\nAnswer: 0.61928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = v + 12, 3*v = f - 4. Suppose -598 + 126 = f*b. Calculate the common denominator of (b\/(-16))\/(-1)*2 and -77\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 534 = -434. Sort -1, -6, -4, u, 5.\nAnswer: -6, u, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80987\/9 + 1\/2. Let y = 12194 + -3192. Let v = q - y. Find the common denominator of v and -31\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkmblb. What is prob of sequence bml?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24587 and 207?\nAnswer: 221283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 37\/2, 0.2, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f + 2. Let d be v(4). Factor 0 - 2\/5*g + 1\/5*g**d.\nAnswer: g*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1541 - 4.3684. What is h rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 27*p - 1)*(1 + 1 - 1)*(2*p**2 - 4*p**2 + 25*p**2 + (p**2 - p**2 + p**2)*(2 + 1 - 1)).\nAnswer: -675*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/6)\/((-125)\/(-25)). Let n(t) be the first derivative of 4 + 0*t + s*t**2. Let z(h) = 4*h**2. What is n(z(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*f - 353 + 116 + 22. Solve -32 = g - b - 25, -2*g + 7 = f*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*l**5 - l**3 + 123*l**2.\nAnswer: -3480*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, h: 3}. What is prob of picking 4 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115440.2ng to grams.\nAnswer: 0.0001154402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkwkcwxkwkxxwxxw. What is prob of picking 2 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4365.14? (a) -1\/3 (b) -2\/7 (c) -5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/63 and -43\/519831746?\nAnswer: 4678485714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.35, -151?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 - 21*h - 1. Let o(a) = -7*a**2 - 43*a - 2. Let x(k) = -5*c(k) + 2*o(k). What is the units digit of x(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 43 + 44 + 49 - 135 - 32*t**2 + 38*t**2. Let z(s) = -27*s + 2. Calculate w(z(m)).\nAnswer: 4374*m**2 - 648*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**4 - 68*d**3 - 212*d**2 - 88*d.\nAnswer: 4*d*(d - 11)*(d + 2)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:13 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 2 + 61*77. Suppose 0 = 6*a + 6*a - i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -110*p**2. Let f(v) = 5*v**2 - 5792*v - 1. Give f(x(c)).\nAnswer: 60500*c**4 + 637120*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, 3, -3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2927521*t**2\/12 - 1711*t\/6 + 1\/12 = 0 for t.\nAnswer: 1\/1711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -15, 0 = 2*q + 4*t - 38. Let k(o) = -o**3 + 12*o**2 - 10*o - 8. Let y be k(q). Solve y*p - 8 = 2*i - 2*p, 0 = 2*i + 2*p + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3302 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 171484?\nAnswer: -171494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let q = -3.194 - -0.194. Which is the closest to -0.1? (a) o (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5295, 42304, 142749, 338346, 660811, 1141860, 1813209, 2706574?\nAnswer: 3853671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3cdc9 + 3?\nAnswer: 3cdcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -40, -5, -6, 26 in descending order.\nAnswer: 26, 2, -5, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.054 + -0.154. Let b = 0.05 + 0. Is b < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 133. Let h = b + 92.00000342. What is h rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*o - 13 + 47 = 0, o = p - 11. Calculate the highest common factor of 112 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (2 + sqrt(11) + 4))**2 - (((sqrt(539) - -3*sqrt(539)) + sqrt(539))**2 + sqrt(11)).\nAnswer: -13439 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (4 - (9 + -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0601 + -990840?\nAnswer: -990838.9399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6368066 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -838*n**2*p**3 + 19*n**2 + 1109*n*p**2 + 20*p**5 wrt p.\nAnswer: -5028*n**2 + 1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/735 - -1619\/735. What is the second smallest value in 4, 2\/5, d, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3\/7, -5, -11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o - 282 + 282 to the form l + j*o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p + 8. Let l(t) = t + 1. Let q = -12 - -4. Let f(d) = q*l(d) + g(d). Let y(u) = 4*u - 8*u + 5*u. What is f(y(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 63\/2. Let t be -3*(3 - 18285\/6093). Let n = t - 1392\/12863. Which is the third smallest value? (a) q (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {e: 8, m: 8, t: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 172*a - 299. Calculate the remainder when w(8) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = -g, -2*g = 4*y + g - 65. Suppose -6*i = i - y. Solve 0*w - 4*w - x = -2, 2*x = i*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.3 (b) 3 (c) -7\/4 (d) -0.2 (e) -3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:15 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(4 - 3 + 0)*(-2 - 2 - 25)*(3*r**2 - r**3 - 3*r**2).\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10815620 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 210097917247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384712779 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 + 3. Let w(q) = 4*q - 22. Let m be w(5). Let g(y) = -y**3 - 2. What is m*p(x) - 3*g(x)?\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 11*c - 7*c, 3 = 2*a + c. Suppose -3*k - 3*n + 99 = 0, -2*k + 82 = -2*n - a*n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(1100) + 3)*-2.\nAnswer: 10 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m + 4. Let q(b) = 4*b - 20. Let z be q(-7). Let w = z - -45. Is r(w) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 - 302. Let m(f) = f**2 - 45. Let w be m(k). Calculate the highest common factor of w and 504.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.13*-522\nAnswer: 1633.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*o - 16*o - 26*o + 34*o + 148*o to the form v + u*o and give u.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 69 = h, -6*h + 3*k + 317 = -h. What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 19*t - 74. Let x be o(22). Let a(v) = -v**3 - 8*v**2 - 6*v - 49. Give a(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 412*y**2 - 81721*y + 4308172.\nAnswer: (y - 547)*(y - 44)*(y + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**6\/120 - m**5\/12 + m**4\/8 - m**3\/2 - 3*m**2. Let o(j) = 12*j - 6 + j**2 - 4*j**2 + 4*j**2. Let i be o(-12). Give r(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 25*o**2 - o + 29. Let n be r(25). Suppose -11 = -n*l - 3. Suppose -2*f = -3*f + 3*q + 76, -l*f + 138 = q. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 24 = -57*w. What is the biggest value in 0.34, -0.4, w?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + i - 9*i + 71 = -4*z + 35, -2 = -i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 2*a**2 - 2*a + 2. Let m = 0 - -2. Calculate v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from iwipiwppi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14767 + -1.1451?\nAnswer: -1.29277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**3 + g**2 - g - 1. Suppose 0 = 7*b - 2*b - 25. Calculate the remainder when w(-1) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4481010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 8. Let -3 + 4 + 3 - t**l + 2*t - t**2 = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -747520*l. Let k(q) = q**2 - 5*q. Give k(z(t)).\nAnswer: 558786150400*t**2 + 3737600*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 5. Let p be l(-6). Let g = 3 - p. Is -0.1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 1. Let j be s(1). Suppose -3*d - d - 5*p + 237 = j, -233 = -4*d - p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.71 + 44. Suppose 4*w = -3*r + 1220, -5*w + w + 1244 = -3*r. Suppose -313*z = -w*z. Sort z, -0.4, j in descending order.\nAnswer: j, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12832.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 3. Let h be 42\/36 + (-1)\/6. Let o be (-1 + h)\/(-4)*-1. Calculate k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/11 in 11, 3, -0.2, -2\/69, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921855.\nAnswer: 3, 5, 11, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*u - 11. Suppose u = 8*f - 55. Solve -2*v = -3*h - v - f, 5*h + 3*v = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(-3 + (sqrt(1539) - sqrt(1539)*3)*2 - (sqrt(1539) - sqrt(1539)*-1)*4*-4))**2.\nAnswer: -13608*sqrt(19) + 10859265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 5, p: 8}. What is prob of picking 2 a and 1 p?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1276247?\nAnswer: 5\/1276247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -9154300314 and -0.4.\nAnswer: -9154300314.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 2630 (c) -27 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5728 divided by 18059\nAnswer: 5728\/18059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 12 in decreasing order.\nAnswer: 12, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 83283690\/37 and 2250911 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**3 - 7*h**3 - 8*h - 228 + 12*h**3 + 8*h in the form b*h**2 + y*h + v*h**3 + c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 927*s**2. Let g(z) be the second derivative of z**4\/6 - 3*z - 10. What is l(g(i))?\nAnswer: 3708*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0.644.\nAnswer: 3.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4676 + 0.4676. What is the closest to 1\/2 in 1\/5, u, -0.111?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766663?\nAnswer: 367, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n + 1177. What is the thousands digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**2\/2 - t - 4. Let k be s(4). Suppose 4*y = k*b + 32, -b - 60 = -4*y - 5*b. What is the least common multiple of 7 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.23 and -4152.1.\nAnswer: -4176.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14801?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2439 - 366 - 3*o + 2*o.\nAnswer: -o - 2792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, 2*g = 4*x - 94 + 78. Solve 3*l = x*j - 16, -9 + 5 = -j - 4*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -308 + 310. Solve j*z - 2*f = 0, -z - z - 5*f = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/70 - (-59105688)\/(-10). Let l = -195075455\/33 - k. Let p = l - -2413\/3. Calculate the common denominator of -38\/5 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200862291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1) - ((-40)\/(-12))\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -2322\nAnswer: -31\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9 and 65\/13652.\nAnswer: 122868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**4\/4 + 7*z**3\/3 + z**2\/2 - 2*z + 5. Let u be k(7). Solve 3*l = u*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 13 (c) 263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123610*t - 123858*t + 247462*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g + 17*g - 13*g. Give t(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156 - -154 - 45\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 4*z - 5*z + (4 - 4 - 4*z)*(-2 - 2 + 3) + z + 2 - 2 + 3*z - z + 0*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6166 - 61747\/10. Calculate the common denominator of -125\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.378 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 3 + 4*m + 3*m**2 - 6*m**2. Suppose 7*p - p - 60 = 0. Let w be (p\/4)\/(20\/40). Determine s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -708*a**5 + 68*a + 2 wrt a.\nAnswer: -14160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:08 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-54)*(-128)\/80\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.21?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1339, 1272, 1095, 754, 195, -636, -1793?\n\"Answer: -9*b**3 - b**2 - b + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 + 53*h - 104. Let y be i(11). Let v = 9\/2 + -5. What is the closest to v in -0.03, y, 5\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v - 6 = -90*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2, -3*z - z + 4*x = -28. Suppose z*i - 6*i + 90 = 0. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 288. Let u be (2\/q)\/(36\/63). Factor -5\/8*n + u*n**2 + 1\/2.\nAnswer: (n - 4)*(n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4374 and 1998?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/9)\/y)*(y*y\/y**(-4))\/y)\/(y**(-2\/7))**(5\/13))\/(y*y**(2\/5)*y*y*y**(1\/2))**(-1\/11) assuming y is positive.\nAnswer: y**(602401\/90090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437026 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116892732 to the nearest integer?\nAnswer: 10812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1186, -2537, -3888?\nAnswer: -5239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t + 3 + 12*t**2 - 8 + 4*t**2 + 4 - 5*t**2 as n*t + w + c*t**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123.21 + -123. Round i to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 274543519*o**2 + 1477978144 wrt o?\nAnswer: 549087038*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/120 - 3*y**5\/20 - y**4\/8 + 19*y**3\/6 + 4*y**2. What is the units digit of l(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 62 = -7*m. Which is the nearest to 0.1? (a) -0.2 (b) 0.3 (c) m (d) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60933423 divided by -317\nAnswer: -192219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(180) + 2*sqrt(180)))\/(6*sqrt(12)\/sqrt(3)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.846 + 3.84. What is the second smallest value in -2, x, -2\/5, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2433 times 49108?\nAnswer: 11947.9764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 4, k: 1, j: 3}. What is prob of sequence aa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**4 + 19*a**3 - 4*a**2 + 4. Let k(u) = u**4 + u**2 - 1. Let y(g) = -4*k(g) - o(g). Factor y(p).\nAnswer: -p**3*(p + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 302 + -282. Solve -3*h + c - 6 = -5*m, -2 = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557021 is divided by 187.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102010301 (base 4) to base 7\nAnswer: -425561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 + 3*u - 3. Let p(l) = l**2 + 3*l - 3*l + l. Let g(z) = j(z) - 3*p(z). Calculate g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/360 + n**3\/3 + n**2. Let i(q) be the first derivative of z(q). Give i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296074710 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103012*a = 104091*a - 8632 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1\/7 (b) -0.2 (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 10) in base 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:47 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 24*u + 46 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 14*q + 12*q = -23, 5*r + q = 22. Solve r*a = 2*h + 25, 8 - 3 = -4*h - 3*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*q - 5669653 + 5670247 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -302 (b) 1\/23 (c) 0.4 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 7. Let c be u(-6). Put c, 4, -12 in descending order.\nAnswer: c, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by 3.\nAnswer: -127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)\/((-3)\/(-2)). Let q = 4 - j. Suppose q*i + 0*i + 40 = z, 75 = 2*z - 3*i. Solve h = 5*l - z, -4*l + 5 = 4*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(35\/10))\/((-1)\/9*4\/6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 904020.9ng in grams?\nAnswer: 0.0009040209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -14*b + 9*b. Let w be 9713\/26724 + b\/(-4). Let r = w + -20\/131. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -495860 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 18854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934322864?\nAnswer: 2, 4219, 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 722760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7451 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2. Let v(b) = -3798*b - 2. What is s(v(m))?\nAnswer: -14424804*m**2 - 15192*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b - 560*b + 154 = 855*b + 1732 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2790282ml in litres?\nAnswer: 0.0002790282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*t - 8, -5*t + 16 = -23*q + 24*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*v + 4, 4*o + 2*v - v + 1 = 0. Let t be 2*(-1)\/(-4)*o. Is -1\/163 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/11)*x\/(x*x**(1\/8))*(x*x*x**(-16)*x*x)**(-8) assuming x is positive.\nAnswer: x**(8445\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**15*g)\/g*g)\/(g*g*g*g**(1\/4)))**(-36) assuming g is positive.\nAnswer: g**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5)**(-18)*(g*g**(-10)*g)**(11\/5) assuming g is positive.\nAnswer: g**(-628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 127666825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131723693*y**4 + 172666683.\nAnswer: 526894772*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/17))\/(i*i*i*i**(-2\/7)*i)*(i*i\/((i*i**0)\/i)*i*i)**(-18))**15 assuming i is positive.\nAnswer: i**(-133470\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/34 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 4374827143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4101 (base 10) in base 11?\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 962*i + 38904. Give w(-357).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37642468?\nAnswer: 2, 37, 167, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*y - 1385 = -5*y, 3*l - 4235 = y. What are the prime factors of l?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*i + 504 = 1336*i - 707*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Let x be (-1)\/(16\/(-65)) - b. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 299, 300, 301, 302?\n\"Answer: u + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 56900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -3, 3, -0.5, -151, 4\/21, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132504 and 49644.\nAnswer: 548169048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 - 7*t**2)*(-1 + 1 + 3*t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 12, k: 3, q: 2}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2627, 9078, 19839, 34910, 54291, 77982, 105983?\n\"Answer: 2155*h**2 - 14*h + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**2 - 3*c**2 + 5*c**2)*(c + 2 - 2 - 4*c + 0*c + 3*c + (4*c - c - 4*c)*(3 - 5 + 0) - 1 + 2*c + 1) to x*c**2 + k*c + y*c**3 + a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 87)*5\/10. Suppose p*x - 148 = -k + 48*x, -x = k - 142. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4 - 3048*i**3 + 24220*i**2 + 304224*i - 680960 = 0.\nAnswer: -8, 2, 14, 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/60 + c**4\/3 - c**3\/2 - c**2. Suppose 0 = 3*a - 14 - 1. Let m be q(a). What is the highest common factor of m and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/5, 4, -0.2, -4, -146?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11 + 2*a**3 - 2*a**3 + 11*a + a**3 - 9*a**2. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtttmtcececjmttmmm. What is prob of sequence emc?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.7 - -265.7. Let r = 239.9999718 - t. What is r rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 + 4576\/(-182))\/(12\/14)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 10*w**2 - 8*w + 27. Determine m(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(9)\/sqrt(3) + -5).\nAnswer: -5*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5767 (base 8) in base 10?\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7697, 7905, 8113, 8321, 8529, 8737?\n\"Answer: 208*s + 7489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6438 and 444?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 415829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 7*o. Let w be (8\/48 + (-8)\/(-6))\/(3\/20). Determine n(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49599, 86472, 123345?\n\"Answer: 36873*w + 12726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/180 - r**5\/18 + 11*r**4\/18 + 56*r**3\/9 - r**2 - 30. Find s such that u(s) = 0.\nAnswer: -7, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7716815337 to 5 dps.\nAnswer: 0.77168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -274 + 4?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(133)\/sqrt(7) + 1)**2.\nAnswer: 2*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*v - 55 = -7, n + 2*v + 38 = 0. List the prime factors of (-15)\/n + 875\/2.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34 + 2*f**3 - 26 - 10 - 4*f**2 - 14*f - 33*f wrt f.\nAnswer: 12*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.152 greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:07 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*j**2 + 18*j.\nAnswer: -3*j*(13*j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 12, 1, -10 in ascending order.\nAnswer: -111, -10, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 18712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -39*(-4)\/6 + -2. Let p = k + 5. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2356*m + 2353*m - 14125*m + 2347*m + 2350*m + 2355*m + 2355*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/9 and -99\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 12*r - 10. Let i be 43\/9 + 2 + 128\/(-72). Let s be z(i). Solve 2*x + s*b + 33 = 0, b - 11 = -0*x + 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and -237.9108158?\nAnswer: 250.9108158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84746685\/2 < 42373344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -16.1. Let o = z + -2. Sort o, -0.4, -1\/5 in decreasing order.\nAnswer: o, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, q: 9}. Give prob of sequence qqee.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 600 = -j. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r - 32. Let i be z(4). Suppose i*g = 4*p - 2976, -2 = -4*g + 2*g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 divided by 1?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(7) + 0.\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3030 + -2065. Let g = b - 634. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/36 and 14\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6924.\nAnswer: -20772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/2 - 32*c + 510 = 0 for c.\nAnswer: 30, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*c**5\/2 + 148*c**4 + 663*c**3\/2 + 35*c**2 = 0. What is c?\nAnswer: -2, -1\/9, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 526*u - 66964. Calculate f(106).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = -2*q, 2*r = -4*q + q - 6. Suppose -o + 387 - 101 = r. Let c = o + -178. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 - 103 + 150*y - 140*y.\nAnswer: 10*y + 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-62366)\/(-30) + 2 - 2\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qttt when four letters picked without replacement from qqptfqqqqqfpqptqptq.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 4 + 8 - 8*r. Suppose 3*x - 5 = -v - 2, 4*x - 12 = -4*v. Suppose 0 = v*s - 4*s - 6. Let f(q) = -8*q + 5. Give s*g(b) + 5*f(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*h - 2*h**3 - 10*h - 6 + 8*h**3 - 3*h**2 + 214*h as c*h + u*h**3 + g*h**2 + y and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15302249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 42\/13 - 40\/13*y - 2\/13*y**2 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 3*w**2 + 3*w. Let j = 38 - 22. Let p(b) = 9*b + 10*b**3 - 25*b + 6*b**2 + 10*b**2. What is j*z(r) + 3*p(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46490766.\nAnswer: 2, 3, 7, 1106923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*b**3*w**3 + 48*b**3*w - 3*w**2 wrt w?\nAnswer: 1626*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 65 = -0*l. Let a = -9 - l. Suppose -3*f = -0*f - 123. Solve -5*g = -4*r + f, -a*g = 4*r - 5*r + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567579 is divided by 1995?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1596 and 7296.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 - 7*f**5\/30 - 2*f**4\/3 + 11*f**3\/6 + 12*f**2. What is the hundreds digit of y(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -243000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.44029189 to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 1. Calculate g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6) - (-128)\/(-6). Let k be (-6)\/((-48)\/w)*36\/30. Put 5, k, 1, 3 in ascending order.\nAnswer: k, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*m**3*q**3 + 5*c**3*m*q**3 + c**2*m**3*q**2 - c**2*q**3 + 15*m*q**3 - 1 wrt c?\nAnswer: 12*m**3*q**3 + 30*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 22. Let r be -12*((-12)\/(-9) + q). Solve -5*j + j + r = 0, o + 1 = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2941*h + 45785. Give m(14).\nAnswer: 4611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -470 + 476. Which is the third biggest value? (a) 3\/2 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s*s\/s**10*s**2\/(s\/((s\/(s\/(((s\/s**(-4\/3))\/s)\/s*s)*s)*s)\/s)) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37152, -36932, -36712, -36492?\n\"Answer: 220*j - 37372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.489 + 1.511. What is the third smallest value in 4, 0.1, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10129\/20266 - -2\/10133. Suppose 0*p - 2*p**2 + 0 + z*p**3 = 0. Calculate p.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-29*a + 50 - 50)*(-107*a**2 + 30*a - 30*a).\nAnswer: 3103*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 - 7*t**3\/2 - 5*t**2 + 8*t.\nAnswer: t*(t - 8)*(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 142, 280, 414, 544?\n\"Answer: -2*o**2 + 144*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 20*l - 38 = 0. Suppose 4031 = l*q + 10*q. 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: What is -2ba15 (base 13) in base 14?\nAnswer: -22365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1553 = 11*m - 14*m + h, -4*m + 2060 = 4*h. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68452 divided by -157?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -62\/143611 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2464226 or -2464223?\nAnswer: -2464223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -427, -678, -939, -1210, -1491, -1782?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -28. Suppose 5*u = -3*o + 69, -6*u + 4*u = 5*o - 115. Is d != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7084549481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 16 = -140 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)*s\/s**1*(s\/(s**(-1)\/s))**(2\/21))**(9\/8) assuming s is positive.\nAnswer: s**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 5*h**2 + 5*h + 4. What is z(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-120))\/(9\/(-12)))\/(4\/(-30))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - m)*(-2 + 2*m**2 + 2) + 444*m**3 - 154646 + 154646 + (2 - 6 + 2)*(2*m**3 + 0 + 0) to n*m**2 + c + p*m + g*m**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194.766 - 196. Round x to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921776.3 millennia in months?\nAnswer: 11061315600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + 0 + sqrt(847))**2*-4*-5.\nAnswer: 152460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)*(-3 - 1). Let m(o) be the first derivative of -2\/3*o**6 - 1\/5*o**5 + 0*o**2 + 2 + o**g + 0*o + 1\/3*o**3. Determine z, given that m(z) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0261 (b) 8 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 51927 = -2*f - o, 3*f + o - 77883 = 0. Let y = 778729\/30 - f. Find the common denominator of 61\/9 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -522? (a) 4 (b) 0 (c) 379 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {x: 1, d: 4, y: 1, h: 1, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 - 2*b**2 - 4*b - 13. What is the tens digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:44 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2420 (base 8) to base 11\nAnswer: a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:42 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(2\/11)*l))**(-1\/7)*l**(1\/44)*l**(-4\/9))**(-33\/4) assuming l is positive.\nAnswer: l**(701\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-490)\/28))\/(-3*(-2)\/40)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/24 + b**4\/12 - 3*b**2. Find the second derivative of l(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -61, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34902*o**3*t + 369*o**3 + 6007*o**2 + 2*o*t + 9059 wrt o.\nAnswer: 209412*t + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*w + 7 - 15, 4*w - 6*n + 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*d - 84 = 0, k + 0*d - d + 18 = 0. Let b be (-4)\/k - (-11)\/4. Put b, 0, -4 in ascending order.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 8. List the prime factors of b(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, 5\/29, 7, 4, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10909729 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 3\/7 (c) -0.03 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 1020*a + 3063. Calculate h(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - d + 417 = 2*d, -1 = d. Let w be 812\/70 - (-8)\/20. Calculate the highest common factor of w and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150719128 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/14421 and -29\/71231.\nAnswer: 2350623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10898?\nAnswer: 2, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8996980 less than 0.2?\nAnswer: -8996979.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19269 = 9*n - 7010 - 92098. List the prime factors of n.\nAnswer: 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-30))\/(1\/(-15)). Suppose -3*a - 18 = -3*r, 0 = 2*r + 4*a - g - 18. Let w be (-12)\/18*r*1. What is the second biggest value in w, -0.02, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104140017.7754 - 104128448. Let g = -11571 + a. Let u = 1.23 + g. What is u rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 17 - 79)*(d**4 - 4*d**4 + 2*d**4).\nAnswer: 75*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -22049*a**3 + 4*a**2 + 2*a. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d + 2. Let f = 10 - 14. Let g = 1 + f. Is z(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b. Let x(g) be the second derivative of -2*g**4\/3 + 836*g. Calculate c(x(l)).\nAnswer: -88*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222544361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 199 - 171 = 0. Solve -3*x - j = -22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -2*t**5\/5 - 11*t**4\/12 + 12*t. What is the third derivative of d(n) wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*i - 5*i. Let s(g) = 2*g + 2 - g**i - 2*g**3 + 2*g + 2*g**3 - 2*g**2. Suppose -5*m - 25 = -2*a, 4*m + 0*a + 5*a = 13. Determine s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1 - -4) + 2. Suppose -2*o - 3*o + 25 = a. Suppose 3*p + 4*t - 5*t = 32, -2*p + o*t + 30 = 0. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191*j**2 - 126*j**2 - 26*j**2)*(22 - 22 - 6*j)*(j + j - 4*j) to the form q*j + l + x*j**2 + a*j**4 + i*j**3 and give a.\nAnswer: -4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + i + 0*i + 0*i + i - 30 + 30 - 7*i + (-3 + 0 + 2)*(-i + i - i) as h + s*i and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*(c\/c**(-1))\/c)))\/(c*c**(4\/5)\/c*c*c*c))**(27\/7) assuming c is positive.\nAnswer: c**(-243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Let r be (11 - z)*(-1)\/(-2). Differentiate 0 + 3*d**r - 1 + d**4 wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/8 - ((-2312)\/(-32))\/(-17). Solve 0 = 4*k + 27 - 7, 5*z - s*k - 45 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -79 + 29. Let x = 25 - t. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*z + 137 = 0, -5*y - 2*z - 190 - 15 = 0. Let b = -34 - y. Suppose 4*c - 3 = 13, -c = -b*o + 21. Sort o, 0, 4.\nAnswer: 0, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -10, 83, 302, 689, 1286?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 53.1. Let o = -3 + s. Let g be -1*(2 + 3)\/1. Which is the nearest to -3? (a) o (b) g (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, d: 2, a: 5}. Give prob of picking 1 d and 1 p.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 31.2. Let m = s + 3.2. What is the third smallest value in 3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -429*j**2 + 8*j - 1517. Let m(w) = 857*w**2 - 19*w + 3036. Let g(y) = -2*m(y) - 5*q(y). What is the first derivative of g(t) wrt t?\nAnswer: 862*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.03468?\nAnswer: -1.03468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -7.9. Let w = 10 + q. Let t = 177.2 + -177. Put -5, t, w in decreasing order.\nAnswer: w, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 - f**2 + f - 1. Let u = 16 - 15. Let m be t(u). Let r(j) = -j**2 + 2*j**2 - 1 + 5 - m*j - 9. Determine r(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -12*u - 18*w + 66, -3*u - w = -21 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86769 - 81927 = -22*v. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r**2 - 1. Let q(a) = a**4 + 2*a**3 - a - 1. Suppose 0 = 3*o + 3 - 6. Let d(h) = o*q(h) - b(h). Determine f, given that d(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -6, -4, 1\/27, -0.1?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 43951460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 12*x + 4*a + 21629, -3*x = -2*a - 21625. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-10)*(-24)\/280\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-1\/2))\/v)\/v)**(-49)*v**(2\/13)\/v*((v*v\/(v**(1\/9)\/v))\/v)\/v*v**(2\/9)*v*v**(1\/14)*v*v*v**(1\/5)\/v*v*v**(-1\/4) assuming v is positive.\nAnswer: v**(-347479\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 7*c + 5. Determine o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**2 - 860*p - 824. What is z(-65)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 1\/91, 1\/2, -0.18, 2\/27?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 86 = -2*h, 0 = -3*p - 9. Suppose -h*z + 424 = 24. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0*i**3 - 5\/12*i**4 + 13*i + 0 + 0*i**2. Let s(c) = 11*c**2. Calculate l(s(n)).\nAnswer: -605*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5761\/38 - 40251\/266. Solve -22\/7*g**4 + 10\/7*g**5 + 0*g - i*g**2 + 0 + 2*g**3 = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Let p(r) = -2*r + 4 + w*r - 2. Let v be (119 + -124)\/(1\/(-4)*10). Give p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78327531 and 5.\nAnswer: 391637655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*v**2 + 8*v - 2*v**2 + 19*v**2 wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(300))*2)**2.\nAnswer: 1440*sqrt(3) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 - -174. Solve -3 - q = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2677\/9381 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 465 + -618. Let d = 176 + z. Solve d = -9*r - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32750121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h - 3. Let p be y(4). Let q(x) = -2*x**2 + 6*x + 1. Let o be q(p). Let u = -17 - o. Solve 0 = 4*r - 4*w, -2*r - 2*w - u + 6 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (6 - 2)) + 0 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h - 35. Give s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 - -183. Which is the second biggest value? (a) 2\/7 (b) -5 (c) s (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(272) + -2)**2 + 4.\nAnswer: -48*sqrt(17) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2766330.4 or 1?\nAnswer: -2766330.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00749679 rounded to 5 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:41 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 35*f - 3. Let o be q(9). Suppose -d = -2*d - o. Is (-20)\/(-6)*d\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) 0.1 (c) 2 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/10 - c**4\/3 - c**3\/3 - 6*c. Factor l(x).\nAnswer: -2*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396455.6 millennia in months?\nAnswer: 4757467200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1078 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-7)\/504). Let w = c + 70. Suppose 0 = q - z - 26, 8 = -4*q - 2*z + 88. What is the highest common factor of w and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:47 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g + 2. Let k = -6 + 11. Suppose k*o = 4*n - 49, -n = -0*n - 5*o - 16. Calculate the remainder when n is divided by c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5779.668 millennia to years.\nAnswer: 5779668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + -1) - (4 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660863?\nAnswer: 7, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/19, 393.5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 2. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.9. Let f(w) = -w**3 - 2*w**2 + 3*w + 3. Let x = -19 - -16. Let t be f(x). Which is the closest to h? (a) t (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f + 45*f - 6*f)*(-1 - 2 + 4) - 2*f - 2*f + 3*f + (-2 + 1 - 1)*(-2*f + 3*f + 0*f) + (-2 - 3 + 3)*(f + 2 - 2).\nAnswer: 57*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6578, -5999, -5420, -4841, -4262?\nAnswer: -3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1 - 1 + 4 - 7 - z - 3*z**2 + 4. Determine s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -552, -517, -482?\n\"Answer: 35*s - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 53*p**2 + 29*p + 58*p**2 - 113*p**2 - 22 - 77*p. Let l be h(-21). Calculate the highest common divisor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9762*3*58\/348?\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11. Suppose -4*b + q + 12 + 46 = 0, -q - 2 = v. What is the greatest common divisor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 d when three letters picked without replacement from {z: 1, s: 1, d: 3, i: 5, f: 4, l: 4}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*p**3 + 8*b**3*p**2 + 22*b**3*p*x - b**3 - 31*b**2*p**3 + 273752*p**3*x - 337*p**2 wrt x?\nAnswer: 22*b**3*p + 273752*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*n**2 - 24487 + 24487.\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -70. Let u(r) = a*r - 7 + r + 0*r. Let x(p) = 6*p - 4. Let c(h) = 17*h - 12. Let v(f) = -3*c(f) + 8*x(f). Calculate 4*u(b) + 7*v(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from {k: 5, e: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1146*b + 101. Is g(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = s, -x + s - 1 = 1. Let w be -3 + x\/4*-4. Solve -g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -282.7. Let j = 14.4 - d. Round j to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28854)\/2408 + 12)\/(-2*18\/48)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384933, 1540010, 3465143, 6160338, 9625601, 13860938, 18866355?\nAnswer: 24641858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 26062416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 1:26 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:40 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from egezgeeeo?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 5*a**3 + a**3)*(70 - 33 + 11*a**2 - 43).\nAnswer: -22*a**5 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, o: 2, z: 1, f: 1, g: 2}. Give prob of sequence fz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-76.0784.\nAnswer: 10.650976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*a = -280*a - 106. Let t = 17 + 20. Let r = a + t. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21944\/42235?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*f = -15558, 69*f - 5 = 70*f. List the prime factors of n.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -21. Suppose -4*i = v*i. Suppose -15 = -5*z + 3*l - 2, i = 5*z - 2*l - 12. Solve 1 = -m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*u - 6482, -5*u + 2599 = 2*l - 0*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-25)\/(2925\/(-104)))\/(4\/18). Solve 5*y = -5*z - 15, -z - 12 = h*y - 0*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*u**2\/2 - 403*u + 3\/2 = 0. What is u?\nAnswer: -3, 1\/269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1212, 1238, 1298, 1404, 1568, 1802, 2118?\n\"Answer: 2*a**3 + 5*a**2 - 3*a + 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-108)\/(-16)))\/(8\/(-192)*-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 353*g + 20. Let l(p) = 352*p + 12. Let u(v) = 3*i(v) - 4*l(v). What is the units digit of u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -61, -147, -291, -493, -753, -1071, -1447?\n\"Answer: -29*s**2 + s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26098 is divided by 4348?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*h - 18, 0 + 12 = -3*k - 5*h. Let n be (-4 - -13)*3\/30. Let x = 3\/20 - n. Which is the nearest to -1? (a) k (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -243, -243, -249, -261, -279, -303?\n\"Answer: -3*m**2 + 9*m - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80cc (base 14) in base 13?\nAnswer: a0c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8*j - j + 55 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 = -2*g, g - 4*d = 3*g + 12. Let t be (8\/(-3))\/(g\/6). Find the second derivative of 2*i**2 - 2*i**2 - 2*i**2 - 3*i + t*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/130 - (-2)\/13. Suppose 9*q - 8*q - 57 = a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 - 5*h + 1. Let z be r(-2). Let k be ((-18)\/(-75))\/(3*(-4)\/(-40)). Factor 12\/5*x - 12\/5*x**z + k*x**4 + 4\/5*x**2 - 8\/5.\nAnswer: 4*(x - 2)*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 320.9 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000986875 rounded to seven decimal places?\nAnswer: -0.0000987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 297.\nAnswer: 8\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-35))\/(9\/135).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.9 + -7.4. Let y = 1 + 36. Let c = y - 33. What is the third biggest value in c, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16 = 2*d - 32, -4*z = 8. Let q = d + -25. Solve -2*o + 7*o = -4*i + 15, q*i = 5*o + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d + 43. Let w be p(5). Let m be (-1513)\/4 - (33\/12 - w). What is m rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(4) + sqrt(64)*1 + sqrt(64))\/(sqrt(2) - (sqrt(18)*-3 - sqrt(2))) + 4 + 3)*2)**2.\nAnswer: 12600*sqrt(2)\/11 + 609100\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -170, -0.4, 0, -49, -13.5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 692382 and 21.\nAnswer: 4846674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.1.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1398 and 6058.\nAnswer: 18174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 703 and 6063227?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l + 27*l - 25 + 7*l - 85 + 93.\nAnswer: -2*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 63*l**2 + 316*l - 144. Calculate w(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*q + 1293, -7*q + 2123 = 5*a - 3*q. Let x = a + -2561\/6. Factor 1\/6 - 1\/6*m - x*m**2 + 1\/6*m**3.\nAnswer: (m - 1)**2*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 2.\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, c: 1, y: 4}. What is prob of picking 1 y and 1 n?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqpw when four letters picked without replacement from nppwniqyy.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/12 + n**3\/6 + 11*n**2. Let l be f(-1). Is 405 + l*(-2)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 2508*g**2 - 786258*g.\nAnswer: -2*g*(g - 627)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 56*s - 392. Give l(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bceewwebwe. What is prob of picking 1 e, 2 b, and 1 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 21 + 6*a**2 + 12 - 4*a**2 + a**2 - 2*a**2 + (-4 + 4 - 2*a)*(0*a + 2*a - a) + 0*a + 0*a - 2*a**2 to the form l + m*a + c*a**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -25, -38, -55, -76, -101?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(130))\/(-4*2*sqrt(10)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 z when three letters picked without replacement from qqzkdhee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 660*i - 19. Let a be x(5). Suppose 2*h - a = -15*h. Calculate the remainder when h is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1 - 1 + 4 + h. Suppose w - 2 = -0*w. Let m(x) = -7. Let v(r) = -r + 28. Let s(d) = w*v(d) + 9*m(d). Determine 11*g(p) + 6*s(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 5*y**2 + 3*y**2)*(-2 + 3 + 3)*(1 + 5 - 2).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 192. Let u be (-4 + 9)\/(15\/144). Let m(p) = p**2 + c*p - u*p. Give m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 85*g**2 - 322*g + 4. Let y be r(-46). Solve -i - 2*n + 1 = 2*n, -y*i + 18 = 2*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/10*4 + (426 - 0) is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6 + 201737\/201 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:55 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 357138458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/8 - 8*w**3 + 12*w**2. Calculate the smallest common multiple of 3 and a(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1835 - 62.1835. What is the smallest value in 2\/13, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 12*z**2 + 7. Let v be g(-12). Suppose -v*s + 3*s + 2*l - 146 = 0, s + l = -44. Let q = 85 + s. Is q a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b - 94 + 148. Suppose -b*g = -m + 222, 6*m = 8*m. Is g greater than or equal to -218\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3452*h**5 + 61498*h**2 - 60616*h**2 + h - 3240*h**5 wrt h?\nAnswer: -401520*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947456 is divided by 4666?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.86038+-679909983\nAnswer: -679909983.86038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 82415*r + 494487. Calculate n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572741749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, -46, -68, -90, -112?\n\"Answer: -22*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 - 3*b + 3. Let s be m(1). Suppose 0 = -s*l - 176 + 757. Suppose f = l - 26. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34295*p + 14496*p + 2793*p - 42928*p.\nAnswer: -59934*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 720476197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-630)\/(-4095) - (-2 - 228\/39). What is the fourth smallest value in 44, -0.2, -4, v?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29513883 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2690787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 - o + 0*o**2 - 3*o - o**3 + 5*o**2 + 5. Let f be a(4). Suppose 4*b = f*g + 52, 2*b + 10 = g + 33. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 3, 0.3 in descending order.\nAnswer: 14, 3, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + 15 - -23) + -4 + -17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5186*i**5 + 5351*i - 2680*i**5 + 3220*i**5 wrt i?\nAnswer: 114520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + h**4 - h**5 + (-3*h**5 - 3*h**5 + 4*h**5)*(-3 + 6 + 5).\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 19 - (-1 + -56) - (15 + 3 - 7).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54152 and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009451267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1470 and 15855.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866648?\nAnswer: 2, 127, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*f - 69*f - 3*w - 30, -5*f - w = -38. Let h be (0 + -1)\/(-1) - -187. Suppose -3*d + h = f. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 0*u + 0*u)*(-2*u**2 + 4 - 1 + 0)*(1 - 6 + 13)*(0*u + 4*u - 2*u) as l + n*u**4 + c*u + k*u**2 + f*u**3 and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144302\/315 + -3212\/7. Calculate the common denominator of f and -34\/575.\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -1.2.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.294 + 0.603. Let k = 0.26 - d. What is k rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 - 8*x + 22. Let b be t(4). Let v(k) = -b*k - 15*k - 12*k + 41*k. Give v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Is v <= 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/((-304)\/(-16))*(-2)\/35?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-6 + 5) - (-4)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/(6\/(-9)). Find the third derivative of -500 + 500 - 5*y**4 - 8*y**k wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 14 - (-8 + 5 - -6)) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.27399+0.448\nAnswer: 0.72199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 9 - 9 - (-1 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19.536119*-0.13\nAnswer: 2.53969547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.76, -9\/175?\nAnswer: -9\/175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0198 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:48 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1176)\/(-270))\/(-7) - (-16)\/72?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1539)*-1)**2 - sqrt(1539) - ((-2*sqrt(1539)*2 - sqrt(1539)) + sqrt(1539))) + -4.\nAnswer: 27*sqrt(19) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071842037 rounded to 6 decimal places?\nAnswer: -0.007184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 334098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 divided by 220552?\nAnswer: -525\/110276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -482*a - 10572. What is b(-22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) -2531\/16 (c) -1\/6 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-35) + ((-6)\/14)\/((-69)\/184)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + z - 2*z = 10*u - 2, -u - 10*z - 48 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26029424*h**2*o*z**2 + 7*h**2*z - 893*h*z + 236*z**2 with respect to o.\nAnswer: 26029424*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a1a1 (base 16) to base 14.\nAnswer: -2052db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-42)*18\/(-45)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from bibbbliiblilblbbki?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517873 is divided by 1233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229.1696 - -23.7286. Let w = 253 - a. Round w to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 6) to base 16\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let r be m(-6). Let w(k) = k + 0*k + k**2 - 6*k - 5. Let q be w(r). Solve 3*y - 3*d = -9, -4*y - q = -2*d + d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*m = 12, -2*m + 11 = 4*y - 7*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, 41, 84, 153, 254, 393?\n\"Answer: h**3 + 4*h**2 + 4*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166101863, -166101864, -166101865?\nAnswer: -166101866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 2065.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17862397 or -71449583\/4?\nAnswer: -17862397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 - (-10 + 13 - 0) and 133?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19681*j + 19681*j - 77*j**2)*(4*j**2 - 3*j**2 - 3*j**2)*(1 - 3*j - 1).\nAnswer: -462*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:54 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566854395 divided by -2.\nAnswer: -566854395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - ((-9 - -10) + -12)) + 9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {u: 2, a: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80.15 - 84. Round f to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1220 - -2124232?\nAnswer: 2123012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38280 divided by -4\nAnswer: 9570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/1 + 3871744\/297216 and -83\/189?\nAnswer: 8127","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4961 or 1?\nAnswer: 4\/4961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2521 + 34?\nAnswer: -2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 5*t + 5. Let k(w) = 2*w + 21. Let c be k(-13). Let i(g) = -1 + 0*g**2 - 3*g + 2*g + 6*g**2 - 5*g**2 + 0*g**2. Determine c*i(p) - v(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-41)\/6)\/(258\/387).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39577 and 25.\nAnswer: 39602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -259442580 divided by -618\nAnswer: 419810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 690689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5640628, -5640679, -5640764, -5640883, -5641036, -5641223, -5641444?\nAnswer: -5641699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -172 + 91 + 95 + t in the form b + c*t and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1620 - 10352.\nAnswer: -8732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -666*a*o**3 + 3*a*o**2 - 2*a - o**3 - 24*o**2 + 5*o wrt o?\nAnswer: -3996*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, -5\/4, -2 in increasing order.\nAnswer: -2, -5\/4, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-13)*(y\/(y*y**(-6\/13)*y))\/y assuming y is positive.\nAnswer: y**(-189\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2544 = 8856. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus -55280?\nAnswer: -55265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18920 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w - w**3 - 14 + 8*w**2 - 12*w - 11*w - 3*w - 25. Determine z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -1184, -1185, -1164, -1115, -1032, -909, -740?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1345439*s*t**2 - 1219*s + 6*t + 2 wrt t.\nAnswer: 2690878*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 + 13*z**2. Let n(o) be the second derivative of 7\/3*o**4 + 0*o**3 + 0 + 0*o**2 - 5*o. Determine y(n(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*u**4 + 14*u**2 - 60*u**4 - 261*u**3 + 261*u**3 wrt u.\nAnswer: -3864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 9601*p + 9601*p - 9761 - p**2 to the form q*p**2 + k + t*p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104362 is divided by 157763?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-6)\/(-21) + (-85)\/315). Suppose -222 = -3*l + q. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 equal to 267\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-2*n - n + 2*n)*(-2*n**3 + 0*n**2 + 0*n**2).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477580899 to the nearest integer?\nAnswer: 21854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 299 or 12264\/41?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/143 and -21\/65.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.125 to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ldl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*70\/24 + 12. Which is the closest to 46\/9? (a) -5 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160957 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 66.\nAnswer: -65.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501600 divided by -660.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 176286500 a multiple of 2932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -9, -17\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 0, 19*t - 4*o = 21*t - 1606750. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 999\/63)\/(((-1140)\/(-70))\/(-19))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47633 and 3040.\nAnswer: 7621280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633 by -208.\nAnswer: -633\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*p - 715 = -710, -5*p + 20 = 5*z. Solve -30 = -3*q + 5*s, 5*q + 2*s = z*q + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2736) + (-5 + sqrt(2736)*-2)**2 + sqrt(2736) + (sqrt(2736) + 0 + 1 + sqrt(2736) - sqrt(2736))**2).\nAnswer: 576*sqrt(19) + 27412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39512657489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18\/7, -0.18, -3\/4, 0.049 in descending order.\nAnswer: 18\/7, 0.049, -0.18, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhfhhhrp. What is prob of sequence ff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 4*sqrt(60)\/sqrt(3))\/sqrt(4) - (-3 + (sqrt(5) - (sqrt(5) + 0)) + -2*sqrt(80) + sqrt(5)))**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 20. Let l be d(19). Solve t - 4*b - l = 7, t - 2*b = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 2491?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.8033813 rounded to 1 dp?\nAnswer: 629.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14943021.\nAnswer: 3, 821, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1308 + 1307.9994457. Round z to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.002 + -4.002. Is -2\/5 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 490*a - 4074. Determine b(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = y + 20, 2*y - 3*b - 2*b - 35 = 0. Suppose 0 = -g - y, -4*l + 3*g = -3*l - 19. Suppose l*s = 4*z + 72, 0*s - 108 = -4*s - 5*z. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2\/3*j**3 - j**4 - 2*j + 50 + j**2. Find the second derivative of w(t) wrt t.\nAnswer: -24*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2323, -4, -5, -3, 1 in ascending order.\nAnswer: -5, -4, -3, 1, 2323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 4465304?\nAnswer: 13395912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163.786 centuries in decades?\nAnswer: 31637.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k - 108*k = -226*k + 56. Suppose -3*y + 2*y = -5*l + 25, 3*y = -4*l + 1. Solve l*g = -0*g + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 73. Which is the nearest to -0.1? (a) 5 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/9*((-9)\/4 + 0). Solve 10*m + 4 = w*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d447 (base 15) in base 7?\nAnswer: 244510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 12*p**2 + 18*p - 4. Determine i(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*z = -51, 0 = -m + 4*z + 9 + 33. What is the remainder when m is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:40 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 965 + 1928 - 964 - 10*w**3 to j*w**2 + m*w + s + t*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817287.03 microseconds to weeks.\nAnswer: 0.000001351334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykd when three letters picked without replacement from {y: 1, g: 4, d: 4, k: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**2 + 27*q.\nAnswer: 3*q*(4*q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + 0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490387539.\nAnswer: 3, 67, 2439739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 4253, 3 in descending order.\nAnswer: 4253, 40, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + 4\/14. Suppose n*v + 106 = v. Suppose -5*p + v = -3*y - y, 4*y + 16 = 0. Calculate the greatest common divisor of p and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 10, w: 6}. Give prob of picking 1 k and 1 w.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 1:34 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166, -191, -226, -265, -302, -331, -346?\n\"Answer: h**3 - 11*h**2 + h - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 4. Let k be h(5). List the prime factors of 3 + (-1)\/(k\/7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/91*1\/3 + 48\/(-84)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22466 + 27169. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/2 + 4*s**3 + 9*s**2 - 27\/2 = 0. Calculate s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(8))\/(sqrt(33)\/(sqrt(11) + sqrt(11)*1 + sqrt(11))) + (sqrt(156)\/(sqrt(3)*2))\/(-6*sqrt(8)\/sqrt(2) - sqrt(4)))**2.\nAnswer: 1300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 - 66194150*s - 219083274711125 = 0.\nAnswer: -6619415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 158*j**2 - 163*j**2 + 70*j + 1 - 66 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*s - 4*o, -3*o - 29 = 23*s - 25*s. Let h be (12\/(-44))\/(9\/6). Which is the third biggest value? (a) h (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3)*5\/(-2). Calculate the greatest common factor of 45 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 140. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5204632 divided by -68482\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -13*u - 576. Let l = -49 - u. Sort -0.01, -4\/5, 0, l in ascending order.\nAnswer: l, -4\/5, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g**2 - 9. Let n(o) = -o**2. Determine -l(q) + 2*n(q).\nAnswer: 14*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1348*j + 3*i = -1352*j + 34, -3*j + 4*i - 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/2 - z**2 - z. Let q be ((2\/3)\/((-861)\/574))\/((-4)\/18). Let m(j) = 7*j + 5. Give q*m(u) + 5*k(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310915 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 4:10 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/27067842 or 1?\nAnswer: 1\/27067842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8) - (-2)\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 1826863.\nAnswer: 36537260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*x**3 - 492*x**2.\nAnswer: 4*x**2*(10*x - 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 3. Let w(y) = y**3 - 11*y**2 + 11*y - 14. Let v be w(10). Let t(q) = -2*q + 3. Give v*r(b) + 5*t(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -889 (b) -2 (c) 0 (d) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2 + 356730*d - 34631037 = 0?\nAnswer: -119007, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = -47. Let a = 9 + s. Let l(t) = t**2 + t**a - t**2. Let m(k) = 2*k. Give m(l(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/5 - 11024*z**4\/5 - 63796*z**3 - 1373134*z**2\/5 + 13643061*z\/5 - 3813066 = 0.\nAnswer: -10995, -17, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -34, -52, -74, -100, -130, -164?\n\"Answer: -2*a**2 - 8*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1679, 1697, 1715, 1733, 1751?\n\"Answer: 18*b + 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -38, -71, -122, -197, -302?\n\"Answer: -q**3 - 14*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 1328. Suppose 4*h = 2*p + 2*p - w, h - 679 = -4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*b + 4*b - 297, -25 = -5*a. Suppose 323*q - b*q = 0. Solve -5*h + 4*j + 17 = 0, -2*j + q*j = -2*h + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -544, -4984, -17022, -40456, -79084, -136704, -217114?\n\"Answer: -633*o**3 - o**2 - 6*o + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 56 = -0*f - f, 3*f + 4*t - 154 = 0. Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z + 20. Let w be d(-9). Solve -10*i**w - 1 + 9*i**2 + 5 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaia when four letters picked without replacement from aaaaaaiaaaiaa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 8. Let m = -14 - -14. Suppose q - 2*q - 5*t + 3 = m, 5*q + 41 = 3*t. Let y be a(q). What is the greatest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-2)\/28). Let a = -4 - v. Suppose 5*z - 192 = a*w, -w - w - 76 = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-190)\/3)\/(-10) - (-4)\/(-3). Solve v*i + 27 = 14*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-52)\/(-65))\/((4\/610)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 177?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 10. Let x(q) = -q + 10. Suppose -5*k = 5*s + 10, 15*k - s - 14 = 19*k. Let v be 10\/k*(10\/(-5) - 0). Give v*m(i) + 6*x(i).\nAnswer: -i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -995, -3738, -9077, -17846?\nAnswer: -30879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 2*v + 3. Calculate l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqhqqhhqq. What is prob of picking 1 q and 3 h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -12*q**2. Let l(m) be the second derivative of 0 + 0*m**3 - 104*m - 23\/12*m**4 + 0*m**2. What is n(l(p))?\nAnswer: -6348*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/227297 and 31\/2.\nAnswer: 454594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**5\/25 + 14*m**4\/5 - 202*m**3\/15 + 122*m**2\/5 - 96*m\/5 - 5769. Find v such that t(v) = 0.\nAnswer: 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44839\/3 - -9505955\/636. Let d = -6\/53 - t. Put -0.07, -2\/3, d, -4 in increasing order.\nAnswer: -4, -2\/3, d, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103921 (base 16) to base 7.\nAnswer: 12015466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 14*l**4 - 24*l**4 + 47*l**4 - 13*l**4 + 1 - l + l**2 as f*l + a + c*l**2 + t*l**4 + b*l**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -12, -2*v - 6*p = -5*p - 12. Calculate the lowest common multiple of v and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8700 is divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 23960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 7\/2. Let p(w) = -d*w + w - 3*w. Let c(n) be the first derivative of -3*n**2\/2 + 335. Calculate p(c(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 2*a**2 + 1. Calculate p(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17143 - -17145.40136. Let g = f + -2.4. Round g to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**4 + 11*f**3 - 11*f**2 + 9*f - 4. Let p(g) = 7*g**4 + 23*g**3 - 21*g**2 + 18*g - 9. Let k(a) = 9*l(a) - 4*p(a). Factor k(r).\nAnswer: -r*(r - 3)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let d(z) = 224353581*z**2 + 2. Determine d(a(b)).\nAnswer: 224353581*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -7)\/((-1)\/(-4)). Suppose 3*d - 149 = -2*k + 2*d, -5*k + 392 = -i*d. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x + 2*o = 0, -x + 10 = -o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8905093 take away 2228?\nAnswer: -2230.8905093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4977319957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**7\/630 + 13*u**6\/360 - 7*u**5\/90 + 2*u**2 + 418*u. Suppose t(d) = 0. What is d?\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(561)\/((sqrt(44) + -1*sqrt(44) + sqrt(44))\/sqrt(4)))\/((1*(sqrt(480) - (sqrt(480) + -1*sqrt(480) + sqrt(480) + sqrt(480))))\/sqrt(10)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}