diff --git "a/data/dm_maths/full_data/2412_11255.jsonl" "b/data/dm_maths/full_data/2412_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2412_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the second biggest value in -15785, -0.1815, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 51 + 27*v)*((-2 + 3 + 1)*(-1 + 1 + 4*v) + 4*v + 0*v - 3*v + (-1 + 2 + 1)*(4 + 2*v - 4) - 2*v + 0*v + 4*v).\nAnswer: 405*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3\/5 (c) 12\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncp when three letters picked without replacement from pnyqc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16089 is divided by 15398.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593586 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 13 + 25*w - 8*w.\nAnswer: w + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:25 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*z**2 - 2697*z - 3198.\nAnswer: -3*(z + 26)*(33*z + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + j**3 + 2*j**4 + (28*j**2 - 28*j**2 - 15*j**3)*(-2*j + 3*j + 2*j) to the form i*j**3 + h + q*j + a*j**2 + f*j**4 and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3508967 and -15.\nAnswer: 3508952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 17. Let y = n - 24. What is the nearest to -0.1 in 0.5, y, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*f + 494, -4*c - 5*f + 4*f = 978. Let q = c - -324. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -316\nAnswer: 5\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 - 133*l**2\/6 - 274*l\/3.\nAnswer: l*(l - 137)*(l + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8350 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -871.9837 - -872. Does 0.4 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5544*d + 33229. Let r be p(6). Suppose -173 = 5*n - a, 4*n - a + 0*a + 138 = 0. Is n equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12973 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 60 = 3*j, -16*n + 15*n - 4 = -5*j. Let i be (-8)\/12 + 262\/6. Suppose i = b + n. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 3*k**2 + 2. Let v = -9 - -15. Suppose -3*y = 3*g + 9, -2*y = 4*g + v - 0. What is i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -23.5. What is the nearest to 0.1 in -0.4, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 352890 rounded to the nearest one thousand?\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) -3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -191\/18, 2, -2\/43, -2\/15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 4. Let g be c(-4). Let r be (g\/(-8) + 0)\/1*-6. Solve r*a + 4*n - 6 = 0, -n + 4 = 2*a + n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + z - 1. Let s be -3 + 4 + 3\/(-4 - -7). Let l be (9\/(135\/(-12)))\/(s\/10). Let j(c) = c**2 + c - 1. Determine l*j(m) + 4*u(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 690 = -186. Calculate the remainder when d is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2307661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -4. Let s = -43 + 40. Let u be -1*s\/a*-98. What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19.02, -3\/4, 28\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32081 divided by 11.\nAnswer: -32081\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2 - 38. Calculate the greatest common factor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 - -0.1. Let z = -164374\/11 + 14942. What is the second biggest value in k, z, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let h(v) = 2*v. Suppose 11 = 4*z - 3*m, 7*m - 4*m + 17 = -2*z. Give z*h(d) + f(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 65.66921 days?\nAnswer: 5673819.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Suppose 0 = -h - 3*h - r + 2, h - 3*r + 6 = v. Solve h*p - 4 = 3*n - 5*p, -8 = 2*n + 2*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -1?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + k + 2615 - 2538 = 0, w + k = -17 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3815609 - 1.097.\nAnswer: 3815607.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p - 0*p - 5*x, -2*p + x + 9 = 0. Let w be (3808\/196)\/((-4)\/(-14)). Calculate the greatest common divisor of p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -0.5 (c) 4 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 67*k**2. Let t(z) = -9*z - 97. Let b be t(-11). Let j(d) = 17*d**2 + 16*d**2 + 13*d**b - 48*d**2. Calculate j(q(s)).\nAnswer: -8978*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1182651777\/7 or -168950255?\nAnswer: -1182651777\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 11, f: 5}. Give prob of picking 2 f, 1 e, and 1 x.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmummum. Give prob of sequence mm.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 48 (b) -10 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(7\/14 + 2\/(-8)). Let t = -2 + 5. Let y(k) = 3*k**3 - 4*k**2 - 4*k**3 + 2*k**t - 3. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 6, k: 8}. Give prob of picking 1 m and 3 d.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*o = 8872 + 4736 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -1101?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*u + 53, 125 = 3*d - 24*u + 29*u. Calculate the remainder when 164 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 13*y - 2*y**3 - 56*y + 5*y**2 as v + h*y**2 + b*y**3 + w*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -3. Let q = z - -2. Which is greater: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7677 + 7686. Calculate the lowest common multiple of b and 3909.\nAnswer: 11727","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y**2 - 2*y - 5. Let k(p) = 22*p**2 + 4*p + 9. Calculate 4*k(b) + 7*r(b).\nAnswer: 11*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -12\/492161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -34. Let v = 46.9 - h. Which is smaller: -0.04 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5961\/14, -2.9, -2 in descending order.\nAnswer: 5961\/14, -2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46088*(13 + -18 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10 - (-31)\/40)\/((-13)\/((-260)\/6)). Let u be (2\/16)\/(1\/50). Factor g*m**3 + 0 + 5*m - u*m**2.\nAnswer: 5*m*(m - 4)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73524615 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -6. Let c = 24\/29 + -226\/203. What is the closest to m in c, -3, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25709, -25632, -25553, -25472?\nAnswer: -25389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 838*g**2 + 9220*g - 37. Determine n(-11).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 9*z**2 + 15*z + 2. Let m be p(-7). Does 9 divide (62 - m) + (4 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4885.\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -403 - -405. Solve -14*h - a = -16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36833202 divided by 1.\nAnswer: -36833202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i + 8008 = 156*i + 65*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/20*64\/20 - (-2387)\/(-186).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*t - 1192*t + 226*t.\nAnswer: -1095*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111938 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(20\/(-374)) - 57\/95. Sort -2, 5, q in decreasing order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3 and 37\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 2, -887, 1\/4 in descending order.\nAnswer: 2, 1\/4, -43, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = -t. Let i = 1906 - 1904. Solve -5*u = t*g + 8, -i*u + g + 4 = -0*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2*g**3 + 2*g**3)*(-1080 + 1080 - 186*g) + 4*g**2 - 4*g**2 + 3*g**4.\nAnswer: -369*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95222019 divided by -2?\nAnswer: -95222019\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -3\/5, -25\/9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4060000 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - (1 - -5)) + 6 + 11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710387.1ug to grams.\nAnswer: 0.7103871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 9, 7*v + 4*n = 4*v + 18. Let -2*p**v - 72*p - 882 + 47*p - 59*p = 0. Calculate p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 9*y**2 - 12. Determine v(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2 - 66333698*q + 66333700 = 0.\nAnswer: -33166850, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/4 - 462214*u + 213641781796 = 0.\nAnswer: 924428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5 - 6 + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 - (-4 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080571656 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 278 + -53. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202030520*g**3 - 1788617*g**2 - 39*g wrt g.\nAnswer: 1212183120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 750, -1, 2, 3.\nAnswer: -1, 2, 3, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188658567?\nAnswer: 3, 199, 105337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d)\/(d\/(d*d**(-11)*d))*(d**0*d)**11 assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 22938?\nAnswer: -22934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddefeedwede. Give prob of sequence dwk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose 0 = 4*k - 6*k - 2. Sort b, 0, k.\nAnswer: k, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -b - 3*b - 28, -3*b - 2*v + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 525 - 9 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 95\/6 (b) 0.38 (c) 54 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145236 and 6972?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30201592, -60403180, -90604764, -120806344?\nAnswer: -151007920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-5 - -11) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 19 + 3)*(-2*v - 5 + 5) + (-9*v + 20*v - 12*v)*(5 + 38 - 12) to d + a*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 276*z**3 - 807*z**2 - 534*z = 0.\nAnswer: -89, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:58 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182 - 128. Let s = 54.1 - h. What is the fourth smallest value in s, 5, -2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 4 = 43*h. Suppose 0 = 2*m - 8, -4*g + 560 = 6*m - h*m. What is the greatest common factor of g and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 25 = j. Suppose -4*a - 14 = 14. Let q = a - j. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 2. Sort -1\/2, t, -2\/7 in descending order.\nAnswer: t, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 446*k - 8916 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1015 - 1015. Let z(b) be the second derivative of o - 6*b + 0*b**2 - 1\/12*b**4 - 3*b**3. Find the second derivative of z(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161686.674 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212 - -216. Let x(a) = 3*a**3 + 5*a**2 - 3*a + 2. Let r(w) = -3*w**3 - 6*w**2 + 4*w - 3. What is c*x(i) + 3*r(i)?\nAnswer: 3*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -1\/4, -11.9, 295, 2, -4\/5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/22 and -45\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 5165 + 781. Suppose j - 246 - g = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1067771 = 10*k - 2905951. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80*(2 + 832 + 1). Suppose 4*n - 14*n - a = 0. What is n rounded to the nearest 100?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 56288*d - 198021184.\nAnswer: -4*(d + 7036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -566*f - 52*f - 87*f + 3 - 472*f - 22*f in the form y*f + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/(y\/y**(-2\/7))*(y\/(y*y*y**(2\/17))*y*y)\/(y*y**1))**(-2\/29) assuming y is positive.\nAnswer: y**(2238\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.387 plus -4?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4315 is divided by 1075?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/827 or -43590.3?\nAnswer: -43590.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 78*h**2 - 41*h**2 + 22 - 1 - 40*h**2. Let r(s) = 2*s**2. Determine r(i(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/((-32)\/(-35314)) - (-6)\/1. What is the highest common factor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*k = -348 + 1268, -4*k = -4*g + 952. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*a = 13, 0 = -36*z + 39*z - a + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173990422?\nAnswer: 2, 61, 1426151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -648, -63\/16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524600 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3253293, 3253287, 3253281?\nAnswer: 3253275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Suppose 20 = n*x - 24. Suppose 3*u + 13 = 5*w, -4*u = -3*w + 2*w - x. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.954 - -0.046. Let m = -23 + n. Which is the biggest value? (a) m (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127168787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*q + 8*q - 64. Put q, 0.08, -153 in decreasing order.\nAnswer: 0.08, q, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**3 - a**2 - 6*a + 2. Suppose -3*l - 2*l = 5*n - 5, n = 3*l + 17. Suppose -5*z = n, -5*z + 0 - 2 = 3*x. Let i(t) = t**3 - t. Give x*o(k) - 6*i(k).\nAnswer: 3*k**3 - k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2.8, 9, -0.081, 1, 2\/5 in ascending order.\nAnswer: -2.8, -0.1, -0.081, 2\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 8 + 0*w**2 + 0*w**3 - 21\/5*w**5 + 0*w**4 - 13*w. Find the first derivative of q(c) wrt c.\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 60, 46, 26?\n\"Answer: -3*w**2 + w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 18*c + 9 = 0. Is c less than 2\/1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 + 28 = 0. Let u = 16 + t. Calculate the remainder when (-101)\/(-2) + u\/10 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103020 + -1010?\nAnswer: -110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*18\/(-234)*(-4)\/8*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 18*h**5\/13 - 184*h**4\/13 - 14*h**3\/13 + 588*h**2\/13 - 488*h\/13 + 80\/13 = 0.\nAnswer: -2, 2\/9, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 43 - 2)*(-113 + 113 - 4*f) in the form n + i*f and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -125. Let p = 3.5 + -3. Which is the nearest to f? (a) p (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5503590.\nAnswer: 2, 3, 5, 61151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9)*3 - 72653\/(-99813). Suppose 0 = -3*i + 5 + 7, 4*i = -2*u + 18. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407044563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 9*m + 60. Differentiate -8 + 14 + 1 - m*r**4 with respect to r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 - 222948*m**3 - 19167981*m**2 - 412071838*m = 0.\nAnswer: -222862, -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -1. Calculate the smallest common multiple of 53 and x.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 21. Let y(r) = -17*r + 19. Let x(v) = -33*v + 44. Let n(g) = 3*x(g) - 7*y(g). Calculate n(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3507764 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 177056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p - 150*p = 528 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 38627652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233 + -11?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4688 + 4687.997709. Round h to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 3, n: 2, p: 9, b: 3, q: 1}. Give prob of sequence np.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 4*v + 3*v - 10. Let x(h) = 3*h + 3. Let g(w) = 2*p(w) + 7*x(w). Let u be -5 + 6 + -3 + 0. Give g(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/10403982 and -109\/684.\nAnswer: 20807964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 6. Suppose 5*x = 7*x - 18. Suppose -x*h = -u*h - 3. Are 1\/20 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 2.9. Which is smaller: -4\/3 or k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 669 * 0.13.\nAnswer: 86.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*d - 28 + 28)*(-5 + 6 + 8) to the form b + v*d and give v.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10931, 22002, 33211, 44558, 56043, 67666?\n\"Answer: 69*b**2 + 10864*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-89)\/(-1068)*(564\/2700 + (-1)\/(-9))\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(-2*g + g - g) + (-2*g + 2*g - 3*g)*(-4 + 1 - 2).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16745*d**3*g**2 + d**2*g**2 + 16091*d**2*g + d**2 + 2*g**2 wrt d.\nAnswer: 100470*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 647\/12 - 33013\/612. Let z = w - 23\/1071. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/36)\/((-79)\/(-13509)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 613. Suppose 12*a - v = 5*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-30)\/9 - (2 - 2). Let c = -4 + 4. Let d be (5\/5*5)\/(9\/9). What is the nearest to -2.3 in c, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630 is divided by 163.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40*-1490\nAnswer: -59600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3\/2 (b) 2\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 8 = q. Solve 2*b + 10 = 3*w, 2*w + 2 = -q*b - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2378 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 28. Let l be 0 - (w - -2) - -2. Is l less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -7*p**6\/6 - p**3\/3 - 26*p. What is the second derivative of t(u) wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 278 - -28?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/3))**(-25)*s**3\/((s**(-4)*s)\/s*s))**(-17) assuming s is positive.\nAnswer: s**(544\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137624 divided by 1.\nAnswer: -137624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 + 227. Is 16 a factor of 3\/(-3 + 300\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 23*n = 10*n. Suppose -2*m + 91 - 77 = n. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-1\/21) assuming a is positive.\nAnswer: a**(1\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w, 2*w = -3*k + 6. Suppose -4*z + 8 = -5*i + 1, i + k = z. Let a be 3*4\/12*z. Solve b - a = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 256 - -4312260?\nAnswer: 4312536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93460 - 47652 = 129*n + 38455 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8 + 0.8. Let l = -5\/21 + -2\/21. What is the nearest to l in 0.5, r, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:40 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7232 - -15264. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*w, 2*w + w + 75 = 3*n. Let y(k) = 81*k**3 - 2*k**2 + 4*k - 5. What is the least common multiple of y(1) and n?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b - 13. Let q(j) = 8*j - 6. Determine -3*o(y) + 5*q(y).\nAnswer: -5*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589.6 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.52288 greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(77) - sqrt(77)*1)*-3)\/(-1*sqrt(44)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2310 and 207515?\nAnswer: 1245090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (38\/(-11))\/((-116)\/1626262).\nAnswer: 19, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 divided by 8325?\nAnswer: 809\/2775","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.43253005373 - 19?\nAnswer: -19.43253005373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 11 + -3 - 24 - 29.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 3:14 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, 80, 210, 364, 524, 672?\n\"Answer: -3*t**3 + 39*t**2 - 8*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 - (8 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 2474*v - 14886. Determine c(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v**5 - 498*v**4 - 1600*v**3 - 2128*v**2 - 768*v + 352 = 0. Calculate v.\nAnswer: -22\/7, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5842.6 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*z + 117*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-714)\/187 + (-4)\/22. Let c(m) be the third derivative of -m**6\/120 - m**5\/15 - m**4\/4 - m**3\/2 - m**2. What are the prime factors of c(b)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1542122 (base 7) to base 3.\nAnswer: 101202212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 179581+-197577\nAnswer: -17996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.104 to 2 decimal places.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*1)\/(1 + 40\/(-44)). Suppose 2*q - n = 7, -4*q = n - c + 4. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/1417375 and -79\/49300.\nAnswer: 5669500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14322430 + 3?\nAnswer: -14322422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5387 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 4*t - 4. Let n(l) = -l**2 + 2 + 3 - 5*l + 0*l**2 + 2*l**2. Give 4*n(r) + 5*s(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -686, -1, 0.1 in ascending order.\nAnswer: -686, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l**4 + 1764*l**3 + 4438*l**2 + 1446*l - 1260 = 0. Calculate l.\nAnswer: -105\/2, -2, -1, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -67*x**3 - 2*x**2 + 3*x - 10. Let q(z) = 33*z**3 - z**2 - 2*z + 6. Give 3*n(h) + 5*q(h).\nAnswer: -36*h**3 - 11*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14996806 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 684\/7. Let j = -246759 + 246759.054. What is the nearest to j in w, 5, -2\/3, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.364 + -1.89. Let t = -0.826 - m. Which is the third biggest value? (a) t (b) -2\/25 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2537486 (base 10) to base 15\nAnswer: 351cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 106 + 17 = 5*w, 2*j - 31 = -w. Which is greater: -22 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m + 10\/3*m**3 + 1\/2*m**2 + 15. Determine x(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = -42. Let q = t - -35. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2923156002107.\nAnswer: 2923156002108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*p**4 + 546 - 6*p**4 - 2*p - 546 + 21*p**4 + 2*p**3 to q*p**4 + m + v*p + h*p**2 + k*p**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.459903 - 1.46. What is i rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974718251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 9*a**3 + 6*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let t(f) = 3*f - 4*f - 3*f - 5*f. What is t(b(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/60 - j**5\/30 + j**4\/12 + j**3\/3 + 33*j**2. Factor y(l).\nAnswer: -2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*i = -3, 3*i = -4*r + 8 - 29. Let t = r - -7. Let j(d) = -t*d**2 + 5*d**2 + 4 + 2*d**3 - 1 - 4. Give j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.04, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 18*u - 63*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-15)\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: How many minutes are there between 12:48 PM and 1:57 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times 1.4?\nAnswer: -0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 4. Determine v(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 5*s)*(14*s - 4*s + 19*s)*(-402*s**2 - 98*s**2 - 28*s**2).\nAnswer: -30624*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1059 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 36\/(-8)*-15. Let v be 12903\/r + (-2)\/(-8). Suppose -5*n = 4*d - v, 145 = 5*n - 2*d - 3*d. What is the highest common factor of n and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a factor of 625242184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/3, 6\/254753, -3?\nAnswer: 6\/254753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2869 divide 58970433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -35 - -38 - 23?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -5*d**3\/6 + 5*d**2\/2 + 3*d. Let p(l) = -l + 1. What is -6*p(a) + x(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 291, 1212, 2739, 4866, 7587?\n\"Answer: -o**3 + 309*o**2 + o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 25. Let r be o(21). Let p = r + -40. What is the third derivative of 12*h**6 - 23*h**2 - 3*h**p + 1 - 1 wrt h?\nAnswer: 1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7703 is divided by 2367.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 14*r - 29. Let b(y) = y**2 - 7*y - 10. Let i be b(7). Let h = -6 + i. Let a be v(h). Solve -4*j - 4*m = 0, a*j = j + m + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from {e: 2, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.5 + 5.5. Let x = q - 19.9. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r*z**3 + 3*r - 367*z**3 with respect to r.\nAnswer: -5*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9558 - 9556. Put -0.2, 2\/9, b, 10 in descending order.\nAnswer: 10, b, 2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -53*b + 61*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.22 from 128.\nAnswer: 127.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 30\/7 (b) 0.09 (c) 1 (d) 5 (e) -29 (f) 2 (g) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1. Let r(j) = -5*j - 2. Let k(q) = 4*g(q) + r(q). Let f = 21 - -1. Calculate the lowest common multiple of k(-2) and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 13*p - p - 2*p - 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -922 + 147. Let v = b + 337. List the prime factors of v.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747432377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 430144 and -29341?\nAnswer: 459485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22422823.4099933 - 22422822. Let i = -1.41 + j. What is i rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 12*o - 1482. Let k = 138 - o. Let x = 135 + k. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 3*u + 18. Let k be r(6). Solve b + b - 2 = k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 23*r - 25. Let f(a) = -11*a + 12. Let n(g) = 5*f(g) + 3*p(g). Is 7 a factor of n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.1. Let r be 5*(15 - (-693)\/(-45)). Which is the second biggest value? (a) 2\/9 (b) w (c) -1\/4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2\/21*j**3 - 8\/7*j**2 + 38 + 1\/70*j**5 + 46*j + 5\/42*j**4. Let a(i) be the first derivative of y(i). Factor a(f).\nAnswer: 2*(f - 1)*(f + 2)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7913 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -38*x + 151459 + 185221. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4173, -4329, -4483, -4635?\nAnswer: -4785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000215720161 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 - 238 + 168*j - 426*j + 122 + 116.\nAnswer: 7*j**2 - 258*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/(12 - (-285)\/(-10)). What is the nearest to -0.1 in 0.5, -4, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -4\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2199312 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25580.8*-0.2\nAnswer: 5116.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*k + 16, 7 = 3*k + 3*l - 2. Let f = 2 + -4. What is the smallest common multiple of (6 - k)*(5 + f) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2589 = 99*a - 5267 + 728 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*3*85\/34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394935084 + -392418554.71. Let d = -2516552.2900019 + u. Let h = 23 + d. What is h rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 134321\nAnswer: 10745.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/7, -0.2, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.205 - 0.29. Round b to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*m - 3*m. Let x = m + 71. Let w = 118\/3 - x. Find the common denominator of 23\/6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6*c + 1166 = -4*c, -1166 = -2*i + 4*c. Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17304 and 5052.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 124*n + 3335. Determine i(85).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:59 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.42623 - 122.6.\nAnswer: -126.02623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r)*(-r**3 - 3*r**3 - 2*r**3) + (0*r + 0*r - 2*r**3)*(-1 + 1 - 3*r) - 18*r**4 + 4*r**4 + 11*r**4.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1600995 and -67\/309870?\nAnswer: 9605970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**3 - 5*h**2 + 2*h - 3. Let r(m) = 8*m**3 + 6*m**2 - 2*m + 3. Give 6*l(q) + 5*r(q).\nAnswer: -2*q**3 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 1. Let j be x(-2). Solve 5*l + 3*m - j*m = 15, 5*m = -25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -5, 36, 103, 202, 339, 520, 751?\n\"Answer: b**3 + 4*b**2 + 2*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 609923 and 7?\nAnswer: 4269461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 8. Let q be i(7). Suppose v - q - 4 = 0. What is the second derivative of -b - b + 3*b**v - 2*b**5 - 5*b**5 wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14858.99990997 - 14859. Round a to 6 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-4)\/(-24))\/((-9)\/54)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 98*h**3 + 1 - 7028*h + 7031*h wrt h?\nAnswer: -588*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -213, -1878, 12 in descending order.\nAnswer: 12, -5, -213, -1878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 122 - 7. Let y = t - 32. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -78. Suppose 5*n - 3*j - 104 = 88, w*n - 5*j = 164. Calculate the lowest common multiple of 44 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 68 - 8 + 17*d**3 - 2*d - 13*d**3.\nAnswer: 12*d**3 - 2*d - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Is 4 a factor of -5*(t - -2) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 7. Let n be l(8). Let h be ((-7)\/(-2))\/(n\/(-2)). Is 2\/h - 4641\/(-49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 24281*t**2 - 36*t + 14*t.\nAnswer: -24281*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*t**5 - 6*t**4 + 505*t**3 + 5*t**2 + 320*t - 2?\nAnswer: 420*t**2 - 144*t + 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105005.3 and 0.04.\nAnswer: -105005.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101440 (base 5) to base 13\nAnswer: 16c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 224 = 377 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**3 + 5*t**2 - 4*t - 1. List the prime factors of g(2).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38564*g**2*u**5 - 284385*g**2*u**2 + u**5 wrt u?\nAnswer: -2313840*g**2*u**2 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 - 0.11. Put -4\/5, a, 8 in descending order.\nAnswer: 8, a, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 115766445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) -5\/3 (d) -2\/57895\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g - 4. Let r(c) = -26*c - 21. Suppose 0 = t + 58 - 56. Determine t*r(j) + 11*v(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -3253946.\nAnswer: -3253910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*i + 92*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 946052546 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1520aa2 + 0?\nAnswer: -1520aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p**3 - p**2 + p + 1. Let f be g(-1). Find o such that f*o - 68*o**2 + o**3 + 8 + 60*o**4 - 15*o + 3*o**3 - 7*o = 0.\nAnswer: -1, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3789235.\nAnswer: 5, 53, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59\/4 + 317\/12. Let h = -3660 + 32887\/9. Find the common denominator of w and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + 3*r**2 - 6*r - 4. Let p be d(3). Suppose 3*q = 2*c - 108, 2*q + p = -2*q - 5*c. Let s = -31 - q. Solve -3 = 5*f + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/11 + 38726*t\/11 - 387460\/11 = 0?\nAnswer: -19373, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/504 - 7*a**6\/720 - a**4\/2 - 5*a. Let z(u) be the third derivative of x(u). Find the second derivative of z(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 12 - 3 - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 43026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -3)\/((-3)\/(-33)). Calculate the remainder when 63 is divided by (-2)\/4 - g\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 19*k + 18.\nAnswer: (k - 18)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3\/5, 6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1545235, 3090517, 4635799?\nAnswer: 6181081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 13 - (-2 - (3 - 0)). Is (-5006)\/6*(16 - d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*z - 2384*z = 1407*z + 1959*z + 80625 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -3350 (c) 0 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-8175486.\nAnswer: 81754860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 - 10 + 10)*(-2 - 4*a + a + a) - 24*a**3 + 2*a**3 + 6*a**3 as k + v*a**2 + x*a**3 + w*a and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 32*j + 56. Let h be t(-12). Suppose 6*q = h - 86. Solve -2*y + 8 = r - 2*r, q*y + 3*r = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/58882865 and 77\/47106292.\nAnswer: 235531460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -259.1504861+0.115\nAnswer: -259.0354861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -320, -318, -316, -314?\n\"Answer: 2*g - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -56684309 in decreasing order.\nAnswer: 2, -3, -56684309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -4932ba6?\nAnswer: -4932ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:44 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -55, 6, 101, 236, 417, 650?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -124. Let j be (-1*4 + 2)*v\/6. Does 17 divide (j - -1) + -5*(-10 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 + 6*f**2 - 6*f**2)*((2 + 0 - 4)*(0*f**2 - 2*f**2 + 3*f**2) + 30*f + 32*f**2 - 30*f).\nAnswer: 210*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -27032.\nAnswer: 1432696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - 0 - -6. Suppose 0 = -n*x + 4*m + 2, m = -x + 4. Suppose x*s + 5*u - 69 = -0*s, 2*s - 2*u - 76 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 8, 1 in ascending order.\nAnswer: -5, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n**3 - 3*n)*(-5 + 20 + 4)*(-53 + 0 + 213)*(4 - 1 + 0) as c*n + w + b*n**2 + d*n**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*a**4 - 20*a**3.\nAnswer: 5*a**3*(9*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 75.8. Let d = m - -12. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -410?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*t + 110, -2*t + 0*t = -4*z - 40. Let w = -14 + t. Suppose -3*p + 172 = 34. Calculate the remainder when p is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -66 + 1 + 3 + (9 - 3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-8 - -16)\/8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f**3 - 5*f**2 + 10*f + 17. Let z be n(-5). Suppose 2*h = c + 2871, -3*h - 3*c - z = -5278. What are the prime factors of h?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0 - (-1 + -1). Suppose -2*a = -v*y + 698, -2*y + 0*y + 5*a = -686. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2454)\/(-4090))\/(3\/125)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/51)*y*y**(-1\/12) assuming y is positive.\nAnswer: y**(65\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310657 (base 9) to base 10.\nAnswer: -184246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8) - 2\/4. Let l(f) be the second derivative of h + 2\/3*f**3 + f + 0*f**2 - 1\/6*f**4. Let i(x) = -x. What is 4*i(a) + l(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -19908 greater than or equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 + 3*n**2 + 3*n**2)*(2*n**2 + 0 + 0) - 6*n**4 - 23 + 23 + 83 - n**2 - 83 - 65*n**4.\nAnswer: -73*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/7, 1, 0.5 in decreasing order.\nAnswer: 4, 1, 4\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -304 divided by -38\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.3, 0.651, 2\/5?\nAnswer: 0.651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 + -1)) + (49 + -42 - -58)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - s = -36, 3*s - 29 = -2*l + 4*s. Let d = 14 - l. Let g(k) = -d - 2 + 6 - 2 - 9*k. Determine g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(6)\/sqrt(2) + -3 - -6*sqrt(12)) - ((-1*sqrt(3) + -1 - (sqrt(3) + 0 + 4))*-2)**2.\nAnswer: -153 - 67*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480292 is divided by 20881?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -1 - 1 - (3 - 7). Suppose -4*u + 88 = -4*y, -4*u - 3*y = y - 64. Solve -m - 3 = l, 4*m - i*l = m - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -31. Let b = -10 - t. Suppose 4*p = b*p + 30. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + x. Suppose x*m = -i + m - 3, 0 = -3*i + 4*m - 9. Sort 3, 4, i in ascending order.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + w)*(1 - 1 + 2)*(-9 + 9 + 8*w)*(7*w**2 + 9*w**2 + 4*w**2).\nAnswer: 640*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365922?\nAnswer: 2, 31, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834602.\nAnswer: 2, 61, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-4*4\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 15*n - 172. What is the lowest common multiple of b(12) and 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/14*83\/2*13. Let q = x - 462. Which is the smallest value? (a) -14\/3 (b) 5 (c) q (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most 263130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/90753 or -1?\nAnswer: -2\/90753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/55 + -367\/330. Let k = 96 + 195. Calculate the common denominator of z and k\/16*44\/(-528).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.7. Let w = 2.2 + n. Let i = -2 + w. Which is the smallest value? (a) 2 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319 - -318.723. Round r to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*j - 2108*j**2 + 2108*j**2 + 71*j - j**4 + 29 wrt j.\nAnswer: -4*j**3 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*d - 4*j = -3*d + 5*d + 86, 0 = -2*d + 2*j + 48 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 190 = -0*g - 5*f, 924 = 5*g - f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, h: 1, m: 6, b: 1}. What is prob of picking 3 r and 1 m?\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421252 (base 6) to base 5.\nAnswer: -2042031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 2*w + 7. What is the tens digit of u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*w + 4*w - 2*w + (-w + 0 + 0)*(-3 - 2 - 13) - 2 + 2 + 2*w)*(-16 - 5 - 10) as v + x*w and give x.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27557171893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624 and 9204.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 2028*w**3 - w.\nAnswer: 2028*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 19*s + 7. Let c = -8 + 11. Suppose 5*j + c*n - 7 = 0, -5*j + 13 = -n - 2*n. What is the least common multiple of h(19) and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 10*u - 4. Let i(c) = 22*c**2 + 1 - 8*c**2 - 7*c**2 + 3*c - 6*c**2. Let d = -7 + 14. Let l(b) = d*i(b) + 2*s(b). Give l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*w + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:17 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 0.2, -1\/90, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015 is divided by 587.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 12*d**2 - 4*d**3 + 0*d**2 + 5*d**3 in the form f*d + o*d**2 + y*d**3 + c and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 5. Let m be z(-5). Let y be -1*(-2 - (-11)\/m). Suppose 5*a = -2*k - 5, -3*a + 5 + 13 = -3*k. What is the smallest value in 2, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 4.03. Let z = 5 + l. Which is the third smallest value? (a) z (b) -0.12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 6\/14 - 3995\/(-119)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (66\/(-165))\/((-6)\/(-80))*-3. What is the highest common factor of 3616 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (-3 + (2*sqrt(1872) - sqrt(1872))))**2*6 + -3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from ggmymgmgymmmgmgggg.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 140*d - 414*d + 69*d.\nAnswer: -205*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 14 - 14 + 0. Let m(s) = -12*s. Suppose -7 = 5*a + 13. Let u(i) = -4*i. Let c(t) = a*m(t) + 11*u(t). Calculate r(c(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 336 - 544. Let j = w - -2. Which is bigger: -207 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.0236098 to two decimal places.\nAnswer: -16.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 500 = t - 496, 3*t - 5*l = 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 159*y + 664. Let v(m) = 246*m + 996. Let f(p) = 8*n(p) - 5*v(p). Let g(w) = 2*w**2. Calculate g(f(l)).\nAnswer: 3528*l**2 + 55776*l + 220448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34286594*k + 34285994*k + 67200 for k.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlnnnllnnnnnnnnnnn. What is prob of sequence ll?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 348179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*c = -10, -2*c = -3*y + 2*c + 30. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*s**2 - 362*s**2 + 1097*s**2 - 358*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 639481.2 minutes in milliseconds?\nAnswer: 38368872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -12, -217593, 5, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**3\/6 - 5*h**2\/2 + h. What is the units digit of s(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-3)\/4*(-8)\/(-48). Let w be 2\/(-4)*(-6)\/4. Let -a*f**2 + 0*f - w*f**3 + 0 - 3\/4*f**4 - 1\/4*f**5 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -y. Let v(w) be the third derivative of w**4\/12 - 3*w**3\/2 - w**2 + 121*w. Determine v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, 4, -0.3385?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -67*d - 14. Let x(v) = -143*v - 30. Let z(a) = -15*o(a) + 7*x(a). Let m(j) = -3*j**2 + 59. Determine m(z(t)).\nAnswer: -48*t**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10505 * -7.\nAnswer: -73535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 73*i**4\/4 - 135*i**2\/2 - 47. Find the second derivative of h(d) wrt d.\nAnswer: 438*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*s - 4*g - 16 = 770*s, -5*s + 3*g + 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(84) + -1*sqrt(84)) + sqrt(84) - sqrt(84))\/(4*sqrt(12)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p - 3. Calculate the greatest common factor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1796 (b) -2 (c) -62 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and 128.142?\nAnswer: 15633.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 3 - (-8 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 7637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17934, -35868, -53798, -71724, -89646, -107564?\n\"Answer: 2*z**2 - 17940*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 15*d - 6. Let n be a(-14). Solve z + 0*v + 4*v + 7 = 0, -4*v + n = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbj when three letters picked without replacement from {b: 2, j: 9, c: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 244651 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 130511 (base 6) to base 10\nAnswer: 11851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f - 38*f - 31 + 15*f + 31. Let h(v) = -v + 5. Calculate h(s(b)).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4*3\/30). Suppose 2*c = 9 + l. What is the highest common factor of 132 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 6. Let l be r(5). Let p = l - -39. Let u(g) = -g**3 - 8*g**2 + 8*g - 7. What is the lowest common multiple of u(-9) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(300)\/(sqrt(60)\/sqrt(5)))\/(sqrt(500)*4).\nAnswer: sqrt(5)\/40 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 811052 and 562.\nAnswer: 811614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124117 is divided by 41371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.539 - 6.02063. Round r to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6898*w**2 - 6898*w**2 + 13*w + 25*w**4 + 10*w**3 - 3*w**4 - 10*w**3 + (2*w + 4 - 4)*(-2*w**3 + 6*w**3 - 2*w**3) + w**3 - w**3 - 2*w**4 - w**4 - 1 + 1.\nAnswer: 23*w**4 + 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 1\/6, -48 in decreasing order.\nAnswer: 1\/6, -0.23, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56611*a - 25721*a - 59608*a.\nAnswer: -141940*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1353 - -1337 - (22 + -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -16*k + 4. Solve -4 = -2*j - 4*r, -3*j + 3*r - 15 = k*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134495690 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1846180.9269?\nAnswer: -1846178.9269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28416, -56833, -85250, -113667, -142084, -170501?\nAnswer: -198918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 37*k**2 + 46*k + 226. Is 34 a factor of j(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e9073 (base 15) to base 14.\nAnswer: -587898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/((-3)\/8). Let c(t) be the third derivative of t**6\/120 - t**5\/15 + t**4\/12 + 2*t**3\/3 + 32*t**2. List the prime factors of c(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**3 - z**2 + 13*z + 2. Let s(g) = 9*g**3 - g**2 + 19*g + 3. Let u(y) = -3*m(y) + 2*s(y). Determine u(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.3 (c) -0.26 (d) 3\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12*4\/48*((-12)\/(-21))\/(-1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*i - 5*u - 34, 0 = 4*i - u - 10. Let f(b) = -4 - i + 1 - b. Determine f(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 - 2*z**2 + (z - 4*z - z)*(5*z - 2*z + 8*z) + 2*z**2 - 2*z**2 + 3*z**2 + 2*z**2 + 5*z - 5*z - z.\nAnswer: -41*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 12. Let c(o) = -5586420*o. Determine s(c(m)).\nAnswer: 5586420*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/(6 - 5) - 4. Let g be 2 - o - -2 - (-4 - -1). Let t = g - -29. Let y(l) = 8*l**3 + l**2 - 2*l + 1. Determine y(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {h: 3, m: 2, n: 3, e: 4, q: 4, k: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 + 5*u + 2. Let j be i(-3). Let a = -28 - j. Suppose -a*d - 264 = -7*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111\/34 + 30\/17. Let t = -43756\/7 + 6251. Which is the closest to -1? (a) t (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g - 13*g - 3 - 10 - 13 - 12 to the form v*g + o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(9*c - 2*c + 0*c)*(-9*c - 8*c + 12*c) to j*c + u*c**2 + o and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, o: 14}. Give prob of picking 1 o and 3 p.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.621 - 0.68. Let b = -0.1465 - z. Let d = b - -0.122. What is d rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26646372 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 5*m**2 + 5*m - 1. Let v be g(-6). Suppose v*l = 41 + 39. Let i be (8\/(-6))\/(5*(-7)\/1260). Calculate the highest common divisor of l and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srr when three letters picked without replacement from {s: 7, d: 5, r: 2}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b + 51 = -132 + 17. Let t(p) be the first derivative of 0*p**3 + 0*p**b + 20*p - 11 + 1\/2*p**4. What is the first derivative of t(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 41*m - 7. Let k(g) = -17*g + 3. Let t(j) = -5*h(j) - 12*k(j). Let c(u) = -4*u + 4. What is c(b) + 5*t(b)?\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-9)*l)\/l*l**(-2\/5))**39)**(4\/5) assuming l is positive.\nAnswer: l**(-7332\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 0 - 34\/(-7) - 2. What is the nearest to 0.15 in j, 3, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -2 + 12)*(3\/3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1691 + 4617. Is b a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 4 + -409 + -57. Let x = 466 + t. Let n = 5 - 3. Which is the smallest value? (a) x (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 + 8 = 0. Does 14 divide ((-16)\/(-20)*-7)\/(f\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 19. Suppose 8*k + 44 = 4*k - 4*v, -34 = 2*k + 5*v. Let z be f(k). Let a(l) = -l**3 + 2*l**2 + 5*l - 2. Let j be a(3). Sort z, -3, j.\nAnswer: z, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (75\/(-80) + 1)\/((-3)\/30). Are w and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -6.\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**3 - 15*c**2 - 3*c - 11. Let k(t) = 3*t**3 + 8*t**2 + 2*t + 6. Let d(s) = 4*f(s) + 7*k(s). Determine d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*b = -3, 940 = -3*d + 4*b + 927 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-150))\/(3\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -1 (c) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-30) - (-4917)\/(-15). Is (0 - -5) + (2 - q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h + 30. Let c be b(-3). Solve 4*i + 2*a = 3*a + 17, 5*i + 3*a = c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 + 14)*(-3)\/(-4) - -171. What is the greatest common factor of 84 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Let s(l) be the second derivative of -53*l**4\/6 + 196*l + 1. Calculate i(s(k)).\nAnswer: 212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2249186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -334 + 355. Which is the fourth smallest value? (a) -1 (b) 0.3 (c) o (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1413 + 240?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32.05458 + -559231\nAnswer: -559198.94542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/72*(-10)\/(-75)*(-21)\/35.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232685669?\nAnswer: 227, 1025047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237*v - 4 + 0*v**2 + 2*v**2 - 235*v to a*v + o*v**2 + b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 154 = -126. Let r be (n - -1)*(3 + (-99)\/15). Round r to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2*m - 1 + 1)*(m + 4*m + 2*m).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by 1?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (19890\/340)\/9*4\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38012, -38009, -38006, -38003, -38000, -37997?\n\"Answer: 3*k - 38015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1952480, 3904932, 5857384?\nAnswer: 7809836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 + 2*v**2 + 2*v - 3. Suppose o - 2 = 2, 4*o - 18 = -2*d. Let m(k) = k**3 + k**2 + k - 1. What is d*n(i) - 2*m(i)?\nAnswer: i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 45*k**3 + 2*k**2 + 8*k - 21. What is the hundreds digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + 7*(-6 - -4 - -1). Solve s*t + 3*c + 0 = 5, 2*t + c = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -113, -180, -249, -320, -393, -468?\n\"Answer: -f**2 - 62*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 1, l: 5, a: 8}. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 256\/10 + 22\/55. Let o(f) = -4*f**3 + 3*f**2 + 3*f + 3. Let x(c) = -17*c**3 + 13*c**2 + 13*c + 13. What is u*o(b) - 6*x(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1391\/227 or -7?\nAnswer: -1391\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*9\/(3168\/814).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17346136.5ns to days.\nAnswer: 0.00000020076546875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (26 - 29) - -28 - (-4 + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Suppose c = -2*n - n - 6. Is 11 + 2\/(0 + n) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4510928 is divided by 3839.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:04 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*a + 10, p - 4 = -p - a. Suppose -45 - 33 = -6*j. List the prime factors of (p - 0)*j\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + (10 - (-13 - -16)) - -16) + (2 - 31)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2945, 2965, 2985?\n\"Answer: 20*r + 2925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 0*c**4 - 4*c**4)*(44 - 44 - 10*c) + (0 - 1 - 1 + 2*c)*(-13*c**4 + 10*c**4 + 25*c**4).\nAnswer: 64*c**5 - 44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + 21*m + 22. Calculate w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((1 - -17) + (86 - (-7 - -55))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3739 - -265465\/7478. Find the common denominator of t and -27\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.33 and 1732.9?\nAnswer: -40428.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(1\/26)*(i\/i**14)\/i assuming i is positive.\nAnswer: i**(-339\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90984031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17907*k**3*l + 15*k**2 - 5*k*l + 46*k + 1 wrt k?\nAnswer: -107442*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0*i**2 - 9*i**2 + 7*i**2. Let h(l) = -57*l**2. Let q(b) = -7*b**2. Let j(u) = 4*h(u) - 33*q(u). Give j(t(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 4*s - 2. Let d be j(-3). Let t = 0.03 + -0.33. Let r = -52\/9 - -242\/45. Which is the closest to -1? (a) d (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705402.9 millilitres in litres?\nAnswer: 705.4029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30031232 (base 4) to base 14.\nAnswer: 14338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -23. Which is the third biggest value? (a) 0.5 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2430 or 2429?\nAnswer: 2429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5344 + -3?\nAnswer: -5347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 68*h**3 - 6*h**2 + 6*h. Let w(i) = 135*i**3 - 11*i**2 + 12*i. Let d(o) = -5*q(o) + 3*w(o). Find the third derivative of d(x) wrt x.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 14 = -2 + 23, 3*j + 2*f = -14 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167333609, -167333600, -167333579, -167333540, -167333477, -167333384, -167333255, -167333084?\nAnswer: -167332865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 610\/(-183)*3\/(-14).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 3*p - 10. Is b(7) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 14, j: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -1498\/11. Let y = -255 + 253. Let x be -11 + ((-1240)\/(-90) - 3). What is the closest to -0.1 in h, y, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 284532 and -131.\nAnswer: -37273692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 = -1. Let d(l) = -4*l - 2. Let p be d(t). Suppose 0 = -5*a + 3*k + 12, a + 0*a + 3*k - p = 0. Solve a*f - 7*f = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -x - 5*q + 41, 0 = 4*x - 4*q + 24. What is the nearest to -5 in x, -3\/4, 25?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + t + 3*t, b = -3*t. Let q(a) = 0 + 5*a + 7*a + b. Let l(f) = f**2. Calculate l(q(i)).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17431865*y**4 - 1423886.\nAnswer: 69727460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29561 and 407038078.\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49008, 48809, 48624, 48453, 48296, 48153, 48024?\n\"Answer: 7*r**2 - 220*r + 49221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -0.4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -139741.\nAnswer: 3\/139741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1556555 millennia in months?\nAnswer: 1867.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191.67 + 193. Let x = 1.13 - v. Put x, -2\/29, -3 in ascending order.\nAnswer: -3, x, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 5*s**4 + 2*s**3 + 15*s**4 - 15 + 9 + 128*s - 13*s**4 as g*s**2 + a*s + i*s**3 + r*s**4 + u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2590 - -2592. Let v = 1 + 2. Solve v*g = -d + 5, -g = d - r*d + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000120143 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1)*(-14)\/10*5. Solve -f*w = -10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*1 + sqrt(13))*-5*3.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*(-2 - -3). Let u = 0 - 3. Let l = u - -6. Which is the second biggest value? (a) 1 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z - 34*z - 6*z**3 + 71*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3327*c**2 + 19960*c - 1. Give o(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005962?\nAnswer: 2, 151, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/1*(-14)\/(-4032)*24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2013, 4218, 6427, 8634, 10833, 13018, 15183, 17322?\n\"Answer: -j**3 + 8*j**2 + 2188*j - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/4 - (-2)\/8. Let g be b + 0 + -4 - 0\/1. Suppose 2*v - 5*r = -r + 56, 0 = -g*r + 15. What is the lowest common multiple of v and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 16*i**2 - 3*i - 23. Let q be m(-16). Suppose -g - 25 = 4*g, 0 = -n + 4*g + q. Suppose -n*v + v = -1268. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 83. Suppose t = -7*d - d - 0*d. Solve -2*n - n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417073.7 milligrams to grams.\nAnswer: 417.0737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -591.1 + 591. Which is the closest to 2? (a) 0 (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5\/4 - 327*z**4\/4 - 75*z**3\/2 + 8175*z**2\/2 + 1875*z\/4 - 204375\/4 = 0.\nAnswer: -5, 5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8650*j + 346001. Give u(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 + 7*y - 8. Let c be x(2). Solve 3*l - 2*l = 5*a + 2, -l - c = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 1 + ((-134 - -57) + 26 - -96)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/3)\/(w\/(w*w\/(w\/(w\/(w*w**1*w)*w))))*w**(16\/3)*w**(-6) assuming w is positive.\nAnswer: w**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4)*h*(h*((h*h**(2\/21)\/h*h*h)\/h)\/h*h*h)\/h)\/(((h**(-1\/3)*h)\/h)\/h)**(12\/13) assuming h is positive.\nAnswer: h**(3359\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82\/18 - 1 - 4. What is the second smallest value in -1, 2\/5, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 1, y: 1, m: 7}. What is prob of sequence yfxx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**3*g**2 + 7*b**3*g*w - 2*b**3*w + b**2*g*w + b**2*g - b*g*w - 56*b*w - 65*g**2*w + 15790*g**2 + 4*w wrt g.\nAnswer: 10*b**3 - 130*w + 31580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 6103 + 403 = 0. What is the greatest common divisor of 395 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.3432 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (216\/(-81))\/((-2)\/228). Suppose -2*a + 678 = -4*i, a + 44*i = 39*i + g. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.2. Let p = 0 - 39. Let o = 35 + p. Sort 0.5, o, s in ascending order.\nAnswer: o, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*y = 0, 3*y + 4 = -2*l + 11. Let w be ((-5)\/((-10)\/12))\/(-1). List the prime factors of (21\/w)\/(l\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392940 minus -4701768?\nAnswer: 8094708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 214156 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 118. Let u = 57 + y. Calculate the remainder when 30 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 - t - 1. Let n(b) = 86*b**3 + 6*b**2 - 4*b - 8. Let i be 10\/(-15) - (-15)\/9. Let h(a) = i*n(a) - 6*s(a). What is the tens digit of h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(2\/43)))**(-3\/16))**(38\/5) assuming s is positive.\nAnswer: s**(2337\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 850 and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -13 + 5. Let w(q) = -q**2 - 5*q + 4. What is the units digit of w(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0678 + -14.2922. Let j = -15 - c. What is j rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 4, c: 2, j: 3, v: 3, k: 1}. What is prob of picking 1 m, 1 k, and 1 c?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/32))**(-3\/11)*(p*(((p\/(p**(23\/3)\/p)*p)\/p)\/p)\/p)\/p**(-22) assuming p is positive.\nAnswer: p**(16219\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -63.7. Let j = -4 + 3.4. Let q = l + j. Sort -1\/6, q, -3 in descending order.\nAnswer: q, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 167 = 6*d. Calculate the remainder when d is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*g + 21, 2*s - 33 - 1 = 2*g. Let z(i) = -i**2 - 44*i - 195. Let y be z(-5). Solve s = -y*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/130*12\/18?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 28. Suppose -2*f + 87 = -z, -3*z - 173 = -n*f - 0*z. What is the remainder when f is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*a - 2*j + 3*j, -5*a - 5*j + 145 = 0. Suppose -5*d + c - 125 = 0, -2*d = 4*c + 32 - 4. Let x = a + d. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(0 - -1 - 2). Let i be 3*(-2 + 1) + j. Let w = -2 - i. Solve -3 = -3*t + w*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -199.3? (a) 3 (b) 2\/7 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 903*y + 9126. Calculate b(10).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmwrlqqrwwqwtqqtq. Give prob of sequence mq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003838 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -g, 184*g - 188*g = 5*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217885*k**2*n**3 - 5*k*n**3 - 4*k*n - 148*n**3 - 8 wrt k.\nAnswer: -435770*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7883\/33 + -239. Let i = o + -32\/99. Let f = -2 + 5. What is the second biggest value in i, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 990*x**3 + 5*x - 5 + 3 + 2 - 987*x**3.\nAnswer: 3*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 6. Let g be 0*(w*2)\/4. Suppose -2*h - 3*z = 2*h - 136, g = 3*h - 5*z - 73. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.0654 (b) -2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 37 + 0*z**2 + 2*z + 37 - 5*z**2.\nAnswer: -5*z**2 + 2*z - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 41325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -20\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 13*s**2 - 13*s + 9. Let f be d(-12). Let a = f + -9. Calculate the remainder when 17 is divided by -5*(a\/10)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-140)\/(-3))\/(6\/45). Let r be 3\/(-2) + p\/180. Which is the biggest value? (a) r (b) 0.04 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21\/118 - -107\/767. Find the common denominator of p and (-18)\/(-27) + (-34)\/(-48).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*q**5 - 31*q**5 - 17*q + 107*q**5 - q**2 wrt q?\nAnswer: 7800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-2) + (-29250)\/4178. Let d = r + 119101\/29246. Calculate the common denominator of 71*(-3)\/90 - 2 and d.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34847 - -34870. Let a be (2\/(-3))\/(1\/(-417)). Suppose -6*p + 2*p - 5*g = -a, 0 = -2*p - 4*g + 142. What is the remainder when p is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + i + i + 568 = 0, 3*i + 1416 = 5*p. Let x = -117 + p. Let n be (48\/32)\/(1\/10 - 0). What is the greatest common factor of n and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**4 - 2*k**4 - 2*k**4 + (5 - 4 - 2 - 7*k**3)*(-3 + 3 + k) as d*k**2 + w*k + u*k**4 + j*k**3 + p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(156)*6 + sqrt(156) + sqrt(156) - sqrt(156))\/(sqrt(108)*-4)*-2.\nAnswer: 4 + 13*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 29*l**2 + 33*l + 590. What is g(27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5352224?\nAnswer: 2, 19, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143 + 143. Let s(y) be the second derivative of 0 + 0*y**3 + 2*y + n*y**4 + 1\/30*y**5 + 0*y**2. Factor s(b).\nAnswer: 2*b**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b1 + c901?\nAnswer: ccb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15\/((-10)\/1400*-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + 4*b**2 + 2*b - 4. Let j(k) = k**3 + k - 1. Give 4*j(a) - z(a).\nAnswer: 7*a**3 - 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 5*s + 3*s + (-6 + 1 - 1)*(0*s - s + 8*s) + 9 - 9 + s to g + p*s and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/2*y**3 - 3 - 75\/4*y**4 - 9*y + 33\/4*y**2.\nAnswer: -3*(y - 1)**2*(5*y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4046 is divided by 505.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 4:25 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -5, -1, 4, 5.\nAnswer: -43, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 360.83\nAnswer: 370.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. List the prime factors of (z + 0)\/(2\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-56)*(-2 - ((-46)\/8 + 2)). Let p(t) be the second derivative of 7\/24*t**4 - 18*t + 3\/40*t**5 + 0 + 2*t**2 - g*t**3. Factor p(u).\nAnswer: (u - 1)*(u + 4)*(3*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -88. Suppose 0 = -j*r + 175 + 213. What are the prime factors of r?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o - 23*o + 3*o - 17 + 12*o in the form h*o + j and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 - (-54)\/(-3) - (-2 + 4). Which is the third smallest value? (a) 3\/2 (b) y (c) 4 (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpk when three letters picked without replacement from {p: 1, j: 1, o: 1, r: 4, v: 5, k: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 545 - 1183. Let u = q + 1268. What are the prime factors of u?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, 0.3, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 727323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 + 2 - 4*s**5 - 3*s**5 - 3*s**3 + 5*s**5 + 0*s**5 + 0*s**5 + (1 - 2*s - 1)*(-3*s**4 - s**4 + 2*s**4).\nAnswer: 7*s**5 - 3*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 - 1 = -2*f, -c + 4*f - 8 = 0. Let v be (6\/10)\/((-19)\/(-95)). Let u = v + -9. What is the closest to c in -2, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose -q + 18 = 3*f, 2*q + 4 + g = 2*f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 3\/4 (c) 0.3 (d) 1234\/7 (e) 1\/9 (f) 4 (g) -69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2424, 4525, 6632, 8745, 10864?\n\"Answer: 3*u**2 + 2092*u + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/2 - 6*r**2 + 27*r\/2 = 0.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1862 is divided by 903.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -138*x. Let b(o) = -4*o**2. Determine b(a(s)).\nAnswer: -76176*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3\/5 (c) 322610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -20. Suppose x = -4*r - 8, -6*x - 4*r + v = -x. Solve -1\/2*m**5 - 3\/2*m**3 - 1\/2*m**2 + 0 - 3\/2*m**x + 0*m = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -30.81, -1\/2 in ascending order.\nAnswer: -30.81, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 314187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 - s. Let t(p) = p**2 + p. Determine f(k) + 2*t(k).\nAnswer: 15*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18567 + 7098. What is the hundreds digit of ((-22)\/15)\/(-11) + a\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.78 + 27.1. Let w = -142.82 + c. Round w to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -848+19255\nAnswer: 18407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680440 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6821 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(228)*2 - sqrt(228))*-4 + sqrt(228))*1)\/(-2*(sqrt(972) - (sqrt(972) - (sqrt(972)*1 - sqrt(972)) - sqrt(972)) - sqrt(972)) - sqrt(972)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 572*u - 33193. Determine x(58).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4*u**2 + 2*t**4 + 4427*t**2 + t*u**2 + 2*t - 15*u**2 - 634*u wrt t.\nAnswer: -36*t**2*u**2 + 24*t**2 + 8854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 >= 5316444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 3*z + 7. Let n be (-96)\/(-14) - 4\/(-28). Let f(b) = -2*b**2 + b - 3. Determine n*f(h) + 3*c(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose 0*b - 51 = -r*b. Suppose 3*h - b = -2*v, v = -h + 4*h + 22. Calculate the greatest common factor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 112. Suppose -10*u + p*u + 13194 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qiggaqggbabgggagqgg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1483*h**2 + h**3 + 3 - 3 - 1489*h**2. Let s = 12 + -6. Let w be l(s). Solve 3*v = 4*j - w*j + 14, 0 = -4*j - 4*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14148444*y**5 - 3*y**2 - 11*y - 9105.\nAnswer: -848906640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 15888234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2\/3, -2\/7 in decreasing order.\nAnswer: 4, 2\/3, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = 7*n + v, -3*n = v - 4. Solve 3*u - 35 = 5*r, r + n*r = -5*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16720120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Suppose -2*y - 10 = 0, -w*y = -2*g + g + 28. What is the lowest common multiple of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573) + -1))**2*-6.\nAnswer: -339984 + 4752*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*24\/(-1120)*40?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = 15*r - 677. Calculate the lowest common multiple of 78 and r.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 85*h + 31525. What is the third smallest value in 0.5, -2, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 10170*i**3 - 11917551*i**2 + 5590916820*i - 906661993548.\nAnswer: -3*(i - 1258)**2*(i - 437)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*o - 87 + 33 - 33. Sort 5, 3, o, 4, 251 in descending order.\nAnswer: 251, 5, 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11706 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l = 5. Let n = 41\/6 + -13\/2. Which is the closest to n? (a) l (b) 5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 7*d**2 + 26*d - 24. Give a(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460749800 divided by -23037490.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 23\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*-1)\/((-19)\/57). Let k be (1 - -11)*(-3)\/t*-1. Let o(i) = 5*i - 2. Let b(x) = -9*x + 3. Let u(z) = -3*b(z) - 5*o(z). Give u(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9466 = 3*c - 2*i + 3*i, 0 = 3*c + 3*i - 9462. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 0*a**3 - 2*a - 2*a**3 + 4*a + a**3 - 15 - 6*a**2. Let k be n(-11). Suppose -3*f + 5*o = -k - 121, 0 = -2*f - 4*o + 430. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 8*g - 8. Let u be s(7). Let n be ((-2)\/3)\/((-5)\/(-15)). Let h = u - n. Put h, -1\/2, 1\/4 in increasing order.\nAnswer: -1\/2, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 316029116*x - 519835583 wrt x?\nAnswer: 316029116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -1. Let a = -20 + y. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5))**(23\/4))**(3\/10) assuming t is positive.\nAnswer: t**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*r - 8 = 0, x - 3*r = 2*r - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 710, -5, -1\/6, -2, 1, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 121*-896\nAnswer: -108416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3421, -6896, -10371, -13846, -17321, -20796?\nAnswer: -24271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072 and 1512.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6590166 divided by -682?\nAnswer: -9663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2600.2 - 225.2. Let a = q - 2374.97946. What is a rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435431787 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 17*u + 28. Let i(y) be the first derivative of 0*y + 0*y**u + 12 + 23\/5*y**5 - 15\/2*y**2 + 0*y**3. Find the second derivative of i(n) wrt n.\nAnswer: 276*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2018 divide 2219894846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 3. Suppose -12 = 5*j - 3*j. What is q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55096668?\nAnswer: 2, 3, 11, 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575\/(-2450)*62524\/(-693)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -699, -706, -713, -720, -727, -734?\n\"Answer: -7*y - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, w: 2, l: 1, g: 2}. What is prob of sequence nl?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4, 2*u = -5*v - 11 + 28 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 1. Let i(t) = -327 + 3*t - 5*t**3 + 113 + 2*t**3 + 108 + 110 - 6*t**2. Give -i(d) - 6*z(d).\nAnswer: 3*d**3 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 0.5, 112, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.28 - 50.28. Which is the nearest to 2? (a) u (b) -2\/9 (c) 124.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40990808, -81981616, -122972424, -163963232, -204954040?\nAnswer: -245944848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 6, -4*z + 205 + 551 = 5*m. What is the remainder when 207 is divided by m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8777?\nAnswer: 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -230698 + 0.01?\nAnswer: -230697.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 78*a**2 - a**3 + 5 - 77*a**2 - 4. Let c(y) be the second derivative of -y**5\/4 + y**4\/2 + 4*y**2 + y. Give -6*b(x) + c(x).\nAnswer: x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -7 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 30, 50, 72?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2723*w**4 - 2*w**3 - 66*w - 58814332 wrt w.\nAnswer: -10892*w**3 - 6*w**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-192)*-4*((-84)\/(-112))\/(30\/32).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 - (-5 + 1). Suppose n - 5*v = -3*n + 102, 3*v + 50 = d*n. Let g = 5 + n. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15275\/12 - 1271. Find the common denominator of -7*(-81)\/1323*(2 + (-34)\/4) and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*s + 51. Let p(q) = -253*q**2 + 55*q. Let d(t) = 14*t**2 - 3*t. Suppose -43*r + 97 + 81 - 49 = 0. Determine r*p(w) + s*d(w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) 0.044 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/3, 5, -22, -0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-9 + 12))\/(-1*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/5)*g*g*(g\/g**(3\/8))\/g*g**(2\/15)\/(g*g\/g**(5\/2)) assuming g is positive.\nAnswer: g**(319\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9793 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.2792 in -1.6, -2, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404 - 931. Let a = p + 778. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -175524? (a) 1.5 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*z - 9. Let v(t) = t**3 + 10*t**2 + t + 12. Let b be v(-10). Suppose 0 = -2*w - 8, 0*o = -b*o + 5*w + 28. Sort o, z, -3.\nAnswer: -3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14553 by -9.\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (sqrt(363) + (sqrt(363) - 2*sqrt(363)*-1) - (2 + sqrt(363) + -2 + sqrt(363))) + 1)**2.\nAnswer: -44*sqrt(3) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 1 + 42*w**4 - 41*w**4 + 2*w - 3*w**3 in the form r*w + t*w**3 + j + b*w**4 + g*w**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 3*m**3 - 3*m**3)*(4 - 4 + 2)*(3 - 2 + 6).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774842 - 82366 = -66*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - 0) - ((23 - 4) + -25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.427145 tonnes?\nAnswer: 9427.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 0.11634, -1\/9?\nAnswer: 0.11634","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((594\/12)\/(-11))\/(171\/1026)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1690561399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1490 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let m(g) = -7*g - 6. Let k(d) = -m(d) - 6*o(d). Let a(f) = -2*f**2. Calculate a(k(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.225 + 0.725. What is the biggest value in -1\/4, 9, f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1539? (a) 0.5 (b) -15 (c) -622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -6. Let p be x\/(-6)*6\/4. Let s(h) = 1 - 2*h - 5 + 0 + 0. Give s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 19*g + 1397 = 0. Calculate the remainder when g is divided by 73.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j. Suppose -4*t = -5*l + 7, t - 17 = -j*t - 5*l. Let n(k) = 0*k**2 + k + k**t - 5*k. Determine n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 4*x**2 + 2*x + 3. Give b(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v + 9*v - 5*v - 1. Give w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18099075.\nAnswer: 3, 5, 241321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*o**3 + 32*o**3 + 63*o**3)*(-6*o + o + 3*o).\nAnswer: -138*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 5. Let i = 12 + -6. Let h be m(i). Suppose -2*p + 11 = -h. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 7*t + 2, 2*x = 5*t + 4. Let q be (-1)\/(6\/4)*-1. What is the closest to q in 1, 0.2, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 40 = 32. Let r(u) be the second derivative of 2*u**3 - 30*u**2 - 43*u. Let t be r(5). Solve 4*n = -3*g - a, 0*n + n + 3 = t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2332645808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 v when three letters picked without replacement from {s: 7, v: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 + -272. Let j be (v - 84\/(-12))\/(1*-1). Solve 2*a - j + 9 = d, 5*d + 45 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9824 and 1535.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 12 = 0. Suppose 5*l - 2*i + 14 = 0, -g*l - 4 + 0 = -4*i. Let d(f) = -10*f - 1. Is d(l) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 3*z**5\/80 - 11*z**4\/16 + 3*z**3 + 27*z**2\/2 + 13*z - 65. Let u(q) be the first derivative of s(q). Factor u(p).\nAnswer: 3*(p - 6)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59d (base 14) in base 15?\nAnswer: 4e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/6 - 5*q**2\/2 + 2*q. What is the first derivative of w(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiirriiiii. What is prob of sequence rii?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/2 + 122*v + 723\/2 = 0.\nAnswer: -241, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208337605?\nAnswer: 5, 7, 41, 47, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 232?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -511*t**4 + 97*t**4 + 163*t**4 - 8*t**4 + 6*t**4 - 13*t**4 + (1 + 2 - 1)*(-t**4 + 0 + 0).\nAnswer: -268*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m + 4. Let p(o) = -o - 5 + 8*o - 3*o + 0*o + 3*o. Calculate -5*c(w) - 4*p(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2068374.\nAnswer: 6205122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989034 to the power of 1\/2, to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 5729.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546402 (base 9) to base 3.\nAnswer: 121120110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 77*y**2 - 148*y + 6. What is h(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -2*i - q + 366, -1925 = -4*i + 5*q. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33881, 67885, 101873, 135845, 169801, 203741, 237665?\n\"Answer: -8*p**2 + 34028*p - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1431 and 2173.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240944.\nAnswer: 2, 7, 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2213605 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4 - 0)\/(231\/1747878). Let m = 3774 + j. Is -8 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/7 and 1*-8*-6*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-6 + (0 - -18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2886268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 902 and 17677.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-18)\/(-58))*((-372)\/(-217))\/((-32)\/28).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)\/(t*t\/t**(2\/3)))**(4\/23)*(t*t*t**(-6)*t)\/t**(-5\/3)*(t**0*t)**32 assuming t is positive.\nAnswer: t**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23363 and 2681.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/10*16\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5 + 2*u - 16 + 5 - 18. Give y(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:39 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-8)*(-5)\/14?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 701 = 5*j, 0 = 4074*j - 4069*j - 2*m - 729. Suppose -136 = -5*c + c. Let r = -16 + c. Calculate the remainder when j is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3141, -3147, -3157, -3171, -3189?\n\"Answer: -2*u**2 - 3139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*d + 15, 0 = -b - 4*b + 3*d - 15. Suppose b = -5*f + 39 + 66. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*x - 7, 33*x - 45 = 28*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1078\/1896309 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213 (base 15) to base 8.\nAnswer: -16062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -45*t + 180. What is the lowest common multiple of 14 and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4, -3 in increasing order.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5335, 4\/5, 5, 0.4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**3 + 13*a**3 + 3*a**4)*(-3*a - 7*a + 4*a) - 41177*a**3 - 9*a**5 + 41177*a**3.\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmn when four letters picked without replacement from {m: 3, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217\/93 + (-9)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 2. Let h = o - 1. Solve 3*j = h*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56436 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, -2, 0.1, 17.\nAnswer: -23, -2, -1, 0.1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 17 = h + 2*h, -4*j = 3*h + 16. Let y(p) = -p**3 - 18*p**2 + 40*p. Let d be y(-20). Sort 6, 3, d, h in ascending order.\nAnswer: h, d, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 145*f + 99003. Determine z(395).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 450004*f\/11 + 25312950002\/11.\nAnswer: 2*(f - 112501)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o. Let d be w(0). Let j(n) = -4 + n**3 + 0*n**2 + n**2 + n + 0*n**2. Calculate j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2229 and 4.\nAnswer: 3.7771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5827776 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273 - -274.7. Let d = 13 - 9. Which is the nearest to -0.1? (a) -0.3 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-112) - (-10574)\/(-119)*1\/11 - -8.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4549063.\nAnswer: 479, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 10783?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1115 + -1111. Let i be 2\/(-3) - (-11)\/6. Sort 0.2, c, i, 2 in ascending order.\nAnswer: 0.2, i, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 22 = 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 69, 122, 185, 252, 317?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.073377+-1.4\nAnswer: -1.473377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*o - 7 = 2*o, 4*s - 20 = -2*o. Let g(b) = 8*b**2 - 8*b. Let f be g(s). Calculate the greatest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 437*x**2 + 0 + 1 - 22*x**2 + 0. Let p be z(1). What are the prime factors of p\/24 - (-1)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2361 or 2360?\nAnswer: 2361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291519.\nAnswer: 3, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 3*u + 8. Suppose u*b - 27 + 9 = 0. Solve -3*n + b = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 1:04 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18790349 is divided by 2684334?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -28) + 0 - (1178\/(-247) - (-6)\/(-26))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/16189 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 92\/11*o**3 - 70\/11*o**5 - 400\/11*o - 302\/11*o**4 + 56*o**2 + 64\/11 = 0. What is o?\nAnswer: -4, -2, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2*o)\/(o*o**(-6)))\/(o\/o**6*o**11) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 2*t - 7*t**2 + 8*t**2 + 10. Let d be m(0). Suppose 0*q - d = -q + 2*n, -2*n = -3*q + 26. Solve 2*s = 2*z, 3*z + 0*s + q = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 + 30*s - 5. Let g be o(5). Let c = g + -9. Let m = c - 33. Solve 0 = -5*f + m*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1839.\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 610563, 610565, 610567, 610569, 610571?\nAnswer: 610573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 513 - 1573. Is (3\/2)\/((-6)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 7*s**2 + 5*s + 3. Let o be ((-12)\/10)\/((-4)\/(-20)). What is the units digit of v(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -973869\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0543719 to three decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -906.2 + 797. Let o = m + 100. What is o rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271796 is divided by 5432.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-231)\/(-18) - 1\/(-6). Is (o*2)\/(2 - 60\/33) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 669 and 157809741?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 (base 8) in base 9?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j - 3. Determine c(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223a2 (base 13) to base 12.\nAnswer: 18aa08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 11*z**3 - 10 + 1 + 8.\nAnswer: -19*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 216168 = 6*f. Let p = f + -41958. What is p rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2. Let x(d) = -d**2 + 70*d + 470. Give x(t(a)).\nAnswer: -9*a**4 + 210*a**2 + 470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2*s**2 + 3*s**2 + 0*s - 8 - s. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) + sqrt(2541)*-1)*2)\/(sqrt(63)*4*-4)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7 - 5 - 1 - v. Let d(u) = 4*u - 4. Calculate -d(c) - 3*w(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/5 and -89\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1852*f - 1852*f - 5*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.044 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 9, 4, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = -9. Let q(w) = w. Let d be q(5). Suppose 5*s - d*r = -r + 53, -4*r = -4*s + 44. What is the highest common divisor of v and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 981 + -331. Is l a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 s, and 1 t when four letters picked without replacement from {s: 5, o: 5, t: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Suppose d = 8*c - 6*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0966 to 3 decimal places.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2723905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**3\/3 + 2*k**2 + 10*k - 11. Let l be h(-6). What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-223)\/(-4))\/((-3)\/(-300)). Is (6\/(-15))\/((-5)\/n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -30 + 0 + (-12)\/(-3). Let n be 5\/(-10) + m\/(-4). Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -32\/21*l**3 + 0 - 1\/105*l**5 - 4\/21*l**4 + 0*l - 16*l**2. Factor w(x).\nAnswer: -4*(x + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(1*4\/4). Let d = c + -2. Let n(k) = -k + 39. What is the units digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*z = 54*z + 69*z + 51. Sort -3, 17, 2, 5, z in descending order.\nAnswer: 17, 5, z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, a: 4, g: 3}. What is prob of sequence kk?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -376*z + 8. Let l(b) = b. Let t(w) = -h(w) - 6*l(w). Let a be t(6). Let x = 7712 - a. Round x to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967898 is divided by 2204.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*y + 39, -p - 3*p = -y - 34. Calculate the lowest common multiple of p and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/52 + (-2)\/(-16). Which is the second smallest value? (a) 3 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/2))\/u**(-2\/13))**(-5\/9)\/((u*u**(1\/2))\/u**(-3)*(u\/(u\/u**(3\/8)*u))\/(u\/(u**1*u*u*u))) assuming u is positive.\nAnswer: u**(-7295\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63142706919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 - 367*t**3\/2 + 44061*t**2\/2 - 1693457*t\/2 - 1783055 = 0. Calculate t.\nAnswer: -2, 95, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -b - 16, -m - 29 = 5*b + 27. Let p be -3 + 0 - (6 + b). Suppose f + p*i - 8 = 0, -2 = -2*f - 2*i + 8. Solve 0 = s - f - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + (sqrt(85) - (sqrt(85) - (sqrt(85) + -3*(2*sqrt(85) - sqrt(85))))))\/(sqrt(50)\/(sqrt(10)*2 + sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*s - 38*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 7*a + 27*a to the form z*a + v and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + 1. Let c be q(-4). Let g be (-1)\/(c - 12\/15). What is the common denominator of 80\/(-25)*g\/(-3) and -69\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588\/784 + ((-5)\/4)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let g(m) = m**3 - 5*m**2 + 5*m - 4. Let n be g(4). Let r(q) be the first derivative of -1 + n*q - 2\/3*q**3 + 0*q**2. Give w(r(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2022324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -13*q**2 - 317*q + 10. Let t(h) = 4*h**2 + 105*h - 3. Calculate -2*n(d) - 7*t(d).\nAnswer: -2*d**2 - 101*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*a = -7*v + 2, -5*v + 20 = a. Let m(k) = 5*k**3 + k + 10*k**3 - 5*k**v. Give m(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 5, -2, -1.06, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 6. Let z be x(6). Solve 0*w - 5*w = z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 2*d**3 + 0*d**3 + (-840*d + 10*d**2 + 840*d - 2)*(4*d - 16 + 16) - d + d - 6*d**3 in the form j*d**3 + f + b*d**2 + h*d and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8848, -17778, -26708, -35638, -44568?\n\"Answer: -8930*m + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 26 = -w, 3*w + a = -0*a + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5736, 22827, 51286, 91113, 142308, 204871, 278802?\n\"Answer: 5684*y**2 + 39*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c7f + 2?\nAnswer: -1c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*q**2*v + 34*q**2 - q*v + 8*q + v + 861012 wrt q?\nAnswer: -106*q*v + 68*q - v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/72)\/((-1)\/4). Suppose o - g*t - 10 = 2*t, -3*o - 3*t = -30. Suppose o*r - 8*r = -840. What is r rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2\/3 (c) -6 (d) 0.14 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50, -105, -160, -215, -270?\n\"Answer: -55*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 19. Let w = -8 + l. Which is the smallest value? (a) 2\/15 (b) 2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983961.\nAnswer: 3, 11, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m + 15*m. Let s(l) be the second derivative of 0*l**3 + 7*l + m + 1\/20*l**4 + 1\/50*l**6 + 0*l**2 + 3\/50*l**5. Let s(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5*a - 4. Let n be c(8). Suppose 0 = -4*m + n - 4. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = n + 5*n. What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2 and 107\/1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 106, 153, 196, 235, 270?\n\"Answer: -2*a**2 + 57*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -5056?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(192)*6 - (sqrt(192)*-2 + -3)) + 3.\nAnswer: 6 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*q = -2, 4*q - 2 + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 28*u**2 + 23*u - 10. Let n be o(15). Let r = n - -30995\/12. What is the common denominator of 35\/26 and r?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36291 is divided by 1352?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7494 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 8. Let t(s) = -429*s + 52. Let g(z) = 41*z - 5. Let k(y) = 52*g(y) + 5*t(y). Determine k(w(q)).\nAnswer: 13*q**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 5 - 5)*(-v + 0*v - v) + (-531*v**2 - 58*v**2 + 262*v**2)*(2 + 1 + 8) to t + o*v + k*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 60. Let b(y) = -35*y. Let h(t) = -18*t. Let o(a) = 5*b(a) - 10*h(a). Determine x(o(z)).\nAnswer: -25*z + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 - 182\/(-35). Suppose -5*v - t = 2*s, 5*v + 2*s + 5 = -s. Are -2\/191 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4\/5 - 4208*m**3\/5 - 111714*m**2\/5 - 177292*m\/5 - 69792\/5 = 0. What is m?\nAnswer: -24, -1, -2\/3, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 12. Let h be x(-9). Let q be h\/27 - (-1)\/(-18). What is the closest to -2\/3 in q, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**0*r*r)**(27\/2)*(r\/(r\/r**0))**(4\/13) assuming r is positive.\nAnswer: r**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 1\/10 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1632 and 208?\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 10*x - 9. Let g be w(8). Let u(l) = -l**2 + 6*l + 9. Let n be u(g). Solve -8 - n = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/25886 and 24\/20339?\nAnswer: 284746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 86 + 48 - 9435*w.\nAnswer: -9435*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2452 (b) -0.4 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 75 = -509. Let u = -204 - m. What is the biggest value in u, -0.3, -1\/3, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-252)*-7*((-16)\/(-12))\/(6\/54).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243411362 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -5*h**4\/4 - 43*h**3\/3 + 319*h**2\/2 - h + 574. What is the second derivative of l(d) wrt d?\nAnswer: -30*d - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2499995 times -0.07?\nAnswer: 174999.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/7, -0.5, -1230, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, -2\/7, -0.5, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 + 137205?\nAnswer: 137122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11445101286 and 49282.\nAnswer: 11445150568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + -1)*-6 + (sqrt(22) - sqrt(198))\/sqrt(2)*1.\nAnswer: -18 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-14 - (-16 - (-11 + 4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352798801?\nAnswer: 352798801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/635 + 408\/144145. Let g = -3850\/2043 - j. Calculate the common denominator of 7\/10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-29)\/3045)\/(4\/(-20)*4)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 - 4*y**5 - 2*y**5 + (-2*y**2 - y**2 + 2*y**2)*(-11231*y**2 + 3297*y**3 + 11231*y**2).\nAnswer: -3299*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.852 * -0.062\nAnswer: 0.052824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 5:12 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.59611 to one decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/3330 and -31\/99?\nAnswer: 36630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(68) - (sqrt(68) - -1*sqrt(68))*-4 - sqrt(68) - sqrt(68))\/(sqrt(4) - (6*sqrt(12))\/sqrt(3)) + 0 + 2).\nAnswer: -21*sqrt(17)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m. Let r(w) = -5*w. Let y be -6 + 3 + 2\/2. Determine y*s(h) - 3*r(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let m = -4 + 4. Let d(f) be the second derivative of 2*f - 1\/3*f**3 + 0 + m*f**2. Calculate d(n(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 414 in -2\/5, 0.5, -1117, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*p = -108*p + 196 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0*b**6 - 5*b**2 + 0*b**5 + 0*b - 1\/12*b**4 + 0*b**3 + 0 - 1\/105*b**7. What is the second derivative of q(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2734793 + 2*b - 2734793.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 0, 4*z + 10*b = 14*b + 1228. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-1 - -4) + 0 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + (-4 + 1 - -1). Suppose -5*w + h = -4*h - q, -4*w - h = -23. Let r(j) = 10 + w*j**2 - 2*j**2 - 9 + 2*j. Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-322)\/(-4) + (-6)\/(-12). Let o(c) = -3*c + 3. Let h be o(-4). Let l be w\/h - (-4)\/(-10). Solve -5 = -2*x - l*b, -3*x + 2 = -b + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + m**3 + 7930 - 15829 + 7899.\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19131344069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 15*o**4 - 17*o**4 - o**2 - 1)*(2*o + 2 - 2).\nAnswer: -4*o**5 - 2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 731277524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 294 = -2*f - 4*q, -5*f + 3*q = -293. Let t be 12 - (-2 - -6) - 132. Let m = f - t. What are the prime factors of m?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164.6 + -159.6. Put b, 1.8, -22 in increasing order.\nAnswer: -22, 1.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 1, l: 1, j: 1, y: 1, e: 1}. Give prob of sequence jn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3 + 9. Solve z*a = -a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/7, -84\/11?\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = g, 313*g = 3*u + 317*g - 17. Solve u*h = 7*h - 3*b - 4, -5*b + 4 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4 + 1\/2. Suppose -v*k = a - 5, a - 1 = -2*k + 4*a. What is the least common multiple of 3\/2 - (-7)\/14 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/(j*j\/j**(-8\/9)*j))\/(j**(-22))**(10\/9) assuming j is positive.\nAnswer: j**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*n*n**(-21) assuming n is positive.\nAnswer: n**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19934443063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51342716.786 from 1.\nAnswer: 51342717.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 207777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(-17)\/(-2975)*20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*m - 2379644, 29*m + 2*o - 594911 = 28*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {q: 3, t: 5, p: 1, j: 3, e: 1, z: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -24*m - 12*m - 387 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/3 - 112*j\/9 + 38\/9 = 0. Calculate j.\nAnswer: -19, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 45 = -5*p, 13411*c - 13412*c + 6*p = 55 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1) + -1*10. Let b(h) = h + 12. Let c be b(f). Suppose 54 = 3*s - c*u, 3*u + 3 = -0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -617, -0.1 in ascending order.\nAnswer: -617, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 116 - 28 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 + 28515*f**2 + 7086*f - 99792.\nAnswer: 3*(f + 2)*(f + 2376)*(4*f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + d**2 + d. Let g(r) = r**3 + 2*r**2 + 2*r - 1. Calculate -2*g(k) + 4*t(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371700 and 18270.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -688*u + 684*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(3 + -4*(sqrt(21)\/sqrt(147) + 1)*-1)**2.\nAnswer: -2161\/7 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11350379 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2290 - b9c?\nAnswer: -315c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -34*g + 134. Determine j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312550290 divided by -924705.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 451859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50\/3*v**2 - 10\/3*v**3 + 5\/3*v - 25\/3 + 5\/3*v**5 - 25\/3*v**4 = 0 for v.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5628822, 5628534, 5628054, 5627382, 5626518, 5625462, 5624214?\nAnswer: 5622774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329 and 2115?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 4*s**5 - 4*s + 0*s + 5*s**3 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 4*a - 4*u, -u = -3*a + 4. Suppose -a*s + s = 0. Solve s = -2*h - 2*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1231452514 (base 6) to base 9\nAnswer: 30018361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 54 = -26*x. Solve -3*f - 5 = -0*f - 5*u, -2*u + 23 = x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 + 191671*o - 12079242 = 0. What is o?\nAnswer: -191734, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2*(-1 - 0). Let v(i) be the first derivative of i**3\/3 + i**2\/2 + 13*i - 252. Calculate v(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 1 + 1)*(2*r**2 - r**2 - 4*r**2).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(11) + sqrt(11))*-4)**2*3 + -5 + 0.\nAnswer: 8443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let a be (-1 + (-4)\/8)\/((-6)\/8). Let o(x) = -63*x**2 + 31*x**a + 37*x**2. Determine d(o(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4 + 5 + j - 5. Suppose -15 = v - 12. What is the least common multiple of c(v) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3997 - 0.4. What is q rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (7 - (15 + -16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 168795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004576 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 24*d**2 - 82*d - 18. Let k be p(-27). Let w be -1*362\/((-4)\/2). Suppose -k*f + 98 = -w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ab6d (base 14) in base 3?\nAnswer: 21100211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 845323 and 79269.69.\nAnswer: 924592.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3479? (a) 0 (b) 2 (c) -14\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 298*n**2 - 105*n - 15975. Give j(-149).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) + -1 - 0. Suppose -3*s + 7*s = 20. Suppose -r + 10 = -s*v + 4, v = -5*r - 22. Is v at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((5 + -1 + sqrt(1053) - sqrt(1053)) + 0)**2 - (4 + 1 + sqrt(1053) + -3 + sqrt(1053) + -2)**2).\nAnswer: -4193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -2\/13 (c) 0.2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**36)**(-43) assuming p is positive.\nAnswer: p**(-1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:01 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*g + 8. Let p = -5\/2 + 3. Determine a so that a - 1\/2 - p*a**g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -165, -222, -273, -318, -357, -390?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 384641*x + 6538900. Calculate c(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p**2 - 4*p + 2. Let k be s(4). Suppose -12 = 4*o - 7*o. Let d be ((-32)\/24)\/(o\/(-6)). Solve k*b = d*y - 6*y + 4, -4*b + 17 = -y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 88\/99 - (-1)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + -11. Let d = 59 + h. Solve 0 = 3*l - d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 475, 650, 895, 1210, 1595, 2050?\nAnswer: 2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2006*u - 24081. Determine h(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**2 - 11*h**2 - 13*h**2 + 9*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:14 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 19205 = -5*s, -4*f - 4*s = -9879 - 28549. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 61*z + 84. Let n be b(11). Let q = n + -752. Solve m = 4*w - 0*m - 1, 0 = q*w + 5*m - 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 458 divided by 10197\nAnswer: 458\/10197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 7. Let f be ((-15)\/10)\/((-6)\/8). Let c = f + 0. What is the lowest common multiple of c and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -8.56, 2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -981959.726 - 63.274. Let b = m + 982023.0600007. Let g = -0.06 + b. Round g to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 5) in base 10?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 504 = -121*p + 30*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 4*z + 2. Let f be l(6). Suppose -a - 2 = -3*a. What is the units digit of (-15)\/f*4\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8506031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -112 (c) 513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 50 in increasing order.\nAnswer: 0, 11, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1766)\/(-762) + 2064\/131064?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -10*t + 9*t + 4*u, 5*t + 19 = -4*u. Let c(p) = 39*p**2 + 7*p + 5. Let k(y) = -20*y**2 - 4*y - 3. What is t*c(g) - 5*k(g)?\nAnswer: -17*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 3276?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2)\/(1\/(-3)). Let z(n) be the third derivative of 2*n**2 + 1\/24*n**4 + 0 + 0*n**l + 0*n. Let m(u) = u**2. What is z(m(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from awwaauuwwa.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 + -4. Let i be (94 + (-89556)\/952)\/((-4)\/(-42)*3). What is the biggest value in 0.3, s, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33 - 176 - 63 - 7*r**2 - 59*r + 8*r**2 wrt r?\nAnswer: 2*r - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:33 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 882634 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*y**3 + 387*y**3 + 154*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by -129.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let f be c(2). Suppose -94*o + 184 + 34 = -64. Solve -z - 14 = 2*q + f, -o*z + q = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/(-78))\/((-1)\/(-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9625, -19250, -28875, -38500, -48125?\nAnswer: -57750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/155 and -34\/35?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249 - -444. What is the highest common factor of 78 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190a3 (base 12) to base 16\nAnswer: -8e3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k - 80 = 66*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1917*q - 213619. What is x(111)?\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 17 + 6 + 11. Let d(x) = 64*x**2 - x + 2. Let r(k) = d(k) + 3*s(k). What are the prime factors of r(1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -393, -891, -1413, -1959, -2529?\n\"Answer: -12*n**2 - 462*n + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z + 72. Let a(m) = 12*m - 72. Give 4*a(s) + 5*j(s).\nAnswer: -2*s + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23517, 53101, 88749, 130461, 178237, 232077?\nAnswer: 291981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((186\/8)\/(-31))\/(14\/52)*7\/6?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38781870 a multiple of 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1149 + 56276\/49. Let a be (5\/245)\/((-7)\/21). Let i = f + a. What is the second biggest value in i, -3\/7, 1, -3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87531757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 14. Let v be n(-19). Let j be (3 + -10 - v)\/(1\/(-13)). Let x = j + -655. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 - 4580*n**3\/7 + 2622050*n**2\/7.\nAnswer: 2*n**2*(n - 1145)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 29 = 5*h, -14 = 28*h - 26*h + 2*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 35. Let s be (-10)\/(-3)*18\/p. Suppose -5*a + 13 = 2*d + d, s*d + 5*a = 24. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 9*i - 7. Let v be x(10). Suppose -v*h = -h. Factor -1\/4*g**3 + 0*g**2 + 0*g + h - 1\/4*g**4.\nAnswer: -g**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838233 is divided by 304?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 12*b**2 + 13*b + 5. Let z be w(-13). Suppose 5*h - q = -6*q + 170, -2*h = -z*q - 103. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 12.5. Let n = i + -9.8. Put n, -2\/5, -1\/7 in decreasing order.\nAnswer: n, -1\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9623 + -6.0377. Let i(n) = n + 7. Let m be i(-3). Suppose -v = v - m. What is the nearest to r in -1, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*c**4\/5 - 8097*c**3\/5 + 49035*c**2 - 75423*c\/5 - 161646\/5 = 0. Calculate c.\nAnswer: -929, -2\/3, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k + 52. Determine j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6300 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.7 - -11. Let y = -192 - -1342\/7. Sort -3, y, s in ascending order.\nAnswer: -3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 - 57*q**2 - 73*q - 637. Determine p(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -35*q - 311. Let n be i(-9). Put n, 5, 2, 1, 107 in decreasing order.\nAnswer: 107, 5, n, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52954\/36505 - 72\/49. Find the common denominator of -97\/1192 and v.\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c3 (base 14) to base 15.\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 + 554 - 128 = 69*k. Solve 0 = -2*i - 4*z + k, -5*i - 1 + 12 = -z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 5*f + 6. Let r be h(-5). Let c be (-1)\/(4\/(-706)) - (-276)\/(-184). Let n = r + c. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q + 0*q)*(2 + 4 - 4 - 1 - 3 + 2 + (0 + 1 + 1)*(-2 - 1 + 1) - 1 + 2 - 3 + 1 + 2 - 5 + 2 - 3 - 1 - 4 - 2 + 4 + 0 - 2 + 3)*(0*q + 2*q - q).\nAnswer: -55*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*p = -272*p + 95*p - 720380. Is p smaller than -1992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1377)*-4*5 + -3 + sqrt(1377) + -3)*1 + -2)**2.\nAnswer: 1710*sqrt(17) + 497122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 67 - 60) + -29.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127632 (base 8) to base 10.\nAnswer: -44954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 175668.\nAnswer: 351336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + d**3 + 3)*(0*d - 4*d + 5*d) + d**3 - d**2 - d - 9418 + d**4 + 4917 + 4518 in the form q*d**4 + f*d + a*d**2 + y*d**3 + p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03870608 and 3.\nAnswer: -0.11611824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.14 * -0.1.\nAnswer: -1.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4))**(1\/27)*u\/u**(-10)*u*u*u\/((u\/(u\/(u*u**(-2\/19))))\/u)*u*u assuming u is positive.\nAnswer: u**(11035\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**6\/360 + 7*s**3\/3 - 6. Let l(z) be the third derivative of g(z). Let b(d) = -4*d. Give b(l(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -58. Suppose -3*k + 72 = -k + 2*d, 210 = l*k - d. Calculate the remainder when 122 is divided by k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*y + 5 + 9, 4*y + 11 = -3*x. Suppose 0 = j - x*j. Suppose j = 2*t - t - 55. Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 r when four letters picked without replacement from nnrrhrrrrrrrtnrh?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-310431)\/(-132) - (-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*i + 3*i. What is the units digit of 1*i\/(-2)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68702 divided by 19\nAnswer: 68702\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 27 + 12 + 13 + 9 + 148*b**2 + 21.\nAnswer: 148*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose -v = 4*x - 14, 3*x + 4*v + 3 = 7. Solve 0 = -4*w - 5*s + 3, 2*s + 5 + x = -l*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 501?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**2. Let u(o) = 3203317*o**2. Calculate c(u(x)).\nAnswer: 102612398024890*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgr when three letters picked without replacement from ggrrggr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3200)\/28000*63\/(-24).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023812 to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 4:18 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + 2)) + (-2 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.2 - 1. Let i = -0.8 - d. Let s = -72.8 - i. What is the third biggest value in 0, 3\/2, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3749*h**3 - 1987*h**2 + 3*h + 3. Let f(d) = -3736*d**3 + 1990*d**2 - 4*d - 4. Let m(i) = -4*c(i) - 3*f(i). Find the third derivative of m(s) wrt s.\nAnswer: -22728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13536*p + 21430. Let s(j) = 6768*j - 10711. Let c(z) = 6*r(z) + 11*s(z). Find the first derivative of c(k) wrt k.\nAnswer: -6768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4574*-0.01136.\nAnswer: 51.96064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j + 17 - 1 + 9*j + 6*j**2 + 2 + 1 as x*j + g + b*j**2 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2492, -1987, -594, 2131, 6632?\nAnswer: 13353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:19 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 4*l - 31. Let u be n(8). What is the nearest to u in -6, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819\/(-15834)*4\/3.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0*d**5 - 5\/24*d**4 + 0*d**3 - 13\/120*d**6 + 0*d - 11*d**2 + 0. What is the second derivative of y(g) wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229468 is divided by 568?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -64\/7*o + 4\/7*o**3 - 12\/7*o**2 - 48\/7 = 0. Calculate o.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*-4*(sqrt(99) + (sqrt(99)*2 - sqrt(99)) + sqrt(99)))\/(-1*sqrt(225) + sqrt(225) - (sqrt(9) + (sqrt(324)*-2 - sqrt(324)))).\nAnswer: -60*sqrt(11)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1))**(-4\/29)*(u**0)**28 assuming u is positive.\nAnswer: u**(-8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-46)*16\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 5. Let i(l) = l - 1. Let r be i(-6). Let b be c(r). Is b greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y. Suppose -6*q + 28 = -8. Let u(o) = o - 8. Let r be u(q). Sort -5, -7, r, y in ascending order.\nAnswer: -7, -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 18 - 0)*(-4)\/110. Which is the nearest to -1\/2? (a) 2 (b) -4 (c) 5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.899292 + -7.9. Round y to five decimal places.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 223780\/((((-35)\/(-4))\/7)\/(-5)). What is f rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -164 - -13060?\nAnswer: 12deb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 86*p**3 + 2*p**2 - 11*p - 18. Determine y(-2).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:02 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20 and 310.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + -5)**2.\nAnswer: -200*sqrt(5) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 18\/(-20))\/((-22)\/(-132)). Which is the closest to 2\/3? (a) 0.5 (b) -2\/15 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*v = 17, -y = -5*y + 2*v + 138. Let n = 28 + y. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10241 and -37\/38577.\nAnswer: 5130741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1028 + 5*b**5 - 512 - 4*b**5 - 516 + 203*b**4 - 170*b**2 wrt b.\nAnswer: 60*b**2 + 4872*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4170, -8239, -12306, -16371, -20434?\n\"Answer: m**2 - 4072*m - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -113, -311, -629, -1091?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 10 + m - 10*m**2 - 2*m**2 + 1 + 3. Let u be n(-12). Let l be 0\/(u*(-2 - -3)). Solve 2*x = -o - 6, l = -2*x - 2*o - 0 - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*d**2*l**3 + 407*d**2 - 306*d*l**3 + 271*l**2 wrt l.\nAnswer: 954*d**2 - 1836*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let z(p) = -20*p - 9. Let a(d) = 7*d + 3. Let x(n) = -17*a(n) - 6*z(n). Let f be x(0). Let s(g) = f*g - 3*g - 4*g**2. What is c(s(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 738 and -10135.\nAnswer: -7479630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 30. Find the first derivative of -r + 58*t + 7*t**2 - 58*t wrt t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-10)*6\/216*45.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 181, 176, 169, 160, 149, 136?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.63 - -8.73. Let z = 6.2 - y. Are 3 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53954 divided by -5.\nAnswer: -53954\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*c - 14 + 2, 0 = -c + 3*g + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Suppose -q*i + 188 = -0*i. What is the remainder when i is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-476)\/(-1428)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2589 = -79. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {n: 1, h: 1, b: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from {w: 17, x: 3}?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 7, -53, -1, -2011.\nAnswer: -2011, -53, -5, -3, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5691 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: Which is the nearest to 1? (a) 4\/9 (b) 5\/6 (c) -2\/59 (d) -1\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 15. Suppose -h*l + 4*l = 33. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*p + 21*p + 21 = 177. Sort 4\/5, p, 5, 1\/3, 7.\nAnswer: p, 1\/3, 4\/5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 - 277*r + 2538. Determine z(10).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 287 = 5*c, -2*c + p - 229 = -6*c. Does 39 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let h(m) = 209*m. Let t(j) = 77*j - 19*j - 20*j - 23*j. Let f(l) = -4*h(l) + 57*t(l). Determine f(u(g)).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 826.8008898 - 826.8. What is k rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210 + -210. Suppose z = -8*f + 2*f. Solve f = -9*i + 6*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (10 + -95) - (4 + (13 - 2) + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1407215, 2814395, 4221539, 5628647, 7035719, 8442755, 9849755?\nAnswer: 11256719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4532*w**2 + 64*w - 901. Is a(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/((-114)\/(-133))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 + (-945)\/(-297) - (6 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 688, 2731, 6136, 10903, 17032, 24523?\n\"Answer: 681*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -2*i - 8. Suppose 0 = 4*g - 5*j - 84, 2*g + 4*j - i = 31. Calculate the highest common factor of g and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/2275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2*(-3)\/(-6). Suppose 2*j + 37 + 7 = q. What is the tens digit of 15\/10*j\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 - 9*m**2 - 15*m - 13. Let u be 1*-4 - 16\/((-64)\/852). Let t = 196 - u. Let i(w) = 4*w**3 - 4*w**2 - 7*w - 6. Determine t*i(x) + 6*g(x).\nAnswer: 2*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 63 (c) -4\/717\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77480, 311642, 701910, 1248284?\nAnswer: 1950764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2. Let g(b) = -b**2 + 8*b - 5. Let o be g(7). Suppose -6*k + 3*k = -4*m - 217, k - 59 = 4*m. Let v(d) = 79*d - k*d - 2*d**o. What is v(z(c))?\nAnswer: -128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5265666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose 1 = -v - 5*h, 3*v = -0*v - q*h + 19. What is the greatest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -1. Let d be 208\/(-56) + -2 + 6. Which is the nearest to d? (a) 1 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from gyatzss?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33502336 and 448?\nAnswer: 33502336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28973876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.9814259 minutes to weeks.\nAnswer: 0.000791808125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 = -4*m + 8, -3*s - 1 = -m. Suppose 0*v = v + j + 66, -4*v - 282 = -2*j. Does 9 divide v\/(-3)*1\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*d - 40 = 0, 2*v + 76 = -3*d - 56. Calculate the remainder when (66\/(-5))\/(24\/v) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g*q**2*r**3 - 3*g*q*r - 8*g*r**3 - 6*q**4*r + 5*r**3 + 4*r**2 wrt q?\nAnswer: 8*g*q*r**3 - 3*g*r - 24*q**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.021834um to meters.\nAnswer: 0.000000021834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322892, -645787, -968682?\nAnswer: -1291577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49389772 is divided by 2334?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 11:38 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/2325)\/((-650)\/(-625)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/69)*x*x)*x*(x\/(x*x**(-38)))\/x*x)**(-49) assuming x is positive.\nAnswer: x**(-128576\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 6. Let z be 1*2 + (b - 2). Suppose i + z*i - 3 = -j, 0 = j + 4*i - 4. Solve -a + j*v = 2*v - 3, 3*v = -3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64369 is divided by 503?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 37 = -5*l, -14 = -53*l + 51*l + 2*m. What is the nearest to -2 in l, -0.1, 4, -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 23 + 3 = 0. Let b be q\/(-21) + 12\/28. Let -1\/3*k**2 + k - b = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4080 divided by -3.\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d0c (base 15) to base 10.\nAnswer: -23187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24253 + 10446?\nAnswer: 34699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 - 5. Suppose -2*t - i = 5*k, 13 + 92 = -3*k + 3*t. Let d = -21 - k. What is the greatest common divisor of 117 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 39255.\nAnswer: 4\/39255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -11*p + 39. Solve 8 = -3*h - 2*q, p*q - 4*q + 10 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71603818, -71603814, -71603810, -71603806, -71603802?\n\"Answer: 4*t - 71603822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 2*q**2 + 2. Let i be n(2). Let v(f) = 9*f**2 + 32*f**i - f - 6*f**2 + 0*f. Is 12 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 0*x**3 + x**3 + 13*x - 13*x + 6*x**3 - 20*x**3 + 11*x**2 - 11*x**2 + (-2 - 5 + 4)*(2*x**3 + 2*x**3 - 2*x**3).\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 26*z**2 - 27*z + 36. Let o be s(24). Suppose -4*i = -2*q - 156 + 516, 0 = 3*q + 3*i - o. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 times -0.716971?\nAnswer: -426.597745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/4739 - -151677\/137431. Is d < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 + 80*u**3 - 219996*u**2 + 24337984*u + 181168330 = 0. Calculate u.\nAnswer: -395, -7, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -10. Suppose -2*r - 6 = -6*r - 2*n, -5*n + 15 = -w*r. Suppose r = k - 2*k. Solve k = 2*p + 5*o, -3*p + 5*o - 14 - 11 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-17)\/3 - -5)\/((-1)\/15). What are the prime factors of g\/(-6) + (-822)\/(-18)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - -2428400222.\nAnswer: 2428400248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:14 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -70*h - 6. Let r(o) = -o**2. Give r(x(i)).\nAnswer: -4900*i**2 - 840*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*q - 3*q - 2*d, -2*d = -5*q + 11. Suppose -q*n = 2*l - 0 - 32, 2*n - 43 = -3*l. Calculate the greatest common factor of l and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2705431939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4915+3.18\nAnswer: 4918.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 1\/(-2). Suppose c*g = 5*g. Solve g*x - 10 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 135*z - 4805. Determine l(163).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6562, 12941, 19320, 25699?\nAnswer: 32078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c + 29 = -i + 50*c - 10, -5*c - 329 = 11*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6871, -22658, -48969, -85804, -133163, -191046?\n\"Answer: -5262*d**2 - d - 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -19*p**2 + p + 1. Calculate b(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + ((2*sqrt(171) - sqrt(171)) + sqrt(171) - sqrt(171)) + sqrt(171) - sqrt(171))*6)\/(sqrt(441) - -3*sqrt(441)))**2.\nAnswer: 171\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = r - 10*r. Suppose 0 = -5*x + 2*w - r + 36, 0 = -5*x - 2*w + 5. Solve -27 = -x*c + 3*b, -3*b + b = -3*c + 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4399 is divided by 2104?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*n = -685*n - 51*n + 23540 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.54*-4890546\nAnswer: 7531440.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -664*s**2 - 12*s + 594. Let z(f) = -266*f**2 - 5*f + 238. Let l(v) = -5*u(v) + 12*z(v). What is the first derivative of l(k) wrt k?\nAnswer: 256*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:28 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113 (b) 9 (c) -0.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/4 of a hour?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53563832.\nAnswer: 2, 7, 47, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 324 + 58 = 0. Suppose 5*h = 1 - 11, n = -4*m + 3*h. Let t = -96 - -89. Is t bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45387 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.51016 to two decimal places.\nAnswer: 4.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -36 (b) -2\/21 (c) 0 (d) 8 (e) 7 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 565 - 512. Calculate the highest common divisor of w and 1007.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(((g**(-2\/19)*g)\/g)\/g)\/g*g)\/(g\/g**(-24))*(g**(-4\/13)\/g)\/(g**(1\/14)*g) assuming g is positive.\nAnswer: g**(-95041\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 16419504 and 16419496 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/15)\/(z\/z**(7\/3)))\/(z\/(z*z**(2\/3)*z))**(1\/57) assuming z is positive.\nAnswer: z**(1279\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/3*51\/(-85). Suppose -212 = -y + 5*k, -5*y - b*k + 1285 = 360. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125364546 - 23?\nAnswer: 125364523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 9*z - 1344. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981910 is divided by 1232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 92821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((-29)\/290)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 11*r - 14*r - 24 = 0, 11*b = 5*r + 76 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 88 = -2*r. Put -1, -3, r in ascending order.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1623 + -9853\/6. Find the common denominator of -3\/3298 and f.\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-175)\/(-20))\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 187811261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -16*g + 52. Solve 2*i + 2 = -g*r - r, 5*i + 5*r = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*l + 144, 5*o - 5*l + 279 = 9*o. What is the least common multiple of 4 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125925 = 1489*s - 24119 + 50072 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {o: 1, l: 7, x: 2, j: 8}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 + 1.16. Let s = -0.72 + r. Which is the second smallest value? (a) 5\/3 (b) s (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/9 + -3*2\/(-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 20*d + 143 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2*q - 18. Let i be (4 + 2)*(-17)\/(-34). Let p be m(i). Let h(n) = -8*n - 2. What is h(p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a - 2*i, 2*a + 4*i + 6 - 18 = 0. Suppose -o = -3*g + 3 - 2, -5*o - a*g + 12 = 0. Solve -f - o*f = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183173\/153102 + 1\/3002. Find the common denominator of -97\/765 and l.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0571325 + 60.9427675. Let z = -61 + m. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3845*w**4*x - 14*w**3*x + 10*x + 13335 wrt w.\nAnswer: 15380*w**3*x - 42*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-1) - (-4)\/20*0. Let b be 115\/1 - (l + 10). What is the highest common divisor of b and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -166?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/198)\/(12\/(-3))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -38, -84, -156, -260?\n\"Answer: -s**3 - 4*s**2 - 7*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 9. Let y be t(8). Suppose 5*z - y + 2 = 0. Calculate the least common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/7)\/o)*o)\/o*o*o)**(-28) assuming o is positive.\nAnswer: o**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-105)\/(-294)*3\/(15\/(-4)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2224 = 3*v, -3716 = -38*v + 33*v - 4*k. Calculate the highest common factor of 440 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121425*i**4 - 218615*i**3 + 116658*i**2 - 19476*i + 8 = 0.\nAnswer: 2\/4857, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -6*u**5 + 11*u**4\/2 - 5762*u**3\/3 + 5720. Find the third derivative of k(c) wrt c.\nAnswer: -720*c + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.545268174 to 4 dps.\nAnswer: -1.5453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-154)\/(-8) + (-1)\/4. Let w = -6 + l. Suppose -3*m = -y + w, -3*y + 81 = 5*m - 0*m. Solve 4*a = -4*x + 28, 0 = -a - 0*x - 4*x + y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-229472)\/(-1491) - (3 + -6 - (-61)\/21). What is the highest common factor of 238 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79051 = 77406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = -2*k + 8, 3*c = -4*k + 14. Find w such that w**3 - 3*w + w**k + 3*w**4 + 3*w - w**5 - 4*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -29*t - 278. Let p(n) = -43*n - 417. Let w(i) = 5*p(i) - 8*y(i). Calculate the lowest common multiple of w(-7) and 86.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Suppose -33*g + 11 = -44*g. Which is the third smallest value? (a) -2 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-258)\/(-75))*(-15)\/6. Let o = m + 41\/10. What is the second smallest value in 1, o, 0.18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q - 38*q + 68 + 19*q + 53*q. Determine c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 91. What is the highest common divisor of r and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/96 - (-26550)\/(-288). Suppose 5*t - 2*t + 42 = 0. What is the hundreds digit of d\/5*105\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 - 169.12. Let j = 0.48 - s. Which is the smallest value? (a) -3 (b) 2 (c) j (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 18120 (c) 57.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -31*o**4 - 5*o**3 - 5*o**2 - 32. Let l(u) = -16*u**4 - 3*u**3 - 3*u**2 - 16. Let b(f) = -5*l(f) + 3*r(f). What is the derivative of b(g) wrt g?\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 - 57*n**3 - 3*n**2 + 57*n = 0 for n.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 195*q**2 - 36*q + 2. What is the remainder when z(1) is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 18*t - 1. Let w be s(8). Let c = -73 + w. Let z be -2 - c*(-6)\/9. Solve -d + z = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = -f. Let g(p) = -13*p + 3. Is g(f) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 267\/(-36) + (10\/6 - 0). Suppose 13 = -5*f - 17. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 108 + 111 = 0. Let c = o + -17. Suppose 55*l + 207 = c*l. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpnnj. What is prob of sequence np?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 700198*a**2 + 9803066*a + 34311074.\nAnswer: -2*(a - 350113)*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*j + 6 = 0, 181*x + 184*x = 366*x + 5*j + 4*j - 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61349 divided by -1?\nAnswer: 61349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 b, and 1 c when four letters picked without replacement from qcuqbuuuuuuquuuuqbb.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.13 - 0.27. Let t = 0.0208 - 25.3208. Let j = t - x. Round j to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136884 divided by -12444.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516327272 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.032 (b) -0.79 (c) 1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*x + 270*x = -32. Solve -4*c = -4*b + 16, b = x*c - 0*b + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 188 + 407*z**2 - 65 - 75 + 398.\nAnswer: 407*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 52, -6, 3, -12 in descending order.\nAnswer: 52, 10, 3, 1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -1053, -2663, -4927?\nAnswer: -7845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/20262 and -151\/16578.\nAnswer: 182358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-119)\/(-21))\/((-296)\/444)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 10) to base 16\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17487*-0.2.\nAnswer: -3497.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 2 - 1)*(-a**2 + 3*a**2 - a**2)*(-61*a + 23*a + 240*a + 308*a + 68*a) as v + y*a + z*a**3 + d*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*t**2 + 25\/6*t - 14\/3 - 1\/6*t**3 = 0. Calculate t.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 126*q + 82 = -322 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 299*s**3 + 46*s + 46. Let l(j) = -29*j**3 - 3 + 6*j**3 - 5*j + 2*j + 3*j**3. Determine 46*l(p) + 3*x(p).\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2951420 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: What is the ten thousands digit of 14139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 278546645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 387.6?\nAnswer: 386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 12 + 54. Suppose 3*u = a*u - 6. Solve y = u*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 30 = k, 4*a - 5 = 7*a + 2*k. Let g be 4\/a*(9 - 14). What is the second derivative of -54 - 7*i - g*i**4 + 54 + 0*i wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76) - (sqrt(76) + sqrt(76) + -1 + sqrt(76) + -2)) + sqrt(76) + sqrt(76) + 2 + 2)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -16. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klalwwpp. What is prob of sequence lpw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(33\/(-11)) - (-4)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 47*i + 154 = 0. Suppose -35 = -5*b + 5*p, -1 = i*p - 13*p. Calculate the greatest common divisor of 138 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, x: 5}. Give prob of picking 4 x.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 21*c**2 + 76*c + 12. Let w be k(10). Let a = 2341 - w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/204*(0 - 0)*-1. Suppose -13*b + 20 + 201 = t. Suppose 2*l - 99 = -l. What is the remainder when l is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*c - 3731 = 168*c. Suppose 4*f = -9*f - c. Is -40 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 11*y**2 - y + 32. Give t(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/9 and 4\/16*8*45\/(-102).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227457 and 4?\nAnswer: 909828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31545139 - -0.04.\nAnswer: -31545138.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 20 - 956. Calculate the remainder when d is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807745 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 0 = z, 0 = 4*k - 0*k + 3*z - 8. Let d(y) = -10*y - 25. Give d(k).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -20, -47, -84, -131, -188, -255?\n\"Answer: -5*l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11595000 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 13 + 33 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 90 = 3*p, 3*z = 5*p + 1949 - 1907. What is the lowest common multiple of 1340 and z?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -2781.\nAnswer: -2781.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - s**3\/6 - 3*s. Let o be t(1). Solve -3*m - 2*q + 4 = o, 4*q + 24 = 3*m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0)\/2 - -8. Suppose 2*v + 4*u = 4 + 2, -v = -u. Suppose 3*s + 4 = 5*a, 3*a - 5*s + 5 - v = 0. Solve -a*l - 2*l = -h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909813835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 25 = -b, q + 62*b = 64*b + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1821a5 - -13?\nAnswer: -182192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 2*t + 0*t)*(2 - t - 2)*(-1 + 0 - 4)*(2*t + 3*t - 3*t) in the form p*t**3 + l*t + k*t**2 + x and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50599, -101202, -151805, -202408, -253011?\n\"Answer: -50603*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34810.7527 - -34809. Let l = o - 0.247. Let r = l - -2. What is r rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.892624 millennia in months?\nAnswer: 10711.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3479 + -417479\/120. Let y(a) be the third derivative of -1\/24*a**4 + 0*a + 0*a**5 + a**2 + 0 + m*a**6 + 0*a**3. Let y(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:53 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73521847 >= 73521844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 121, 577, 1533, 3157, 5617, 9081?\nAnswer: 13717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -0*r - 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 236\/3. Let t = -8 + 4. Let o = 22.1 - 22. Which is the closest to o? (a) t (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 12}. What is prob of sequence rgg?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 654522092 in descending order.\nAnswer: 654522092, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(18)\/sqrt(6))*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, d: 1}. Give prob of sequence dpo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120 (base 5) to base 11.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z*z*z*z**(-2))\/(((z\/z**(-1)*z)\/z*z)\/z)**(-38)*(z**(3\/5)\/(z*z**(-4)*z))\/((z*z**(-2\/19)\/z)\/z**(1\/4)) assuming z is positive.\nAnswer: z**(27723\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 9, 0 = -2*k - 3*g - 87. Let w be k\/(-21) + 6\/(-21). Solve -w = -2*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0*x**4 + 6*x**2 + 0*x**3 - 1\/24*x**6 + 1\/20*x**5 + 0*x + 0. What is the third derivative of c(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(4\/15)\/u*u*u**15*u**(2\/7)\/((u*(u\/(u\/(u\/(u*u\/u**(-19)))))\/u)\/u) assuming u is positive.\nAnswer: u**(3943\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x - 103384 = -103054 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + 1.6. What is the closest to -1 in p, -2\/123, -2?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 3438178.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(40)\/sqrt(2))\/sqrt(10) - (-3 + sqrt(8)) - (sqrt(14)\/(sqrt(21)\/sqrt(3)) + -5))**2.\nAnswer: -32*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5. Let d = 1 - w. Suppose -5*b + 580 = -d*b. What is b rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 1, i: 2, l: 1, r: 1, y: 1}. What is prob of sequence bn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = d + 4 - 6, -3*d = -4*m + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386323 is divided by 681.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 133\/(-35) + 1\/(-5). Let b = n + -14. Let z be b\/(-4)*(-18)\/(-27). Solve 3*d = -5*m + 10, -z*m + d = 2*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**21*g)**41)**13)**(14\/15) assuming g is positive.\nAnswer: g**(164164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 59 - 1153. Let y be ((-24)\/(-15))\/(-4) + k\/(-10). Calculate the highest common factor of 160 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 67 - 59. Suppose s = 3*v + 2806, -m*v = -4*s - 4*v + 11266. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*q - 755, 4*q + 145*t = 140*t - 604. Which is bigger: q or -901\/6?\nAnswer: -901\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 + 45339*h + 45336 = 0?\nAnswer: -15112, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 6. Suppose n = -0*n - 5, -4*x + 5*n = -41. Let q(l) = l + 5. Let c(u) = u**3 + 3*u**2 - 7*u - 7. Let s be c(-4). Determine s*q(y) + x*m(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71251870040 rounded to the nearest 1000000?\nAnswer: 71252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 30*g**3 - 843*g**2 + 98*g - 35. Calculate l(28).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/2)\/((-24)\/(-16)). Let r be ((-15)\/78)\/(1\/(q + -75)). Suppose -r*l**2 + 120\/13*l - 18\/13 = 0. Calculate l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -272, -276, -278, -278, -276?\n\"Answer: h**2 - 7*h - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 5) to base 4.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiiviiviieiviiiiev. Give prob of picking 2 e and 1 v.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 + 7 - 126235\/(-5)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 344 - 88. Let l = m - 466. What is the hundreds digit of (-1 - l) + (-35)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 1 + 300 + (-13 - -31).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 - ((-93 - -69) + (6 - 1) + 32)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -93, -2, 5.\nAnswer: -93, -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4030)\/78 - -36) + (-1)\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32539?\nAnswer: 13, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/3 - 52*v**3\/3 + 112*v**2 + 52*v\/3 - 338\/3 = 0?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328939987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 101*s**2 - 1127*s - 1131. Give x(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 12*f**2 - 3*f - 7. Give k(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8415 and 22440.\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -63\/88 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-5)\/150*(-18)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:00 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*p + 440 = -93*p. What is the least common multiple of p and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -681*a + 9*a**2 - 680*a + 1353*a + 10 - 3 + 2. Let c(m) = -5*m**2 + 4*m - 5. What is -11*c(g) - 6*d(g)?\nAnswer: g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -30, -1\/6, 0.2, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/(-4)) - 27. Let z = 37 + l. Solve -4*k - 12 - z = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**3 - 920*n**2 - 19572*n - 109296 = 0.\nAnswer: -207, -12, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/17 (c) 1\/6 (d) -56 (e) -0.6 (f) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(2*sqrt(8)) + 3 + 4 - (-3 + -3*sqrt(2299) + 0).\nAnswer: 10 + 67*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u = -3*p + 75*u - 33, -u + 11 = -p. Let z(r) = -6*r - 1. Calculate z(p).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 - 358*w - 240 = 0. Calculate w.\nAnswer: -2\/3, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2011377 (base 8) to base 12\nAnswer: 21627b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = 0, 0 = g + 4*m - 36 - 3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -590, -260, 50, 340?\n\"Answer: -10*n**2 + 360*n - 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13087 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -257.\nAnswer: -6\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112042, 224084, 336126, 448168?\nAnswer: 560210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 13*l + 8. Calculate the smallest common multiple of y(-6) and 2\/5*2*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 11*b**2 + 8*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1352923*h**5 - 172965*h**2 - 2*h wrt h?\nAnswer: -81175380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1469, -1136, -801, -464, -125, 216, 559?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a + 43*a - 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 32*k + 212. Let m be c(-21). What is the nearest to -2 in m, 2\/7, 8\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 24. Suppose k - p*k = -90. Find the common denominator of 3\/2 and 2\/(-2) - 1\/k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 27*i = 31*i + 19897, -19873 = -5*j - 4*i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + (-7 - (-5 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 2 - 16)*(-q**2 + 2*q**3 + q**2) as f*q**3 + x + j*q + l*q**2 and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291206.\nAnswer: 2, 145603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891.141 litres to millilitres.\nAnswer: 891141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*r - 6887 - 38857 - 8571 + 8413 = 0 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-2)\/(-28)*(3 + -5). What is the second biggest value in o, 1\/5, -0.3, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j*j**5)\/j))*j*j\/(j*j**(1\/7)\/j*j))\/(j**1)**(3\/13)*(j**(4\/7)*j*j**(-2\/7))\/(j*j\/(((j**1\/j)\/j*j)\/j))**(-2\/85) assuming j is positive.\nAnswer: j**(61746\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 0*h**3 + 2*h**3 + (-h**2 + 2*h**2 - 4*h**2)*(-h + 1 - 1) + 1 - 1 - 2*h**3 + 96 + 294*h**2 + 2*h**3 - 293*h**2 + 57.\nAnswer: 4*h**3 + h**2 + 153","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chfcfhfhffhhc. Give prob of picking 1 f, 1 h, and 1 c.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -10. Let g = v - 0. What is the lowest common multiple of 1\/((-1)\/3) + (-56)\/g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 5*f**2 + 124 + 2*f**2.\nAnswer: 2*f**2 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 at most as big as 4404\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(5 - 8). Let i(m) = h*m**2 - 23 - m + 15 + 7. What is the least common multiple of i(-1) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44575?\nAnswer: 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45906498 divided by 9.\nAnswer: 5100722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 41.6?\nAnswer: 16.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (69 - 24) - -14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*q**2 + 34*q**3 + 29 + 85*q**2 - 31 to the form b*q + c*q**2 + f + d*q**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4587*c = -4558*c - 464 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/49 - 7)\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**3 - 3*s**3 + 299 - 299.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 170?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-28)\/8 - 0)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86, -1579, -4074, -7571, -12070, -17571?\n\"Answer: -501*w**2 + 10*w + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-84)\/63 + (-2264)\/(-6). Calculate the highest common divisor of 47 and b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9915 - 7725 = -219*c + 9735. Calculate the remainder when c is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/((-10)\/(-10830)). What is v rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 95.44186 decades?\nAnswer: 11453.0232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37587\/4670 + -24\/467. Let q(g) = -19*g + 7. Find the common denominator of q(3) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021105 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (12 - 5) + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6880187 is divided by 299137.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10336.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 2, i: 1, y: 2, u: 1}. What is prob of sequence qi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.111 and 1208115345.5?\nAnswer: 1208115345.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -5*n - 3*f, 650 = 5*n - 3*f + 7*f. Suppose q + n = 5*b, 4*b + 45 = 2*q + 155. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/6 - 17*f**2 + f - 261. Calculate o(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:57 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*g + 100 = 111*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 2) + 1*77?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let g = -0.048045 + -3.951955. Sort g, -2\/3, -6, c in descending order.\nAnswer: c, -2\/3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0 - 4) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*f - 8297988 = 0, 0*f + f + 3 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29823, -60239, -90655, -121071, -151487?\n\"Answer: -30416*i + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 18*d**2 - 2*d + 2. Let n be (319\/44 + 20\/(-4))*(-48)\/6. Let g(f) = -72*f**2 + 9*f - 9. Give n*o(h) - 4*g(h).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 36 = -2*d, -4*b = -3*d + 133 - 171 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26565 divided by 10?\nAnswer: -5313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -48*y - 9. Let p be w(-5). Suppose 0 = -2*t + p + 17. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 11*w + 27. Let u be z(-8). Suppose -a = 3*a + 2*d - 28000006, 0 = d - u. Round a to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 995, 1481, 1963?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11175.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v. Let l(w) = w - 1. Let s(u) = -8*u + 7. Let r(b) = -14*l(b) - 2*s(b). Calculate p(r(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1546912 or 1546907?\nAnswer: 1546912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162 or 161?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 divided by 5?\nAnswer: 333\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*u**3 - 7610*u**3 - 12941*u**3 - 264*u**3.\nAnswer: -20059*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/75)\/((-7*42\/(-539))\/(385\/121)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*g**5 + 61*g**3 + 2*g + 2611.\nAnswer: -1100*g**3 + 366*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/120 + 3*m**5\/20 + m**4\/2 + m**3\/2 - 140*m**2. Determine i(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 + 29*l**4 - 41*l**3 + 7*l**2 + 8*l = 0.\nAnswer: -1\/3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2*g = -208. Suppose 0 = g*l - 44*l + 1872. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.237 - 0.237. What is the nearest to 0 in d, 4, 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + 4. Let y be (-1 + 3)*(8 - (-115)\/2). Let t = 241 - y. What is the greatest common factor of p and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 12404*w + 39*w**2 + 12404*w - 28 - 46.\nAnswer: 39*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 7. Let n be i\/(-15) - (-44)\/60. Let q = -3 + 5. What is the closest to n in -0.4, q, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*p - 2555, o - 4*p - 1279 = -6*p. Suppose 0 = -4*x - o - 431. Let a = -299 - x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 25*o + 30)*(-o - 2*o + o)*(-2 + 0 + 4).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8221, -1, 0.3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.617001091 + -1.617. What is z rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose -f + 45 = -j*n, -18 = n + f - 7. Let o be n*(-2)\/(-15) - -2. Does -1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 3*a - 213, -5*a + 221 = 3*h. What are the prime factors of (3 - 0)\/(6\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -23 (d) 2 (e) -1 (f) 1 (g) -8\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**3 + 5*l**2 - 4*l + 7. Let s = -3 - -6. Let n(i) = 4*i**3 - 3*i**2 + 2*i - 4. Let u(o) = s*m(o) + 5*n(o). Determine u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - -0.34\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1305, -1304, -1303, -1302, -1301?\n\"Answer: n - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 34, 66, 110?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 10*p - 3492. What is the second derivative of 2049*t**2 - p*t**4 - 2049*t**2 + 88*t wrt t?\nAnswer: -2328*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -15) + -2 - (6 + 6 + -14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 2)\/(0 - -1). Let m be (-108)\/12*(-2)\/k. Let f be 19336\/52 + m - 4\/(-26). What is the greatest common divisor of 41 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1285*d**4*m**2 - 30*d**2*m**3 - 77476*d*m**3 - 2*d*m**2 wrt d.\nAnswer: 15420*d**2*m**2 - 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.366 and -0.009?\nAnswer: -0.003294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, r: 6, d: 1}. Give prob of picking 4 k.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/248 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 536 + -536.984. Let g = 0.9224 + d. Round g to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-4)\/(-40)*-5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314 - -349. Let v = 144 - 39. Calculate the highest common divisor of v and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2 - 6. Suppose 0*d - 17 = -4*o - 3*d, -5 = -4*o + d. Calculate the common denominator of o\/(-8)*n - -9 and -5\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(605)*-2)**2 - sqrt(605).\nAnswer: -11*sqrt(5) + 2416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 42*m**3 + 8*m**2 + 6*m - 10. Let y(b) = 127*b**3 + 24*b**2 + 18*b - 31. Let v(k) = -8*g(k) + 3*y(k). Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 + 6*m. Let y(a) = a**2 + a. Let u(c) = -t(c) + 6*y(c). Let g(h) = h**2 - 7*h. Calculate u(g(r)).\nAnswer: -r**4 + 14*r**3 - 49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, -24, 50, 288, 744, 1472, 2526?\n\"Answer: 9*v**3 + v**2 - 102*v + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = -s + 2*h, s - h - 9 = 0. Suppose -3*n = -2 + s. Is n equal to -9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 14*z**5 - 4042*z**4 - 9598*z**3 + 83394*z**2 - 48816*z - 20952 = 0.\nAnswer: -6, -2\/7, 1, 3, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-1\/3)\/c*c*c))**(-8\/13)\/(c**(1\/4))**1 assuming c is positive.\nAnswer: c**(-167\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.13, -7 in decreasing order.\nAnswer: 0.13, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 15*u + 6. Let f(z) = 3*z**2 - 22*z - 9. Let p(b) = 5*f(b) + 7*j(b). What is the tens digit of p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312755 and 5286?\nAnswer: 1876530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/(k\/k**(-2\/7)))**27)**(-37))**(1\/2))**(13\/3) assuming k is positive.\nAnswer: k**(-21645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -15. Let z(a) = 32*a**4 + a**f + 0*a**3 + 3 - 5 + 3*a**5 - 38*a**4. Let d(m) = -m**3 - 1. Let w(v) = 2*d(v) - z(v). Solve w(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34140.\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + -2*sqrt(1573) - sqrt(1573) - sqrt(1573)) + -2 + (sqrt(1573) + 0)*-4*1)**2.\nAnswer: 176*sqrt(13) + 100677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -5*f**7\/42 + 3*f**6\/4 + 51*f**5\/4 + 445*f**4\/12 + 40*f**3 - 600*f**2. Find t, given that l(t) = 0.\nAnswer: -3, -1, -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 2*j**3 + 3*j**2 - 3*j**3 - 5*j - 4. Let s be h(4). Let g be s*(60\/(-9))\/5. Solve -1 = c - 5*o + g, -4*c - 2*o = -20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose 4*j = 3*g + 20, p = -7*j + 2*j + 4*g + 24. Solve 0*b = 2*b + j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 71. Let r = 31.327 + 0.373. Let v = r - t. Is v less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 4*c**2.\nAnswer: -c**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000928794 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z - 2. Let x be i(4). Let b be (253\/55 - 5) + (-464)\/(-10). Let a = b - x. Solve 3*j - j = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4975?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.395452 - -31.41. What is i rounded to 4 decimal places?\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*j**3 + 1832*j**2 + 1533793*j?\nAnswer: 78*j + 3664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 1:42 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -5, 5\/6, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -326292123*i**2\/8 - 93861*i\/4 - 27\/8.\nAnswer: -3*(10429*i + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - s**2 + 8*s + 35. Let z be p(-3). Solve -4*g - 2 = 2*u - 6, -z = -3*g + 5*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.098 + -0.198. What is the closest to -1 in -4\/5, 1\/4, v?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 3*i**2 + 1. Let d be x(2). Let n = 53\/34 + -1\/17. What is the nearest to n in 0.4, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 3*x. Let q = 447 + -442. Let k(l) = l. Calculate q*k(r) + a(r).\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161010? (a) 2 (b) -3\/2 (c) 2\/21 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 38. Suppose -5*x - 10 = -40. What is the lowest common multiple of m and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 0 = x + z - 51, 0*z - z + 106 = a*x. Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1514124?\nAnswer: -1514122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69 + 12c11?\nAnswer: 12b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 5 = 0. Suppose 0 = -y - 3*g + 35, 126 = 4*y - q*g + 3*g. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -174*y - 3. Let v be f(1). Let o = 20 - v. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 3. Let s be r(9). Let a(q) = -3 + 1 + 10 + q. Let u be a(s). Solve -u*b + 3 = -4*i + b, 5*b = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1148, 2615, 4052, 5453, 6812, 8123, 9380?\nAnswer: 10577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -924.850284 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23579863\/738 - -31951. What is the common denominator of f and 139\/198?\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -22.39 (c) -919 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -11. Let h(u) = u**2 - 8*u + 12. What is the units digit of h(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - 3*sqrt(20)) + 0)**2 - sqrt(20).\nAnswer: -2*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12020203 + -1?\nAnswer: -12020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 682376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/128 and 101\/1116?\nAnswer: 35712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 95790?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 11*c + 36. Calculate i(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-8) - 1)*2 + 25. Let q(t) = t**2 - 5*t - 8. Let w be q(6). Let j = x + w. What is the highest common factor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, i: 6, p: 3}. Give prob of sequence vvi.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 21. Let w be ((-2)\/(-6))\/(g + 8). Let r = -155 + 623\/4. Which is the smallest value? (a) 4 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*q = 7162, -16*i + 11*i - q = -35873. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, w: 2}. Give prob of picking 3 v and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -10349449?\nAnswer: -10349449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*c**3 - 1249*c**2.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 9)\/(10\/(0 + 5)). Suppose -t*c = 7*c + 18600000. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 c when four letters picked without replacement from zzcczc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, w: 2}. What is prob of picking 2 w and 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53895514 to 2 dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000542 rounded to 7 dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -9)*(-16)\/(-12). Suppose -5*w + 3*w - 2*o = -s, 2*w - o - 28 = 0. Is (-14 + w)\/((-2)\/202) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let r be (1\/q)\/((-2)\/4). Let h = 19 + -18.5. What is the third smallest value in r, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11361 + 11343. Which is the nearest to 0? (a) -2 (b) 3 (c) -0.2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 19, -2, -3.\nAnswer: -17, -3, -2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4024274 to the nearest integer?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135432599 to the power of 1\/2, to the nearest integer?\nAnswer: 46211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737127291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/36 + 18\/162. Which is the closest to -0.4? (a) -5 (b) 1\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741062 equal to 741063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62, 35, 12, -7, -22, -33?\n\"Answer: 2*b**2 - 33*b + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*y + 24770 = 2179*y + 2170 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 274 = 4*a, d + a - 179 = -d. What is the remainder when d is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234193 by -3.\nAnswer: -234193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 19 + 10*v**2 - 16*v**2 - 25*v**2 + 33*v.\nAnswer: -34*v**2 + 33*v - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*t = -18, 3*l + 3 = -2*t + 6*t. Suppose l*m + 3*y - 29 = 2*y, 5 = -5*y. Solve 0 = 4*r - 2*r - m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29200114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950*b + 14 = -936*b. Calculate the least common multiple of 2\/(-2 + 0) - -3 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(117) - (1*sqrt(117) + sqrt(117)))\/sqrt(9) - (sqrt(13) - sqrt(468)*-1) - sqrt(91)\/(sqrt(441)\/sqrt(7)))*-2.\nAnswer: 44*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enxixxxxti. What is prob of sequence xe?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 p when three letters picked without replacement from iwipais.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-90)\/(-105) - 2\/(-14). Suppose -r - a = o, -13 = -4*r + 5*r + 4*o. Solve 16 = 4*x, r*h + 4*x = 3*x - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 78, 153, 278, 459, 702, 1013?\n\"Answer: f**3 + 16*f**2 - 24*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 5*k + 0*k)*(-4*k**4 + 4*k**4 - k**4) + 5*k + 7*k**5 - 5*k + (-4*k**2 + 15*k - 15*k)*(2*k**3 + k**3 - 5*k**3).\nAnswer: 14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156576.\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*z + 174 + 5813 + 1148 + 453 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1024 and 1136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -997*q**5\/10 - 58*q**4 + 8139*q**3\/10 - 127*q**2\/5 - 8302*q\/5 + 5148\/5 = 0?\nAnswer: -2574\/997, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 - f**2 - 3 - 2*f - 4*f**3 - f**4 as d*f**3 + c*f**4 + k*f + s + v*f**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -9. Suppose -3*b - 34 + 19 = 0. Let m(x) = 2*x**2 + 21*x + 76. Let n be m(b). Does n = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 852 + -850. Let u = -4 + 9. Put u, 4, s in descending order.\nAnswer: u, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*((-105)\/180)\/(3\/16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 4130 (c) -10\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.42, -0.2.\nAnswer: -0.5, -0.42, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-6)\/(-108)*9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*j + 2739 = -3936. Which is the nearest to 2? (a) j (b) 0 (c) 3\/8 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**3\/3 - 3*t. Let m(c) = 12*c + 9. Let f(w) = 12*w + 6. Let d(y) = -3*f(y) + 2*m(y). Determine d(k(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3935100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3414 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 + 5*k**2 + 5*k - 1. Let j(d) = -3*d**3 - 5*d**2 - 4*d + 1. Let f(u) = 3*j(u) + 2*w(u). Calculate f(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + o**3 + 2*o - 5 - 6*o**2 + 4*o. Let a be z(5). Suppose 12*n = n + 22. Solve -j - a*w = 3, -w + 1 = -n*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/290 and -47\/696.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:24 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44735*c**3 + 25661*c**3 - 34184*c**3.\nAnswer: -53258*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(4 + (sqrt(243) - sqrt(243)*-1)**2).\nAnswer: -5861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.07339 * 9\nAnswer: -27.66051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*z - 21*z + 10*z)*(5*z - 4*z - 3*z)*(0 + 1 + 1) in the form a*z + b + o*z**2 and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 77?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 402 + 1109 = 0. Is -100 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 88.5. Let i = -18.5 + v. Let x = 0.12 - 0.82. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (90 + -66 - (-1 - -6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14296182619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r**2 - 39*r. Let i(d) = 4*d. What is i(o(t))?\nAnswer: 56*t**2 - 156*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*o + 57 + 26, 3*z = 2*o + 137. Let p(b) = 1 - 4 - z*b - 1 - 6. What is the hundreds digit of p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m**2 - 9*m + 17. Let a be 79 - (3 + 15\/(-5) + 1). Suppose 2*l + 4*l - a = 0. Let f(z) = 7*z**2 - 4*z + 8. Determine l*f(y) - 6*k(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (11 + -16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21250934?\nAnswer: 2, 31, 342757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(20)\/sqrt(4)))\/(sqrt(9) + -2*sqrt(36)\/sqrt(4)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, t: 4}. Give prob of picking 1 t and 3 y.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1130126770 by -5.\nAnswer: 226025354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by 2?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*h**2 - 2*h - 349 wrt h?\nAnswer: -20*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 17847.\nAnswer: 999432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 16. What are the prime factors of (-12)\/(1*d) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136071*g + 136067*g = 41*k - 185, 5*g = -k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 + d**2. Let b = 6 + -4. Let r be (b - 3)*(-2 - -1). Determine o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - (-5 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y + 18. Let c = -117 - -128. Calculate the remainder when m(0) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8608 and 7008.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*r + 2*r + 42, 0 = -4*r - 4*t + 16. Suppose -2*y + r = y. Suppose -5*g = q + 6 + 8, -3*q - y*g + 6 = 0. Solve x - q = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4 - 10*y**2 - 15 - 44*y - 8 + 24*y**3 + 32*y**2 + 20*y = 0.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23319455076 and 17?\nAnswer: 23319455093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 6. Let y be 0 - -5 - (-2 - -2). Calculate q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 14*k + 3. Let o be l(-8). Let x be (48\/(-120))\/((-2)\/340). Let t = x + o. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 176508, 353014, 529522, 706032, 882544?\n\"Answer: q**2 + 176503*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29.4542 and 96.\nAnswer: 125.4542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 68*s - 66*s. Let v(g) = -2*g**2 + g + s*g**2 - g. Let f(x) = -24*x**2. What is v(f(d))?\nAnswer: 576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*k*m*y**3 + 1332285*k*m*y**2 + 4*k*y**3 + 3*k*y - 32*m*y**3 + 16*y**3 wrt y?\nAnswer: -60*k*m + 24*k - 192*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**4\/12 + 21*k**2. Let v(j) = -20*j**2. What is v(n(b))?\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626621 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 20. Let u be l(8). Suppose 9*n - 745 = u*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 13*d**2 - 2. Calculate k(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 512, 800, 1106, 1430, 1772, 2132?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 380561 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20056326 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 343411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 104.9551 times 11\nAnswer: 1154.5061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291552*m**2 - 1207*m - 84.\nAnswer: 583104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1501, -3\/7, 1, 0.0172 in decreasing order.\nAnswer: 1, 0.0172, -0.1501, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5021 - 70255\/14. What is the common denominator of -35\/2 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*z**6 + 6*z**4 + 12*z**3 + z**2 - 2*z + 38 wrt z?\nAnswer: -720*z**3 + 144*z + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 3)*(-b + 4*b - b) - 3*b - b + b)*(-b + b + b - 3*b + 3*b - 3*b - 3*b - 2*b + 3*b + (1 + 2 - 5)*(b + 3*b - 2*b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 8. Let b be l(-6). Suppose -b*r + u + 2*u + 89 = 0, 0 = -4*u - 20. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:20 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11032, 11027, 11020, 11011, 11000, 10987?\nAnswer: 10972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - (1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.96. Let b = -19 - 17. Let a be ((-27)\/b)\/((-30)\/16). Are a and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*y - 229*y - 88*y - 107*y.\nAnswer: -186*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -747, -759, -779, -807, -843, -887?\n\"Answer: -4*c**2 - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + b - 8, 6*i - 2*i - 2*b = 0. Differentiate 17*j**2 - 2*j**i + 4*j**2 + 23 wrt j.\nAnswer: 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491985 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 28 = -7*l + 15, 3*n = -5*l + 60 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 - -1.81. Let c = 14 - 14.1. Which is bigger: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1488*p**2 + 2331 wrt p?\nAnswer: 2976*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 7*h**2 - 47*h + 159. What is q(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*-1*(-1 + sqrt(700))*4 + (sqrt(700) + -2 + sqrt(700) + -3 - (sqrt(700) + -2 + -1)))**2.\nAnswer: -1260*sqrt(7) + 56749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 7*x**2 + 9*x + 2. Let h be (-8)\/(-44) + -60*12\/88. Calculate f(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 5) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -3*m, 2*m - 2 = 6*m - 2*i. Let x be 3\/(-3) + -1 + 5. Let y be 0 + 3\/(x\/m). Solve 3*n - 4*n = -y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -84*p**3 + 2*p**2 + 3*p. Let o be s(-1). Suppose 2*x - o = x. Are x and 84 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.68255 * 2.\nAnswer: 11.3651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8125168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86720 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 4*s + 4*s)*(-2*s**2 + 5*s**2 - 8*s**2) + (-5*s**2 + s**3 + 5*s**2)*(4*s - 5*s - s) + 0*s**4 + 2*s**4 + s**4.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 2*o = 22*r - 39*r - 23, 35 = r + 6*o for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(9)\/sqrt(3))*1.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**2*v**2 + 36*c**2*v + 2*c**2 - 461*c*v - 723124*v**5 - 43*v wrt v.\nAnswer: 22*c**2 - 14462480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149 (base 10) to base 13.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, 11, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16471 * -3038\nAnswer: -50038898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 8, e: 3, x: 1, b: 1, g: 2}. What is prob of sequence bgx?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 18*o**4 - 1191*o**3 + 16530*o**2 - 51300*o - 69000 = 0 for o.\nAnswer: -23, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w = 5*x - 26, 0 = 3*w - 3*x - 6. Suppose 9 = -j + 18. Let c be (j\/(-12) - -1) + (-5)\/(-28). Is c less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-9) - (-1670996)\/3. Round a to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 33. Let s(d) = -3816*d + 3843. Let u(c) = s(c) + 12*t(c). Differentiate u(f) with respect to f.\nAnswer: -3816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-27))\/((-2)\/(-1230)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*b + 714 - 704 = 0, 0 = -5*y + b + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 523 = 2*c, -526 = -24*s + 19*s - c. Calculate the lowest common multiple of s and 385.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -762, 93, -5.\nAnswer: -762, -5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2. Let m(j) = 3*j - 10. Let a(t) = 12*t - 42. Let x(h) = -5*a(h) + 21*m(h). Give p(x(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707.042 less than 236.4?\nAnswer: -2470.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 10 = i. What is the third derivative of -31*x**i + 5*x**4 - 10*x**4 + 12*x**2 - 5*x**4 wrt x?\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83*f**4 + 76.\nAnswer: 332*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, -2\/25, 3\/8, -2, 6?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 + 393969*k**3 - 1282572*k wrt k?\nAnswer: 40*k**3 + 2363814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, j: 1, f: 1, o: 1}. Give prob of sequence fo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10164, 34027, 71586, 122841?\nAnswer: 187792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.5999 litres in millilitres?\nAnswer: 693599.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/53 (b) -10.76 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 95*b**2 - 245*b + 1298. Give l(-50).\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 4441\/23. Let c = -5 - -1. Sort m, c, 0.3.\nAnswer: c, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5757, 11701, 17547, 23295, 28945, 34497, 39951?\n\"Answer: -49*c**2 + 6091*c - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.25. Let u(t) = 7*t + 1. Let i be u(-1). Let o be i\/(1*(-2 - 0)). What is the smallest value in o, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sys when three letters picked without replacement from ksksvkvyvyvykyyvskks.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 34*u**6\/3 - u**4\/2 - 94*u**3\/3 + 2*u - 5847. What is the third derivative of o(j) wrt j?\nAnswer: 4080*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 3. Calculate q(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.1626, -3, 35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2474)\/(-26) - (-10)\/(-65). Let f = q - 59. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1355 + 3755. 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 s = 5710.6922 + -5710. Round s to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8739*c - 8748*c + 244 = 2*b, 3*b + 4*c - 119 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -262451 take away 0.016073?\nAnswer: -262451.016073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22346667 = -6*i - 4646127. Suppose -5*m - 4*r + 4299910 + i = 0, 4*m - 5800000 = -4*r. Round m to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(-j**3 + 0*j**3 - j**3) + 2 - 2*j**3 - 2 - 2*j)*(-3 + 3 + 2*j).\nAnswer: -12*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgss when four letters picked without replacement from uusgjssmuspjsmjmgsj.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 39. What is the common denominator of -91\/18 and s\/15*(-3)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 7 - (-2 + 0 + -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3828 and 9108.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 48 = -3*y, -3*m + m = -4*y - 78. Let z = 70 - y. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2669186.\nAnswer: 2, 13, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/20 - 3 - 68\/(-20). Suppose -f*k = 2*m + 2*m - 68, 3*k + 2*m - 64 = 0. Solve -6*v = -2*v + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 - 0.14999985. What is a rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {y: 1, a: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 + (-42)\/70*-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/40)\/((-1116)\/1488)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t. Suppose 3*n - 336 + 108 = -5*a, a + 3*n - 48 = t. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 12998448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 3. Let p be l(4). Let n be (0\/(-1))\/p*1. Let o = -51 - -49. Which is the nearest to n? (a) 1\/5 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11600 and 10904?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvmmmmmvvmmvv. What is prob of sequence vvm?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 569464, 1138906, 1708334, 2277748, 2847148, 3416534, 3985906?\nAnswer: 4555264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.7, 0, -4 in descending order.\nAnswer: 22.7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 963363 - 321121 - 321118 - 321124.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -86. Let a = v - 12. Suppose 827*p - 810*p - 238 = 0. What is the lowest common multiple of p and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57 and -14.931.\nAnswer: -71.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - 7. Let s = 4 - 0. Suppose 4*f - h = 105, 3*f - 5*h = -s*h + 79. Calculate the remainder when f is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 55*g**2 + 2*g - 39*g**2.\nAnswer: 16*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*l = 154, -4*l = -3*p + 7*p + 34979 - 34787 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184032.786 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5388*q**2 + 5629*q + 6. Let h(t) = 32332*t**2 + 33775*t + 38. Let d(v) = -3*h(v) + 19*i(v). What is the second derivative of d(x) wrt x?\nAnswer: 10752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65509 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/5 + 67*b**2 - 667*b\/5 + 333\/5 = 0.\nAnswer: 1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - 15*z + 9. Does 33 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*p + 30 = 0, 0 = 6*p - p + 5. Let x = 9 + t. Let v be (-6)\/(-34)*x\/6. What is the nearest to -2 in 0.4, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -90*k + 7. Let l be s(-3). Suppose 12*v = 203 + l. Let f = 73 - v. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 25*z + 24*z + z**3 - 72*z + 7*z**3.\nAnswer: 8*z**3 - 73*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**4*o - 1065*f**4 - f**3 - 940*o - 2 wrt f?\nAnswer: 12*f**3*o - 4260*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqq when four letters picked without replacement from {q: 3, u: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22603 (base 7) in base 2?\nAnswer: 1011010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4987084?\nAnswer: 2, 347, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41137*x - 41129*x - 39*x**2 - 41146*x + 123411*x.\nAnswer: -39*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 + -15) - (-4 - -19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -230943.\nAnswer: -230942.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 1730*h**2 + 36394*h - 212943642 = 0. What is h?\nAnswer: -309, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/7)\/((-10)\/(-140)). Factor -6*m**2 + 2*m**2 + 2*m**u - 2*m**3 + 4*m**3.\nAnswer: 2*m**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 397*r**3 + 7*r**2 - 530*r - 6. Let a(u) = 794*u**3 + 12*u**2 - 1060*u - 10. Let g(i) = 3*a(i) - 5*p(i). Find the second derivative of g(j) wrt j.\nAnswer: 2382*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21482 + 36343. List the prime factors of n.\nAnswer: 7, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/246 and 2310\/(-5940)*250\/28?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a factor of 9270874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2127*c**4\/5 - 18839*c**3\/5 - 2736*c**2\/5.\nAnswer: c**2*(c - 9)*(2127*c + 304)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o**2 + 25*o**2 - 13*o**2)*(o - o + o) + o**2 - o**2 + o**3.\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2019687 - 2002739.57. Let w = c + -16867. Let s = w + -77. Round s to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-0.420955.\nAnswer: -6.314325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105560 is divided by 526.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27320, -54682, -82086, -109532, -137020?\n\"Answer: -21*d**2 - 27299*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-1\/3))\/z)**26*z**(1\/5)*z**(2\/31)\/z*z)**(-44) assuming z is positive.\nAnswer: z**(-714692\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-207)\/46*(-56)\/18. Suppose -a = -9*d + 11*d. Put d, 1, -3 in descending order.\nAnswer: 1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119957 is divided by 98?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 16 + 63 - 45.\nAnswer: -4*r + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*q + 5*x + 249, 5*x = -3*q + 667. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.14 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-55) - (-19128)\/(-35865) - 812\/(-330).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s, 7*s = -q + 3*s + 864. Let x = 1316 - q. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**9)*h\/h**(-13)*h)**17)**(-14\/11) assuming h is positive.\nAnswer: h**(-1428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001107099099 rounded to six dps?\nAnswer: 0.001107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose 0 = -v + x*v. Solve v = -3*c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26538 = 206*u - 16032 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 188, -718, 2, 5.\nAnswer: -718, 1, 2, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505089 divided by -8.\nAnswer: 505089\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 6*p + 10. Let f be m(2). Suppose 0 = -4*o - 4*z + 1180, 0 = -f*o + 10*o + 5*z - 1178. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1167 - 1.8833. Which is the biggest value? (a) -1\/14 (b) t (c) 2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-12))\/(16\/(-20))*3*(-28)\/42?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 921*d - 102270. Determine g(187).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3285.7 + 3472. Round d to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3, 0*c = 4*c + 3*s - 1997. What are the prime factors of c?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 5 + 47 = 0. Suppose q*k + 6*k = 4*k. Solve -5 = 5*w - 5*v, k = w - v - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 14, -1 in ascending order.\nAnswer: -4, -2, -1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -3880?\nAnswer: -3881.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, -616, -854, -1092, -1330?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2812.87 - -2805. What is w rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-7 - -9) + (-24 - -28) + -24\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 1742.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 604 + -604?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 146210 and 146211 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/63)\/(4\/21)*14\/(-35)*-10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5616\/192*16\/(-12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-96) - (-18)\/8. Suppose d - 4*p = 525, 4*d + c*p - 2154 = -0*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0099 * -0.006\nAnswer: 0.0000594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7 and -56\/14185?\nAnswer: 99295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7913 is divided by 2555?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 31.5. Which is the smallest value? (a) j (b) -4 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17881 - 17880.60645. Let b = -0.4 + g. Round b to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 976 divide 843264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 5*n**4\/6 - 7*n**3\/6 - 6*n**2. Calculate the common denominator of 46\/11 and s(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 4*g + 2. Let j be a(2). Suppose 84 = n - j*s + 3*s, n - 3*s - 104 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -10, -4*i - 3 - 7 = -5*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 82, 3, 1, 4, -1 in decreasing order.\nAnswer: 82, 10, 4, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 8. Let p(j) = -2. Let o(l) = 1. Let b(u) = -5*o(u) - p(u). Let i = 1 - 4. Determine i*w(n) + 8*b(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0 = 6. Suppose 36*p = -34*p. Suppose -3*c = -p*t - 5*t + 12, -5*t - 5*c = -20. Calculate the remainder when t is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -550, -5.\nAnswer: -550, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(152)*2)\/(sqrt(648)*-3).\nAnswer: 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 674364024 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2436*h**2*q**3 + h**2*q**2 + h**2 + 2*h*q**3 - 2*h*q**2 - h*q - 5*q**3 - 469*q**2 wrt h.\nAnswer: 4872*q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2000\/700)\/(((-1040)\/70)\/4).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 29*j + 148. Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -22.5. Let m = 957\/5 - 191. Let f be 38\/70 - (-12)\/20. What is the closest to m in -0.3, n, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -0.1 (b) 3 (c) -4 (d) -20 (e) 32\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1804, 1805, 1806, 1807?\nAnswer: 1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14*-0.032349\nAnswer: -0.452886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361722.87 rounded to the nearest one hundred?\nAnswer: -1361700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w - 972. Calculate the greatest common factor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17*u + u**2 + 44*u**2 - 6 - 43*u**2. Give f(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502113.\nAnswer: 2502113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/17, -3, 0.05, 52?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2432)*5 + sqrt(2432)))\/(-5*(sqrt(8) - (1*sqrt(8) - sqrt(8))))*-1)**2.\nAnswer: 393984\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24 - (6 - (7 - 9)). Is 543 + -10*u\/(-20) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600361 (base 7) to base 4\nAnswer: 120222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(6*20\/72)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 10*h. Let w(z) = -3*z**2 + 11*z - 1. Give 5*q(s) + 6*w(s).\nAnswer: -13*s**2 + 16*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q - 1. Let h(i) = -4*i**2 + 19*i - 18. Let x(f) = h(f) - 3*y(f). Let n be x(15). Solve n*d - 2*d - 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:40 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 8*p**2 - 3*p + 7. Determine j(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1082 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, -33, 0.3 in descending order.\nAnswer: 5, 4, 2, 0.3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:43 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133094 - -133094.000064283. What is h rounded to six decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 31*d - 23. Let j be y(-30). Let u(s) = s + 1. Let w be u(-1). Suppose 4*k - 5*x + j = w, -x = 5*k - 0 - 13. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -176441857*h**2 + 9201757 wrt h?\nAnswer: -352883714*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(3 - (-52)\/(-12)). Let l be (22\/21 + -1)*2. What is the third biggest value in 3, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/24*5856\/4880*3\/6?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4 + 13986787*l**3*r + 7028760*r wrt l.\nAnswer: 8*l**3 + 41960361*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 - 1431\/5. Put 0.4, o, 3 in descending order.\nAnswer: 3, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*c = -2*c - 7855 + 967 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*s - 517*s + 1112*s = -398*s + 20823 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - f**3 + 4)*(9*f**2 - 2*f**2 - 120*f + 121*f + 1).\nAnswer: -7*f**5 - f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*l - 8543 = 11763 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + ((sqrt(320) + sqrt(320) + 1)**2 + 3 - (sqrt(320) - -3*(0 + sqrt(320)))) - ((sqrt(320) + 1)**2 + -4 + 2)*3).\nAnswer: -1324 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27033.\nAnswer: 3, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**7\/210 + 7*t**6\/90 - 22*t**3\/3 + 54*t**2. Let h(f) be the first derivative of b(f). Factor h(g).\nAnswer: -4*g**2*(g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-5\/3)*i)*i**(-1\/24))**(-21\/2))**7)**(1\/15) assuming i is positive.\nAnswer: i**(-637\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 19 = -2*f. Let k(p) be the first derivative of -3\/4*p**4 + 0*p**f + 0*p + p**2 - 3. Find the second derivative of k(u) wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298\/189 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 192901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121344219.\nAnswer: 3, 13482691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 52507452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123201 (base 8) to base 5.\nAnswer: 2331000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2112\/(-112))\/(-33) + (-9342)\/(-189)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*d = -45897, 21*d = 5*s + 25*d - 45891. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -2\/845 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1445?\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/540*-2*5.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, y: 3, e: 1}. Give prob of picking 2 m, 1 e, and 1 y.\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 24164359.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1419 + 2766. Let b = x - 762. What is the greatest common divisor of b and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -323998, -324003, -324024, -324061, -324114, -324183, -324268?\n\"Answer: -8*p**2 + 19*p - 324009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 2 r when four letters picked without replacement from {g: 6, d: 2, f: 2, y: 1, r: 3, k: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -114570778.32613\nAnswer: 114570777.82613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3223234*w**2 + 3869618.\nAnswer: 6446468*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 35. Let u = 77 + 133. Suppose -327*h + 330*h = u. Calculate the greatest common divisor of h and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/30 - 2*w**2. Let t(q) = 2*q**2 - 3*q + 3*q - 4*q**2. Suppose 5 - 2 = -i. Calculate i*d(s) + 4*t(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 245*g**2 - 130*g + 899. Determine o(122).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39610 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/81)*b\/(b\/((b*b*b\/(b**(-48)*b))\/b))*((b*b**(9\/2)*b*b)\/b)**(-43) assuming b is positive.\nAnswer: b**(-37345\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1828854 or -34748227\/19?\nAnswer: -1828854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 25*i**2 - 31*i**2 + 11 + 8 + 3 to the form y*i + u*i**2 + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 18*r = -5*r - 3*r - d - 77, -r + 4*d + 329 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 3*y**3 + 2*y - 2*y**3 + 7*y**3 - 2*y**3 + (43*y - 29*y + 15*y)*(4*y**2 - 2*y**2 + y**2).\nAnswer: 87*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360102967?\nAnswer: 7, 2447, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvd when three letters picked without replacement from {v: 4, c: 6, g: 1, d: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1\/((-3)\/(-3))). Let c be (0\/(-10 - -9))\/((-4)\/(-1)). Solve -z + t*i = -i - 4, -i = c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -0.1, -10\/9, -22 in ascending order.\nAnswer: -22, -10\/9, -0.5, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11101?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296959127?\nAnswer: 419, 708733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) - (1 - 165). Let v(r) = r**3 + 3*r**2 + 1. Let d be v(-4). Let t be (d*(-2 - -1))\/1. What is the greatest common factor of b and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3753639 - -0.037?\nAnswer: 0.4123639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 28. Let k(z) = -4*z - 29. Let h(o) = -4*k(o) - 3*y(o). Let j be h(-9). Which is the closest to -1\/4? (a) j (b) -5\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 smaller than -8792\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (39 - 1)\/(1184\/(-304) - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14578 - 19008 = -288*v + 5209 - 5387 for v.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 320, 409, 498, 587?\n\"Answer: 89*b + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12222 divided by -1.\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 294*d - 4590 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5159*r - 2666*r - 2696*r - 5075 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let h(d) = -7*d. Let w(p) = -h(p) + 2*u(p). Let b(s) = 1728*s. Determine w(b(i)).\nAnswer: 1728*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h + 140. Let p(s) = 3*s**2 - 9*s + 21. Let q be p(6). Let r = h + q. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-2*b - 4*b + 4*b) - 4*b + 2*b - b + 4*b - 4*b - 2*b + 145*b - 216*b - 504*b.\nAnswer: -584*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 72. Suppose 2*h = -2*v + 280, -112 - 18 = -h + v. Let l = b + h. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*g + 2*v - 5*v, -4*g = -5*v - 6. Suppose -6*x + x = -4*f - 36, 0 = 2*x - g*f - 24. Suppose -5*z + x*d + 413 = 0, 0*d - 3*d + 9 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Which is smaller: 2\/143 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -79. Let 15*k + 20 - 10*k**5 + 45*k**y - 21*k**2 - 3*k**3 - 2*k**3 - 64*k**2 + 20*k**2 = 0. What is k?\nAnswer: -1, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 + 48. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*-2*53*(-37)\/(-41181).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24180 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbzbcblhchhhzcbbhyc. What is prob of sequence hzlb?\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134170, 134171, 134174, 134179, 134186, 134195, 134206?\nAnswer: 134219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (-101 + 90 - (3 - 2)) + -1 + 17?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -24. Let w = 3.6 - 0.6. Which is the third smallest value? (a) i (b) w (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7684 or 7683?\nAnswer: 7683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -112, -149, -202?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1736*v + 836 = -1698*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.97986 months to millennia.\nAnswer: 0.007331655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 4*l + 1. Let d(p) = -p**2 - p + 1. Let y(a) = 3*d(a) - w(a). Let s = 25 + -30. Let m be (-6)\/(-12)*(s + 1). What is y(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 473. Let v = -471 + q. Which is the third biggest value? (a) v (b) -0.5 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 8*a - 3*a - 2*a - 3 + 10*a.\nAnswer: -9*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2442871um?\nAnswer: 0.0000002442871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 63 = a + 9, 2*f + 3*a + 62 = 0. Let x be (-8)\/20 + f\/5. Which is greater: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63264, -63262, -63260, -63258, -63256, -63254?\nAnswer: -63252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 4*a - 4. Let t(o) = -4*o**2 - 5*o - 5. Let k(h) = -5*m(h) + 4*t(h). What is k(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -246, -247?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -8 - (-8 - (-50)\/(-10) - -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 18 - (-20 - 13 - -29).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/100*(150\/4)\/5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13232 - 7445. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32686 divided by 545.\nAnswer: -32686\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*d - 4 + 5, 3*s - 3 = 0. Suppose y + 137 = 3*n, -5*y - 5 + 25 = d. Calculate the highest common divisor of n and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/(39\/(-15)))\/(1*-1). Suppose 5*v + 15 = 0, 6 = 4*q - 2*q - 2*v. Solve 5*o - c = 8, q = -3*c + 1 + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -241*v**2 + 17*v + 1. Let d be n(-1). Which is bigger: d or -2308\/9?\nAnswer: -2308\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2429*m**3 - 649140*m**2 + 649140*m**2.\nAnswer: -2429*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000596 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100222011 (base 3) in base 7?\nAnswer: 30121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(243))*-3 + (sqrt(336)*1)\/((sqrt(252)\/sqrt(4))\/sqrt(9)))**2.\nAnswer: -138*sqrt(3) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6979 and 1505.\nAnswer: 1500485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4146 (base 8) in base 4?\nAnswer: -201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70.6 and -46.\nAnswer: -3247.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107 + 1828003?\nAnswer: 182810a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16240 divided by 15\nAnswer: -3248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 154. Suppose -5*q + 5*r + x = 0, 3*q - 6*r = -2*r + 29. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-121*t + 296432 - 296432)*(2*t - 3*t - t)*(-5 + 2 + 2) to x*t**2 + d*t + n and give x.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b5b (base 12) to base 5.\nAnswer: 102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16854 divided by -6?\nAnswer: -2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -327*s - 31388. Calculate f(-98).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 2.5875277\nAnswer: -2.4875277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + -33122?\nAnswer: -33322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/3))**(-2\/13))**(29\/5))**(3\/28) assuming u is positive.\nAnswer: u**(29\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2761.924 - -2763. Round l to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*v + 10, -4*s = 14*v - 72 + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 39*q + 49. Let h be j(-21). What is the smallest common multiple of -4*21\/h - -24 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 g, and 1 y when four letters picked without replacement from {y: 1, r: 2, g: 3, b: 4, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 - 3*v**3 - 507226*v + 25716435 wrt v.\nAnswer: 4*v**3 - 9*v**2 - 507226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-193 + 153))\/(7\/2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 7 - 13. Suppose -s*j - 5*x = -34, -3*x + 6*x - 34 = -2*j. What is the remainder when j is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 74*d**2 - 29*d - 3. What is v(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 88, -2765, -9454, -21257?\nAnswer: -39452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - 0.7. Let n = -685.36 - -312.45. Let w = -373 - n. Is y >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c = -196 - 142. Let r be 1\/(-10)*(0 + -2). Put -3, r, c in decreasing order.\nAnswer: r, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-40)\/70*(-9555)\/168\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiihhiiiiii. What is prob of picking 2 i?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*z + z - 122, 4*z - 20 = 0. Let u = -40 - p. Solve -3*g - 1 = -u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 10934 = 20*d + 2044. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970 divided by 3?\nAnswer: 1970\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1982 - -8?\nAnswer: 198a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 824200 rounded to the nearest ten thousand?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 2*i + 0*i - 4*i**4 - 5*i**4 + 5*i**3 - 5*i**3 + (36 - 36 - 2*i)*(-10*i**3 - i**3 + 24*i**3) + (-2 + 2*i + 2)*(-2*i**3 - 2*i**3 + 3*i**3).\nAnswer: -36*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 16. Let y = 18 - m. Let z be ((-3)\/6)\/(y\/(-8)). Solve -3*j + 4*c = 16, -z*c = -j + 2*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0\/2 - -2). Suppose -2*g - 6 - 2 = 0. Let l = -1 - g. Solve -l = w + d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/7018 and 31\/10208?\nAnswer: 112288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 + 0 + (18 - 15) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 146?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-19 + 13 - (7 - 3 - 2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7343*b*k**2*w + 6*b*k**2 + 52*b*w - 2*b + 5*w with respect to k.\nAnswer: -14686*b*k*w + 12*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 241, 377, 513, 649, 785?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = 1. Let x(w) = 7*w**2 + 2*w**g - 7*w**2. Let m(t) = -9*t + 2*t + t. Give m(x(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82484 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/7)*d)**(-8\/15)*d**(1\/5)*d**(-1\/13)*d)**(-23) assuming d is positive.\nAnswer: d**(10189\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**4*j - 2*i**3*j**2 + 5*i**3 - 2*i*j**2 - 256*i wrt i?\nAnswer: 84*i**2*j - 12*i*j**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*z - 30 = 0, 3*z - 7*z - 20 = 0. Let u = v - -27. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 + -7.2. Let u = 34 - 29. Let f(h) = -3*h**2 + 16*h - 2. Let x be f(u). What is the third smallest value in x, -1\/3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**12)\/h)**(-1\/3) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/2*q - 95\/4*q**2 + 1\/2*q**3 + 47\/4.\nAnswer: (q - 47)*(q - 1)*(2*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*u - 96, 3*u - 4*s - 83 = -0*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 590382.5 centuries?\nAnswer: 59038.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 - 12*s - 147. Let r(f) = 2*f**2 - 2*f - 1. What is d(x) - 5*r(x)?\nAnswer: -x**2 - 2*x - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4753783781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 3*v - 15*v**3 - 2*v + 5*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 613 - 613. Let -3\/4*t**4 + 0 + b*t + 1\/4*t**5 + 3\/4*t**3 - 1\/4*t**2 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -25. Suppose b*m - 360 = -2*m. Let z be 2\/8 - (-3070)\/m. Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - (-13132)\/280)\/(1\/(-10))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 949*p + 59651. Give y(-63).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/6 - 5332*l**4\/3 + 4741924*l**3 - 56839120*l**2\/3 + 56817800*l\/3.\nAnswer: l*(l - 5330)**2*(l - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 9\/40*r**5 - 39*r**2 - 7\/36*r**4 + 0*r + 0 + 1\/12*r**3 - 1\/10*r**6 + 4\/315*r**7. Let f(g) = 0. Calculate g.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1282, 2609, 3936, 5263, 6590, 7917?\n\"Answer: 1327*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 399b1 - 7c?\nAnswer: 39932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-29.709\nAnswer: -29.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 2375?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1184 - 1171.82. Let x = 0.18 - t. Let s = x - -9. What is the third smallest value in 4, -5\/2, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.442255 to two dps.\nAnswer: -10.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p**2 - 103*p + 229. Give w(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3060*z - 58172. Calculate f(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 - 7*b + 10. Suppose 3*s - 12 = 0, 5*z - 5*s + 4*s = 31. Let q = -28 - -23. Let j(r) = -3*r**2 - 5*r + 7. What is q*p(y) + z*j(y)?\nAnswer: -y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.23 (b) -2\/3 (c) 0.1 (d) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700451 is divided by 13470.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 464247246 to the power of 1\/2, to the nearest integer?\nAnswer: 21546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -57 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3159 is divided by 353?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36643 - 106?\nAnswer: 36536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6eaab2 (base 16) to base 8.\nAnswer: 33525262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d - 3*d)*(-d + 2*d - 3*d) - 3*d**2 - 421*d + 421*d + 46 as g*d + v*d**2 + i and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/148 and 23\/21373116.\nAnswer: 790805292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -658507*g**3 + 124302*g wrt g?\nAnswer: -3951042*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -668421 (base 11) to base 5.\nAnswer: -233042212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25107 = 1389*u + 123726 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199975639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -29143?\nAnswer: 53\/29143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.094 - -53.906. Let x = i - 57. What is the second biggest value in 4, 1, -0.1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*n - 10*n**4 + 6*n**3 + 5*n**4 - 2*n**3 - 6*n**3 wrt n?\nAnswer: -60*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u + 6. Let k(f) = 380*f + 330. Let w(y) = 2*k(y) - 110*x(y). Let s(g) = -35*g. Give w(s(z)).\nAnswer: 350*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 and 15 + ((-12)\/18)\/(2*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m + 2*r - 138, -2*r - 122 = -2*m. Let c be m\/13 - -1*3. Let w be (c\/9 - (-1 + 2))*-6. Is w != -0.039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3969 - 3040.6\nAnswer: -7009.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 7 = -61. Let n(j) = j + 11. Let q(v) = 3*v + 35. Let c(p) = 7*n(p) - 2*q(p). What is c(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3034305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose 2*q = -0*q + 2*p + 24, -4*q = -v*p - 40. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times -64.8\nAnswer: 7.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + 2 + -7 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4520893 and 26108?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 881726071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -862*0.4\nAnswer: -344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w + 0 + (1 + 3 + 1)*(11*w - 31 + 31) - 2 + 2 + 2*w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/8*20\/3. Let n = w + 56. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7823120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2836088 grams?\nAnswer: 283.6088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 16*v**4 + 4*v**3 - 64*v**2 + 42*v.\nAnswer: 2*v*(v - 1)**2*(v + 3)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3 + h**2 + 15*h + 17*h - 26*h. Let a(g) = -g**2 - 4*g - 2. Let c(f) = 3*a(f) + 2*l(f). Let v(i) = -40*i**2 + 1. What is v(c(m))?\nAnswer: -40*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17639*h + 1089*h - 1959446 = 213002 for h.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15730 + 79004\/5. Let z = 71 - w. Which is the nearest to -2\/5? (a) 0.1 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -24*l**2. Let h(p) = 16*p**2. What is z(h(f))?\nAnswer: -6144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 20*m**2 + 11*m - 67. Let f(w) = -11*w**2 - 13*w + 34. Calculate 9*f(p) + 5*n(p).\nAnswer: p**2 - 62*p - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -22. Suppose -60 = -f*o - 0*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 = -147*w - 1831 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 433 in 7, -49, 0, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13545 or 13546?\nAnswer: 13546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*w + 5*f - 2, -5*w - 5*f + 5 = 0. Which is the nearest to 0.1? (a) 0.1 (b) w (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-25)\/(-150)*-138.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6, 3*i + 2*i = -f - 33. Is 12\/(-9) + (-722)\/i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008964 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2152075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 4*f - 1690 = -819 - 744, -5*p + f + 110 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6706220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -418 (base 15) to base 9\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 + 1072 + 254 = -152*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 443*f**2 + 2*f + 7. Let a be y(3). What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - g + 87665943049 + 27*g**3 - 87665943049.\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r - 24. Let n be t(-2). Suppose 5*d + 3 = -2. Let u be d + 5 - n\/(-8). What is the nearest to -0.1 in u, -4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:45 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -m - 6, -2*t - 3*m = 2*t - 3. Suppose -s - t = -28. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78020 and 80?\nAnswer: 312080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*v + v = 295, 4*v + 8 = 0. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + 9 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 200002001302 (base 4) to base 9\nAnswer: 16717354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*4 - sqrt(156) - sqrt(156))\/sqrt(12) + -2 - sqrt(65)\/(sqrt(15)\/sqrt(3))*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4364007 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/2)\/d*d*d)\/d*d)\/d*d*d**(-1\/2))\/(d*d**7*d**(-2\/5)) assuming d is positive.\nAnswer: d**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1163623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, f: 2, r: 1, z: 2, h: 2, u: 2}. What is prob of picking 1 h and 1 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 2)*(1 - 4 + 1) + (3 - 6 + 2)*(4 - 4 + 5))*(d**5 - 3*d**5 + d**5).\nAnswer: 11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 6*n**2 + 6*n - 1. Suppose 18*b - 148 = -19*b. Calculate y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -53*h + 136. Calculate k(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 2, -5 in ascending order.\nAnswer: -8, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 3, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5472226 at most -5472225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99082237 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x + 5*x + 8*x - 7*x. Let j(i) = i**3 - 12*i**2 + 17. Let f be j(14). Let k(d) = -f + 409 + d. Determine k(r(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3313*v = 1532*v + 1645*v - 6800 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26426, -104095, -233542, -414767, -647770, -932551?\n\"Answer: -25889*w**2 - 2*w - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q + 7. Let l be f(-7). Let v = 95 - l. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -34. Suppose 3*o + 576 = b*o. Let w = 202 - o. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:52 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 45341 - 45361 = 5*j, 2*o - 27 = 3*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2510706431 to the nearest integer?\nAnswer: 50107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -497502003041781+-0.2\nAnswer: -497502003041781.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 18. Let g = -0.12 - 0.28. What is the closest to 1\/3 in 2\/5, g, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-414)*-45*(-5)\/((-225)\/(-42))*-12.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19414, 18971, 18528, 18085?\nAnswer: 17642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 195*t**2 + 55*t - 55. Let a(h) be the second derivative of -7*h**4\/6 - 2*h**3\/3 + 2*h**2 + 1634*h - 1. What is 55*a(g) + 4*l(g)?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-100))\/(-25 - (-2912)\/140))\/((-40)\/(-70)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/9 + 8*f**3\/3 - 70*f**2\/9 - 8*f\/3 + 8 = 0 for f.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 579053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 94. Does 9 divide r(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11036, 11037, 11036, 11033, 11028, 11021, 11012?\nAnswer: 11001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -11. Is -4 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 34*w + 56. Give f(33).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 - -0.2591.\nAnswer: -25.7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-1\/13))*(((z*z**(4\/7)*z)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(-46\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 57145.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 74. Let s be 0 + -3 + 4 + f + 9. Solve -3*q - s - 3 = 4*j, -5*q = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333020030 - -3222?\nAnswer: -2333010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 53, 77, 99, 119?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.51 + 12.510003229. Round f to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 880843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:40 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 + u**2 - 1. Let t be s(1). Is t\/(1 - (-18)\/(-14)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1928 + -274?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5004.459 centuries?\nAnswer: 50044.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 381*d**2 - 14. Let v(x) = -510539*x**2 + 18767. What is -8043*p(b) - 6*v(b)?\nAnswer: -1149*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (143\/286)\/(3\/89472)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23716 divided by 4?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53085990 divided by -149538.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44407186 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-6))*o**(-5\/9) assuming o is positive.\nAnswer: o**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.405 + -1.405. Which is the third biggest value? (a) u (b) -5 (c) -89\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 11*z**2 - 7*z + 3. What is the remainder when b(-11) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1db72 - -244?\nAnswer: 1ddb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 382*t**3 + t**2 + 28 - 380*t**3)*(61*t + 16*t - 10*t).\nAnswer: 134*t**4 - 134*t**3 + 1876*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 11848?\nAnswer: 25\/11848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67349369107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427708 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 - 99. What is the least common multiple of 13 and g?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -164?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x**3\/6 - 1673*x**2\/6 - 2924*x - 8670 = 0. Calculate x.\nAnswer: -102\/7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*i**2*y**2 + 64*h**3*i*y**2 - 3*h**3*i - h**3*y + 15*h**2*i**2*y wrt y.\nAnswer: 4*h**3*i**2 + 128*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/203, -2.5, 4\/7, 1?\nAnswer: -1\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/2223 and 35\/4212.\nAnswer: 80028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-7) - (-27)\/(-14). Let o(q) = q + 3. Let n be o(4). Suppose -v = 5*k + 20, 0*v + 4*k = v - n. What is the closest to 0.1 in v, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -18. Calculate the highest common divisor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 9. Let q(t) = -4*t - 9. Let f(p) = 4*h(p) + 5*q(p). Let g(c) = -c**2 - 1. Let m be g(-2). What is the units digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/3 - 7*f**3 + 34*f**2 - 188*f\/3 + 40 = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**3 - 3*v**3 - v**3 + (17 - 6 + 7)*((-5*v**2 + 3*v**2 + 3*v**2)*(2 + v - 2) + 4*v**3 - 2*v**3 + 0*v**3).\nAnswer: 57*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62.41 + 63.41. Let n = 0.02 + 1.98. Let y = n - 2.1. Which is the closest to -0.1? (a) m (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32\/(-4) + 17 + 28313 - 16\/4.\nAnswer: 2, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/4 + z**3 + 15*z - 51. Let f be r(-4). Suppose -4*c + 2*p = c + 14, 0 = 3*c + 2*p + 2. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394567 is divided by 158.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 120\/(-4)*(-2)\/6.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4667 - 6217 - 428 + 687 - 103*v.\nAnswer: -103*v - 10625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-1\/18)*a*a)))\/(a**(-16)*a)*(a**(-7\/6)*a)**33 assuming a is positive.\nAnswer: a**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*b - 184*b + 63*b - 539 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4016, -2, 0.5, 7, 3, -3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 841 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -2*q**4\/3 - 2*q**3\/3 + 9*q**2\/2 + 10*q. Let j(t) = 9*t**2 + 5*t - 8. Let h(z) = -4*j(z) - 5*v(z). Differentiate h(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16693, 33427, 50195, 66997, 83833, 100703, 117607?\nAnswer: 134545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -377.15 - -350. Let i = -28 - j. Let o = i - 0.15. Which is the nearest to -3? (a) -2\/7 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r**3 + r**2 - 5*r - 4. Calculate the remainder when 318 is divided by c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1932*o**3 - 24*o + 1608. Let m(z) = 3866*z**3 + 44*z - 3219. Let l(c) = -11*j(c) - 6*m(c). Differentiate l(a) wrt a.\nAnswer: -5832*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -17*a - 178. Let o be d(-14). Suppose 29*q = o*q - 7347. What is the remainder when q is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x + 0*x**2 - 2 + 2\/3*x**3. Let k(j) = -3*j. Determine k(g(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-649)\/(-66) + -10 + 129\/54*-15\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -279\/14?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 4. Let j be s(6). Let t = j - 15. Let z be (1\/2*0)\/t. Solve z = -4*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mppp when four letters picked without replacement from {p: 9, m: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-30) - (-6)\/(-15). Let q = 136\/7 + -1482\/77. Which is the nearest to r? (a) q (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -5. Let q = c + -16. Let p(n) = 21*n**3 + 13*n**2 + 4*n - 11. Let g(b) = -10*b**3 - 6*b**2 - 2*b + 5. Let r(j) = -13*g(j) - 6*p(j). What is r(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2\/j*j)**(-39)\/(j**(-1\/2)*j\/j**(-10)))**50 assuming j is positive.\nAnswer: j**(-6375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*8\/(-72) + 20\/(-3). Suppose 3 = -o - 0. Sort 4, x, o in increasing order.\nAnswer: x, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18382*q - 112. Let g(n) = 817*n - 5. Calculate 112*g(v) - 5*w(v).\nAnswer: -406*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {j: 4, r: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/3 + 10610*k\/3 + 2062364 = 0.\nAnswer: -4638, -667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 2)*(0*f - f + 0*f) - 14 + 47 - f - 16)*(-3514 + 351*f + 3514) to a*f + o + w*f**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359 a factor of 358270569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -54679.75 minus 393350?\nAnswer: -448029.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 2*q + 1. Let p(h) = -38*h**3 + h**2 + 5*h + 5. Let a(l) = -6*o(l) - p(l). What is the hundreds digit of a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -454307, -454302, -454295, -454286, -454275, -454262?\n\"Answer: m**2 + 2*m - 454310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 16*c + 50. Let o be y(12). Let f be o\/3*3 - 34. Is (-6)\/8 + (-1208)\/f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h + 32. List the prime factors of l(23).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49837381.\nAnswer: 11, 4530671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 - 3*v**2 - 1. Let r(d) = -2*d. Let y be 4 - -1 - 12*1 - -1. What is y*r(i) + 2*u(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**6\/144 - m**5\/120 - m**4\/6 + m. Let a(v) be the third derivative of c(v). Is 5 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316 - -656. What is the greatest common factor of 68 and r?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*k**2\/7 + 6*k\/7.\nAnswer: 2*k*(10*k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**2 - i + 1. Suppose 2*w = -w + 3. Let p be z(w). What is the derivative of -p*r**3 + 2*r - 6 - 2*r wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6548111*u + 6548449*u + 12844 = 0 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -581, -666, -787?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhihmihahhm. Give prob of picking 1 a and 3 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 800 = -4*g, -1009 = -5*g - 9*h + 7*h. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*g = 151*g - 6*j + 3, 0 = 4*g + 2*j + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23680007 is divided by 296000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 27. Suppose 0 = 3*f + 4*r + 28, -3*f - 2*r - 35 = -3. Let x be l(f). Let n(m) = -m**3 - 15*m**2 - m + 5. What is the units digit of n(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8514022 (base 9) to base 4\nAnswer: -101120113232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in -0.1, 3, 5, 13251?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3862 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**5 + 5*v**3 - 15*v. Let h(b) = -b**5 + 3*b**3 - 7*b. Let w(d) = -5*h(d) + 3*t(d). Find the second derivative of w(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:07 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123872 and 61152?\nAnswer: 4831008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 539 = -9*i. Let v = i - -463. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 3 - 3)*(-44*v + 34*v + 22*v)*(1 - 3 + 4) as h*v + s and give h.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760855?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 281985371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -475 + 490. Solve -v = -5*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 870.5 + -870. Which is the nearest to 2\/3? (a) q (b) -1\/5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*j + 28 + 97*j - 26*j - 34*j)*(3*j - 4*j + 5*j).\nAnswer: 16*j**2 + 112*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9954, -9900, -9856, -9828, -9822, -9844, -9900, -9996?\n\"Answer: -y**3 + y**2 + 58*y - 10012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koko when four letters picked without replacement from okookk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(720)*-1 + sqrt(720) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 + 22877\nAnswer: 22876.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1263 + -1255. Let d(a) = 2*a**3 - 2*a**2 - 2*a + 2. Let g(p) = -p**3 - p**2 - p + 1. Calculate s*g(t) - 4*d(t).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126640, -253280, -379920?\nAnswer: -506560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-332)\/180 - (-35)\/25. Sort -9.06, i, 5.\nAnswer: -9.06, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, z: 3, y: 1, v: 5, n: 4, d: 2}. What is prob of picking 1 v and 1 m?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.2 - 7. What is the closest to 1 in 2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.6531.\nAnswer: -3.2655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*k + 1)*(-k**2 - k**2 + 4*k**2) + 5*k**3 - 2*k**3 - 5*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/12981227 and 25\/12981227.\nAnswer: 12981227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(942*b**2 + 1280*b**2 - 865*b**2) + b**2 - 3 + 3.\nAnswer: 1358*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 5:23 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 75 = 3*u, 0 = 11*b + 189*u - 191*u - 155 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4638 is divided by 1528.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47697 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -77. Suppose 233 = 5*f + 2*r, s = 2*f - 5*f + 2*r + 127. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-8)*-1 - 413\/(-28). Suppose 3*q - b = -4*q. Suppose -3*g - 41700 = -3*u, 0*g + 27800 = -q*g + 4*u. Round g to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -0.98787\nAnswer: 11.85444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 - 4992 = -264*r - 223*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let x(s) = -4338*s**2 - 2*s. Determine i(x(y)).\nAnswer: 8676*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -866420.9 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 341927351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from kzkfftf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6362.9 - -6363. Let v = -5 - -5. Which is the closest to f? (a) 4 (b) -5 (c) v (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2919 divided by -30?\nAnswer: 973\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*w - 65 = -8*r, -5*w = -r + 29. Suppose -9*l + 7395 = 7341. Is r less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-63) - ((-800)\/756)\/(-5)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -652, -1530, -2770, -4372, -6336?\nAnswer: -8662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/4, -2\/9, 27665.\nAnswer: -2\/9, 0.1, 1\/4, 27665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0179, -0.37, 0, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 65 = 6*r - 5*c, 5*r - 3*c = 55. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 17*q - 44 + 64 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*r**4 + 14*r + 44*r**4 - 21*r**4 - 28*r**5 wrt r.\nAnswer: -560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3485792 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114840720 divided by 96912.\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, h: 3}. What is prob of picking 2 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*(sqrt(117) + 1))**2 - (5 + (1 + sqrt(117))**2)) - (-1 + 5 + (-2*(sqrt(117) + 2))**2).\nAnswer: 144*sqrt(13) + 3268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 - (-2 + -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257*h**5 - 4*h**2 - 616*h - 1 wrt h.\nAnswer: -15420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21807 by -9.\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*t + 12, s = -4*s - t - 3. Let l = -0.66 + 0.9. Let o = l + -0.04. What is the nearest to s in 2, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 86106 = 85458 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6262?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057611 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 11526*o - 11525*o - 11 = 0, 4*n = 3*o - 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*o + 20 = 6*b, -5*b = -3*o + 15. Let h(d) = -d**2 - 6*d + 2. Let k be h(-6). Let m(t) = -t**k - 2 - 3 + t - 3 - t**3. What is m(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - 6*g + 4. Let p(f) = f**3 + 73*f**2 + 68*f - 292. Let u be p(-72). Let i(o) = 11*o**2 - 13*o + 9. What is u*i(d) + 9*k(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(h*h*h**(4\/3)*h))\/(h*h**(2\/9)\/h)**(-22) assuming h is positive.\nAnswer: h**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118.4074 - 0.2926. Let b = z + 114. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 21*i + 23*i = -16, 2*f - i + 12 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = h - 4*h - 425, 4*k - 290 = 2*h. Let d = -140 - h. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 2242\/11. Which is the second biggest value? (a) -0.2 (b) 2\/9 (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.2 and 3.61567998625?\nAnswer: 3.58432001375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*p + 770 - 907 + 9*p with respect to p.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -961*q + 117. Let a(p) = -240*p + 27. Let c(v) = -26*a(v) + 6*r(v). Let g(h) = 2*h**2. Give g(c(s)).\nAnswer: 449352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 4, m: 7, r: 6}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.85. Let b = -8.15 - s. What is the biggest value in -0.1, b, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27234\/68)\/(-89) + (-422)\/(-60). Let 14\/5*n**2 + 6\/5*n**3 + 4\/5 + o*n + 2\/15*n**4 = 0. Calculate n.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f**3 - 2*f**2 + 11*f - 6. Let k be h(-4). Solve 2*m = k - 686 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*c - 5 = -132*c. Suppose -4*p + 106 = -7*g + 4*g, -85 = -3*p + c*g. Which is greater: p or 76\/3?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 9*o + 13. Let t be d(2). What is the nearest to t in -5, -2\/3, 2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c + 16020 = 56*c. Let z = c - 6517\/6. Calculate the common denominator of z and -43\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34581 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/((-2)\/4). Let c be (-1)\/((w + 2)\/(-2)). Solve p = c*g + 13, -3*p - 9 + 32 = -2*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:27 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-7)*s)**(-17))**(-2\/37) assuming s is positive.\nAnswer: s**(-170\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2410741666 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, 0.5, -2\/62313, -1, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r - 6*r)*(-2 - 2 + 2).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607380 rounded to the nearest one thousand?\nAnswer: 607000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 351889*t - 352072*t + 226 + 172 - 4790 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16485 and 9998545.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1938 - 63. Suppose 0 = -3*g - o + 4554. What is the second derivative of -2*k - 865*k**5 + g*k**5 - 5*k wrt k?\nAnswer: 560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1 (b) 2 (c) 0.2 (d) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**27*u)\/u**(2\/63))\/(((u**(7\/2)\/u)\/u)\/(u*u\/((u*u**(-13))\/u))) assuming u is positive.\nAnswer: u**(5225\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1444)\/(-133) - 2\/(-14). Suppose -3*g + 497 = c. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 44*a**2 + 94*a + 92. Let j be k(-46). Put j, 1, -14, -5 in ascending order.\nAnswer: -14, -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 5. List the prime factors of i(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -180744, -361461, -542178, -722895, -903612?\n\"Answer: -180717*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m + 5118. Suppose -13 - 1669 = -2*d. Suppose m + d = -x. Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-37\/3))\/(h\/(((h**(-15)*h)\/h*h)\/h)*h)*(h**(-16))**10)**(-41) assuming h is positive.\nAnswer: h**(20131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (116 - 1)*(-2)\/45. Which is the smallest value? (a) 0.02 (b) v (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -21*s. Let a(b) = 39*b. Let v(i) = -6*a(i) - 11*l(i). Let k(u) be the first derivative of -2*u**2 + 27. Calculate k(v(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g - 798. Let m(y) = 3*y + 403. Determine -7*m(n) - 4*w(n).\nAnswer: -n + 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3621, -3623, -3625?\nAnswer: -3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1677548)\/(-16))\/19 - (-3)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 3. Let z be p(2). Calculate the remainder when 70 is divided by -1 + (-1)\/z*19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -9*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*t + 3809 = -2191 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5) - 57\/(-15). Suppose -45 = -3*h + p*c, 3*h + 3*c - c - 63 = 0. Let t = h - 13. Solve s + 2 = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -798, -1598, -2398, -3198, -3998, -4798?\n\"Answer: -800*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/142836 or -1?\nAnswer: 1\/142836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -93765991 divided by -51043?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**1*z)\/z)**(-2\/91)*(z*z**(2\/7))**(-5\/4))**(-35))**(-30) assuming z is positive.\nAnswer: z**(-3375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.457 + -0.5577. Let h = c + 0.0007. What is the second biggest value in 16, h, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/30 + o**4\/3 - 3*o**2. What is the second derivative of u(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215678365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25976215477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -437*w**3 - 19*w**2 + 30*w - 37. Let h be b(4). What is h rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 - 2*b - 5. Let d be m(-4). Let p(g) = 25*g**2 + 3*g - 4. Let u be p(d). Round u to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 + 270. Let b(v) = -2*v**2 - v. Determine b(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3072541807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 138740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 3*r**2\/2 - 13*r - 2. Is v(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36314 or -6\/613?\nAnswer: -6\/613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -536?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(304)*4)**2 - sqrt(304)) + 5 + 5 + 5).\nAnswer: -20*sqrt(19) + 24395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.405 in -0.2, -2\/7, -4, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3*s**2 - 11 - 10 + 36 - 11.\nAnswer: -3*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/2 - 516*a + 20330 = 0?\nAnswer: -1070, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 23 = 5*q, 0*q = 5*g + 3*q - 29. Solve 2*r + 1 + 3 = 3*m, 2*r = 5*m - g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d - 4*d)*(-8 + 12 + 6).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18622.03 rounded to the nearest 10?\nAnswer: -18620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2968, 2671, 2382, 2101?\n\"Answer: 4*q**2 - 309*q + 3273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-8)\/20)*3*10. Calculate the lowest common multiple of 20 and 0 - i - (-8 - -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 1. Let q be (10 - 240\/20) + 11 + 0. Is q at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(176) + (sqrt(176) + -2)*3 + sqrt(176) + 4*(sqrt(176) - sqrt(176)*-3)))**2.\nAnswer: -36288*sqrt(11) + 2795472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -230 + -2?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1120300836 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 233048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 245a72 (base 16) in base 7?\nAnswer: 26151630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7292*q**5 - q**3 + 5699*q**2.\nAnswer: 437520*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3)\/3 + 660\/(-297)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, b: 1, m: 1, f: 1}. What is prob of picking 1 b and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8647348ml in litres?\nAnswer: 0.0008647348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(192) + -5 + (2*sqrt(1944))\/sqrt(8).\nAnswer: -5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0 (c) 3 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.7 - -10.8. Is d greater than -5.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37473\/22 + 1703. Let m = -361\/11 - y. What is the common denominator of m and 29\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 20*f + 2. Let y be r(-20). Let w = 7377 + -7369. Let z(x) = x**2 - 2*x + 2. Let p be z(3). Which is the closest to y? (a) w (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 22*s = 20*s + 3, 3*s = i - 4. Let l = 44\/5 - 46\/5. Is l <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/76660005 and 181\/153320010.\nAnswer: 153320010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -118, 2, 0.4, 0.3.\nAnswer: -118, 0.3, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*l + 234, l + 297 = -5*a - 6. Let m be a\/(-9) + 12\/54. Suppose -m = -5*d + 38. Calculate the remainder when 34 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 4*i**2 + 5*i**2 + (6 - 6 + 7)*(-i - i + 3*i)*(-5*i + 3*i + i) to the form d*i + g + w*i**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 + c + 55 - 5*c**2 + (2 + c - 2)*(c - 3*c + 4*c).\nAnswer: -3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-1 - (-1 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80606 + -8286. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2900786 - -0.007.\nAnswer: 2900786.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -19\/2. Let t(z) = z + 6. Let r be t(-6). Let k(o) = -o. Let i be k(r). Which is the closest to -0.1? (a) i (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 8*d - 4*p - 12, -2*p = -d + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(190) + 1*sqrt(190)*-5 + sqrt(190))*-6)\/(sqrt(10) + sqrt(80)\/(sqrt(32)\/sqrt(4)) + (sqrt(100)*-1)\/sqrt(10))*-5.\nAnswer: -90*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142271\/5352 + -319\/12. Let s = 677\/14272 + f. Let q = -167\/832 + s. Which is the closest to -0.1? (a) 1 (b) q (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 381173 and 92105?\nAnswer: 24776245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emqm when four letters picked without replacement from qqqmemeqmqmq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**3 + 5*u**2 + 5*u + 7. Let p(n) = -3*n**2 - 2 - 10 + 8 - 3*n + 4*n**3. Determine -3*l(c) - 5*p(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g - 5*v - 16, 0 = -g - 3*v - 10. Suppose d - 4 = -4*b + g, b = 2*d - 30. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -389*x - 2 - 858*x**3 + 5 - 142*x**3 wrt x?\nAnswer: -6000*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838803 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*f**3 + 5*f**3 + 2*f**2 + 1 as o + y*f + j*f**2 + k*f**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1957 - 1905. Solve 7 - h = -9*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.3, -0.05, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51\/(-68) + 11\/4. Solve -z*u + 12 = p, -4*u + 0*p = -p - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*i - 28. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529966499.\nAnswer: 529966499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4045524.3 and 0.22285.\nAnswer: -4045524.07715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23197 is divided by 380.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 2 - 2)*(z + 0*z + 4*z)*(-345*z + 758*z + 1452*z).\nAnswer: 9325*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.71 and 52765983.1?\nAnswer: 52765971.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -1*sqrt(6)*-3 - (sqrt(216) - 3*sqrt(216)))\/(2*(sqrt(128) + sqrt(8)) - (sqrt(8) - sqrt(16)\/sqrt(2) - sqrt(8))*-5).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*-2*4\/(-12).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1561 + 1573 - 3133 - 811*n as q*n + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3249 * -91\nAnswer: 295659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -491549.322 rounded to the nearest 10?\nAnswer: -491550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8494375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 1. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 3 - 6) + 6. Suppose -2*t - t = -z + 28, -2*z - 2*t = -72. Suppose -25 = -5*q, 2*c - 37 = -h*q + z. What is the lowest common multiple of 22 and c?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from mdmdmdddmmdmdddm?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-6))\/(9\/(-6)). Let t be (-1*(4 + -3))\/(o\/(-15)). Factor -2 - 112*l + t*l**2 + 238*l - 3 - 116*l.\nAnswer: 5*(l + 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and (0 + (-75)\/(-10))*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f**2 - 13*f**2 + 31*f**2 + (-2*f - 4 + 4)*(-f + 3 - 3).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236426427 by 610921.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(14\/((-336)\/(-306)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 9:29 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367810 is divided by 33361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.2 - 18. Put -0.3, d, -4, -5 in increasing order.\nAnswer: -5, -4, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5988.413 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(4 - 1110\/278). Let q = -136 - f. Solve q*g = -2*p, -g = -4*p - 2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-2))\/((-620)\/8680*7\/(-2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 3 = 3*s, -225*s + 327*s - 105*s = -q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4 + 3*x + 4*x + 4*x - 8*x. Let t(f) = 2*f + 5. Let u(a) = -4*q(a) + 3*t(a). What is the derivative of u(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132 - 143 + 91 + (0 - 3 + 1)*(-1 + 1 - 2) - 3 + 2 + 2)*(-3 + 3 - 2*a**2) as g*a + z + r*a**2 and give r.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*l + 5 = 0, -9*b - 3*l - 35 = -13*b. Suppose 53585 = b*r - 58545. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81452 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(17\/34). Let l = 1 + k. Suppose 4*t = -4*w + 88, -64 = -3*t - 2*w - l*w. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457669 is divided by 1188?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 475f?\nAnswer: 475d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/40 and 79\/152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 + 4. Let n = 1.96 - -0.04. Sort 0.2, r, n in ascending order.\nAnswer: r, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -9, 3 in decreasing order.\nAnswer: 3, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 38. Let u = -20 + f. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutwmduutuhhudh. What is prob of picking 1 h and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 16. Let f(l) = 3*l - 25. Let v(o) = -5*f(o) - 8*n(o). Suppose 5*j - 15 = 2*j. Give v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + 0 + sqrt(684) - (-2 + -5*(sqrt(684) + 2*sqrt(684)))**2.\nAnswer: -153911 - 354*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 - p**2 - 1 - 1 + 3*p)*(-6 + 6 + 7)*(66 + 0 + 44)*(-p - 3*p + 3*p) as l*p**2 + b*p + a + u*p**3 and give b.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:16 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*h**4 - 3*h + 12*h + 129*h**4 - 260*h**4 - 2 - 3*h**2 - h**3 to s*h**3 + m*h + x + r*h**2 + a*h**4 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1520748759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 2 + 0*g + 0*g**3 - g**2 - 19*g + 18*g to the form u*g**3 + b*g + o*g**2 + w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -649365 - -649370. Let b = 2.94 - -0.06. Suppose 2*o = 5*f + 48, 4*o - 2*o + 24 = -4*f. What is the smallest value in f, n, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001 + 2122110?\nAnswer: 2212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80950 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 288*u + 2 - 130*u - 2 - 157*u - u**3. Let a(m) = m. Determine 5*a(b) - g(b).\nAnswer: b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 26*p + 4718. Let o = p - 670. Suppose 0*j + 10 = j. Sort o, -2, j in ascending order.\nAnswer: -2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(2\/4*-3). Suppose 5*u - m = -2*s - 0, -s = -3*u - 3. Find the third derivative of -x**5 - 3*x**2 + x**2 + u*x**2 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6 - 6 + s + 0 - 1. Let y be f(15). Suppose 0 = -d + 27 - y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 0. Let x = r + 18. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 99 + 290*p - 95 as w + b*p and give b.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmy when three letters picked without replacement from rjjryjbsjjsbmbjjrjmj.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + 334 - b**2 - 2*b**3 - 8*b - 336 - b**4 to k + r*b**4 + v*b + u*b**3 + h*b**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 12*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1502112.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 23. Let s be 2*(-1 + 3) + m. Let a(r) = r**2 + 4. Let c be a(0). Solve -4*d + s + 3 = -x, 22 = 2*d - c*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*r - 57*r - 579*r.\nAnswer: -1031*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - -4 - (-1 + 3). Let q(b) = -b**3 - 9*b**2 + 3*b + 8. Let o be q(-9). What is the smallest value in 2\/13, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + 0.15. Which is the second smallest value? (a) 1 (b) 4 (c) m (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/10*(15*32\/256)\/3?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2 + 1) + -1. Suppose 2 = x - 0. Let a be -1 - -4*s\/x. Put a, 2, 3 in decreasing order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (((sqrt(36)\/sqrt(9))\/sqrt(2) - sqrt(2))**2 - sqrt(2) - sqrt(2)) - 1*sqrt(14)\/sqrt(7))*5.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 + 4245 = -4*q. Let p = q + 2708. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 32*u**2 - 226*u - 72. What is o(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1500*b**2*w**3 + b**2*w**2 - 13*b**2*w + b**2 - b*w**3 - 24*w**3 + 2*w**2 + 14 wrt w.\nAnswer: 9000*b**2 - 6*b - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.797 + 5.097. Which is the smallest value? (a) -2\/3 (b) 3 (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 - 3*w**2)*(4 + 1 + 2).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 742, 1837, 3574, 6073, 9454?\nAnswer: 13837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1221132*i**2 + 114823*i - 1884. Let y(r) = -203522*r**2 + 19137*r - 306. Let m(o) = -6*c(o) + 34*y(o). Determine u so that m(u) = 0.\nAnswer: 15\/319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + u + 26. Let k be c(0). Suppose 0*i + i + 5*d - k = 0, 2*i - 2*d - 112 = 0. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*238\/68.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011677919 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*((-1225)\/(-14))\/35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -378181.7714 to the nearest one thousand.\nAnswer: -378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (26 - (8 - (4 - (-10 + 0))))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(3*b + b - 6*b)*(-40 + 35*b**2 + 40) to the form x*b + i*b**2 + d + j*b**3 and give j.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/6) + 7. Let f = 7 - 4. Let s be (-220)\/2*(2 - f). Calculate the greatest common factor of s and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h + 4. Let o be m(3). Suppose 5*w - 6*w = 4. Which is the third smallest value? (a) o (b) w (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let h(i) = -i**2 + 4. Suppose -2 - 56 = -a. Let f = 59 - a. Let w = 19 - 16. Calculate f*h(t) + w*g(t).\nAnswer: 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 534, 802?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 5*z**2 - 175*z - 1109. What is u(-6)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 6. Let p(v) be the second derivative of v**5\/30 + v**4\/4 + v**3\/6 + 2*v**2 - 2*v. Let y(b) be the first derivative of p(b). Determine y(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/3*92\/12. Let r = b - -70. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + 0.2. Let m = q - 0.9. Let h = -209\/5 - -42. Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74589 and 5405.\nAnswer: 372945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001571114 rounded to 7 decimal places?\nAnswer: 0.0001571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 491, -1, -2, -7 in ascending order.\nAnswer: -7, -2, -1, 11, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/180*(-226)\/17. Let o = 4\/51 - l. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 5*b - 4*b)*(2*b**2 + 0 + 0)*(0*b + 5*b + 0*b + (-1 + 3 - 1)*(-1 + 3*b + 1)) as d*b**2 + r*b + q*b**4 + s*b**3 + m and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 34 - 13. Suppose i*s - 2*g + 181 - 688 = 0, -2*g = s - 169. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 113, 126, 155, 206, 285, 398?\n\"Answer: w**3 + 2*w**2 + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9. Let n(s) = -2. Let w(f) = j(f) - 5*n(f). Let r be 6\/(-8) - (-1)\/(-4). Let a(d) = 2*d - 1. Calculate r*a(z) - w(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + n + 2*n + 5*n - 8*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-98)\/108)*16\/(-28)*(-8183)\/1002?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 - -2.43. What is the closest to 1\/6 in -0.3, 3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(75)*-2 - (-4 + sqrt(3) + -1)) + -2) + 5.\nAnswer: -10 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 p, and 1 y when four letters picked without replacement from {p: 2, f: 1, z: 2, y: 1, g: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {z: 2, m: 3, k: 1, b: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b**2 - 9*b - 8613 wrt b.\nAnswer: 14*b - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85027 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*527799.\nAnswer: -1583397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 - 2565*d - 5150 = 0.\nAnswer: -2, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.565 + 2.065. Put 3\/2, -0.07, 3\/10, z in descending order.\nAnswer: 3\/2, z, 3\/10, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f - 2*c + 7, -2*c = 5*f - 5. Let h = 184 - 181. Put -21, h, f in increasing order.\nAnswer: -21, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - -835323179.\nAnswer: 835323178.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6907, -27619, -62137, -110461, -172591, -248527, -338269?\nAnswer: -441817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - m - 1 = 0, 3*m - 3 = 5*b - 2. Suppose 0 = 4*a + b - 9. Solve 3*z - 11 + a = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f**2 - 1050*f - 2155. Give y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.7. Let y = 0 - b. Round y to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391616 is divided by 92?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214130440 - 4?\nAnswer: -1214130444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -61. Let i = -2 + 62. Suppose 2*n - 5*n + i = 0. Calculate the greatest common factor of b and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/1363 - 6839\/5452. What is the third biggest value in 5, -0.051, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 753 or 754?\nAnswer: 753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by 3.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69255 - -2?\nAnswer: 69257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f**3 - f**2 + 0*f + 0 - 1\/24*f**4. Let d(h) be the first derivative of -h**2\/2 - 2. Give d(u(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 - 19 = 0. Suppose 5*m + 1148 = 353. Is (y\/9)\/(2\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1738789*n**2 - 342*n + 121?\nAnswer: 3477578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.65 - -54. Which is greater: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctctccctt. What is prob of picking 2 c and 2 t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1928487?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b**2 - 1. Let j be u(2). Let n = j - -14. Solve 4*v - 2*h = 6, 3*h = -0*v - v - n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 16 + 17819*u**2 + 27 to the form c + y*u + k*u**2 and give k.\nAnswer: 17819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 26 = l. Let t be 4*1 - l\/13. Solve -2*o + t*o - 16 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/((-4130)\/900))\/(((-20)\/(-16))\/(525\/120))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 41*k**2 - 315*k + 193. Give l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10905 - 10683. Solve 15*v + i = 162 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0 = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 829657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1224972 (base 10) to base 5\nAnswer: -303144342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -27*o - 14. What is the hundreds digit of g(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - q - q + 17*q as o + z*q and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -35. Let k(p) = -p**3 + 11*p**2 + 2*p - 7. Let w be k(g). What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdtltttltdlldllt. What is prob of picking 1 d and 3 t?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 38*v**3 + 2*v - 1. Let n be w(1). Let i = 106 - n. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 + -104. Let t(u) = u**2 + u - 14. Let x be t(5). Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88185 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 1560087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 + 2 + 16*n - 224 - 115 + 2*n**2.\nAnswer: 2*n**2 + 16*n - 575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -83204*f + 83202*f - 2690*f**2 - 5562*f**2 as u*f**2 + y + j*f and give u.\nAnswer: -8252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 51*i**2 - 116*i - 13. Give x(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c - 11*c + 18*c - 2*c - 5*c**3 - 1 - 7*c**2 as p*c**3 + h*c + g*c**2 + q and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 164*u - 162*u. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*l - 4827 + 901 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -0.5 (c) -6 (d) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**2 + v**2)*(-v + 0*v + 3*v) + 3*v**3 - 5*v**3 + v + v**3 + (-3*v**2 - 2*v**2 + 7*v**2)*(4*v + 18*v + 13*v).\nAnswer: 73*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 + 0 - 4*p**4 - 10738*p + 10819*p + 38*p**3 + 2 wrt p?\nAnswer: -36*p**2 + 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2417963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 6*h - 6. Let j be k(-4). Suppose 0*x - 6 = -j*x. Suppose -d - 14 = -9*l + 4*l, 0 = x*d - 4*l - 2. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-422)\/(-38) - (-28)\/(-266)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.75 + -0.75. Let l = -0.189 + 0.069. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/3400*25*8\/498?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434062, -868554, -1303046, -1737538, -2172030?\nAnswer: -2606522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 18*x + 5. Determine m(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1539) + sqrt(1539)*4)**2*-6 - sqrt(1539)).\nAnswer: 18*sqrt(19) + 461700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.237549\nAnswer: -1.187745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = 3*s. Let p = s + 32. Let z = 92 - 85. Solve -5*j = -5*b + p, -2*j - b = -4*j - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 113*h + 5 + 11 + 7.\nAnswer: -113*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8933*m**2 + 2298*m**2 - 463*m**2 + 1704*m**2 + 5103*m**2.\nAnswer: 17575*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -202704\nAnswer: 608112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 33*g = 4. Suppose 5*w = 3*h, -g*w + 2*w = -h - 1. Suppose -5*j = 2*u + w, u + 3 = -5*j - 1. Solve 0 = 2*l - l + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 529\/655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 98. Let i = 27.78 - m. Let l = i - -1.22101. Round l to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h. Suppose 3*z = -2*z + 15. Suppose -z*d + d = h. Sort -4, d, 3 in descending order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -35*i + 1. Let c(n) = -n - 6. Let y be c(-3). Calculate the remainder when o(y) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Suppose 5*w - 17 = 8. Suppose h*k - 40 = -w*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 2:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -331 (c) 0.2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 10*g + 35. Let j(r) = 4*r + 22. Let l be j(g). Let u be ((-1)\/l)\/(2\/4). Let z(n) = 2*n**2 - 2*n - 1. What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129\/2 + 71. What is the common denominator of x and 75\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/20160 - i**7\/1008 - i**6\/720 - i**5\/30 - 4*i**2. Let l(j) be the third derivative of b(j). Give l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120322 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 19*x**2 + 12*x + 1721. Let j be r(-22). Solve 0 = -5*u - q - j, 35*u = 32*u - 3*q - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 less than 1\/32090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 + 9*p - 2. Let o(j) = 4*j**2 - 8*j + 2. Let i(t) = -4*o(t) - 3*w(t). Suppose -36 = -3*f + 177. Let n = f - 68. Calculate i(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19853190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 - (9 + -8). Is t < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 4)*(-3 - -11)\/4. Suppose -o*r + 3*r + 36 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323722561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 + (15 - 2). Let m(g) = g**2 + 43*g + 193. Let u be m(-38). Solve 3*y + u = -r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (39 - 15) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3092231\/901 - 3432. Let g = i + 19829\/6307. Find the common denominator of g and ((-8)\/20)\/(12\/(-415)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5111*y + 5118*y - 12096. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 79*z**2 - 44*z - 160. Let u be b(-40). Sort 4, 0.05, u, 11, -0.1.\nAnswer: -0.1, u, 0.05, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**4\/3 - 68242*k**3\/3 + 1159460*k**2\/3 + 863968*k = 0.\nAnswer: -2, 0, 19, 34104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 621893528.\nAnswer: 1243787056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 30. Suppose 0 = w*o - 2*b - 2*b - 21, 5*o - 3*b = 24. Solve 4*c + 5 = -o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 + 128394*w**4 - 2311965*w**3 + 4238736*w**2 - 2055168*w = 0.\nAnswer: -42816, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 333026.1 kilometers in micrometers?\nAnswer: 333026100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11448*o - 423556. Calculate i(-37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -3*b - 63. Let n = 49 - b. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -29, 117, 0 in decreasing order.\nAnswer: 117, 5, 0, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17228866 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {j: 1, m: 1, k: 1, b: 5, t: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -426815 (base 9) in base 11?\nAnswer: -164111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 10 = 3*p, -26*p - r - 130 + 180 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52.32603 centimeters?\nAnswer: 523260300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3986\/67 and 58 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0 (c) 1\/7 (d) -1\/19 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, b: 5, d: 1, e: 1, t: 4, q: 1}. What is prob of sequence tubd?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/360 - q**4\/72 + q**3\/36 + 6*q**2. Factor w(y).\nAnswer: (y - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by (27\/(-12))\/(10\/(-160))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306487266.\nAnswer: 2, 3, 31, 1647781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*a = 28, -4*a - 1 = h - 17. Let k be 1 - (-1 - h\/(-4)). Let p(u) = -k - u + 3 + 2. What is p(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 13512.\nAnswer: 13512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6469\/4 - -1617. Which is the nearest to 2\/9? (a) v (b) -0.1 (c) -1 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1382, -1385, -1390, -1397, -1406, -1417, -1430?\n\"Answer: -l**2 - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5 + 0*c + 0*c**3 - 7\/6*c**6 + 0*c**5 + 0*c**4 + c**2. What is the second derivative of f(z) wrt z?\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -4633?\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101522, -101448, -101374, -101300?\n\"Answer: 74*p - 101596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 885*z**3 + 0*z + 1572*z**3.\nAnswer: 687*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, m: 8, b: 1, v: 2, o: 2}. What is prob of sequence vjob?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 39 = -18*a + 13*a, 0 = -5*g - 4*a + 39. Suppose w - 3*f = -6, -w = 3*f - f - 4. Suppose 2*y = -w*y + 4. Solve -g*r = -4 - y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 426 or 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 7*k**2 + 8*k - 9. Let s be n(6). Let f(h) = 3*h**2 - h**3 - h**2 + 3*h + 2*h**3 - 2*h**3 - 4. Give f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25258368*f**2*g**2 + 12*f*g**2 + 38*f*g + 5*f - 90*g - 2 wrt f?\nAnswer: 50516736*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1251360 (base 9) to base 5\nAnswer: -133331440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, 2117 in decreasing order.\nAnswer: 2117, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7285\/56 - 1115\/8. Which is smaller: -9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + y**2 - y - 1. Let r be v(2). Let g be (1155 - r)*(-2)\/(-6). Let q = g + 78. Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7258 - 979811\/135. Let n = -492323\/15 - -32817. Find the common denominator of n and j.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 977, 1854, 2731, 3608, 4485, 5362?\n\"Answer: 877*y + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97859569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 8 = 0. Let m(p) = p**3 + 1. Let n be m(-1). Solve o*t + n*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60578 and 58254?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y - 109. Let m be w(-14). What is the third derivative of 8*h**4 + 12*h**3 - 5*h**4 - m*h**3 + 6*h**2 + 50*h**2 wrt h?\nAnswer: 72*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3222210310 (base 4) to base 9\nAnswer: 1723887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-63) + (-36)\/(-42). Let h(d) be the first derivative of -6 - 2*d**2 + 4\/5*d**5 + d**4 + s*d - 4\/3*d**3. Factor h(a).\nAnswer: 4*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 9:19 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -7. Let w be -1 + 0 - (h + 11). Let u be w\/3 + 44\/6. Let c(p) = 6*p**3 - 7*p + 7. Let r(t) = 2*t**3 - 2*t + 2. Determine u*r(b) - 2*c(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 180, 52*k + 3*v - 5*v = 55*k + 2*v - 81 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j - 2*j - 6*j + 4*j.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 + 78 = 22*f - 8*f + 5*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.8 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48424 or -48441?\nAnswer: -48441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 87712?\nAnswer: 2894496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -13, -4 in descending order.\nAnswer: 23, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2210*g**3*v**2*y + 6*g**3*v**2 + 2*g**3*v + g**2*v**2 + v**2*y**3 - 17*v**2 with respect to y.\nAnswer: -2210*g**3*v**2 + 3*v**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1453 + -678. Let r = 1594 - q. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1287, -7, -5 in descending order.\nAnswer: 1287, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-20)*k**(-8)*k assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/3269 and 83\/18680?\nAnswer: 130760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.9 - 42. Let c = 46304 + -4815541\/104. Let o = -7\/8 + c. Is o at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 1806673?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let r be (-919997)\/(2 + q + -1). Suppose 4*k + 3*l - r = 0, 0 = 4*k - 0*k - l - 920001. Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + 4 - 6*u**3 + 5*u - 9*u**3 + 3*u**3 - 4*u**2 to the form o*u + v + z*u**3 + l*u**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 35777 - 3*o**3 - 35055 + 4*o**2 as s*o**3 + q + c*o**2 + k*o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -43*j - 1. Let a(h) = -1. Let x(q) = q. Let n(g) = a(g) - 5*x(g). Let i be n(1). Is f(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -79. Let g(u) = -30*u + 30. Calculate the least common multiple of g(0) and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6)*6 + -8)*((-147)\/(-14) + -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + 2 + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9035845723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 - 10*i**2 - i. Let m(d) = 6*d**3 + 11*d**2 + d + 1. Let o(c) = -6*m(c) - 5*v(c). What is the least common multiple of 10 and o(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -2, -7.\nAnswer: -12, -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26703*h**3 - 12453*h**3 + 580*h**2 + h**4 - 12112*h**3 wrt h.\nAnswer: 24*h + 12828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 992160?\nAnswer: 6945120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 141859521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464365 + 5311?\nAnswer: -456054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80203497*r**2 - 77644713*r wrt r?\nAnswer: -160406994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p + 2*p)*((3*p + 2*p**3 - 3*p)*(2 - 4 + 0) + (2*p + 0*p - p)*(-1 + 1 + p**2)) - 126*p**4 + 791*p + 776*p - 1557*p.\nAnswer: -129*p**4 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -260945 divided by -5\nAnswer: 52189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1459167\nAnswer: 4\/1459167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d + 0*d**3 + 0*d**5 - 4*d**2 - 3\/20*d**6 + 0 + 1\/3*d**4. Factor o(p).\nAnswer: -2*p*(3*p - 2)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5972 - 3996. Is c a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Which is the nearest to -2? (a) -1\/11 (b) z (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 3. Let o be y(3). Let j(n) = 37*n + 370. Let g(w) = -65. Let u(c) = 6*g(c) + j(c). What are the prime factors of u(o)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -87*w**3 - 3*w**2 - 5*w - 3. Let v be c(-1). What is the common denominator of -77\/15 and (17\/(-51))\/(4\/(56\/v))?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**8\/1440 + d**7\/315 - d**6\/270 - 29*d**4\/12 + 27*d**2. Let f(l) be the second derivative of q(l). Factor f(y).\nAnswer: 2*y*(y + 2)*(7*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 2*c - 1. Let t be z(-1). Suppose 49 = -t*k + 163. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2209616, 2209618, 2209620?\n\"Answer: 2*i + 2209614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*g**3 - 100*g**3 - 71*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32880\/54 - 170\/(-153)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.837, 46411, -0.5 in increasing order.\nAnswer: -7, -0.837, -0.5, 46411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = m + 2, -3 - 1 = 2*z - 2*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*z - 78*z = -1170. Suppose z + 522 = 3*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -1.8.\nAnswer: -1.8, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27537 + 19*o - 8982 - 9277 - 9278.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-222)\/(-148)*2\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1713 to three decimal places.\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 13*m + 27*m = 76. Let f be 2\/3 + 68\/6. What is the greatest common divisor of m and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.342 + 1.332. What is the nearest to 0 in -3, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874995212.\nAnswer: 2, 7, 13, 31, 77543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9 + 5 - 3*a - 1. Let w be (-11)\/(-22)*(7 - 1). Let b(k) = -5*k**2 + 3*k. Let v(z) = 13*z**2 - 8*z. Let f(c) = w*v(c) + 8*b(c). Calculate j(f(y)).\nAnswer: 3*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*p - 15, 28 = -4*p + m - 5*m. Suppose 4*f - 4 = 16. What is the second smallest value in f, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111354 and 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + w - 5. Let m(x) = -3*x**2 - 3*x + 6. Let g(f) = 4*d(f) + 3*m(f). Let s(h) = h**2 + 9*h + 4. Calculate -5*g(z) - 3*s(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 36. Let v(s) be the second derivative of s**4\/12 - s**3\/6 + 3*s**2 - s. Let i be v(t). Let w(f) = f - 12. What is w(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6672\/11 - -606. What is the nearest to 1 in 0.7, b, -0.41?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -w + 6 + 12, 0 = 3*w - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16585132679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 76*g**2 + 407*g - 150. Let w(h) = -2*h**3 - h**2 + 34 - 2*h**3 + 5*h**3. Calculate the remainder when w(0) is divided by u(81).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (2 - 0))*-2. Suppose g = 6*g + 15. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 + 3 = 4*i, 5*k - 15 = 5*i. Suppose 4*z = -y + 21, 6*z - k = 3*y + 4*z. Let a(v) = 7*v**2 - v + 2. Give a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 351*n**2 + 9*n - 402*n**2 - 2 + 354*n**2 wrt n?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.88 less than -12?\nAnswer: -261.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17158.00000080432 - -17158. What is d rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 1. Let c be r(-8). Let x(u) = u**3 + 7*u**2 + u + 6. Let q be x(c). What is the tens digit of (-38)\/(0 - (q + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -1 - (-2 - -1). Suppose 5*r + 25 = -g - 0*r, 15 = -3*g - a*r. Suppose 4*s + s + 20 = g. Put -2, s, -5 in descending order.\nAnswer: -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3 + 18 - 15*m**4 + 17*m**4 + 6*m**3 - 50 wrt m?\nAnswer: 8*m**3 + 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/5443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 772369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 25\/3*f + 10 + 5\/3*f**2 = 0. What is f?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 4*s**2 - s**4 + 179*s**3 + 200*s**3 - 380*s**3 to c + v*s**3 + f*s**2 + q*s + j*s**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 38, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152386276 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16229789.22 rounded to the nearest ten thousand?\nAnswer: -16230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 27*j - 2. Let a(z) = 1. Give -4*a(k) - m(k).\nAnswer: -2*k**2 - 27*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5490342 divided by -1287?\nAnswer: 4266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4870 = -664*x + 2683 - 2241 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 16*s. Suppose 7*h - 111 - 71 = s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 3, -12, -45, -102?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16086 divided by -3\nAnswer: -5362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 4*c - 2*c. Suppose -5*w = -c + 2. Suppose -5*g = -3*u - 16, 2*g - 7*g + w = -u. Solve g + 3 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from jkhde.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let u(j) be the second derivative of j**5\/40 - j**3\/2 + 3*j. Let v(i) be the second derivative of u(i). Calculate n(v(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 440, 4, 6, -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 21 + 2 - 5*d - 10 to r*d + t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5656668*n + 5656671*n + 10 + 8 in the form g*n + r and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -41369*c**2 + 82740*c**2 - 41374*c**2. Let d(g) be the third derivative of 23*g**5\/60 + g**2. Calculate d(t(x)).\nAnswer: 207*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11))**(-10\/3))**(7\/3) assuming u is positive.\nAnswer: u**(140\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*r - 183 = 511 + 2402. Calculate the least common multiple of r and 764.\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 180*q + 29. Let x(h) = -5*h. Give x(j(i)).\nAnswer: -900*i - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 - 4035*f + 20169. Give o(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 91. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12191290, -12191292, -12191300, -12191314, -12191334, -12191360?\n\"Answer: -3*b**2 + 7*b - 12191294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, -27, 6, 2, -5, -90?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 10*h + 628. Give l(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*u = -4*r + 382*u + 39, -4*r + 5*u = -65 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2055067238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udhd when four letters picked without replacement from {p: 4, h: 1, d: 5, u: 6}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 143*x**2 - 86*x. Let o(v) = -71*v**2 + 43*v. Let n(m) = 6*h(m) + 11*o(m). What is the second derivative of n(f) wrt f?\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 543\/5, 0.28, 1.01 in descending order.\nAnswer: 543\/5, 1.01, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322471 and 51322?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(128) - sqrt(128)*1) - sqrt(128).\nAnswer: -8*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 25*l + 760. What is o(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let u be 0\/((s - -2)\/2). Suppose -3*k + 166 - 13 = u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1178 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) 0 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/59? (a) 11 (b) 75 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*q**2 + 40*q - 31*q + 42*q + 32*q wrt q?\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/10 + (-36 - (-10890)\/300)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12195194 and 5830.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2299)\/(-165) - (-6342)\/(-6795)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.41475 and -47169?\nAnswer: 47172.41475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {t: 4, u: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2631676?\nAnswer: 2, 173, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.3\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) - (-1*sqrt(1029) + sqrt(1029)))\/(sqrt(21)\/(sqrt(7)*3 + sqrt(7) + sqrt(7) - sqrt(7)))*-1.\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/31, -5.\nAnswer: -5, 2\/31, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2 + 18*l + 2. Let p be b(3). Suppose 3*i = p*i + 6193. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 791?\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-24) - 375\/(-120). Calculate the common denominator of 2\/(-5) + (-592)\/20 and 1135\/1260*m + (-6)\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -434, 65, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 4*f**2 - 6 - 10 + f**3 + 4 - f. Let n be t(5). Let j = -494\/7 - -70. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjex when four letters picked without replacement from jdhjxjej.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**8\/840 + a**7\/180 - a**6\/180 - a**5\/60 - a**4\/12 + 3*a**2. Let j(r) be the second derivative of y(r). Factor j(v).\nAnswer: -2*(v - 1)**2*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -3, -9511 in increasing order.\nAnswer: -9511, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*y - 24*y + 23*y - 1709 = 2071 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2798*s. Let n(j) = -2*j**2. What is m(n(i))?\nAnswer: -5596*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2163 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4538931\/4 or -1134734?\nAnswer: -1134734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53\/5 - -11. Determine k, given that -2\/5*k + w*k**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -12. Let d(l) = l**3 - 6*l**2 + 2*l - 8. Let w be d(6). Suppose k - r - p = w*k, -4 = k - 4*r. Which is the nearest to -1? (a) k (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-13)*a)\/((a*(a*a\/(a\/(a**6\/a*a)))\/a)\/a)*(a**(3\/4))**(-1) assuming a is positive.\nAnswer: a**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034 and 1951064.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1330453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 80 - 240. Let x = -30 + s. What is the third smallest value in -5, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -297 - -339. What are the prime factors of -1*((-2)\/(-6) + (-35546)\/o)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16697+0.15\nAnswer: -16696.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20377 = -20371 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:38 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 + 17894*y**4 - 12131424*y**3 = 0 for y.\nAnswer: 0, 739, 8208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3787*k + 22 + 26 - 79 + 31 to the form a + j*k and give j.\nAnswer: 3787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397700 rounded to the nearest 10000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**2 + w + 2 + 6*w**2 + w. Let h(j) = j**3 - 7*j**2 - j + 1. Let m be h(7). Is 11 a factor of t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -225*r**5 - 3*r**4\/2 - 4*r**3\/3 - 4*r + 2533. Find the third derivative of o(m) wrt m.\nAnswer: -27000*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -28, -22, -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**5\/20 - i**4\/2 - 22*i. Find the third derivative of p(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c*p - 6*c - 26*p with respect to c.\nAnswer: -8*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, 0.4, -0.3, 0.5.\nAnswer: -19, -0.3, 0, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 919397366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109898931?\nAnswer: 3, 17, 2154881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:39 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/325788 and 115\/16778082.\nAnswer: 33556164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112.5? (a) -5 (b) -1\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -1 - (-3 + 1). Let x be 2*(1 + (-3)\/(-6)). Let i(l) = 9 - x*l - 6 + 2*l + 0*l. Give i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 32*r - 29898. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -5248628?\nAnswer: -5248631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + ((-12544)\/(-84))\/(-56)*3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 20*a**2\/3 + 1112*a\/3 - 1132\/3 = 0.\nAnswer: -283\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54867 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(176) + 2)**2 + -2.\nAnswer: 16*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.12 and -312797109?\nAnswer: 312797109.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 615167101 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.983 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrfffff. What is prob of sequence ff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1309*w**2 + 275*w - 276. Determine x(1).\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 10, 2\/3, -13\/4, -79, -3?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 + 0 + 0)) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3 = -n, 5*q + 2*n = -48*n - 50*n + 24*n - 411 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.56 - -0.14. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(0 + 27\/(-6)). Let a = 16 - l. Suppose 0 = -3*k + a + 350. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c4596d - 1?\nAnswer: -3c45970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 15\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/23, -691, -70.1 in increasing order.\nAnswer: -691, -70.1, 3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -19. Solve 0 = 2*d - 6*d - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1551 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 51 = -2*s. Let c be ((-1)\/2)\/(s\/(-102)). Let d(o) = 4*o**3 + 3*o - o**2 - 1 - 5*o**3 + o. Give d(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1\/((-3)\/(-12)). Suppose -3*j + 5*u - 28 = -t*j, 2*j - u - 4 = 0. Does j = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12260 + 49039\/4. What is the nearest to -5 in 1, 5, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 15.5. Let r = 2.3 + -2. Which is the third smallest value? (a) d (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) - 18340\/(-12280). Let b = 1242\/2149 + z. Let 0 - 8\/7*t**3 + 16\/7*t**4 - b*t**5 - 16\/7*t**2 + 12\/7*t = 0. What is t?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -2312?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzgvagggvogvgvgo. Give prob of sequence vovo.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 greater than or equal to 430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156421643 divided by -1?\nAnswer: -156421643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-10)\/(-45) + 145\/(-45) - 370\/(-592).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. What is the units digit of (m\/2)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533893435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y - 268. Let h be z(-19). Put 2, h, -3, 1 in ascending order.\nAnswer: -3, h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*f**3 + 0 + 0*f**2 + 0*f + 2\/11*f**4 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*s**3 - 2*s**2 + 1015*s wrt s?\nAnswer: 804*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -472 - 2?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 49*p + 19. Let w be o(25). What is the common denominator of -46\/31 and (-294)\/(-8) - w\/(-24)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u. Let x(b) = -b. Suppose 0 = 5*o + 2*d - 0 + 9, 0 = -o + d - 6. Determine o*y(m) + 18*x(m).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*l - 1440*b**3 + 50*b*l**4 + 5*l wrt l?\nAnswer: -2*b**3 + 200*b*l**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 7037610?\nAnswer: 14075220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*n + 8, -9*n - 5 = -8*n. Suppose 5*p + 2*u = p + 142, -5*u = -a*p + 101. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10589 + 6616 = 5*a + 4*i, 0 = -4*a + 4*i + 13728. List the prime factors of a.\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 12*b**2 + 22*b + 22. Let g be j(-10). Suppose 1173 = 2*s - k, -2*k + 4*k - g = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.60439 months in years?\nAnswer: 5.2170325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + (2 - 2 - 1)*(-3 + 3 - 2) - 7 + 37 - 9 + 3 - 4 + 3)*(-2*l**2 - 4*l + 4*l).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 20. Let l(p) = -p**2 + 5*p - 5. Let i be l(k). What is the closest to 1 in 0.2, 2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 236197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 7583 + 4199 = -15482. What are the prime factors of x?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = -f, -4*f = 4*o - 6 - 6. Suppose -268 = -f*l + l. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 86. What is the common denominator of 83\/198 and (-1165)\/30 + (-6)\/d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 13. Let k = -20666 + 20668. Solve -o + 5*o + b = k*j, -4 = -j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = 3*b - 49, 0 = -4*b. Suppose 1419 = f*p - 407. Calculate the remainder when p is divided by (-4)\/((-3)\/((-42)\/(-4))).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337*i**3*o - 2350*i**2*o wrt i.\nAnswer: 2022*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -22264540?\nAnswer: 22264526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1362607, -1362608, -1362609, -1362610, -1362611, -1362612?\n\"Answer: -s - 1362606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 281. Let m(h) = 4*h**2 - 2*h. What is m(f(l))?\nAnswer: 4*l**4 - 2250*l**2 + 316406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 - 15*y**3 + 30*y**4 - 5*y**4 + y**4 + 20*y - 5*y**5 - 25*y**2 = 0. Calculate y.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40109 = 13*t - 43962. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + 5*(5 + 4*(1 + sqrt(425)) + (-5 + sqrt(425)*-2)*-3)**2.\nAnswer: 12000*sqrt(17) + 215375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + 0.28. Let w = s + -0.2. What is the closest to w in 5\/2, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k + 2. Suppose k*u - 8 + 3 = 3*i, 2*i + 5*u = 22. Let c be i*2 - 0\/3. What is the highest common factor of c and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11616765817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 2\/7, -1\/3, -220, -3\/140, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193185\/16 - 12079. What is the common denominator of z and -65\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y**2 - 2*y - 11. Let h be z(-2). Let t = -66 - h. Solve -11*v = -6*v - t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55873 + 55872.99999950722. Round x to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48 = 4*k, 4*k - 26 - 23 = -5*s. Which is bigger: -1\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 12*f**2 + 5*f**2 - 29*f**2 + 7*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.48 times 0.234?\nAnswer: -46.91232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.3 + 20.3183. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1357043\/2 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-25) - (-1336)\/5. Let n = h - 143. What is the highest common factor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -317\/5. What is the closest to 2\/3 in 0, x, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -3, 10, 39, 90, 169, 282, 435?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195253976.\nAnswer: 2, 17, 71, 73, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2909?\nAnswer: -1\/2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 3\/4, -69, -1, -109, -2\/7 in increasing order.\nAnswer: -109, -69, -1, -2\/7, 3\/4, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 21) + 7 - (-1 + -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 44*x**3 + 45*x**3 + 34*x**3 + 5.\nAnswer: 123*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -2\/7, 0.54?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 22. Which is the smallest value? (a) u (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2965, 9, 3, 2 in ascending order.\nAnswer: -2965, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 71.6 and 3561511048.\nAnswer: 3561511119.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-14))\/(-5 + -1). Let s = -10 - -25.5. Let i = s + -16. Which is the biggest value? (a) l (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3159*q**3 + 2*q**4 - 1 + 3157*q**3 + q**2 - 7*q**2 in the form f + z*q**3 + l*q + o*q**4 + s*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let g(j) be the second derivative of j**3\/6 + 7*j**2\/2 - 20*j. Let t be g(-8). Determine f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2930217 and 15.\nAnswer: 14651085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose -18 - 2 = -n*t. Solve -3*k + 4*g + 4 = 3*g, 0 = 5*k + t*g - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4165 - 37435\/9. Let t = -29 + 44. Find the common denominator of (34\/t)\/(6\/(-20)) and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*q - 3024 = 207*q. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556272664 and 3335?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132717*f**2 - 132429*f + 288.\nAnswer: -3*(f + 1)*(44239*f - 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.6. Let l = -77076 + 77074. Which is the nearest to -2? (a) l (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169497 - -9?\nAnswer: -169488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*d - 2*y, -4 = 6*d - 8*d - 4*y. Solve 11 = d*q - 5*x, 2*q + 7 = q - 2*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.194 * -10.\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296112\/87759 + (-2)\/49.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1166*v**3 - 1482*v**3 + 314*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**2 - 10*z - 4*z**5 + 0*z**2 + 0*z**2 + 12*z**3 - 4*z**4 + 2*z = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21539604 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 38 - 873*a**2 + 30*a - 24*a.\nAnswer: -873*a**2 + 6*a + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100589 divided by -4?\nAnswer: -100589\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316559 is divided by 119684?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) + 0)**2)*5 + (sqrt(363)*1*-2)**2.\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -436454 at most -436454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = a. Suppose -4*v + i = -8, 0 = 2*v + a*i - 3*i - 6. Let g = -581 - -581. Put -0.1, v, -0.05, g in descending order.\nAnswer: v, g, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 15) + 0 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038980831 to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a + 574 = 1014 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*l + 25, -2*l = -2*y + 3*l - 11. Suppose -y*q + 4 = 10. Let z be 13 - (7 + q + 0). What is the highest common divisor of z and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18395 and 102370?\nAnswer: 376619230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294035 is divided by 1783.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 540 = f - 532, -i + 5*f - 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k + 11*k**2 + 6*k - 24 + 24 in the form t + n*k + l*k**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68))**2*4 + (sqrt(34)\/sqrt(2))**2*3 + (((sqrt(136)*2 - sqrt(136)) + sqrt(136))\/sqrt(8))**2.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 9335*i**2 + 9337*i**2 + 6*i + 2*i**3 + 3*i in the form j*i**2 + z*i**3 + s + u*i and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 5, a: 11}. What is prob of sequence ca?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17331 - 11138. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -47, 4\/5, -0.07, 1, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -650 divided by 1603\nAnswer: -650\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1936\/336 - ((-10)\/6)\/(-1). Let a = -24\/7 + t. Find j such that 0*j + 2\/3*j**4 + 0*j**3 + 0 - a*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17705, 17701, 17699, 17699, 17701?\nAnswer: 17705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y - 18. Does 2 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -13 (b) -2\/327 (c) 10 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 861?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 9, 19 - 13 = -c - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 39*m + 162. Let l be f(-34). Let s(d) = d. Determine s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 37 - (-215 + 266)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**8\/112 + x**5\/60 - x**2\/2 - 2. Let k(s) be the second derivative of d(s). What is the third derivative of k(i) wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -1 - (-40 + 0). Let v(c) = 33*c - 6. Let i be v(2). What is the highest common divisor of i and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12. Let c = 0 - -0.3. Sort c, 1, j in descending order.\nAnswer: 1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 24 - -6) + (-2 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.69 + 6. Let o = -0.11 + z. Which is smaller: o or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22538 - -11591. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 365*u - 721. Let c be j(2). Solve -m - i = 70 - 69, -c*m - 41 = -4*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 + j. Let v be h(2). Let s be (-8)\/(-7)*98\/42. Is v at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3278852213?\nAnswer: 7, 13, 157, 229499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 2*l + 6. Suppose 0 = 3*b + b + 12. Let y be v(b). Find the second derivative of 0*c**4 - 3 + 9*c + 22*c**4 + y wrt c.\nAnswer: 264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzuzzbzzwwbwbqzrz. What is prob of picking 1 z and 1 u?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 27954 and 34116 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -491b6 (base 14) to base 2\nAnswer: -101011101000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-327)\/(-48) + -3)*(5 + -1). Let q = 801\/52 - u. Which is the second smallest value? (a) -1 (b) -0.08 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 3*r + 1. Let a be c(-3). Let h be (-2 + 0 - -3)*a. Is -1\/15 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*m - 22, -2*m - 4*j - 4 + 30 = 0. Let a = -1 + m. Solve -a*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -16. Suppose f = -4*y + 3*y + 2*j + 6, -y + 2 = 2*j. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25998*t + 69669*t + 57584*t + 55983*t.\nAnswer: 157238*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -60674221 < -60674219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 231688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 8*q**2 + 6*q + 4. Let t be y(-5). What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 29653, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-385)*2*2\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82245283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -9) + 21 + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*d - 25 = -0, 2*d + 10 = -5*v. Suppose -u - 4*u + 25 = v. Let h = 20 - 20.4. What is the second smallest value in u, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 188.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 248320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-8 + -2) - (-5 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d - 1. Let m(o) = -2*o - 2. Let w = -36 + 37. Let u(l) = w*m(l) - 2*p(l). Let k(s) = 3*s. Calculate k(u(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3))\/(3\/(-27)). Suppose 2*g = g + t. What is the units digit of -2*g\/(3\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002114 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 6 + (-3)\/1. Let h = 310 - 307. Factor -h - 1\/2*m**k + 5\/2*m.\nAnswer: -(m - 3)*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1793678610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -19*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*34\/51?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285264, 1141113, 2567530, 4564515?\nAnswer: 7132068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4 = 2*f - 2*x + 4*x - 12, 5*f = -x - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f**2 + 14466767. Let v(l) = -l**2. Calculate w(v(d)).\nAnswer: -10*d**4 + 14466767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 at least -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1043531, 4173985, 9391409, 16695803?\nAnswer: 26087167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k**2. Let p(i) = -579570*i. Determine p(w(l)).\nAnswer: -9852690*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 146*v**2 - 5031*v - 49086.\nAnswer: -(v + 18)*(v + 27)*(v + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60888 by -115.\nAnswer: 60888\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -366240 rounded to the nearest 1000?\nAnswer: -366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.65 + -91. Let h = -3.45 - q. Which is greater: 102 or h?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbc when three letters picked without replacement from {p: 2, e: 1, c: 6, r: 1, b: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.6425 and -15190.\nAnswer: -15228.6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1632\/(-232) + 7 + 0)*-2.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from jviqqbijbqqjhvbiqqq.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -18 (b) -1.6 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-138))\/(((-2)\/(-11))\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243.7 + 186. Let u = i + 54.59. Let a = u - -2.7. Round a to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 7 = -b, 1586*b - 1589*b - 9 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**7\/210 - 661*x**6\/120 + 23*x**5\/30 - x**4\/12 - 1227*x**2. Find the third derivative of v(p) wrt p.\nAnswer: -24*p - 3966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 2*c - 7. What is k(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 + 0)*(3*j**2 - 5*j**2 + j**2) - 45*j - 4*j**2 + j**2 + 13*j)*(j + 3*j - 6*j) to the form z*j**2 + y*j + v*j**3 + b and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -2.\nAnswer: -2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 618836 and 618836 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623265?\nAnswer: 3, 5, 37, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**3\/5 + 132*r**2\/5 - 189*r\/5 + 48\/5.\nAnswer: 3*(r - 1)*(r + 16)*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 - 260.\nAnswer: -257.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -214*j + 2. Let g(u) = 95*u - 1. Let d(l) = 9*g(l) + 4*w(l). Let z(o) = -1. What is 3*d(t) - 5*z(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 355011 + 79?\nAnswer: 35508a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/34*(-1)\/3*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 4) in base 7?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + -400?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1253303, 1253876, 1254447, 1255016?\nAnswer: 1255583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -53*d**4 + 2*d**3 - 12*d - 1. Let x(c) = -105*c**4 + 5*c**3 - 24*c - 2. Let o(t) = -5*f(t) + 2*x(t). Find the second derivative of o(h) wrt h.\nAnswer: 660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 33. Suppose 2*t - 3 = b + 10, 2*t + 5*b = -p. Suppose -t = 2*z - 6*z. Solve d - z - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*c - 163*c - 581*c.\nAnswer: -1162*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 188. Let x = 13 + v. What is the nearest to 2\/5 in 6, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/20)\/((-1700)\/2125)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = 0, -4*j - k + 37 = 4*k. Solve -5*n = 2*g - j, -6*g = -2*g - 3*n - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -159*z**2 - 119*z + 18. Give l(2).\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 + 6972*h**3 + 10656*h**2 wrt h?\nAnswer: -48*h + 41832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -9. What is the least common multiple of 4 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17300141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, c: 5}. What is prob of picking 1 c and 2 l?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 218932*k**2\/5 - 33679954*k\/5 - 1296221696\/5.\nAnswer: -2*(k + 77)**2*(k + 109312)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -0.2, 0.2, 0.14, -0.5 in ascending order.\nAnswer: -91, -0.5, -0.2, 0.14, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 893, 3830, 8745, 15638, 24509, 35358?\nAnswer: 48185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -5.679\nAnswer: 0.05679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (5 - -2) + -5. Let i be (57\/(-6) - 1)\/(48\/z). What is the nearest to 0 in -2, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -7\/30*r**4 + 38*r + 2\/5*r**2 - 1\/3*r**3 + 0. Solve m(q) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -3*w. Suppose w = c + 2. Let s = -13 + 15. Which is greater: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3 + 3*b**2 - 3. Let n(p) = 8*p. Calculate n(v(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42596131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-2945090)\/(-35) + 6\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-21)\/(-6)) + 8. Let m(c) be the third derivative of c**4\/8 + 3*c**3\/2 - c**2. Does 16 divide m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114156099419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 48. Let l be s(-7). Let h(w) = 14 + w - 4 + 0*w. Let q be h(-7). Solve -q*i - 12 = -l*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519586231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -166, -170, -184, -214, -266?\n\"Answer: -x**3 + x**2 - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*m + 543*m + 418*m + 3594 = 179*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 920?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + (-25 + 24 - (-4 - 0)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**3 + 4*d**2 - 2*d + 2. Let c be f(-5). Suppose 7*o = 3*o + 3*n + c, -4*o + 2*n + 1234 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:33 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258 - 253. Suppose 4*x = l*s - 10*s + 3884, 4*s - 3107 = -3*x. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1702, 3402, 5132, 6892, 8682?\n\"Answer: 15*h**2 + 1655*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13331.\nAnswer: 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let j(r) = 1197247*r. Give u(j(s)).\nAnswer: -2866800758018*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -246 from -243958389.7.\nAnswer: -243958143.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhfhxhfnofjx. What is prob of picking 1 h, 1 o, and 1 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) 2\/9 (c) -0.2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*(-3)\/(-27))\/(8\/(-6)). What is the second smallest value in 0.2, -4, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -d - o - 15, 71 = 5*d + 18*o for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z**2 - 2*z**3 - z**2)*(2*z - 4*z + 0*z) - 11*z**4 + 4*z**4 - z**4)*(2 - 5 + 2)*(-1 + 1 - 2).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9346390.\nAnswer: 2, 5, 934639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -639524, -639528, -639534, -639542, -639552?\n\"Answer: -o**2 - o - 639522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*o + 0 + 1\/3*o**2.\nAnswer: o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89, 238, 371, 482, 565, 614, 623?\n\"Answer: -v**3 - 2*v**2 + 162*v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263311 + 307?\nAnswer: -263003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/((-56)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2278*q*t*v - 7*q*t - 306*q*v - 2*q + 9*t*v - 8629 with respect to v.\nAnswer: -2278*q*t - 306*q + 9*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -7\/2*r**5 + 0 + 1\/3*r - 61\/6*r**4 - 5\/2*r**2 - 19\/2*r**3 = 0.\nAnswer: -1, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/49 + -110\/147. Let u = 18 - -4. Let s = -45\/2 + u. Which is the closest to 0.1? (a) 1\/4 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-4)\/(-72) + 1\/2. Let l(z) be the first derivative of -3 - 1\/2*z**2 - z - w*z**3. Calculate l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 12*l - 24. Let y(s) = 6*s**2 - 3*s + 71 + 13*s - 6*s + 32*s. Let i(a) = 17*g(a) + 6*y(a). Factor i(j).\nAnswer: 2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Suppose -4*s = r - 7, 3*r + 8*s - 3 = 5*s. Let l = -6 - -3. Sort l, w, r.\nAnswer: l, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**2 - 6*b**2 + 6*b**2 + (-2*b**2 + b**2 - 2*b**2)*(3 - 1 + 0) + 51*b - b**2 - 93*b + 74*b.\nAnswer: 3*b**2 + 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172796494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/6 + u**4\/6 - 5*u**3\/6 - 13*u**2. Is h(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-eight sevenths of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2023389\/35619 + (-12)\/(-62).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 2, -1 in descending order.\nAnswer: 3, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 + (2 - 1 + 0)*(-1 + 12 - 3))*(2 - 2 - 3*d**4).\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztzzrzktrttrttktt. Give prob of picking 2 z and 1 t.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -28*o**6\/3 + 117*o**2\/2 - 127. What is the second derivative of h(a) wrt a?\nAnswer: -1120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*j*s*z + 1170*j*z + 11123*s*z - s wrt j?\nAnswer: 17*s*z + 1170*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 - 2.3. Let s = -10.082 - 0.018. Let p = r - s. What is the nearest to 0 in p, -2, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 6:36 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143423 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -213613 to the nearest 1000.\nAnswer: -214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 at most as big as -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 7*n**2 - 8*n - 4. Let m be v(5). Let h(b) = -b**3 + 5*b**2 + 4*b - 6. Determine h(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h + 123. Let g be 2 - (-6)\/15*-5. Let d be j(g). Suppose -4*q + d = -q. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 - 54*m**2 - 336*m + 392 = 0. What is m?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 18, -1, 3\/4 in ascending order.\nAnswer: -1, -0.5, 3\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 744.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15405562 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: Let t = 14 + -7. Suppose -13 - t = 5*p. Let y = 166 + -161. Put 4, y, p in decreasing order.\nAnswer: y, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1829 in -1, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - p + 259 - 30, -71 = -s + 5*p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9 - 9 - 15*w**3. Let l be v(-1). Let i = l - 9. What is the greatest common divisor of i and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 24727.26 years?\nAnswer: 296727.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*y**2 + 137*y**2 - 948*y**2 + 149*y**2 + 147*y**2 + 220*y**2 + 138*y**2.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12356792.\nAnswer: 2, 7, 263, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvevveeveeevveeeeve. What is prob of sequence ve?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*16\/18)\/((22784\/2403)\/128).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5042\/(-12))\/(726\/18). Let x = l + -10\/121. What is the common denominator of -43\/11 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1947 + 27 = 5*c + j, 1162 = 3*c - 5*j. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u. Let n(l) = -4*l. Let a(t) = -10*n(t) - 6*w(t). Let b(y) = -2*y. Determine a(b(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 + 11*o**5\/60 + 2*o**4\/3 + 31*o**3\/3 - 78*o**2. Let i be s(-10). Solve k + 0 = i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5799, 11502, 17109, 22620?\nAnswer: 28035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 3*q - 8. Let l be k(5). Let z(r) = 3*r**2 + r**3 - 2*r**3 - 4*r + 6 - 3 + 0*r**3. Give z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9098511 or 0?\nAnswer: -2\/9098511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -13. Let h(f) = -f**2 - 9*f - 10. Let p be h(g). Suppose 2*x + 0 = p. Let u(j) = 3*j + 1. Give u(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**3\/3 - 7*w**2\/2 - 7*w + 1. Let m(g) = g**2 + 5*g - 1. Let n be m(-4). Calculate z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13543\/15 - -903. Let y = 34 - 33.965. Sort -2\/13, 3, y, q.\nAnswer: -2\/13, y, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 15*j + 40. Let l be o(10). Let h = l - 632\/7. Which is the closest to h? (a) 1\/3 (b) 3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 2*f - 1. Let o be x(-2). Suppose -p = 7 - o. Let h be 1 + 1\/1 - -4. Solve -p = -4*w + g, -h*g - 21 = -w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 530.\nAnswer: 7950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -26\/45*i**3 + 4\/15*i**2 + 1\/6*i**4 - 1 + 8\/15*i. Determine n, given that s(n) = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + 3*a + 50. Let c(u) = 5*u**2 + 7*u + 98. Let l(j) = 3*c(j) - 7*d(j). Let r(s) = -3*s. What is r(l(o))?\nAnswer: 39*o**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(4 - 5 - 4)*(-1 + 1 + 2*m)*(-2 + 5 - 4).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:17 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 - 2*o + 1. Let d(y) = -18*y**3 - 15*y**2 + 30*y + 27. Give d(c) + 15*p(c).\nAnswer: -3*c**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410.178l in millilitres?\nAnswer: 3410178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 23. Sort -0.4, i, -2 in ascending order.\nAnswer: -2, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 9. Let q(k) = 4*k. Let c(o) = -2*o + 1. Let j(y) = 5*c(y) + 3*q(y). Determine -7*j(l) + 4*w(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 66, -7\/4, 2\/3, 6, -2, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {r: 2, l: 1, u: 2, k: 2, g: 12}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*u - 2*u. Let p be 43\/5 + 3\/(-5). Let r = p - u. Which is bigger: 2\/11 or r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9646 or 1\/873?\nAnswer: -9646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101143.4 times 0.01?\nAnswer: 1011.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 32*c**7\/105 + c**5\/60 - c**4\/12 + 4*c**3\/3 + 168*c**2 - 1. Find the second derivative of a(i) wrt i.\nAnswer: 768*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**6\/360 + w**4\/24 - 46*w**3\/3 + w**2\/2 - 42. Let c(m) be the third derivative of i(m). What is c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221020 - 11?\nAnswer: 221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 527. Determine f(-34).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-25)*(-8 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 52, 0.3, 2, -11\/179?\nAnswer: -11\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -78 - (4 + 3) - (0 + -3 + -2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = -11*i + 1. Is 4366 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 6. Let r = 17 - o. Let k(j) = 2 + r*j**2 - 5*j**2 + 2*j - 1 + j**2. Determine k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/29)\/(((v\/v**(-4\/13))\/v)\/v)*(v*v**(1\/2))\/((v**(2\/47)*v*v)\/v) assuming v is positive.\nAnswer: v**(38301\/35438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7770, -7764, -7754, -7740?\n\"Answer: 2*j**2 - 7772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 2)*(54 + 72 - 50)*(-2*p**2 - 1 + 1) in the form s + m*p + w*p**2 and give w.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -379*n**2 - 2752*n - 1299. Differentiate g(z) with respect to z.\nAnswer: -758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/178 (b) -1\/53 (c) 7 (d) 1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2220)\/(-74)*(-8)\/(-18)*9\/(-42)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -190281381?\nAnswer: -190281367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5479, 10513, 15545, 20575, 25603?\nAnswer: 30629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(5 + -1*-2*sqrt(272)).\nAnswer: -16*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19740 divided by 5\nAnswer: -3948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 4*k\/3 - 1290.\nAnswer: 2*(k - 45)*(k + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Suppose 2*s + 35 = 9*s. Let l(w) = 19*w**2 - 5 + 11 - 1 + s*w. Let r(b) = -248*b**2 - 64*b - 64. Let z(o) = 64*l(o) + 5*r(o). Determine z(n(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:24 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert c50 (base 14) to base 5.\nAnswer: 34142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*b + 8, b + 2 - 14 = 3*p. Suppose b = 4*s - 4*c - 12, -4*s + 7 + 5 = c. Suppose 3*q = -6 - s. Is q <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7055 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 20422696?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -11. Suppose 2*n + 60 = v*n. Let q be 122\/10 + (-1)\/5. Calculate the greatest common divisor of n and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r + 15*r + r**2 + 0*r**2 to the form u + z*r**2 + f*r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d)\/(d*d*d\/(d\/((d**5*d)\/d))*d)*(d\/d**(-1))\/d**(-2\/11) assuming d is positive.\nAnswer: d**(-181\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 127. Give y(-43).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = -10418*f + 10501*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3199826 and 97\/2.\nAnswer: 3199826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(-24)\/2. Let b be 2\/4 - (-21)\/y. Solve -o + 25 = b*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 25*d**2 - 4*d - 10. Let l be x(13). Let y = l - 47. Let r = y - 48. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 14*y**2 + 52*y - 52. Let r(u) = 4*u**3 + 30*u**2 - 105*u + 103. Let z(i) = -9*b(i) - 4*r(i). Factor z(g).\nAnswer: 2*(g - 2)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 45*r**2 + 78*r + 6. Let f(n) = -44*n**2 - 94*n - 8. Calculate -2*f(q) - 3*i(q).\nAnswer: -47*q**2 - 46*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9419 by -533.\nAnswer: 9419\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 1\/24*t**4 + 0*t + 0 - 2*t**2 + 5\/6*t**3. List the prime factors of i(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 673109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266, 2237, 7654, 18257, 35786, 61981, 98582?\n\"Answer: 290*i**3 - 17*i**2 - 8*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1165 = -2*p, 4*p - 965 = -4*n - p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -623 divided by 20.\nAnswer: -623\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-1 - 4) - -11) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 4*w + 12, -3*w + q - 16 = 0. Let z be 12\/(-30) + (-26)\/(-40). Put -1\/7, z, 1.4, w in descending order.\nAnswer: 1.4, z, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkuk when four letters picked without replacement from {r: 3, k: 5, u: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1146 + 2303. Calculate the highest common factor of 178 and d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - -69) + -2 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/72579 and -12.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 minus -189363764?\nAnswer: 189363764.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 + 6*g - 5. Let k be b(2). Suppose 3*n = 2*o - 1026, 2052 = 4*o + n - k*n. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.02 - 10. Let g = -12\/203 - -10\/29. Which is the closest to 0.1? (a) l (b) -2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 147.058 (b) -2.7 (c) 11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 1, -3\/2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -117. Suppose -360 = -t - 4*t. Let s = q + t. Solve -5*m - 18 = s*h, 4*h + 3 = -2*m - h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8548*h**2 - 248*h*k**3 + 3*h*k**2 - 870891*k**3 + 23*k**2 - 2*k wrt h.\nAnswer: -17096*h - 248*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/(-1350)*1*4*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - g**2 + 2. Let d(c) = -3*c**2 - 746*c + 4. Determine d(l) - 2*j(l).\nAnswer: -4*l**3 - l**2 - 746*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 248*i**2 + 2*i**4 - 248*i**2 - 6*i)*(-4*i + 9 - 9 + (7*i + 3*i - 6*i)*(2 - 2 - 2)).\nAnswer: -24*i**5 + 36*i**4 + 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**3 - u**2 - 4*u + 10. Calculate f(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/((2*sqrt(44) - sqrt(44))\/sqrt(11))*-5)**2 + (3 + sqrt(1900) + -2 + sqrt(1900) + sqrt(1900) + -4)**2.\nAnswer: -180*sqrt(19) + 17584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3\/3 + 6*s**2 + 23*s + 14. Let k be g(-10). Suppose h - 48 = k*c, 2*c - c + 2 = 0. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*(t\/t**5)\/t*(t*t**2)\/t**(1\/3))\/(((t**(-4\/5)\/t)\/(t\/t**(-6)))\/(((t**(2\/7)\/t)\/t)\/t)**21) assuming t is positive.\nAnswer: t**(-743\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**5\/20 - x**4\/12 - x**3\/6 - 10*x + 83. Let d(y) = -3*y**3 - 4*y**2 - 4*y. Calculate d(u) - 4*v(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8) - sqrt(512)*1) - (sqrt(52)\/(sqrt(36) - sqrt(4)) - ((sqrt(637) + sqrt(637)*-2 + sqrt(637) - sqrt(637)) + sqrt(13))))**2.\nAnswer: 112437\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**3\/12 + 399*i**2\/4 + 159201*i\/4 + 984. Find z, given that q(z) = 0.\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d = 52*d - 280 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdsjabsdsrd. Give prob of sequence adsr.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 0*r)*(-2*r - 2*r**2 + 2*r)*(-201*r - 2 + 201*r - 10*r**2).\nAnswer: 20*r**5 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -20, 5 in decreasing order.\nAnswer: 5, 0, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3\/11 + 48*f**2\/11 - 114*f\/11 + 72\/11.\nAnswer: -6*(f - 4)*(f - 3)*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 180673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -257.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2 - (-7159988)\/(-8). What is n rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 218, 467, 728, 1007, 1310, 1643, 2012, 2423?\n\"Answer: h**3 + 242*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r - 18*r - 9*r - 15*r to the form m + v*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 1. Let c(h) = -7*h**2 - 15*h + 10. Let d(x) = c(x) + 5*j(x). Let p(r) = -r. Let l(b) = -d(b) + 4*p(b). Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - w + 2441 = 300, -3*t + w = -1597. Let s be 0 + t\/10 + 0. Let l = s + -53. Which is the closest to 2? (a) -4 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9932, 40479, 91408, 162719?\n\"Answer: 10191*w**2 - 26*w - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 1\/20*r**5 + 0*r**3 - 1\/12*r**4 - 8*r + 0*r**2 + 0. Let t(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 229813, 229824, 229833, 229834, 229821, 229788, 229729?\n\"Answer: -k**3 + 5*k**2 + 3*k + 229806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*k - 6, -12 = -4*s - 2*k - k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253\/315 + 49\/45. Which is the biggest value? (a) s (b) 7 (c) 9 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -4 + (-35 - (48 + -52)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64 and 19.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42\/161*(-29256)\/72\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let j be (-2)\/(-1 - -3) + -2. Let c(z) = -z**2 - 5*z - 4. Let i be c(j). Suppose 12 = -i*v - 2*v. Give n(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + -1)**2*-4 - (sqrt(9)\/(sqrt(6)\/sqrt(2)) + sqrt(363)*-1 + 0).\nAnswer: -1204 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 356*q + 36252.\nAnswer: (q + 114)*(q + 954)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/9739766 and 69\/14.\nAnswer: 68178362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1264, 5067, 11410, 20293?\nAnswer: 31716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/96)\/((-565)\/(-3390))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -3*k. Which is the biggest value? (a) 0.3 (b) 1 (c) k (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 3*l**5\/10 - l**4\/12 + 2*l**3\/3 - 5*l**2\/2 - 1749*l + 1. What is v(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -260042.\nAnswer: 10\/130021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 5 = -6*c. Let b = c - -1. Suppose 3*s = a + 10, 4*s - 4*a + 0*a = b. Let h(x) = -x**2 + 5*x + 4. Give h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 170 (b) 101 (c) -12\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217 + 901. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46 + -140.\nAnswer: -140.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1)*(16 - 10 + 5) - 8 + 8 + 3*l + (0 - 3 - 1)*(-2*l - 1 + 1) + 0*l + 0*l + 2*l.\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuqy. Give prob of sequence qy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 18140?\nAnswer: 18139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-55))\/((-1200)\/(-23760))\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 6*o - 5. Let d be k(-7). Suppose 0 = d*m + 6 - 16. Let i be 1*(18\/(-3))\/(-3). Solve -20 = -2*b - m*s, -4 + 12 = 3*b + i*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2333 and -388.8.\nAnswer: 1944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9091*k - 264123. Calculate i(-29).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n*n\/(n\/((n**2\/n)\/n))*n))**(-39\/5) assuming n is positive.\nAnswer: n**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 986 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let f = -80 + 80. Let q(t) be the second derivative of 0*t**2 + 1\/3*t**3 + f + 3*t. Calculate q(o(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 25 = 3*f + a, 5846*a - 40 = 5*f + 5849*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 - 9*j + 55)*(-j + 3*j - j) + (2*j - 4*j - 2*j)*(-64*j + 0*j + 2*j) to the form i + c*j**2 + a*j and give c.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b6481 (base 12) to base 15\nAnswer: 4acc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (0 - -2 - 2). Let l(n) = 4*n - n - 2*n - u*n. Let g(b) = b**2 + 2 - 2. Calculate l(g(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 3*r + 20. Let f be c(-6). Solve f*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (-15)\/(-10)*(-20)\/(-6). Suppose 0*s + 746 = 5*f + 4*s, 5*f - r*s = 754. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 + 6*d + 7*d + 7*d**2 + 5*d = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -353379\/2 + 176689. Let v = -8 - -4. Let a = 8 + v. What is the closest to p in -4, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226, -228, -232, -238?\n\"Answer: -o**2 + o - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2284 and 12562?\nAnswer: 25124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211002233 + -111?\nAnswer: 211002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348 + 10801. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -1\/8, -5\/3.\nAnswer: -5\/3, -1\/8, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0931 - -0.0069. Put 7, -0.3, -3, g in ascending order.\nAnswer: -3, -0.3, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 57*a**3 + 60*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhvi when four letters picked without replacement from hiiqiqviiiqvhvq?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -46*x + 1826. Let p(n) = 2*n**2. Determine m(p(w)).\nAnswer: -92*w**2 + 1826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/2)*s))\/s**13)**(3\/2)*((s\/s**4)\/s**14)**(-10\/3) assuming s is positive.\nAnswer: s**(437\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3557 + -3547 + 104 + (2 - 0) - 18?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/39, -2\/7, 1.22, 5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 6*w - 17. Let k be d(-9). Let i = k + -824\/7. Factor 0 - 2\/7*n**4 - i*n + 2\/7*n**2 + 2\/7*n**3.\nAnswer: -2*n*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265 - 129*u - 595 + 1149.\nAnswer: -129*u + 1819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 3*h**2 + 5*h - 6. Let i be q(4). Let g(t) = -t**3 - 5*t**2 - 7*t + 5. Let x(c) = -c**3 - 2*c**2 - 3*c + 2. Give i*g(b) + 5*x(b).\nAnswer: -3*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(15)\/sqrt(3)))\/(2*sqrt(567)) + -5)**2.\nAnswer: -5*sqrt(2)\/9 + 4051\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2007 = -130*d - 317 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*4 - 847\/(-11)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: 84\/35*20\/(-3)*117\/(-234)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 21*d - 3*d - 225 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-8 - -10 - 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34585\/36 - -3993\/4. Let h(u) be the first derivative of -52\/3*u**2 - 4 - 8\/3*u - b*u**3. Find q such that h(q) = 0.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3343788 and -59\/85027752?\nAnswer: 595194264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 300?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -814749000 rounded to the nearest 1000000?\nAnswer: -815000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 6, -1.4, 0.1 in increasing order.\nAnswer: -5, -4, -1.4, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11600203 - -2?\nAnswer: -11600201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, i: 1}. What is prob of picking 2 k and 1 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 44. Let q = 151.9 - 151.6. Which is the third biggest value? (a) q (b) p (c) 0.05 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 75 = 19*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m**2 + 7*m + (2*m + 0*m - 5*m)*(6*m - 4 + 4) - 5*m**2 - m**2 + 4*m**2)*(-5 + 2 + 2)*(-2 - 1 + 2).\nAnswer: -18*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/(22\/(-33)). Suppose -6*d + 3*d = 5*r - 364, -2*d + 3*r = -230. Let y = d + -60. Is y != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + (-4*2*sqrt(931) - sqrt(931)) - 3*(sqrt(931) - (sqrt(931) + -1))**2.\nAnswer: -56*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 312\/449?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 13) to base 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7337 - -7341. Calculate the remainder when 46 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 5904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 11. Suppose -g - 5 - 2 = 0. Let l = i + g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6683)\/615 - -11)*(-2 + -1)*15\/(-27)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -472135228.\nAnswer: -1\/236067614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7e - -5?\nAnswer: e83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 + 888*v - 1317. What is b(-115)?\nAnswer: 2363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 46. Sort -16, u, 2 in decreasing order.\nAnswer: u, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87584.47 years to centuries.\nAnswer: 875.8447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2, 666.4, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -32. Suppose u*b = -6 + 24. Let g(l) = -l**3 + 7*l**2 - 4*l - 7. What is g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5100 divided by 34.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 1862?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 8, 5, 20, 41, -5 in increasing order.\nAnswer: -11, -5, -1, 5, 8, 20, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 354*l**2 + 696*l.\nAnswer: 3*l*(l + 2)*(l + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/11)*(s\/(s**(-4)*s))\/s*(s*(s\/(s*s**(3\/2)))\/s)\/s**(-2\/9) assuming s is positive.\nAnswer: s**(233\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (306\/1989)\/(4\/(-2))*(-20)\/30\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 36. Let i = -6314 - -6321. What is u(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0 + y**3 - 2*y**2 - 7*y + 3\/4*y**4 + 1\/20*y**5. Does 6 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 5*t - 1. Suppose 3*u - a = a + 5, -2*a = -10. Let f be d(u). What is the units digit of (f\/(-3))\/((-4)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3270*f**2*m - 208*f**2 wrt m?\nAnswer: -3270*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*a**2 - 2*a**3 + 48*a**2 - 2*a - 140*a**2 + 43*a**2 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -24*a + 974. Let v(q) = -5*q + 195. Determine 3*k(x) - 14*v(x).\nAnswer: -2*x + 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18542, -37125, -55748, -74417, -93138, -111917, -130760, -149673?\nAnswer: -168662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**2 - 228*x + 26. Let b be q(-25). Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*u - 1443 - 1024, -2457 = -5*u + 4*v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/60 - c**4\/6 + 2*c**2. Let b be j(5). Find the second derivative of 6*p**2 + 13*p + 7*p**2 - 13*p**2 - 11*p**b wrt p.\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/56)\/((-6)\/(-36))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p**2 - 16*p + 3. Give c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 55*i + 15. Let y be d(-13). Round y to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*t = 218*t + 225*t + 6. Suppose h - 9 = 1. Suppose -z = 4*z - h. Solve z*b + 8 = -0*b + t*j, 7 = b + 4*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 582 + -568. Which is smaller: a or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -1.2. Which is the smallest value? (a) 5 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 2979, -3?\nAnswer: 2979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 5*f - 11. Let d be c(6). Let h(g) = 256000*g. Let k be h(d). What is k rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*z + 252 = 0. Suppose 5*y = 2*k + 39, -8*y = -12*y - 2*k + z. Sort y, 0, 3, -3.\nAnswer: -3, 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21992 + 22000. What is the remainder when 218 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 2*x. Suppose n = -0 - 1. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2539, 2538, 2537?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 9. Let o(w) = -3 + 1 - w + 1. Suppose -5*b - 11 + 37 = -4*l, -4*b = l - 25. Give b*o(p) - v(p).\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2341 (base 6) to base 11\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/8)\/(-7) - (-260)\/(-80). Which is the third biggest value? (a) n (b) 1 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (10 - -1) - 2. Suppose w*j + 4 = 7*j. Let y(c) = 4*c + 4. Let z be y(j). Which is bigger: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68541162 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(5\/40). Find the common denominator of ((-1)\/q)\/((-8)\/664) and -89\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-60)\/90*(-14334)\/4?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36527a (base 11) in base 8?\nAnswer: 2150677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.9 - 18.9. Let y = 43 - 42.6. Which is the closest to m? (a) -1 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922996040 to the nearest integer?\nAnswer: 30381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6465710 and 21336843?\nAnswer: 213368430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/120 + 7*g**5\/20 - 19*g**4\/12 - 32*g**2 - 4*g. Factor p(n).\nAnswer: -n*(n - 19)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 - 443. Let n = 2 - 5. Sort l, 3, n.\nAnswer: n, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-4)\/(-186902)) - (-20)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 + 57 = -9*j. Let f = -58 - j. Sort -0.9, 0.5, f in decreasing order.\nAnswer: 0.5, f, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 2) + 2 + -6. Let p(i) = 10*i**2 - 1752*i + 9 + 3165*i + i**3 - 1405*i. Give p(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 14 = 0. Calculate the remainder when 26 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + 0 + (sqrt(5) + -1)*-5 + -5.\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 0 - 12*r**3 - 34 + 24*r**2 + 37 in the form f*r**3 + y*r + x + z*r**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 4*j**2 + 6*j - 2. Let x be n(5). Suppose -l = x*l - 20. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(51\/(-6) - -6). Solve 3*a = y - 9 - 3, i*a + 5*y + 40 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 2*s + 3. Let w(p) = -p - 3. Let q = 15 - -9. Let k(b) = b - 24. Let c be k(q). Let z be w(c). Determine r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 11*q**2 - 8*q + 12. Let t be i(-10). Is -5 + (-7710)\/t - 2\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 39, 142, 353, 708, 1243?\n\"Answer: 6*y**3 - 11*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 7, r: 3, e: 2}. What is prob of picking 1 r, 2 i, and 1 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.907666 decades to millennia.\nAnswer: 0.00907666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11844 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 15, 1\/3, -4243, -24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*a + 1130 = 2*i, -5*a = -25. What is the greatest common factor of 518 and i?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730509?\nAnswer: 11, 61, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1695 + 201707\/119. Let n = 10\/17 - k. Let -2\/7*d**3 + 0 - 2\/7*d - n*d**2 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + -4 - 3. Let p(h) = -2*h**2 - 13*h - 8. What is p(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -365379015*b + 283817740 wrt b?\nAnswer: -365379015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/40 - (-44)\/(-30). Let k = 0.4 - -0.2. Let v = k + -0.8. Which is the third smallest value? (a) g (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/60 - p**2. Let x(y) = -y - 1. Let b(g) = -3*g - 2. Let h(l) = 3*b(l) - 6*x(l). Calculate q(h(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**3 + 4*d**2 - 8*d = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*t - 49*t - 540. Is t bigger than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - c + 3. Let t(v) = -2*v**2 - 19*v + 51. Let w(s) = j(s) - t(s). Factor w(r).\nAnswer: 3*(r - 2)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 68. Let o = l - 17. Solve o = 5*h - 3 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319 - 317. Let b = -2 - -2.5. Put i, b, -5 in descending order.\nAnswer: i, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*a**4 + 1089470*a**3*c - 3*a**2*c - 89*a*c + 10475 wrt a?\nAnswer: 480*a + 6536820*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 78. Let k = h - 16. Let i be (-4)\/k - 816\/(-40). Solve n + 4*n = -i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2135*u**2 + 30*u + 73. Is j(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.5 rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(18\/(-3) - ((-657)\/36 + 13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = 3*p - 3*z, -3*z + 1 = 4*p. Let k be (72 - p) + -5 + -1. Calculate the highest common divisor of 26 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:04 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 12:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = g. Suppose 0*c = -g*c. Let t = -6 - -2. Sort c, -1, t in decreasing order.\nAnswer: c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 11, h: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27058?\nAnswer: 2, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 17*m + 5. Let i(w) = w**3 - 6*w**2 - 2*w + 10. Let y be i(6). Let f(n) = -n**2 - 8*n + 3. Let g(o) = y*h(o) + 5*f(o). What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -1\/6*s**4 + 0*s**2 + s + 5 + 0*s**3. Let v(n) = -5*n**2 - 4*n. Give v(b(x)).\nAnswer: -20*x**4 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 + 211. Solve -2*f + 10 = 2*f + 2*p, -o*f - p = -14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 347240 - 2103240 = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -1\/6, 2\/15, 23.1, -25?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (-36 + -1) - (15 - 0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3280 and 287328?\nAnswer: 1436640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1192, 2020, 2848, 3676, 4504?\nAnswer: 5332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - 7*r - 3. Let c be g(9). Let h = -486 - -1150. Suppose -2*j = -3*i - c, -5*j - 4*i + h = -2*i. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 19)) + (0 - (3 + -6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84261623 - -19206?\nAnswer: 19206.84261623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 452.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 775937003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 19*t - 74 + 38 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1732336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 1025. Let d be v(0). Suppose c = -c - 6, -2*q = -c - d. Suppose 8*k - q = k. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/116376 and -113\/228.\nAnswer: 2211144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**3 - 14*j**2 + 9*j + 2. What is the remainder when 1943 is divided by v(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 51. Calculate y(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 4:25 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -166, 75, -0.2.\nAnswer: -166, -2, -0.2, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from gwpgp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*g + 16 = -g, 4*g = -8. Suppose 0*a = -5*o + h*a + 34, -4*o - 2*a + 48 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783120357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113056 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/4, 0.6, 0.1, 3\/2, -1\/5908, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162\/475 + 8\/19. Let r(q) = -2*q + 22. Let i be r(11). Is i <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.3, -4\/11, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 18 - (112 + -97)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 169, 264, 399?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 36*u - 92. What is the remainder when w(28) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/90)\/(3\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.88 minus 0.059?\nAnswer: 263.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaak when four letters picked without replacement from aafaaazakaaa.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -72, 0.5, -19\/6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {n: 1, g: 2, f: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:40 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 23. What is the third smallest value in 2, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1 + -1 + sqrt(80))**2 + -2 + (sqrt(125))**2 + -2.\nAnswer: -32*sqrt(5) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 293 in descending order.\nAnswer: 293, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -44.3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 - 27. Let q = d - 72. Solve -r + 3*r = q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/13*26\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 5118*r.\nAnswer: -3*r*(r - 1706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452406, 904797, 1357198, 1809615, 2262054?\nAnswer: 2714521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -114, -4 in decreasing order.\nAnswer: 0, -3, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1118*f**2 - 14*f + 326. Let j(n) = -372*n**2 - 5*n + 111. Let c(s) = 3*g(s) - 8*j(s). What is the second derivative of c(x) wrt x?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1150 + -421. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11318524?\nAnswer: 2, 7, 547, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -u + 3*u + 5, 5*u = -3*f + 10. Suppose -28 = -9*b + 2*b. Sort b, 2, f.\nAnswer: f, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -3*m + 4*m, 2*m + l = 7. Let j be (1 - (0 + -1))*1. Solve -3*v**2 + 3*v**j - 6*v + 0*v**2 - 4 - 2*v**m = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -45*m - 10. Let u be r(-7). Suppose -68 = -k + 2*o, 3*o + 0*o = 5*k - u. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 11)*(-2*r - r + 4*r) - 4*r + 4*r - 2*r + r - 1 + 1 + (0 + 0 + 1)*(r - 4*r + r) - 2*r + 4*r - r + 5*r - 9*r - 8*r - 23 + 8*r + 23.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -13. Suppose -3*t - 9 = -w*t. Suppose 4*l - 9 = t. Calculate the least common multiple of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-1122)\/(-85))\/22)\/((-8)\/10))\/(-3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*y + 305513, 2*p + 3*y + 17148 = -105048. Round p to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 8*v - 8. Let k be d(-7). What is the common denominator of (-882)\/20 + (-16)\/40 and k\/8 + (-151)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44\/2849725?\nAnswer: 44\/2849725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.08203 - 0.04.\nAnswer: -2.12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 20 = 5*d - 4*m, 0 = -4*d - 2*m + 106. Calculate the common denominator of (-91)\/40*(-24)\/d and -13\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*m - 2, 0*w - 2*m = 5*w - 7. Let x be (2\/(-6))\/(1230\/(-270)). Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-181.\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d + 4*c - 24, 3*c - 9 = 0. Suppose 3*k + 169 = -k - b, 5*b - 16 = k. Let l = 58 + k. Solve 0 = r + d*r - 4*n - l, 0 = -2*r - 3*n - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/320 and -123\/160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(-3*o + 4*o + 0*o) + 0*o - 3*o + 2*o)*((6 - 2 - 2)*(3 - 6 - 9) - 6 - 1 + 5 - 2 - 10 + 3).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1635 + 0.0031. Let r = -20.0996 + q. Let o = -21 - r. Round o to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1653212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (798\/(-108)*(-300)\/(-420))\/(10\/6)?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czwm when four letters picked without replacement from fkkzmwwkzmwcmfmfmfkf.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-100)*(-90)\/(-324)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2476 is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1300.64 - -1224.801. Let g = k - 0.161. Let s = 75.9 + g. What is the second biggest value in -0.4, s, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 27857*j + 362244. Calculate o(-13).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21 - 1 - -10) + 0 + 5. Put 38, -4, x, -2 in increasing order.\nAnswer: x, -4, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 5*t + 4. Let i be l(-4). Suppose -2*y - i = -4*y. Let h = -4 - -8. What is the greatest common divisor of y and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -26, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 198, -3, 4, -9, -4942 in ascending order.\nAnswer: -4942, -9, -3, 4, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -153. Let o = 38 + -27. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-10))\/((126 - 34920\/270)*(-6)\/(-50)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**2 + b - 4. Let v be k(-3). What is the highest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 4*t + 0*t - 57 = 0. Let r be (-2)\/5 - (-152)\/5. Suppose -4*x + 44 = 3*j - 0*j, r = 2*j + t*x. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/(-4) - (-4)\/(-16). Let o be 1\/(-1*(-2)\/t). Let a = 563\/11 + -51. What is the biggest value in -4, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 - 122 = -26*i - 239 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/33660 and -107\/14490?\nAnswer: 5419260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -3, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.5 - -32.8. Let k = 2\/9 - 1\/45. Let g = -71 - -353\/5. What is the nearest to g in 2\/11, k, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 877*t - 412*t - 423*t to the form s + x*t and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Let x be (-6)\/(-9)*6\/10. Which is the biggest value? (a) x (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*b**2)*(2 - 3 - 1)*(5 - 4 - 2)*(-44 - 414 - 180) to the form r*b + f*b**2 + t and give f.\nAnswer: 2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -155*k**7\/42 - 2*k**3\/3 - k**2\/2 + 13*k - 3. Find the second derivative of v(w) wrt w.\nAnswer: -3100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let a(x) = 358*x - 1 + 3*x**2 - 358*x - x**2. Give a(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8124410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-12 - 171\/(-24)). Let p = 0.8 + -5.8. What is the third biggest value in 3, p, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-7)\/35 - (-126)\/245)\/(-5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2. Let j(u) = u**2 - u + 1. Give c(w) - 2*j(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) - 902937\/(-49) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:56 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132250896 and 197586?\nAnswer: 396752688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -13747500 to the nearest 100000.\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10929275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let j(l) = l - 2. Let i be j(6). Suppose 4*o - 3*a = 16, -3 = 3*o + a - 15. Let p(x) = -i - 2*x + o. Calculate k(p(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 8*t**2 + 7*t**2 + (12*t - 47 + 47)*(0*t - 3*t + t) to o + a*t**2 + f*t and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94225048289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**4\/24 - 221*c**2. Let k(m) = 5*m - 66 + 69 + 7*m. What is k(p(a))?\nAnswer: -12*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153.5106m to nanometers.\nAnswer: 153510600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*-2*(-4)\/(-16). Let g(s) = -13*s - 5. Let q be g(3). Let k = 46 + q. Solve -c = -a + 5, 4*c + k = -l*a - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-12 - -7) + 1 + -2 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 4) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1656 (base 9) to base 10\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78799.1235 rounded to the nearest integer?\nAnswer: -78799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*s + 7 = 0, -2*k + 2 = -k - 4*s. Let b be k\/6*(2 + 1). What is the units digit of (3 + -16)\/(-2 - b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1024 - 1018. Solve -c = -f*m + 3*m - 9, 3*m + 21 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i - 4*i + 17*i + 54)*(i**2 - i**2 - 4*i**2).\nAnswer: 4*i**3 - 216*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 11. Let c = 463 + -459. Solve 0*q - c*q + f = 3*d, -5*q = -d - 28 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 618547991*s**3 - 4 - 618547973*s**3 + 5.\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -677733, -1355467, -2033201, -2710935, -3388669, -4066403?\n\"Answer: -677734*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*d + 3*v, 0*d - 6*d - 5*d = 21*d - v + 118 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*z**2 - 203*z**2 + 406*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15*v*v\/(v*v**(-1))*v*v*v**(14\/9)*v**(-20)*v assuming v is positive.\nAnswer: v**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 22. Let x = j - -55. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 12*n - 9*n)*(4*n**3 - 3*n**3 - 2*n**3).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 48*z - 88*z - 2 + 52*z to the form d*z + k and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6050 and 906.\nAnswer: 5481300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -323104.\nAnswer: -1615520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1688.736 and 0.3.\nAnswer: 506.6208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + i + 10 = 0, 0*v + 5*i - 13 = 4*v. Suppose 108 = v*y + 3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7756953, -7756937, -7756921, -7756905, -7756889, -7756873?\nAnswer: -7756857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/319 (b) 2 (c) -0.1 (d) 1\/289 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-13)*(-8)\/20*-15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1264 = 126*o, -4*b - 2*o + 36 = -8*o + 4*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.1 + 17. Sort -3, -1\/4, o, -0.2 in descending order.\nAnswer: o, -0.2, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*(k*k*k**(-3))\/k)\/k)\/k)**12)**(-19) assuming k is positive.\nAnswer: k**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120001200 (base 3) to base 7.\nAnswer: 411111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277538903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Let s(m) = -m + 1. Let j be s(0). Suppose -4*d = 5 - j. Which is the closest to -0.1? (a) g (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.828037253 rounded to 4 dps?\nAnswer: -5.828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210101211 - -12?\nAnswer: -12210101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:31 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 712 + 727 = 2*t, 3*t + 2*r = 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -28907*d + 2413. Is y(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81571949.9 to the nearest one million.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/((-5)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 18 - (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1628955 + -901634. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hfffh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 + 1. Let b(s) = -2*s**3 + s**2 + 4*s - 1. Let h(q) = -5*q**3 + 2*q**2 + 11*q - 2. Let i(p) = 11*b(p) - 4*h(p). Determine -3*c(z) - i(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -29 (b) -4 (c) 0.22475 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + 3224\/(-260). Let m be (-2)\/2 - (c + 13). Is m greater than -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184655238 a multiple of 1476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 6}. What is prob of sequence ne?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)*l**9*l)**(-32)\/(((l\/(l*l**9))\/(l\/(l\/l**(-7))*l))\/(l*(l*l\/l**0*l*l*l)\/l)**(-1\/3)) assuming l is positive.\nAnswer: l**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**3 + a**2. Determine m(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8345?\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2175 and 13200?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151390700611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 594 - 6 = 48*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3532.1 + -3919. Let u = 387 + g. What is the fourth biggest value in 2, 2\/5, -22, u?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 21*t + 6. Let f be n(-10). Solve -f*z + 3 + 61 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 1040, 2042, 3442, 5240?\nAnswer: 7436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 2, z: 2}. What is prob of sequence zz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*v = -14*v + 2772. What is the greatest common factor of v and 22036?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171\/(3 - (-180)\/(-70)) is divided by 206.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 + 11*h + 4. Give a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 92790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s - 12 = 0. Let z(b) be the third derivative of b**6\/120 - b**4\/8 + b**3\/3 + b**2. Calculate the least common multiple of z(s) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 100*j**3 + 0*j**2 + 144*j**3 + j - 122*j**3 to the form o*j**2 + t*j**3 + u + y*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**5 + 11*v**4 + 260035*v**2 - 2235430*v + 2 wrt v?\nAnswer: -20*v**3 + 132*v**2 + 520070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21135*k + 584 + 2*k**2 + 21135*k + 472 to the form y + w*k**2 + c*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5299875, 10599756, 15899637, 21199518, 26499399?\nAnswer: 31799280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -3006.\nAnswer: 3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/3 + 13108*y - 667930\/3 = 0.\nAnswer: 17, 19645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.27 + -0.23. Let w = 7.5 + 0.5. Let z = w + q. Sort 3\/4, -0.2, z in increasing order.\nAnswer: z, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-1088) - 0\/(-3 + 2). Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1901551 in -2, 0.3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1\/331 (b) -0.2 (c) -1 (d) -0.23 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -30*l - 290. Let r be 8\/(-100)*120\/l. Factor 0 + 21*o**3 + r*o - 33\/5*o**2 - 15*o**4.\nAnswer: -3*o*(o - 1)*(5*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 160685?\nAnswer: -160686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-4*(-1)\/(-8))\/(-10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16831 and 33.\nAnswer: 16864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 234 - 146. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(2057))**2 + -1)*-5*5*-5.\nAnswer: -16500*sqrt(17) + 772500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.914 + -0.014. Let l = -3.2 + w. Sort l, 5, -4 in ascending order.\nAnswer: -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 13*z + 3. Suppose -33*c + 32 = 18 - 19. Let a(x) = -1. Give c*k(u) + 2*a(u).\nAnswer: -2*u**2 + 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n = -70*n + 1352. Let t = n - -438. What is the greatest common divisor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1752 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 1, h: 1}. What is prob of sequence ihu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/72 - 505*z**4\/24 - 3035*z**3\/36 - 4131*z**2. Factor j(n).\nAnswer: 5*(n - 607)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26676364 plus -136053?\nAnswer: 26540311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14896 + 23496. Let p = i + -3300. Round p to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4785218 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 493 - 546. Let q = 52.5 + k. What is the second biggest value in 12, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2721 - 18164 = -5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 1618315?\nAnswer: 1618314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -384.6+-0.1\nAnswer: -384.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*n - 421 = -4688 - 265 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 68116*i - 6713784.\nAnswer: 4*(i - 98)*(i + 17127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(1\/(-15))\/((-9)\/(-27))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 40. Let m(v) = v + z + v + 6 + 3*v. What is the tens digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) -5 (c) 1 (d) -88\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 11356, -10, -5 in increasing order.\nAnswer: -10, -8, -5, 11356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -0.9.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.99999995 - 36. Round r to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**2 - 34*d - 8. Determine w(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 453409 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -546 + 549. Solve 2*v - v + w = 2*t, 0 = -3*v + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + p - 10*p + (-3 + 0 + 2)*(3*p - 3*p + 2*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = -0*f - 5*l, -2*f = l - 17. Suppose -3*b - 2*b = -f. What is the common denominator of b\/2 - (-236)\/72 and 43\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, l: 2, c: 2, f: 1}. What is prob of picking 3 y?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17060*m + 115 = -17055*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-18))\/(35\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b0093 (base 13) to base 4\nAnswer: -1030232303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2944, 3102, 3350, 3688, 4116, 4634, 5242?\n\"Answer: 45*m**2 + 23*m + 2876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5 - 6 + 0 - i + 5. Let l = -19 + 6. What are the prime factors of d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.84687432 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*a + 152 = -2*a, 0 = -4*k + a + 298. Let m = -1307 + 1243. Let f = m + k. What is the greatest common factor of f and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/((-72)\/219))\/(1\/6).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76199683.\nAnswer: 7, 10885669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1165097.7 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 + 8*t - 6. What is x(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:34 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6300)\/(-952))\/(-45))\/(((-11)\/55)\/(4\/(-5))).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/3 + 1565*v**4\/3 - 647681*v**3\/3 + 27461707*v**2\/3 - 48940826*v + 62984856 = 0.\nAnswer: 2, 4, 41, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 11:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 10. Let c(o) = 7*o - 23. Let m(a) = -2*c(a) - 5*w(a). Let b be 10\/3 + 1\/(-3). Determine m(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide (12642\/(-1))\/(2\/4 - 264\/176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1980096 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.995 - -1.745. Let n = c + 0.26. Let v = n - 17.93. What is v rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847704101 to the power of 1\/3, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f\/f**(2\/7)*f)\/f)*f*(f\/(f\/f**(-13)*f))\/f*f*((f\/(f\/(f**(-1\/5)\/f))*f)\/f)**(-37\/3))**(4\/3) assuming f is positive.\nAnswer: f**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-38)*(-24)\/36\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -62. Suppose 0 = -5*j - 4*s + 141 - 25, -2*j + 60 = 5*s. Calculate the greatest common divisor of h and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -12.093\nAnswer: 169.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-9)*v\/(v*v\/v**(-10)))**(-6\/5))**(2\/169))**(1\/25) assuming v is positive.\nAnswer: v**(12\/21125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -870 and -795840?\nAnswer: 692380800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 6 = -51*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236070702?\nAnswer: 2, 131, 8534621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 10. Let r = -390 - -388. Calculate s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177935 is divided by 58938.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -5 (c) 0 (d) 5\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8590314 decades to years.\nAnswer: 8.590314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 8. Let j be v(-8). Let p(k) = -k**3 - 5*k**2 + k + 3. Let u be p(-5). Let d be (2 + -1)*j\/u. Solve d = 4*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -669*r + 1. Let w be t(-2). Let o = w + -26873\/20. Calculate the common denominator of o and 364\/(-30)*(-5)\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -103974*o + 5198699. What is p(50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)\/b)\/(b**(-2)\/b)*b\/b**7*b**3*b*(b**(-6)\/(b**(-2\/31)\/b))**(-7\/8) assuming b is positive.\nAnswer: b**(1071\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2348965*n**3 - 88*n**2 - 5*n + 88 + 5*n + 2349284*n**3. Let v(w) = 11*w**3 - 3*w**2 + 3. Calculate 3*m(u) - 88*v(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30265\/6 + 5057. Find the common denominator of (-15)\/6*46\/60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2120209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -2 - 3)\/1. Let p be 1\/6*(-1 + r). Which is smaller: p or 3\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 373? (a) 0.4 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280552 < -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-3)*1*((-21)\/140)\/((-11)\/176).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 - 7*r**2)*(61*r - 444*r - 410*r) + 4*r**3 - r**3 - 2*r**3 + (2*r - 4*r + 0*r)*(5*r**2 + r**2 - 4*r**2).\nAnswer: 4755*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217021 is divided by 642?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + b - 1. Let n be k(1). Let c be (-126)\/35*((-10)\/3 - 0). Let f = c + n. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*y = 30, -s = 3*s + y - 33. Let a(i) = 4*i + i**2 + 5*i - s*i. Let d(z) = -6*z. Give d(a(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdr when three letters picked without replacement from {d: 1, v: 3, r: 12}?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 31*o**2 - 62*o - 33. Let z(q) = 2*q**2 + 22*q + 19. Let v be z(-8). Is u(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 9. Determine t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (169\/22308)\/(13\/1560).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 16*i - 553. Calculate h(-14).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + (50 - (52 - 20))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0\/(-1)*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 + 697*m**3\/3 - 4154*m**2\/3 + 5528*m\/3.\nAnswer: -m*(m - 691)*(m - 4)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 2*p = 20, d + p - 4 = 0. Suppose 0 = d*y - 8597 + 81. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1999996 - -0.2. What is g rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 3426?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6458*w + 5933*w + 16275 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*180\/24. What is the highest common factor of 20 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 56 = -5*d + 3*h, h - 44 = -5*d. Calculate the greatest common factor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 4. Let g be m(6). Suppose -3*r - r = -3*b - 76, -r = -g*b - 19. What is the common denominator of r and 7\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 15058.9 (b) 0 (c) -3 (d) -1\/8 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511757 divided by -1.\nAnswer: 511757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40506 - 112020?\nAnswer: -41211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 9*x + 15. Let p be a(-6). What is the common denominator of -53\/2 and (-6)\/18*p\/(-40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89271 and 14742?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4604911, -4604909, -4604907, -4604905, -4604903?\n\"Answer: 2*m - 4604913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129 * -25.108.\nAnswer: -3238.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 79. Let r be ((-36)\/26)\/(-3) - 0\/5. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 271518.\nAnswer: 543036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, 86, 206, 326, 446, 566?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - v**2 + v. Let d be c(-2). Calculate the highest common factor of 104 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/960211 and -115\/15232.\nAnswer: 122907008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149182515899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:52 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651151116 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 4. Let q be a(5). Let w = -26 - -40. Solve w = 5*g - q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:26 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {v: 3, m: 17}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7920 and -41\/540?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5004233 - 5?\nAnswer: 5004224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 2*b + 10, 3 = -b - 4*i. Let y be 4\/b*(-18)\/(-84). Let w = 0.03 - 0.43. Sort w, y, 5 in ascending order.\nAnswer: w, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -108*j**4\/11 - 1576602*j**3\/11 - 1839246*j**2\/11 - 350320*j\/11 + 10616 = 0.\nAnswer: -14597, -2\/3, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -50. Let k(y) = -28*y + 1. Let v(o) = o**2 - 5*o - 1. Let r be v(5). What is the remainder when k(r) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31091 and 2.2?\nAnswer: -0.684002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 350\/110 + (-2)\/11. List the prime factors of v\/(105\/(-10)) + (-4134)\/(-14).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 12931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -13*a + 89 - 79, 8 = 4*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**2*c*k*t - 20*a**2*c*t**3 - 2*a**2*k - 4*a*c*k*t**3 + 9*c*t**2 wrt t.\nAnswer: -120*a**2*c - 24*a*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15296*y**3 - 6*y**2 + 2*y + 75 wrt y?\nAnswer: 91776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2085 = 5*k, -7*k = -9*k. Let o = 4593\/11 + g. Which is the nearest to o? (a) -0.2 (b) 5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y - 40. Let w(x) be the second derivative of -5*x**3\/6 - x**2\/2 + 3*x. Does 13 divide w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(209) + sqrt(209))*5)\/(-2*sqrt(396)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*x - 8*x + 116, b + 87 = 3*x. Calculate the remainder when 57 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 2*f**6\/33 + 58*f**5\/55 + 5*f**4 + 40*f**3\/33 - 112*f**2\/11 - 98*f\/11 - 128. Let c(k) = 0. Calculate k.\nAnswer: -7, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251635 divided by -336\nAnswer: -251635\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Let x(q) = 17*q. Let v be x(3). Let y be (-9)\/3 + v\/18. What is the second biggest value in b, -2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:34 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -348, 0.4 in descending order.\nAnswer: 0.4, -1, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38036 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 31 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 13*p - 1280. What is the tens digit of h(-97)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1457*0.07.\nAnswer: -101.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -16) + -6 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c + 2*c - 2*c)*(-2*c - 1 + 6 + 4*c) - 4*c - 23 - 16*c**2 + 23 to the form q + k*c**2 + y*c and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.076 - 0.124. Let q = -4\/87 - -86\/609. What is the nearest to p in q, -3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11045134, -11045135, -11045136, -11045137?\n\"Answer: -l - 11045133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100000010000100 - -10?\nAnswer: -110011100000010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -409, -404, -399, -394?\n\"Answer: 5*u - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 450819.2 grams?\nAnswer: 450819200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -15, 0.11, 15 in increasing order.\nAnswer: -15, -0.5, 0.11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1265026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -93 (b) -1\/11 (c) -2\/49 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w, 3*l + 2*w - 96 = -w. Suppose -5*r = -4*c - l - 9, 0 = -3*r + 3*c + 24. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 - -0.14.\nAnswer: -168.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i. Let m(y) = 491990*y. What is r(m(w))?\nAnswer: -5411890*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*s + 15 = 2*q, 0 = q + 5*s + 9. Let n(c) be the first derivative of 0*c**2 - 1\/21*c**q - 1\/14*c**4 + 0*c**3 + 0*c - 2 - 4\/35*c**5. Factor n(w).\nAnswer: -2*w**3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/484 and 145\/396.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5.46 times -9193\nAnswer: 50193.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8633 or 8630?\nAnswer: 8633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 429, 1476, 2523, 3570, 4617, 5664?\n\"Answer: 1047*w - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2478 + 2621. Suppose -3*l + 130 = 2*l. What is the highest common divisor of w and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/7 + ((-2)\/8 - (-26075)\/(-4500)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*w*y + 3*c**2*w + 14*c**2*y + 6*c**2 - c*w - 1166*w*y wrt c?\nAnswer: 8*w*y + 6*w + 28*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j - 89. Let d be k(12). Let x(g) = g + 9. Calculate the smallest common multiple of x(d) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.69 and 0.057.\nAnswer: -0.03933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8433025, 16866059, 25299095, 33732133, 42165173?\nAnswer: 50598215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 18 = -2*a, -2*a = -2*x - 3*x + 10. Let i be (0 + (x - 4))*2\/4. Suppose 27*s - 32*s + 840 = i. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114610 + 57101. Let t = s + 57507.50065. Let p = t + 1.5. What is p rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17\/94 (b) 0.58 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6766*x**3 + 3381*x**3 + 3388*x**3 + 4.\nAnswer: 3*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w + 19*w + 180 + 670 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = -3*a, -2*a + 13 = 4*n - 9. Suppose -b + n*b = -4*u + 17, -b + u + 8 = 0. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123803077*b**3 + 37183074*b?\nAnswer: -742818462*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33186 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: Is (450\/(-12) - -7)*-1*34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let c = 796 + -17499\/22. Find the common denominator of (-1)\/b - 655\/(-140) and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*h + 1)*(-h + 2*h - 3*h) - 2*h**2 + 3*h - 3*h)*(-1 - 1 + 6 + (-6 + 3 + 4)*(-2 + 3 + 1)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 20, -54, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90343 greater than 90344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*o + 29 = 0, 2*o - 2 = -0*m + 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*i + 5*w - 19, -3*w - 17 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19902342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.97832 decades to millennia.\nAnswer: 0.0697832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.4 (b) 3 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let p = m + -4. Let f = p - -2.5. What is the closest to 1 in f, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(156) + sqrt(156) + 1*sqrt(156))*3)\/((sqrt(132) + 2*(sqrt(132) + (sqrt(132) - -2*sqrt(132))))\/sqrt(11)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*483\/(-621)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y**13\/y)\/y))\/y)\/(y\/y**(-1\/5)*y*y))\/((y*y*y**(-2\/15))\/y**(-6)))**50 assuming y is positive.\nAnswer: y**(-3310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c - 12. Let w be o(-6). What is the greatest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*n - 9*n + 41*n - 5*n**2 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/24 + h**3\/2 - 12*h**2. Let v be r(0). Suppose -v*l = -50 - 79. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225777 - -1?\nAnswer: -225776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 9040*b - 312767. Determine y(-35).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 26541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -6 - (-2 - (19 + -25)). Sort g, 1, -5, -8, -1 in increasing order.\nAnswer: -8, -5, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/57)\/c**(3\/10))\/((c*c*c**(-6)\/c*c)\/c**19))**(-14) assuming c is positive.\nAnswer: c**(-90713\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 - 6*x**2 - 46 + 11.\nAnswer: 5*x**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -156*w**3 + 3*w**2 + 6*w - 12. Let x(v) = -v**3 + v**2 + v - 2. Give -j(h) + 6*x(h).\nAnswer: 150*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n + 16 = 0. Let z be 16\/30*6\/8. Find l such that 0*l - 2\/5*l**n - 2\/5*l**5 + z*l**2 + 2\/5*l**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*1\/5)\/((-200)\/(630000\/189)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17891577\nAnswer: -1\/5963859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/3 (b) 4 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.68 + 28.68. Let w = l - 23. Which is the second biggest value? (a) 1\/7 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2549, 5682, 8497, 10994?\nAnswer: 13173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 280*p**3 + 290*p**2 + 280*p - 285.\nAnswer: -5*(p - 1)**2*(p + 1)*(p + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*l - 198, l + 6 - 2 = 0. Let i be 28\/n + (-136)\/(-10). Let j(k) = -k + 14. Let q be j(0). What is the highest common factor of q and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 5. Suppose -2*x = -0*x - 10. Let z be -2 - x\/(15\/(-24)). Let c(t) = 8 - 20*t + 20*t + z*t**2. Calculate -5*c(h) + 8*m(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 37*f + 11. Let s be h(-5). Suppose -m - s = -32. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-844)\/(-2321))\/((-40)\/(-55)))\/((-1)\/(-408)*3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d**3 + 2 + 2 + 1 - 4 wrt d.\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.81046 to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -49 - (7 - (-2 + -19))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8975, -12282, -15591, -18908, -22239, -25590?\n\"Answer: -h**3 + 5*h**2 - 3315*h - 5664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3544018 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:44 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - -3 - 1 - (-6 - (-2 - -20))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17*(-44)\/(-13090) - (-4)\/(-5). Sort -5, 0.4, h in decreasing order.\nAnswer: 0.4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 156 (b) -23\/2 (c) -0.2 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b\/b**(-11)))*b\/(b\/b**12))**(-39))**17 assuming b is positive.\nAnswer: b**(-15249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 107357 + 244176. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 126. Suppose -38 + x = z. What is the smallest common multiple of 30 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 2*f**2 - 7*f + 5. Let o(g) = 4*g**3 - g**2 - 7*g + 5. Let u(r) = 3*i(r) - 4*o(r). Give u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/1480551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 10. Suppose 0 = 6*x - p*x - 48. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 0*j = 11*j + 72 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 3. Suppose -l = 4*n + 4*l - 31, 4*n = 5*l + 1. Suppose 0 = z - n + 2, -3*k = -4*z - 25. What is the remainder when h is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**3 + 14*c**2 - 14*c**2)*(202 + 666 - 1672).\nAnswer: 4824*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-144 + 143)\/((-2)\/(-7))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 156*i - 164*i + 51752. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5664\/53 + 235825\/212. Let o = -1227 + j. Which is greater: 2\/5 or o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0 (b) -803 (c) 4 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474417.40205212 + -872.60098212. Let k = -473519.8 + d. Let g = k + -25. What is g rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:38 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**3 + 3*m**2 + 9*m + 11. Let d be h(-3). Let y = 741 - d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (62\/124)\/((-1)\/14). Which is the second smallest value? (a) -5 (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 83, 157, 271, 431, 643?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/42 - (-4)\/(-14). Let x = -3.37 - 0.23. Let n = x + 4. Which is the second biggest value? (a) s (b) -3\/8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-27)\/12*(-22)\/33.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 5*o + 4. Let p be i(-5). Suppose p*b = -3 + 15. What is the second derivative of 3*k + k - k**b - 2*k wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/19))**(15\/4))**(-41) assuming f is positive.\nAnswer: f**(-10455\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14480545, 57922174, 130324889, 231688690, 362013577, 521299550?\nAnswer: 709546609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 4*r**2 + 2*r - 4. Let v be q(-3). Is v at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 99*l. Let y(o) = -492*o + 93. Let h(p) = -15*i(p) - 3*y(p). Calculate h(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = 0, -31 = -o - 2*g - 6. Suppose 6*v = 3*v + o. Calculate the least common multiple of v and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004324738 to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**7\/630 + y**6\/80 + y**5\/5 - 2*y**4 - 41*y. Let p(f) be the third derivative of x(f). Differentiate p(s) wrt s.\nAnswer: -8*s + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4616)\/(-1504) + 0 + -3 and 69\/4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnun. What is prob of sequence uun?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1220?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581397 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24362 (base 9) to base 15.\nAnswer: 4c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z - 1265 = -223*z + 4115 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61645165 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-8))\/7*12\/9*46\/(-391).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - 1) - (-22 + -9 + 32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 514 + 935. Suppose -3*n - w = -6*n. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -29. Suppose 0 = -15*a + p*a. Solve a = 4*l + 8, -5*l - 7 = -2*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*(-72)\/90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 10*m - 16. Let d be q(3). Suppose d = k + 1. Solve k*t + 2 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 19*v + 9. Let k be d(-5). Solve -k*g - 2*t = 2, 1 = 3*g + 3*t + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231370500 to the nearest one million.\nAnswer: 231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2 - 2*k + 2*k**2 - k**3 + 1 + 2*k**2 + 16 + 3. Give i(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((324\/(-10))\/(-6))\/((-64)\/320).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3, 15, 1\/5, -0.3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*u + 57*u + 106*u + 100*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136647 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3 - (-40)\/75.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 77978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-32 - -1) + -1809 + 1817.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 4*j - 35 = 0. Sort -2, 0, j, -14 in decreasing order.\nAnswer: 0, -2, j, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40 and 51\/270676?\nAnswer: 270676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56351 = -82*x + 61927 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 11, 14 in descending order.\nAnswer: 38, 14, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 153 + 321 = 21*w, 2*b = 4*w - 32 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k = -7. Let u(r) = -r - 4. Let n be u(k). Let o be ((-6)\/9*n)\/6. What is the second smallest value in -0.3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951.\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 35393384.99 to the nearest 100000.\nAnswer: 35400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:04 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/525)\/((80586\/(-135))\/37)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473274931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-452 + 376)\/(((-6)\/(-1))\/3 + 0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 518336 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/5*(-790)\/(-1343)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/(13\/130). Sort -16, c, 5 in descending order.\nAnswer: 5, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*r - 33. Let u = 33 - r. Let b(j) = -j + 7. Give b(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 9. Let w(q) = 2*q - 6. Let i(u) = -5*r(u) - 7*w(u). Let n be i(6). Let b be (-6 - -6)\/(n*1). Round b to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - (-4 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 566886257 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c - 410. Give h(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from zrbibvbbibzzzivvzzp?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/(-154))\/((-235)\/40 + 6). What is the fourth smallest value in f, -2\/9, 650, 4?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*a - 155, z + 5*a = 185 - 37. Let o = -154 + z. Which is greater: o or -2\/505?\nAnswer: -2\/505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.313041 - -43049.\nAnswer: 43049.313041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*r - 5. Suppose 175 = r*k - 2. What is the remainder when k is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221 (base 7) in base 6?\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 19*k**2 - 4*k**2 - 10*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15597965 to the nearest 100000.\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 7867630*p + 3094980090845.\nAnswer: 5*(p + 786763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqj when three letters picked without replacement from {t: 11, q: 4, j: 4}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**2 + 8*z - 11. Let x(o) = -o**2 - 24*o + 27. Let c be x(-25). Let u(i) = 2*i**2 - 5*i**2 + c*i - 3*i + 4 - 2*i. What is 4*b(d) + 11*u(d)?\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -40*f + 2. Let q = -59 + 58. Let t be y(q). Let u be ((-1)\/(-2))\/(2\/84). Calculate the greatest common divisor of u and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/15 + 3*s**5\/4 + 25*s**4\/4 - 4808*s**2 + 1137*s - 2. Differentiate t(d) wrt d.\nAnswer: -8*d**3 + 45*d**2 + 150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(-2*sqrt(1331)*1*1 - (1*sqrt(1331) + sqrt(1331) + sqrt(1331) + 2 - (sqrt(1331) + 1 + sqrt(1331))*3))**2.\nAnswer: -6655 - 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -944 - -1626. Suppose -5*k = -r + 212. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j - 2882 - 70*j + 270*j - 67*j - 66*j.\nAnswer: 2*j - 2882","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 7*z + 0*z**6 + 0*z**5 + 0*z**4 - 5\/14*z**7 + 7\/6*z**3 + 0*z**2 + 0. What is the second derivative of c(j) wrt j?\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296236767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*b**2*l**2 - 618*b**2*v + 18*b**2 + 5392401*l**2*v wrt b.\nAnswer: 258*b*l**2 - 1236*b*v + 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1 + (3095\/(-925) - 108\/1998)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83*486.\nAnswer: -40338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1041*o - 432127. What is m(-415)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.3, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, 0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1)\/c))**40\/(c**1)**29 assuming c is positive.\nAnswer: c**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*14\/(-105)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24036 + 45036. Let x be (0 + h)*((-762)\/14 + 3). What is x rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000800704 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a84 (base 14) to base 5\nAnswer: -31301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -41. Suppose 0 = 12*v - 7*v + d. Let j(a) = a**3 - a**2 - 2*a - 1. Let s(z) = -3*z**2 - z + 1. Let y(i) = -j(i) + s(i). Determine y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4859252 and -117\/40.\nAnswer: 48592520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*s - 11, -w + 4*s = w + 2. Solve -2*y + 4*y - 4 = 2*a, -3*y = w*a + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 - -6.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1969*n - 9969. Calculate u(5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Suppose -w = z + 6, 2*z = -0*w + x*w + 3. Let l = -3.56 + 3.86. What is the nearest to -0.2 in l, w, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-16 - -42) + -78 - 17?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.003 + 5.003. Which is the biggest value? (a) -4 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/(-7))\/(-30)*93)\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-104)*75\/25\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/6)\/4*9\/5. Suppose 0 = 7*s - h*s + 52. Is s != -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 6, 0.3, -0.072, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157061734 and 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -11 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3.164, -2\/17, -5\/2 in descending order.\nAnswer: 2, -2\/17, -5\/2, -3.164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -495426924 divided by 2868?\nAnswer: -172743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349216287?\nAnswer: 3, 7, 43, 101, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (78 + (-7 - -18) + -2 + -13).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1805622, -1805612, -1805604, -1805598, -1805594?\n\"Answer: -n**2 + 13*n - 1805634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2367.1105 + -0.1105. Let q = m + -2365.911. What is q rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:32 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1493 + (8 - 10) + 1*5. Suppose 40*j - r = 29*j. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-4 - 4 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 (base 10) in base 16?\nAnswer: 3f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1019248 - 11?\nAnswer: 1019237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268, -466, -666, -868, -1072, -1278, -1486?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8687141715.99999914 + -8687141821. Let c = -105 - r. What is c rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3475 and 720?\nAnswer: 500400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 59 * 0.24\nAnswer: 14.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 3*h. Let q be k(-5). Let c(i) = -i**3 + 5*i**2 + i + 4. Suppose 16 = -w + 14. Let t(o) = -o**2 - 1. What is q*t(p) + w*c(p)?\nAnswer: 2*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a - 36 + 29 - 19. Let i be x(5). Suppose -i*s = 2*s - 378. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*z + 2*z + 4, 5*u + 14 = 2*z. Let v be (-2)\/(-30)*14*z. Let g = 88\/35 + v. Put g, 1\/11, -0.2 in increasing order.\nAnswer: g, -0.2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 16. Let x(z) = -5*z - 13. Let p(u) = 4*f(u) - 5*x(u). Let t(q) = -7*q**2 - 6*q - 6. Calculate -6*p(g) - t(g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 7*m - 357. Give w(-13).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12184\/8 - (-1 + 3) - (2 + 1).\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 + 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -173, -1172, -2815, -5096, -8009, -11548, -15707?\n\"Answer: x**3 - 328*x**2 - 22*x + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:09 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1847178859 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 36*g - 2005. Determine r(17).\nAnswer: -1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:59 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (151 - 5179*g - 5095*g - 151)*(3*g - 6*g + 2*g) to the form d*g**2 + i*g + y and give d.\nAnswer: 10274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 2*i**2 - 2*i - 2. Suppose l - 4*p = 11, -5*l + 4*p = -0*l - 55. Suppose 0 = -3*j - 4 - l. Is d(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275250?\nAnswer: 2, 3, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z, -2*h - 3*z = -86 - 79. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103712 is divided by 4312.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1287*t + 457*t + 249*t)*(-1 - t + 1) + t + 25*t**2 - 5*t - 22*t**2.\nAnswer: 584*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (13461*p + 1489 - 6730*p - 6732*p)*(-2*p + 2*p - 3*p) as q*p**2 + d + o*p and give o.\nAnswer: -4467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7881 + 12157. What are the prime factors of z?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + -2)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3*-1)\/((-2601)\/2023)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 176 + 251 = 0. Factor 9*f**2 + f**5 + 11*f**2 - 20*f**3 - 5*f**4 + 2*f**l + 2*f**5.\nAnswer: 5*f**2*(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.14 + 1.140527. What is x rounded to 5 dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18554.08991 - -18554. Let h = v - -0.09. Round h to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 1, q: 2, g: 4, x: 7}. Give prob of sequence pt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 6, h: 5, w: 1}. What is prob of sequence eue?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829734388, -1659468776, -2489203164, -3318937552?\nAnswer: -4148671940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*b - 12 = -76, 4*t - 68 = 2*b. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyymuek. Give prob of sequence ym.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 197565163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 16*b**2 - 38*b - 35. Let q be r(17). Let n = q - -376. Let v(x) = -x**3 - 17*x**2 - 16*x + 2. What is v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 196*m**2 - 5*m + 200*m**2 + 3*m**3)*(106*m - 423184 + 423184).\nAnswer: 318*m**4 + 424*m**3 - 106*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51833 - -416243\/8. Let d = -197 + i. Let q = d - 5\/8. Which is the second biggest value? (a) q (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 15*a + 59. Let g be v(-8). Suppose -8*z - 549 = -i - 6*z, -g*i + 1658 = 5*z. Calculate the highest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 + 209 = -7*o. Let u = 137 - o. What is the highest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 210855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210059745 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.024 - 0.976. Let w = -0.5 + 0.4. Which is the nearest to m? (a) -4\/5 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 11, u: 2}. What is prob of picking 2 f?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(2\/18). Let m(j) = -5*j**2 + 3*j + 3. Let b(o) = 11*o**2 - 7*o - 7. What is r*b(a) - 7*m(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o + 39 - 41 - 19*o - 39*o.\nAnswer: -74*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1255, 3\/4 in increasing order.\nAnswer: -1255, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/70 and -119\/1080900?\nAnswer: 7566300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69969, 130503, 191035, 251565, 312093, 372619, 433143?\n\"Answer: -s**2 + 60537*s + 9433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -578.\nAnswer: 231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-9 - -2) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*y + 8 = 3*y, -4*y = 2*p - 28. What are the prime factors of (752\/(-20))\/((-4)\/p)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 0, -742, -7 in descending order.\nAnswer: 62, 0, -7, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 103167.57023.\nAnswer: 103167.07023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m - 32. Let j be m\/(-36) + 32\/18. Solve -2*v = 0, 5*l - j*v - 11 + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((7 - -7) + -3 - 31)) + (4 - 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 266248.9 times -4\nAnswer: -1064995.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*m = -72, 3*g - m = 84 - 22. Let s be 1\/2 + (-10)\/g. Suppose 3*c - c = 6. Solve -c*v - 12 = -s*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*r + 4*r - 6 = 0, -4*y = r - 4. Let h(i) = 8*i**3 + 2*i**2 - 3*i + 1. Let m be h(y). Let l = m + -36. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10161748739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9282846 and 5.\nAnswer: 46414230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53376398, 53376396, 53376394, 53376392?\nAnswer: 53376390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 8*h**2 - 13*h + 20. Give y(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10903\/2 - 5450. Factor 3 - v*t - 3\/2*t**2.\nAnswer: -3*(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5 - 2\/5*m + 0*m**2 + 2\/5*m**3 - 1\/5*m**4.\nAnswer: -(m - 1)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-3\/4)*u)*u*u*u*u)\/u)**46)**(-2\/59)*((u**(-2))**(-7\/4))**(11\/5) assuming u is positive.\nAnswer: u**(2013\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f - 112*f - 9842 = 138*f + 3106 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 10\/3*j**3 + 84*j + 0 + 41\/2*j**2. What is the derivative of m(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let z(v) = -5*v + 3. Let n(b) = 3*o(b) + z(b). Let g be n(0). What is the third derivative of g + 4*c**5 - 1 - 2 + 10*c**2 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511803 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107315805 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -43*c - 14*c + 29. Let r(t) = -83*t - 4. Let m(u) = -28*u - 1. Give c*r(g) - 7*m(g).\nAnswer: 30*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317 - -317. Let k = -9 - -3. Put k, i, -1\/2 in ascending order.\nAnswer: k, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 + (-77)\/(-21). Suppose t - 3*r = -4*t + 20, x*t = 3*r + 12. Suppose 3*i = -3*i - 6. Put 11, i, t, -2 in decreasing order.\nAnswer: 11, t, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2 - 3*x + x**3 + 9*x - 3*x. Let j be q(-6). Let t be (j\/72)\/((-6)\/16). Solve -5*c - m = -5, 2*c - 7 - 7 = t*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 874, 1291, 1702, 2107, 2506, 2899?\nAnswer: 3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2248?\nAnswer: 1\/562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/2)\/(8\/24). Let t = 19 - f. Suppose -5 = -3*v + t. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(20\/(-930)). Let h = -28 - w. Suppose -b = 3*b + s - 5, -5*b + 4 = 2*s. Calculate the highest common factor of b and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275 (base 13) to base 9\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/126*-3)\/(((-12)\/210)\/(18\/(-45)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:23 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and 0.05 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -400, -402, -404, -406?\n\"Answer: -2*h - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:58 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/21 and 0 - -2 - ((-10880)\/30)\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.68 - 13.38. Let a = -60.3 + 34.2. Let d = m + a. What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103233 - -1130321?\nAnswer: 1300220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + 2*m - 4, 0 = -4*k + m - 2. Suppose 13 = 3*w + 5*x, -w = -k*w + 3*x - 3. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -90*q**2 + 40*q - 10. Let b(v) = 89*v**2 - 50*v + 8. Give -4*b(t) - 5*g(t).\nAnswer: 94*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 39*n - 179. Give l(8).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k + 13. Suppose -6*y = -10*y - 12. Let a(v) = -v**2 + 4. Let z be a(y). Let g be b(z). What is the highest common factor of g and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, -370, -1564, -3894, -7744, -13498?\nAnswer: -21540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 2585?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - fc4bd1?\nAnswer: -fc4bcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 8*z**2 + 11*z - 10. What is the lowest common multiple of w(-3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5263406*o**3 + 2*o**2 + 14287*o + 474.\nAnswer: 31580436*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l - 33*l - 32*l.\nAnswer: -113*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 115 - 45 = 0. Suppose 11*f - h = 3*f. Suppose -4*y = -5*s + y + 520, -f*s + 517 = -2*y. List the prime factors of s.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1938252*b**5 + 12461*b + 11.\nAnswer: -38765040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840) + (sqrt(3840)*-2 - sqrt(3840)))\/(-1*sqrt(192)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 4*c, -f = -c + 1. Let j = -22 - -7. What is the units digit of (f\/(-5))\/(3\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -19*h + 3. Suppose 0 = 3*j - 2 - 1. Let w(z) = -1. Let m(s) = -6*s - 5. Let i(r) = j*m(r) - 6*w(r). Give 2*g(t) - 7*i(t).\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 - -3) + -1. Let d = 56233 + -56230. Let r = -662\/5 + 132. Put 3\/4, r, d, c in decreasing order.\nAnswer: d, c, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2692, 10704, 24192, 43270, 68052, 98652?\n\"Answer: 19*r**3 + 2624*r**2 + 7*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/77 + 6\/11. Let c = 5\/11 + -9\/44. Sort k, c, 1\/3, 0.2.\nAnswer: 0.2, c, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-4) - (-6 - 267\/(-21))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*2 + 1)*-8. Let s(f) = f**3 - 8*f**2 + 8*f + 2. Let c(n) = n + 1. Let i(h) = -5*c(h) + s(h). List the prime factors of i(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -76. Let l be 1\/(-1 - -2)*44\/f. Is 3\/7 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**5\/20 - 17*w**4\/12 - 10*w**3\/3 + 18*w**2 - 504*w. Factor o(n).\nAnswer: (n - 18)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52933600 rounded to the nearest 100000?\nAnswer: 52900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*c - 100 = -3*i, 4*c + 100 = 4*i. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1165894 by 582947.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5525 (base 10) to base 12.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-324) - (-4)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16217 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.1 (c) -35174 (d) 0.4 (e) 2 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/6 + 3*s**2\/2 - s. Let x(n) = -2*n - 6. Let j be ((-456)\/1520)\/(3\/(-70)). Give j*o(h) + 3*x(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x. Let v(o) be the second derivative of o**4\/24 - o**2 + o. Let f(c) be the first derivative of v(c). Determine j(f(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/25*(-225)\/(-720)*-16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 7889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139.7 - 174.\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1 = -4*k + 7, 0 = -3*k + 3*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2500 + -2499.999990962. Round g to 7 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77944, 77943, 77942, 77941, 77940, 77939?\nAnswer: 77938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, -387 in descending order.\nAnswer: 24, 3, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863864336?\nAnswer: 2, 19, 149561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 6*y + 5*y)*(4 - 5 + 0)*(-6 + 5 + 5)*(-3 + 5 - 6)*(2 - 3 - 1).\nAnswer: -128*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6734988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1124, 2225, 3316, 4391, 5444, 6469?\n\"Answer: -j**3 + j**2 + 1105*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:28 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3482 and 295139543.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*s**2 + 329*s**2 - 42*s + 19*s + 568.\nAnswer: -2*s**2 - 23*s + 568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o - 1. Let y(j) = 2*j**2 + 5*j - 5. Let d(l) = -3*m(l) - y(l). Let r(w) = 14*w**2 + 6*w - 23. Let u = 26 + -9. Give u*d(n) + 6*r(n).\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0705654605 and 4465.\nAnswer: 4464.9294345395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 364 + -69. Let d(i) = -2*i**2 + 14*i - 9. Let u be d(14). Let p = u + m. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2147 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1426 - -1432. Put 2\/15, 1\/5, -1\/5, k in descending order.\nAnswer: k, 1\/5, 2\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -13) + -13 + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1163*u**3 - 219*u**2 - 2 wrt u.\nAnswer: 6978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770 + 0*q**2 + 2*q**2 + 944.\nAnswer: 2*q**2 + 1714","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2087 - -233?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-194805)\/1620)\/(130\/80).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.741593 months in centuries?\nAnswer: 0.0039513275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:29 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 7.89?\nAnswer: -8.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-19 - (-6 + 5)) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 108876 and 2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 8422270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggjmm. Give prob of picking 1 g and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 977866.9856.\nAnswer: 977866.4856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152275, -304564, -456853, -609142, -761431, -913720?\nAnswer: -1066009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:10 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9592 minus 1.78?\nAnswer: -9593.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2752, -3381, -4022, -4681, -5364, -6077, -6826?\n\"Answer: -n**3 - 622*n - 2129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 15*j - 2. Let f be t(14). Suppose 4*q - 2*q = 2*v - f, -2*v + q + 7 = 0. Is v less than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 5505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049 * -833.\nAnswer: -40.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -14. Let u = -9 - w. Suppose -9 = 2*q + q. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 160\/669?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 206, 1.2, -2, -1\/2, 3\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**5 - 276*s**4 - 4812*s**3 - 17408*s**2 - 21360*s - 6912 = 0. Calculate s.\nAnswer: -9, -2, -1\/2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {n: 2, x: 2, p: 6, i: 3, m: 3, b: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/6, 0, 1\/5, 93882 in decreasing order.\nAnswer: 93882, 1\/5, 1\/6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 0, n + 2 = 4*r + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**5 - 2455*v**4 + 1388*v**3 + 298788630*v**2?\nAnswer: -120*v**2 - 58920*v + 8328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -z - 4*d - 12, 2*z - 3*d = 20. Suppose 1 = -m + z. Let t be (m + -2)*(-2 + 6). Solve q + t*q + 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.968 - 4. Let u = -89956 - -89955. Do u and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (9 - 1) - -3 - (-11 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 21*a - 27. Let r be l(9). Let u = -0.07 - 0.93. What is the third smallest value in 2\/9, u, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3.6462384 minutes?\nAnswer: 0.00036173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 71 + 16 + 174 - 622 - 612 to v*c + a and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**(-36)*w**(-4)*w*w\/w**(1\/5)*w assuming w is positive.\nAnswer: w**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 21456*u - 668980.\nAnswer: 4*(u - 31)*(u + 5395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62014 + -4?\nAnswer: 62010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v + 2*v**4 + v - 2*v**4 - v + (2*v**2 - 2*v**2 - 2*v**2)*(5*v**2 + 4 - 4).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 12*a + 5. Let g(l) = -13*l - 5. Let i(x) = 2*g(x) + 3*y(x). What are the prime factors of i(-7)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 6. Suppose -4*s - 20 = 4*k, 0 = 2*k - q + 12. Let j = 2 + s. Solve -d + j = f, -2*d - 2*f - 1 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -517497*y + 1034986. Give w(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2 + 5*j**2 - 5*j**2 - 4*j**2. Let h(u) be the second derivative of -u**4\/6 + u**2\/2 - 3*u. Let o(v) = -4*g(v) + 9*h(v). Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 - 116. Calculate the remainder when s is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 2*n + 4*n)*(1 + 0 - 2 - 3 - 3 + 4 + 6 - 3 - 4 + 1 + 3 - 3 + (-3 + 4 + 1)*(-1 + 4 - 1) + 1 - 1 - 3 - 3 + 2 - 1).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232485974 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 46 - 48 = 0. What is the derivative of 7 + 7*j**m - 3*j**2 + 8*j**2 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 308\/121 + -2 + 87762\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24528 - -24544. Let u be 3\/9 - 431\/(-3). Calculate the greatest common factor of l and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15581.81 and 605100.\nAnswer: 620681.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-315))\/(138\/161).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 + -6)*(-190)\/(-2600)*13?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.056 + -135.056. Let n = 134.99999757 + y. What is n rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((((-434)\/70)\/(-31))\/(-18)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/3 - n**3\/6 - 2*n**2. Let t = 29 - 33. What is the tens digit of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -322233?\nAnswer: 322230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1874 - 1069 - 1035)*(-3 + 2 - 2)*(32 - 44*b - 32)*(-1 - 1 + 1) + (4*b + 0*b - 3*b)*(-1 - 2 + 4) in the form j*b + c and give j.\nAnswer: 30361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/13 - 297476*t**3\/13 - 11062091250*t**2\/13 - 44243605512*t\/13 = 0 for t.\nAnswer: -74367, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -204468139251569\/328572747130953 - 5047\/5592703812. Let f = 9\/18077 + n. Let z = -7\/13 - f. Calculate the common denominator of -5\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x + 57*x - 20*x - 25*x - x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2255 > -2245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -13*w + 21*w. Determine r, given that r**w - 27 + 70 - 31 + 5*r - 6*r**2 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.21258 months in millennia?\nAnswer: 0.021517715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1782 and 1749?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(297))\/sqrt(9))\/sqrt(3).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -82, -186, -352, -592, -918, -1342, -1876?\nAnswer: -2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -192\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 1 - 5*i - 1 + i**3 + 2 - 3. Let w be b(-3). Suppose o - 2*z - 9 - 4 = 0, w = 3*z. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 h when four letters picked without replacement from hjjdjsjbsjtjs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 2 + 2*s - 5*s**2 - 2. Suppose -7 = -3*y + 2. Let q(c) = -3*c + 12*c**2 - 36*c**2 + 18*c**2. Determine y*q(t) - 4*u(t).\nAnswer: 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4968, 9933, 14898?\nAnswer: 19863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, 150, 753, 1970, 4005, 7062, 11345?\nAnswer: 17058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53.11449ng?\nAnswer: 0.05311449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003080878285 to 5 dps.\nAnswer: 0.00308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212075 is divided by 68783?\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007142342?\nAnswer: 2, 1003571171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(99)) - sqrt(99) - -3*(3*sqrt(99))**2.\nAnswer: 3*sqrt(11) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 7. Let k be s(9). Let n(d) = -4 - d - k - 2*d. Suppose 0 = 2*q + i + 5, -5*q - 11 = 2*i + i. Calculate n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {q: 4, e: 2, k: 1, p: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 11*c - 8*c)*(1 + 0 - 3)*(3 - 3 + 1)*(-2 + 4 - 1).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 238520?\nAnswer: 1669640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.9709 * -5\nAnswer: -4.8545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -67*d - 7. Let r be m(-3). Let j = 187 - r. Let n be (2\/(-28))\/((-1)\/(-108)). Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-11)\/(-63). Let b = 0.1 - -0.9. Let u = 0.8 + -1.3. What is the nearest to -1 in u, b, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78216000 to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781751190 to the power of 1\/2, to the nearest integer?\nAnswer: 42211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, -6, -25, -50, -81?\n\"Answer: -3*f**2 - 4*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnpp when four letters picked without replacement from {p: 4, l: 7, n: 1, t: 1, u: 3}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/3 + 9452*j**3\/3 - 37872*j**2 + 454720*j\/3 - 606464\/3 = 0. What is j?\nAnswer: -4738, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43243500 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkkkkkvkxkxkkk. Give prob of picking 1 x and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 + 520 = 35*x. Sort x, 2, -193, 3, 0 in decreasing order.\nAnswer: x, 3, 2, 0, -193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.03 + 14. Let m = u + 0.23. Let s = -17.7 + 17. Do m and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.5 (b) 776.3 (c) -2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from {x: 3, u: 1, w: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*o - 66, -2*r = -5*o + 3*r - 75. Suppose 2*h + 55 + 57 = 0. Let u = o - h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403.8626um to millimeters.\nAnswer: 0.4038626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837315648?\nAnswer: 2, 7, 29, 103, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 48*u**2 + 0 + 11*u - 1.\nAnswer: -48*u**2 + 11*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 120 = 15*i. Solve 0 = -7*q - 2 - i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.3, 1\/80, -0.2?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4594*z - 87266. Calculate v(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411, -1658, -3737, -6648, -10391?\nAnswer: -14966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361769?\nAnswer: 73, 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 23*z**2 - 68*z - 159. Calculate f(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 313d (base 14) to base 12\nAnswer: 4aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16212?\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4.4. Let v = 1.512 + x. Round v to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2 - 55752*o + 22300 = 0. What is o?\nAnswer: 2\/5, 11150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 = -4. Suppose 0 = 3*u - 10 + i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206.27 + 206.7. What is the biggest value in -7.7, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 - -0.3. Let n = g - -5.08. Let l = -607 + 609. Put -1, n, l in descending order.\nAnswer: n, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17951089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h*h*h**(-26)*h)\/(h*h**29*h*h*h))\/(((h*h*h*h**(-21))\/h)\/(h*h**(23\/2))) assuming h is positive.\nAnswer: h**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwgwwwgwwwgwwjbww. Give prob of picking 1 b and 1 w.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 1, 24, 79, 178, 333, 556, 859?\n\"Answer: 2*g**3 - 2*g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573412*d + 2*d**2 + 1146829*d - 573417*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 5*x**2 + 229*x - 2016. Calculate the remainder when b(9) is divided by 111.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 171 = -1469. Calculate the remainder when z is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -8*p + 4. Let v be 2 - (12\/3 + p). Is -2 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 464*f**2 + 100360*f - 6084000.\nAnswer: 2*(f - 900)*(f - 130)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19420200 times 6?\nAnswer: 116521200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/118647570 and -41\/15.\nAnswer: 118647570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (1*sqrt(76) - sqrt(76)))*3 + sqrt(76).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (54 + (-56)\/(-8))\/((-2)\/(-10)). Let d(v) = -611*v + 304*v + u*v. Calculate d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 5, 1, -136, -4, 3 in ascending order.\nAnswer: -136, -13, -4, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/158 and (1 - 8)\/(-7)*(-41)\/10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6*81\/756.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/5))**(-7\/5)*(q**(-2\/3))**(-19\/4) assuming q is positive.\nAnswer: q**(181\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 536376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128138299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7722 and 77?\nAnswer: 54054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3234189, 6468378, 9702571, 12936768, 16170969, 19405174, 22639383?\nAnswer: 25873596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 443845657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*n - 1474*n - 1478*n + 6043*n - 1611*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 36993, -5, 5 in ascending order.\nAnswer: -5, 1\/5, 5, 36993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 130\/15)\/(4\/(-252))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 47274?\nAnswer: -7\/47274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 21*r + 166. Give i(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/2*(-3)\/(-4). Calculate the greatest common factor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 378 - 2?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - c1b27d?\nAnswer: -c1b27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1038*s - 97442. What is w(94)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(sqrt(176) + -1*sqrt(176))\/(-1*sqrt(196)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-9))\/(2\/(-6)). Let g(j) be the third derivative of 0*j + 1\/12*j**4 + 0 + 1\/2*j**3 + 2*j**2. What is g(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.026 less than -1391549779?\nAnswer: -1391550039.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 3*k = 25*f - 7304, 2*k = -3*f + 5480. Calculate the smallest common multiple of f and 229.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3 (c) -3\/11 (d) -0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12528\/(-64))\/27*-4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175234 is divided by 3129.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + 9 + 2 + 147 + (-7 - 3).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohkojkkhkh. Give prob of sequence hko.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - n - 9, 13 = -g - 3*n - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*m**3 - 2*m**2 + 15*m - 1 wrt m.\nAnswer: 678*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 32 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = -t. Suppose -t*w + 245 = -w. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 (base 14) in base 5?\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h - 10. Let n(t) = 2*t**2 - 2*t - 2. Suppose 4*s + 4 = -4. Calculate the smallest common multiple of h and n(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 9*i**2 - 7*i + 11. Let a(u) be the third derivative of u**5\/60 + u**4\/12 + 2*u**2. Let v be a(-4). List the prime factors of g(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206 + 9*z + 304 - 4*z + 550 + 281 to x + f*z and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13aca - -16?\nAnswer: 13b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k - 3. Let l be m(3). Suppose h + 12 = -44. Let d = -41 - h. Solve -3*r - 4*v - d = 2, -4*r - l*v - 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x*(x*x**(-2\/17)*x*x)\/x*x*x*(x**1)**(-13))**28 assuming x is positive.\nAnswer: x**(-1484\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 = 3*t, 5*h = -2*t + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/19, -3\/2, -1, 2, -5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 553 = d. Round d to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1608, -1624, -1654, -1704, -1780, -1888, -2034?\n\"Answer: -i**3 - i**2 - 6*i - 1600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19.884 and -5.\nAnswer: -24.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {a: 4, m: 1, w: 2, n: 3, x: 6, d: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 + 1756\/5. What is the nearest to 3 in -4, q, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = -5*d + 525. Let t(z) = -z**2 + 20*z + 127. Let y be t(d). Solve -4*x - 18 = -y*f, 4*x - 3*f + 12 = -7*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 - 2 = -5*w, 5*w = 3*g + 21. What is the remainder when 10 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -968, -1129, -1290, -1451, -1612?\n\"Answer: -161*u - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 45793210 to the nearest ten thousand.\nAnswer: 45790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24490116 is divided by 386.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/16*-4918 - 2\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -83?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from xxqsxqxxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 98*(-1)\/(-24). Put g, 1\/6, -4 in decreasing order.\nAnswer: 1\/6, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 30*h + 12. Let r be s(-10). Let y(d) = -d**3 + 12*d**2 + d - 12. Let x be y(r). Solve -3*a + 6 - 2 = 4*b, -3*b - 2*a + 2 = x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 46156*m\/7 + 138450\/7.\nAnswer: 2*(m + 3)*(m + 23075)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 170, 337, 502, 665, 826, 985?\n\"Answer: -j**2 + 170*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 20*j + 14. Let n be f(10). Solve -n*b + 6*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -7 (b) 2\/3 (c) 1\/719 (d) -2\/19 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Suppose 2*b = 2*d + b - 25, 0 = -d + 5*b - 1. What is the remainder when d is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/257, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 64 = -l + 24, 0 = -3*l - 4*i + 226. Let c = l + -1. Suppose 6*a - c = 1069. What is the remainder when a is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 2*p - 2. What is w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -569, -633, -729, -863, -1041, -1269, -1553, -1899?\n\"Answer: -p**3 - 10*p**2 - 27*p - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39743154?\nAnswer: 2, 3, 11, 200723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/4334559 and -11\/19?\nAnswer: 82356621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - 44254153?\nAnswer: -44254233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 269571390 greater than or equal to 269571391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and 2473.5?\nAnswer: -568.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*y + 0 = 35*y - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-36)\/(-8) - 2) + 12\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2807*z - 12834 = 2789*z. Is z a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b**3 + 22*b**3 + 36*b**3 - 121*b**3 + 100*b**3 - 1.\nAnswer: 92*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from ppppplplppppplpp?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6130 - -6136. Which is the nearest to 3\/5? (a) l (b) 1 (c) 0.03 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -700 + 695. Let l = -0.01 + -0.21. Let c = 0.22 + l. Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:01 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:48 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**5 + m**4 + m**2 + m. Let y(p) = 21*p**5 - 4*p**4 + 4*p**2 - 4*p. Let f(c) = 4*o(c) + y(c). Find the third derivative of f(j) wrt j.\nAnswer: 1020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -461007 - 0.275?\nAnswer: -461007.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 1734195 = 639303. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.74 + 0.68. Let u = -0.059465 - z. What is u rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z + 158*z = 9176. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5688, -5690, -5692, -5694?\nAnswer: -5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166646028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46160 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55073 - 12680. Let q = 82494 - s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7979926000 rounded to the nearest 1000000?\nAnswer: 7980000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 368, 278, 34, -442, -1228, -2402, -4042?\n\"Answer: -13*u**3 + u**2 - 2*u + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687706699, 1375413398, 2063120095, 2750826790?\nAnswer: 3438533483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/210 + 23*a**4\/28 + 110*a**3\/3 + 2*a**2 + 236*a. Factor d(s).\nAnswer: 2*(s + 14)*(s + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 2*g. Let p be (-21)\/g + (2 - 4). Which is the nearest to 2? (a) 0.5 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6177433 to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*8\/(24\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 12. Let f(a) = -2*a**3 - 48*a**2 - 88*a + 9. What is the lowest common multiple of p and f(-22)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74960.\nAnswer: 2, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 3*u**5 + 3*u**5 + (14*u - 56*u - 33*u)*(4*u**4 - 5*u**4 + 7*u**4).\nAnswer: -451*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 21\/10, -4, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 14060?\nAnswer: -14063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6021533778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134.582 or -8?\nAnswer: -134.582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780329 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -30770100 less than -30770101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0377 - -0.1393. Which is greater: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 1. Let t be w(-3). Let s(v) = 1 + v - 4*v + v**2 + 6*v. What are the prime factors of s(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.6695 nanograms in micrograms?\nAnswer: 0.6996695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 264*p**2. Let k(v) = 29*v + 38 - 52*v - 38 + 24*v. Give k(w(y)).\nAnswer: 264*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4803*v + 4803*v + 3*v**2)*(-v - 6*v + 3*v)*(2 + 2 + 1).\nAnswer: -60*v**3 + 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/(w*w*(w\/w**(12\/5))\/w)*w*w)*w**23\/w*w*w)**(-2\/35) assuming w is positive.\nAnswer: w**(-216\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -3 + (-127 - -117)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/3 (b) -3 (c) -42 (d) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 554 + -583 - (-16 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/66*51)\/(2\/(-4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**4 + 2*s**3 - 2*s**2 + 2*s - 6. Let i(v) = 28*v**4 - 7*v**3 + 7*v**2 - 7*v + 17. Let j(l) = -2*i(l) - 7*k(l). Differentiate j(w) wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183 - 2148851?\nAnswer: -2150144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3900) + sqrt(3900) + sqrt(234)\/sqrt(150))\/((5*sqrt(243))\/(2*sqrt(1296))).\nAnswer: 1608*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1573) + 2 + -2))**2.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4132885918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*h**2 - 269*h - h**3 + 410*h - 91*h**2 + 582*h.\nAnswer: -h**3 - h**2 + 723*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2428, 2530, 2632, 2734, 2836?\n\"Answer: 102*u + 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 414 + -129. Let x = -289 + u. Sort -2\/7, 4, 0, x in descending order.\nAnswer: 4, 0, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -25 + 21 + (-36 - 14).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 2*m + 17. Suppose -34 + 91 = -19*q. Let j(n) = n**2 + n + 9. What is q*x(c) + 5*j(c)?\nAnswer: -c**2 - c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5009815?\nAnswer: 5, 17, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -32*h + 146. Let s(j) = 50*j - 147. What is -4*s(i) - 6*x(i)?\nAnswer: -8*i - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 24 = -3*n, -2*y + 148 = 2*y - n. Let h(f) = -57*f**3 - f**2 - 2*f + 5. Let a be h(0). Solve y = -a*m + 17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 - u - 6. Calculate the least common multiple of x(8) and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25334.77 to the nearest 100.\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*o - 89 = 1271. Solve o*u = -2*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -1\/24*g**3 + 0 + 1\/240*g**5 + 13*g**2 + 0*g + 0*g**4. Find i, given that n(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-3 + 3)\/2. Suppose 188 = 4*v + 4*l, -v - 43 = -m*v + 3*l. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 3*s**5\/80 - 3*s**4\/8 + 9*s**3\/8 - 3*s**2\/2 - 8*s. Let o(u) = 0. What is u?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*t + 2*t - 14*t - t in the form r*t + l and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -133\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + (0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t + 5. Let m(c) = 46*c. Let q(i) = 14*i. Let l(k) = 3*m(k) - 10*q(k). Give l(y(b)).\nAnswer: 20*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44117*l**3*w - 3*l**3 + 2*l**2 + 6*l*w**2 - 201*l - 187 wrt w.\nAnswer: -44117*l**3 + 12*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/7 + 46560*j**4\/7 - 279304*j**3\/7 + 372384*j**2\/7 = 0 for j.\nAnswer: 0, 2, 4, 23274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2. Suppose -3*u + 2 = -m - 8, 2*u = 2*m + 12. Let b(s) = -s**u - 2*s**2 - s**2 + 6*s**2. What is y(b(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*s + 12 = 0, 0 = -2*y - y - 3*s. Suppose 144 = 3*i - y*g, -2*i - g + 53 = -i. Suppose -1 = -3*z + i. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 3*k**2 - 11. Let d(g) = -2*g - 6. Let f be d(-4). Let n(i) = -2 - 3*i**2 + 6*i**f - 8 + i**3. Let j(s) = 6*c(s) - 7*n(s). Factor j(v).\nAnswer: -(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129491.1 meters in centimeters?\nAnswer: 12949110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.822 * -3.\nAnswer: 2.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/2899 + -2887\/11596. What is the fifth smallest value in 2\/11, n, -3, -4, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w + 62. What are the prime factors of z(0)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4800 + 8602. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -5*y, 2*y + 49 = 4*s + 17. Let a = 11 - s. Factor -1 - 2*o + 0*o**2 + 0*o**2 - o**a.\nAnswer: -(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 643 - 203. Suppose t = 16*w - 5*w. Determine o, given that 4*o**3 + 10*o**2 - 22*o + 2*o + 41*o**3 - 27*o**w - 8 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204934 - 198119 = 145*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*13*456\/247.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 5*h + 2. Determine z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -49 - 41. Let d be (2 + 0)\/(3\/k). Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 121*b - 644. Let j be k(-5). Let p(z) = z**3 - 8*z**2 - 37*z + 47. Determine p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -12, -94, -218, -402, -664, -1022, -1494?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b + -223?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k + 4. Let v be z(9). Let m be (-2)\/10 + v\/(-75). Which is the nearest to -2\/7? (a) m (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3245 and 112277?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose -y*d + 2*v = -52, -3*d - v + 108 = 2*v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 10, -3*n - 287 = -5*q. Let p = -35 - n. Suppose p + 157 = 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 1\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 4908*d**2.\nAnswer: 2*d**2*(d + 2454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -7*j - 9*j. Suppose -48 = 5*x + m, x - j*m = 5*x + 30. Is (-2628)\/(-30) + (12\/x)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/2 (b) 0.2 (c) -136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11599, -46589, -105033, -186925, -292259, -421029, -573229?\n\"Answer: l**3 - 11733*l**2 + 202*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 18937?\nAnswer: 7574.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - a - 5, 6 = -a - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/3, -2, -0.2, 3, -65.\nAnswer: -65, -2, -1\/3, -0.2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -16142\/5 = -3227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/36120 and -19\/480.\nAnswer: 144480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m - 80 - 111 = 359 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*q = 603*q - 14539 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 43 = -36 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1294*h + 4896*h + 6215 + 17379 = 110254 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.6427ml in litres?\nAnswer: 0.8216427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -1 - (-85 + -17 + 87)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-14)\/35*25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 63\/(-14))*(-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) -8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 309851, 3 in increasing order.\nAnswer: -5, 3, 5, 309851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.499135 litres?\nAnswer: 3499.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10966 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 + -2. Let c = 1.5061 - i. Round c to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2273.879794 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21876, -21915, -21952, -21987, -22020, -22051, -22080?\n\"Answer: i**2 - 42*i - 21835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*r**3 - 2325*k*r**2 - 17*k*r - k + 447682*r**3 wrt k.\nAnswer: 2*r**3 - 2325*r**2 - 17*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose w - 2 - 10 = 0. Let y be 9\/12 - (-15)\/w. Which is the second biggest value? (a) 0.5 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 10. Suppose y*h - 15 + 133 = 2*b, 4*h + 100 = 3*b. What is the common denominator of 113\/h + (-12)\/(-24) and 26\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -5. Let j(n) = n**3 - 6*n**2 + 8. Let s be j(6). Suppose 3*b + s = -l*k, -3 + 11 = 2*b. Is -2 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-80))\/((-9)\/12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 5*n - 5. Give l(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-3)\/10)\/(30\/(-340)). What is the second biggest value in -0.16, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -218*j**2 + 3*j. Let r(c) = -72*c**2 + c. Calculate 11*r(i) - 4*s(i).\nAnswer: 80*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6987*i**3 + 1924.\nAnswer: -20961*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - (4 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33 - 38)*(-2 - -1). Solve p*g - 29 = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/116 and -103\/1276.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0 + 4. Let o = -7 - -11. Let m(x) = -x**2 + 3*x - 7*x + n*x**2 + o. Give m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640738513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -258, -1 in increasing order.\nAnswer: -258, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4005*h**3 - 4*h + 1. What is the tens digit of q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.2, 5, -11, 5\/2 in descending order.\nAnswer: 10, 5, 5\/2, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)*c\/c**(1\/4))\/(c**7*c*c**(2\/7)))**(-1\/7) assuming c is positive.\nAnswer: c**(2265\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776 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 2276 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: Find the common denominator of -13\/162 and 74\/9.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 - 7*x**4 + (-3*x**3 + 2*x**3 + 3*x**3)*(0 - 11*x + 0).\nAnswer: -29*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 58. Let h be 24\/t - -2*4. Suppose 0 = i - 2*l - 6 - 9, -3*i + 43 = -h*l. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 + 473 = 29*s - 120*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-72198)*(-1968)\/3. Let n = -2\/191 - v. Are n and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3830 - -7710. Suppose 3*d - 2*d = -3*u + f, -3*u = -3*d - 3900. List the prime factors of u.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113801097 a multiple of 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32074793 divided by -4\nAnswer: 32074793\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 21*g**5 - 4551*g**4 - 63252*g**3 - 210144*g**2 - 228864*g - 49680 = 0.\nAnswer: -9, -2, -2\/7, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1367225, -1367258, -1367291?\nAnswer: -1367324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 1162*g + 582*g + 580*g + 39*g**3.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215831027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*d**3 - 2\/15*d**5 + 28\/15*d**2 + 0*d + 8\/5*d**4 + 0.\nAnswer: -2*d**2*(d - 14)*(d + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -496 - -257. Let x = 241 + s. Which is the second smallest value? (a) x (b) -3 (c) -4 (d) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 2*g**2 - 5*g - 2. Let b be u(-3). Suppose -s + 9*s - 8 = 0. Put 2, s, b in increasing order.\nAnswer: s, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-12)*38*(-423)\/6580*4.\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8884*l = 4334*l + 213850 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32653*x + 54025*x + 18553*x - 22610*x.\nAnswer: 82621*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 6703. Let b(o) = 13*o**2. Give b(i(r)).\nAnswer: 52*r**2 + 348556*r + 584092717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(5\/12)*j\/(j**26*j) assuming j is positive.\nAnswer: j**(-307\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(931) + sqrt(931) + sqrt(931)*-5 + sqrt(931))**2.\nAnswer: 112*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 14. Let c be (0 - f - 1)\/2. Let p(n) = -3*n**2 - n**c + 3 - 8 - 1 + 3 + 3*n. Give p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let a be 3\/12 - (-18)\/(-8). What is the second biggest value in 0, s, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -11\/30?\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:12 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 44*b + 46.\nAnswer: -2*(b - 23)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 652782 and 6682?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 17 - 57)*(k - 4*k + 2*k) + 2*k - 3*k - 2 + 3*k.\nAnswer: 45*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*d - 65 = 5*d, 3*a = -2*d + 37. Suppose 0*h = h - 11. Let z = a - h. Solve z*s - 1 = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -8, -6, -4, -2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 134\/3 + (-3)\/1. Let g = -108 + 66. Let s = k + g. What is the third biggest value in s, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 8*z + 2272. Let l be 357\/9*(-6)\/2. Let o = l + z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 77*g - 83*g + 9 = -161*g, 0 = -11*s - g - 119 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 49. Let p = 37 - f. Is (323\/4)\/((36\/p)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 181039?\nAnswer: 181039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5866914mm in kilometers?\nAnswer: 0.0000005866914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 18 - 13224\/945. Let x(b) be the third derivative of -2\/9*b**4 + 0*b + v*b**7 - 1\/15*b**5 + 8\/9*b**3 + 9*b**2 + 1\/45*b**6 + 0. Factor x(l).\nAnswer: 4*(l - 1)**2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-56)\/804))\/(-2)*1400\/1050.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30581052 a multiple of 2789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7 - 23. Suppose -u = -2*f - 2, 0 = 5*u - f - 3*f - q. Suppose -4*i + 2 + 6 = 0. What is the remainder when i is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12382795?\nAnswer: 5, 31, 79889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -28 + 147\/217*31. Let g(o) = o**2 + 6*o - 6. Let k(y) = -y - 1. Let x(r) = -g(r) - 2*k(r). Give x(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35686 - 25441. What are the prime factors of a?\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16185, -32364, -48539, -64710, -80877, -97040, -113199?\nAnswer: -129354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = 5*l - 54*m - 90, 4*m = -4*l + 112 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 + -117.92. Let j = 316 + -312. Put 7, c, j in decreasing order.\nAnswer: 7, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.36 and 9.3.\nAnswer: -77.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*n**2 + n**3 - 2*n**2 + 10 + 2*n**2 with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 30 - 5. Suppose 0 = -v*t, -2*i + i - 4*t = -2. Suppose 192 = 3*u - 0*b - b, -i*u - 5*b = -145. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 6*t + 5. Let z be (-6 + -2)\/(4\/(-2)). Give f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 7*a**2 + 4*a - 5. Suppose 0 = 2*z + 19*z - 1386. What is the remainder when z is divided by n(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - -12 - (-12 - -32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2237.2 - -234\nAnswer: -2003.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000270771 rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66357008 and 12.\nAnswer: 199071024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331 is divided by 660?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 5*p + 14. Let w be z(5). Let y(d) = 6 - d - w + 11. Calculate y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4 + 57 + 66)*(-6 + 5 - 8).\nAnswer: -9*l - 1071","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 34 - 37 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 12648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/56088 and -1\/347598?\nAnswer: 26417448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let c be (-1)\/(-8)*(-1 - w). Let u = 35321 - 35323. Put c, 5, u in descending order.\nAnswer: 5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54752.720627 + -55110.72063147. Let t = y - -358. Round t to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k. Let s(r) be the third derivative of 0*r**4 + 0 + 24*r**2 + 0*r**3 + 3\/20*r**5 + 0*r. Give j(s(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f + 10 = l, -4*f - l = -7. Solve 5 = 4*j - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 4*x**2 - 2*x**2)*(-2*x - x + 4*x + (2 + 2 - 1)*(0 + 2*x + 0) + (3*x - 3*x + 13*x)*(4 + 4 - 6)).\nAnswer: 33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61277*g**2 + 1450890 wrt g.\nAnswer: 122554*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-544)\/(-88) - 1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*100\/15. Suppose 1 = -m + v. Solve -f = -4*f - m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(98) + 3*sqrt(288))**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 26. Let u = y - 5. What is the derivative of u*g + 2*g**2 - 3*g + 0*g**2 + 1 wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -109, -2 in increasing order.\nAnswer: -109, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) + 36\/28. Let j = h - -2. Let z be 1 + 27\/(-21) + 11\/14. What is the closest to 1 in z, -5\/2, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*s, s = -5*r - 3*s + 1. Suppose -4*p + 34 = 3*b, 2*b + p - r = 15. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -869, 2\/11, 0.2, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 0.2, 2\/11, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a**2 + 3*a - 10. Let q be w(-4). Let x(j) = q*j - 361*j + 173*j. Let i(o) be the third derivative of 31*o**4\/24 + o**2. Determine i(x(f)).\nAnswer: -62*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (8 + (5 - 1) + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + -1 - -18) + (-96 - (12 + -11))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 13*j**2 + 5*j + 8. Let o be z(6). Let g be 554\/((o\/2)\/((-4)\/8)). Round g to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/12143340 and 111\/85862.\nAnswer: 85003380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/(6\/4). Let f be ((-84)\/468)\/(1\/12) - (28 + -30). What is the smallest value in f, s, -10\/37?\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/6 + 10*u. Let f = -87 + 132. Let n(k) = 18*k**2 - 45. Let o(h) = -1. Let d(l) = f*o(l) - n(l). Determine i(d(r)).\nAnswer: 648*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 271*b + 3110. Calculate the remainder when y(12) is divided by (-4)\/(-3) - 1\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219.859 - -220. Let r = -0.491 - m. Let s = 0.69 + r. What is s rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let d(k) = -k + 4. Let t be d(5). Let a = y - t. Solve 25 = 5*l + 4*z, 3*z + 0*z - 15 = -a*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*r**6 + 666*r**5 + 2*r**2 + 14*r + 262?\nAnswer: 10680*r**3 + 39960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 1, r: 1}. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -987 - -989. Solve p + 13 = 3*v, -2*p = -v - u + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + t = 5*k + 2, k - t - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f. Let i be 1\/4 - (-15)\/4. Let z(g) be the first derivative of -2\/3*g**3 + 0*g + 2*g**2 - 18. Calculate i*q(k) + z(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -4*o + 626. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10717 is divided by 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -15*f**2 - 33826985*f - 11275660 = 0.\nAnswer: -2255132, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3*2\/6). Solve j = b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 - 2*x + 2. Suppose 4*n = 11 - 3. Is q(n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 88*u**2 - 3*u - 484. What is n(44)?\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 3*m**2 + 4*m - 2. Let i be v(2). What is the greatest common factor of i and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188153744?\nAnswer: 2, 3, 587, 42169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4941, 8, 197 in increasing order.\nAnswer: -4941, 8, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*m - 12 = 0, -6*x + 9*x + 9 = -5*m. Let z be 27\/6 + x + (-6)\/(-4). Let i(t) be the second derivative of -t**3\/2 + 2*t**2 + 2*t. Calculate i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 1 + 1 - -22. Let j = 8 + -9. Let i be 1 - j - 172\/(-2). Calculate the greatest common divisor of i and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.5. Let f = 20 - 10. Let r = f - 15. Which is the closest to -2? (a) r (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -24.08. Let f = v - -4. Let w = f + -27. Which is smaller: 14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.37 + -0.07. What is the third biggest value in d, -1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 182 = 3*x. Let u = -19 - -32. Calculate the remainder when 39 + (-8)\/x - (2 + -3) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 30*h**2 - h + 5*h**3 + 3*h**3 + 533*h**2 - 2 - 7*h**3 to the form y*h**3 + f + w*h + i*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 5*h**2 + h - 4. Let k(q) be the first derivative of -q**4\/4 - 2*q**3 - q**2\/2 - q + 3. Let n be k(-6). Give r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-48)*-10*180\/(-75).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - 5 + 3 + 3. Suppose 3*d - 45 + 0 = 0. Let j = 17 - d. Determine u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5469689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -361 - -776. Let k = r + -407. Suppose 0 = -0*t - 3*t + 192. Calculate the highest common divisor of t and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 18267.299?\nAnswer: 18267.299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 499204\/19 + -26274. Put c, 5, 8.15, 2\/7 in ascending order.\nAnswer: c, 2\/7, 5, 8.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28362 + 10194 = -2*w - 2*s, 0 = -2*s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225 - -66. Let b = 160.26 + p. Let y = -2.23 + b. What is y rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 2, -1, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5748*m + 5*m**2 + 3 + 5745*m - 2*m**4 + 2*m**3 - 1 in the form g*m**3 + l*m**4 + d + v*m + j*m**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3865146 and -390342.\nAnswer: -4255488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*w - 180*w - 17*w**4)*(w - 3*w + 3*w).\nAnswer: -17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 23. Let x(o) = o. Determine -n(y) + x(y).\nAnswer: -y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = -2. Let m(h) = -h - 2*h**2 + h + 3*h**f. Let k(j) = 798*j**2 - 95*j. Let i(n) = 17*n**2 - 2*n. Let s(q) = 95*i(q) - 2*k(q). Give m(s(p)).\nAnswer: 361*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**2 + 3*b + 5. Let t(m) = -21*m**2 + 11*m + 15. Give 7*o(j) - 2*t(j).\nAnswer: -7*j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 - -5. Let n = -3 + -1. Put b, n, -0.1 in increasing order.\nAnswer: n, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1954 + 3283280.\nAnswer: 3281326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2 + (-4 + 6 - 3)*(0 + 4 - 3) + 1 + 1 - 1)*(3*u - 8*u + 0*u) - 2*u - 3*u + 7*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.79 + 19.9. Let j = 0.11 - z. Let v = 6.4 - j. What is the closest to 1 in v, 4, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 13*c**2 - 14*c + 2. Let i be u(-14). Suppose -3*o + i*q = -11, -5*o + 4*q + 12 = -o. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1720774647?\nAnswer: -1720774644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176282 = -3*z - 2*p, 10*p - 235038 = -4*z + 5*p. List the prime factors of z.\nAnswer: 2, 11, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 7*d + 14. Let x be s(-7). List the prime factors of (-2)\/x + 4040\/56.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 - -12) + 1*9. Let o be c*(1 + 1 + -1). Suppose 0 = -o*k + 5*k + 12. Sort -2\/5, 1\/6, k in ascending order.\nAnswer: -2\/5, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6274 divide 8211617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 129*t**2 + 14*t - 27. Calculate g(2).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -123. Suppose -3*r + r - 5*g = 17, 4*g = -2*r - 18. Let x = z + r. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 15*q + 9. Determine w(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 57. Let p be g(-6). Suppose -3*j - w - 72 = 0, -5*j + 3*w = -0*w + 134. Which is bigger: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -14\/313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-280*1\/(-56)*38\/10)?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2 + 9*h - 2. Let a be j(6). What is the third derivative of -b**5 + 6*b**2 + b**5 + a*b**6 - 48*b**6 wrt b?\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(25\/4)\/(z**5\/z**(-1\/2)) assuming z is positive.\nAnswer: z**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 17*a**3 + 245*a + 247*a + a**2 - 492*a as h*a + c*a**3 + n*a**2 + r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -547 - -531. Is ((-54)\/(-12) + s\/4)*476 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-9) + (-6)\/(-18). Let u be 2 + 60\/(-7) + 2\/(-14). Let m = u + 7. Sort t, m, -0.1 in ascending order.\nAnswer: -0.1, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -5, 2, 3692, -4?\nAnswer: 3692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2. Let t(k) be the first derivative of k**6\/120 + k**4\/4 - 28*k**3\/3 + 173. Let h(j) be the third derivative of t(j). Give h(v(c)).\nAnswer: 27*c**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(sqrt(76) - (4*sqrt(76) + 2)) + 2 + 2)**2.\nAnswer: 660*sqrt(19) + 17221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + i + 5)*(2 - 2 - 1) - 32*i - 1207 + 1207.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -235*i. Let a(g) = -837*g**2. Determine v(a(d)).\nAnswer: 196695*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.05 - 5496.05. Let b = m - -5430.000002511. What is b rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/653349 and 91\/138.\nAnswer: 30054054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(18))**2*3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, 5, -3\/5 in descending order.\nAnswer: 5, 2\/7, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -794*h - 6. Let k(y) = -2*y**2 + y. What is k(m(x))?\nAnswer: -1260872*x**2 - 19850*x - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.1 (b) -120 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292391929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -433231.30102 + 433124.3. Let z = 107 + w. What is z rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1474*w - 92 + 1468*w + 1468*w + 22 - 4405*w. What is r(18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -58 - 19. Let a = -40 + 70. Calculate the remainder when a is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3 - 3)*(6*g**2 + 0*g**2 + g**2) + (3*g - 3*g - g)*(2*g**2 + g**2 - 2*g**2).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) + (-14)\/12. Let k be (-368)\/(-26) - 10\/65. Are k and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/9, 0.4, -2, 3, -34?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = b + 3, 3*h + 0*h - 5*b = 15. Solve -2*m = -4, h = i + 2*m - 3 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 754, 737, 722, 709, 698, 689, 682?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 61*d + 32*d - 11*d**2 + 29*d - 49*d**3 as u + c*d**2 + i*d + s*d**3 and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 - 0.59. Let q = w - -0.46. Round q to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669105.44 rounded to the nearest one hundred?\nAnswer: 669100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2090 = 368*t + 250. Solve 2*l - 3*l = t, -11 = 4*m - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 24 = 4*z, 5*z = 2*r - 10 - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50659?\nAnswer: 7, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 + -3. Let m = 15.011 - 14.611. Let n = -2 + 7. Which is the closest to x? (a) 7 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - s = -103 + 104, -4*s = -2*u + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in -2\/5, 0.2, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51836, 207339, 466512, 829355?\n\"Answer: 51835*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/18)\/((-2)\/3). Let n = t - 5\/36. Which is the third smallest value? (a) n (b) -4\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/((-6)\/2)*-43. Let d = q - -21. Let c = d - 63. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*s - 9*s - f, 3*s - 4*f - 10 = 0. Let t be ((-18)\/(-1))\/s - 1. Suppose -65 = -y + 23. Calculate the highest common divisor of y and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1757)\/(-618) - (-1 - (4 + -7)). Let t = -1\/103 + o. What is the second biggest value in t, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137770977 a multiple of 1495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/17 - 25618*j\/17 - 7650984\/17.\nAnswer: 2*(j - 13101)*(j + 292)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0 - -2) + 23 + -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919455 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.194 + 3.494. Which is the second smallest value? (a) 0 (b) -7 (c) -2\/3 (d) 42 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = g + 1, -21 = -l - 4*g. Let m be 33 + 2 + 4*(-1)\/l. Find the third derivative of -m*h**6 + 19*h**6 + 3*h**2 - 2*h**4 + 2*h**4 wrt h.\nAnswer: -1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8110\/(-6488)*((-4)\/(-9))\/(-1)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.1, -1\/2, -17\/3, 1, -65\/14, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/5 - 948*o\/5 + 1908\/5 = 0. Calculate o.\nAnswer: -318, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 16) to base 2\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 3, 0, 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4*m - 5*m)*(m - m - m) + (3*m - 3*m - m)*(97*m - 47*m + 411*m).\nAnswer: -462*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2025 - 3430. Let c = d - -2161. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -10. Let m = -17.3 + c. What is m rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3393, -3344, -3191, -2880, -2357, -1568, -459?\n\"Answer: 9*n**3 - 2*n**2 - 8*n - 3392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*m = 570 + 645 + 4041 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/17 + 2\/17*u**2 + 48\/17*u.\nAnswer: 2*(u + 2)*(u + 22)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 - -243. Let i = u - 60. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*n**5\/5 + 1023*n**4\/5 - 2604*n**3\/5 + 2832*n**2\/5 - 1056*n\/5 - 48\/5 = 0.\nAnswer: -2\/49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:32 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 818.1009 hours in minutes?\nAnswer: 49086.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/12*(3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646025?\nAnswer: 5, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let d(q) be the third derivative of -q**4\/12 + 2*q**2. Determine h(d(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17049 + -1581. Suppose 0*d = 12*d - j. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 0.03, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 26733*k**5 - 77423*k**4 - 35065*k**3 + 77435*k**2 + 8332*k - 12 = 0. Calculate k.\nAnswer: -1, -2\/19, 2\/1407, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 4*g + 5. Let c be o(3). Let x = -0.752 - 3.248. What is the nearest to c in -2\/5, -2\/15, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -24*y**3 + 5*y**2 + 7*y + 5. Let b be u(-2). What is the greatest common factor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002526479 rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/6*(-11)\/55.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(280) + sqrt(280))*-4 - (4*sqrt(280)*-3 - sqrt(280)))\/(2*sqrt(250) + sqrt(10) - 3*sqrt(1000)).\nAnswer: 6*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55335 is divided by 18433?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:18 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 6 - 10. Let g = -7 - c. Let f(y) = -y**2 - 4*y - 2. What is f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*t + 35*t + 736*t in the form k + m*t and give m.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 1120.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 1. Let o(w) = w**3 + 2*w - 3. Let n be (-3 - (-2)\/2) + 3. Let y be (-930)\/(-12) - n\/(-2). Let p = y - 82. Give p*k(b) - 2*o(b).\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2915 - -2960. Suppose -45 = 6*q - 7*q. Is y < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36207 + -0.13793. Which is the closest to 86? (a) -2 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let c(a) be the third derivative of -a**5\/30 + a**4\/12 - a**3\/6 - 9*a**2. Calculate c(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374340377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x + 4 + x**2 + 6 + 4. Let n be f(7). Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15953, -31909, -47865, -63821?\n\"Answer: -15956*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -577499620*u**3 - 49*u**2 - u + 724607?\nAnswer: -3464997720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 20, 23, 28, 35?\n\"Answer: t**2 - 2*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5379, -21548, -48495, -86220, -134723, -194004, -264063?\n\"Answer: -5389*r**2 - 2*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + 1*sqrt(190)*1 + sqrt(190))\/sqrt(10) + -1 + (5 + sqrt(76)*1)*-6.\nAnswer: -9*sqrt(19) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 5*z - 5*z + 8*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*20\/(90\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*sqrt(280))\/sqrt(8))\/(-1*sqrt(180)) + 3.\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*s + 144, -4*s + 4535 = -3*z + 4429 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 + -1566172665?\nAnswer: -1566172665.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011968034 to seven decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*d + 3, -p = 4*d - 6 - 3. Let i = -10.2 - -11. Let y = 4.8 - i. What is the second smallest value in y, -0.4, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137606464 <= 137606467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 - 2*l + 4. Let h(n) = -2*n**3 + 2*n**2 - 3*n + 7. Suppose -x - 12 = 2*y, y + 3*x - 13 = 2*y. Determine y*b(u) + 4*h(u).\nAnswer: -u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 58*w + w**4 + 6 + 2 - w**2 - 57*w to f + h*w + o*w**3 + a*w**2 + q*w**4 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 33*z + 71. Let i be w(8). Which is the third smallest value? (a) -11 (b) i (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/37939048 and 58\/24073?\nAnswer: 37939048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7012503.71 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 10:30 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 2, w: 8, b: 2}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b35c + -2b37?\nAnswer: 8725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1768)\/1456 + 3\/2. Determine d so that -8\/7*d - a*d**2 - 6\/7 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.456 to 1 dp.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3. Let a = 43 + -30. Let z = a - 10. Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2417 + -736. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, 187 in decreasing order.\nAnswer: 187, 32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 54*i - 17. Calculate u(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:36 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -49. Sort g, 0, 4.\nAnswer: 0, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18687*f + 2 - 261*f**2 + 18687*f - 1 - 698*f**3 - 1909*f**2 wrt f?\nAnswer: -4188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -112, -12 in ascending order.\nAnswer: -112, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-3))\/(2*(-2)\/12). Put -5, n, 3, 0 in decreasing order.\nAnswer: n, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + n + n + (-5 + 0 + 3)*(99*n + 971*n + 1073*n - 252*n) to the form j*n + z and give j.\nAnswer: -3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -0.13?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clvf when four letters picked without replacement from clfcvvv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from {a: 3, z: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*y - 5 = 17, 2*x + 4*y - 12 = 0. What is the units digit of x\/4 + 4\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2755479 is divided by 918490.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20175, 63612, 107051, 150492?\nAnswer: 193935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(1\/6)\/g)*g)\/g)\/(g\/g**(-2))*(g**3*g)\/(g\/(g\/g**(-5))*g) assuming g is positive.\nAnswer: g**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -30*g**5\/11 + 15*g**4 - 82*g**3\/11 + 12*g**2\/11 + 40. Solve n(t) = 0.\nAnswer: 0, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2. Let t(z) be the second derivative of -59*z**4\/12 + 21*z + 1. Give t(f(b)).\nAnswer: -944*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(320) - 4*2*sqrt(320) - sqrt(320)) + sqrt(320))\/(sqrt(50)\/sqrt(20)*4))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2171 + 1394 - 113*o - 1812*o wrt o.\nAnswer: -1925","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148398932 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191325814.\nAnswer: 2, 31, 613, 83969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8743.264 litres in millilitres?\nAnswer: 8743264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (146950\/99926)\/((-2)\/34)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -k - y, -148 = -4*k + y - 20. Let t = k + -13. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*f - 8. Let q(g) = -g**2 + 10*g + 13. Let c be q(f). Solve 4 = 3*u - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43847234 - -4?\nAnswer: -43847230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 i when three letters picked without replacement from zixfxex.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {n: 3, p: 3, u: 2, w: 1, c: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:41 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -89. Let y be 9\/a + (-3760)\/(-25) + -4. Suppose -t = 5*i - 82 - y, 486 = 2*t - 4*i. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:19 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*k + 3095 + 4890, 4*k + 5*j - 6385 = 0. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 22*h - 44 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -4. Let i = 13 + -18. Which is the third biggest value? (a) -4 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7167006 and 264.\nAnswer: 28668024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132\/7 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -6.764\nAnswer: -0.13528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (1*sqrt(2057) - sqrt(2057))*1)**2 + sqrt(2057) - sqrt(2057)) + -2 + -3.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.938 in -0.03, -4\/5, -0.3, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 - -222. Suppose -9*m + 4*y + f = -5*m, 4*m + 4*y - 376 = 0. Let p = -48 - -80. What is the remainder when m is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -5. Is 6 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 257*y + 2. What is d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 6, -2, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0) + 18 + -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2802, 2801, 2800, 2799, 2798, 2797?\n\"Answer: -m + 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 49.04. Let q = 10.96 + -11. Let p = q + z. What is the nearest to p in 1, -0.3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + g - 158, w - 97 = 3*g - 8*g. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 79 (c) 231.5 (d) -8 (e) -0.2 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 260925068071+4\nAnswer: 260925068075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1, -1030 = -0*h - 5*h + 5*m. Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 104, 95, 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*l**3 - 5*k*l**3 - 28*k + 230*l**3 - 2*l with respect to k.\nAnswer: 2*k*l**3 - 5*l**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-783)\/(-29) - 39)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*d = -519, -3*d + 0*d - 183 = -i. What is the lowest common multiple of i and 77?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2575 and -20605\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24424 is divided by 610?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -23*r + 21*r. Let l be -84*(2 - r\/6). Suppose l = 4*d - 0*h + 3*h, -3*d = 3*h - 39. Calculate the remainder when 82 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/65 and 209\/13650.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5 + 39*b**2 + 25*b - 11*b**5 - 39*b**2. Let c(k) = 11*k**5 - 26*k + 6. Let f(v) = -5*c(v) - 6*u(v). What is the second derivative of f(n) wrt n?\nAnswer: 220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2811*y**3 + 6439*y + 469 - 3529*y**3 - 6431*y wrt y.\nAnswer: -38040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 + 2*l**2 - l**2 + 3*l**2. Let f(y) = 27*y**2. Calculate c(f(b)).\nAnswer: -1458*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**3\/6 + 8*y. Let x(q) = -3*q. What is x(u(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-375))\/((-2)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/3*(-99)\/22. Let z be 5\/t*9 + 1. Suppose 3*g = -5*p + 35, g + 45 = z*p - 0*p. What is the least common multiple of p and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.9 - 23. Let g = -0.08 + 3.08. What is the closest to 1\/4 in 0.1, q, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*i**2 - 3*i**2 + 0*i**2.\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 831, 5, 0.02, 2\/5, -0.1 in increasing order.\nAnswer: -0.4, -0.1, 0.02, 2\/5, 5, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157704721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 * -0.5\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 12. Let g be i(11). Let b be (1\/(g\/162))\/(-1). Suppose -5*o - 3*t + 424 = 0, 0 = -2*o - 5*t - 0*t + b. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)*l**(-2\/17))\/(l**(-4)*l**(-7\/3)) assuming l is positive.\nAnswer: l**(-193\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*t = -9, t - 19 = -a + 4*t. What is the remainder when 13 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 70*r + 414 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0.4, -3 in descending order.\nAnswer: 0.4, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (31 - 2) + (-2 - -3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0 - 8. Let z be (-3)\/b*(-1)\/3. Let n = 2\/631 + -649\/5679. Put z, n, 0.2 in decreasing order.\nAnswer: 0.2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772.83 bigger than -11.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(363) + (-3 + sqrt(192))**2.\nAnswer: -37*sqrt(3) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 19.39. Let n = m - 0.31. Let b be (-2)\/(-6) + (-11)\/15. Sort 0.5, n, b in descending order.\nAnswer: 0.5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 4*w + 7, -3*c + 3*w = -6. Let v be (c + -4)*-14 + -2. Calculate the common denominator of v\/(-56) + (-138)\/(-56) and 49\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16113 + -2?\nAnswer: 16111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -7*k**6\/360 - 19*k**5\/180 - k**4\/9 + 2*k**3\/9 - 9*k**2\/2 + 2*k + 22. Let l(m) be the second derivative of p(m). Factor l(g).\nAnswer: -(g + 1)*(g + 2)*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-131)\/14)\/(6\/84).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -580*m + 545*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**6)\/c*c**(1\/4))**36 assuming c is positive.\nAnswer: c**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887*t + 457737 = 889*t + 5*x, t - 228866 = -3*x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -69, -2, 42, -5, -4 in increasing order.\nAnswer: -69, -5, -4, -2, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 208.8 in -1, -0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-6) + 3\/9. Let t(i) = 2*i + 1. Let x(b) = -b - 1. Suppose 3*m = -w - 4*w + 18, -w + 3*m = 0. What is w*t(v) + z*x(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17018 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*11909*-3. Let c = 8583 + -13792. Let y = r + c. What is y rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88768487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 377, 367, 349, 323?\n\"Answer: -4*m**2 + 2*m + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4701395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-225 + 225 + 119*o)*(12 - 18 + 62*o + 8) as t + u*o**2 + s*o and give u.\nAnswer: 7378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1667817 and 1115.\nAnswer: 8339085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760357 and 36179.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -352041117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 5, -2, -4994 in decreasing order.\nAnswer: 6, 5, 4, -2, -4994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4923 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.252869543 to three decimal places.\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in -2\/5, 7, -0.1, 4\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8932075us?\nAnswer: 893.2075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*q*w - 3*b**2*q + 80*b**2*w - b*q - b*w + 49*q*w - 4*w wrt b.\nAnswer: -2*q*w - 6*q + 160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9531 or -0.1?\nAnswer: 9531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 <= -6652540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4*2)\/(-1). Let d be 0 + -1 - (-4)\/a. Let x(j) = -j**3 - 4*j**2 + 4*j - 1. Let k be x(d). Solve 0 = -3*q - 4*t - 15, -q + k*q - 4*t = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 515.4 - 458. Let i = 42 - c. Round i to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.666927 rounded to 1 dp?\nAnswer: 624.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 41. Suppose -4*y + 8 + 48 = 5*l, 0 = -s*y - 4*l + 42. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5\/3 - 4*t**4\/3 + 8*t**3 + 16*t**2\/3 - 32*t\/3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1. Let o(y) = -5*y - 1. Let n(x) = -22*x - 4. Let f(j) = 6*n(j) - 26*o(j). Determine -6*a(r) - f(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/6)))\/f**(-1\/16)*f**(-2\/29)\/(f*f**17*f) assuming f is positive.\nAnswer: f**(-26689\/1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 972\/20 - 3\/5. What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**3 + 24*g**2 - 3*g - 3. Let k(r) = r**4 - 5*r**3 - 22*r**2 + 2*r + 2. Let o(t) = -3*k(t) - 2*m(t). Factor o(d).\nAnswer: -3*d**2*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:58 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iziiixeiziuiihiiuz. What is prob of picking 1 z and 1 u?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 210, 883, 2522, 5643, 10762, 18395, 29058, 43267?\n\"Answer: 86*r**3 - 33*r**2 + 170*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140669 and 35860.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umbihrru. What is prob of sequence bhr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151848, 151811, 151772, 151731, 151688, 151643?\nAnswer: 151596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 58*c + 3978. Calculate p(-66).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2429, 2433, 2439, 2447, 2457, 2469?\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*i + 44 - i**2 - 62*i - 59 in the form j*i**2 + c*i + h and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*x = -18, 4*y - 2*x - x - 9 = 0. Let k = 6 - y. Is k - (4 - 3) - -23 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7782 * 0.5\nAnswer: 3891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 32*i + 4653 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339624 and 164512?\nAnswer: 131774112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6173\/6 + 1012. Calculate the common denominator of d and 2\/7 - 17\/84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -674000 to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 126874407 and 126874409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuujjuuutjjuuuuju. What is prob of sequence ut?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1077895 equal to -1077895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-13)\/(-1))\/39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 38*z - 440. Calculate the least common multiple of b(65) and 580.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1723680 by -864.\nAnswer: -1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 47*s**3 + 21*s**3 + 33*s + 19*s**3 - 16*s**3 wrt s.\nAnswer: 426*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1354196604 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40879?\nAnswer: 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 65*s**3\/6 - 6*s - 24. Give p(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/699277, -0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kkkykkkkykkkkkkkkk?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.6 and -0.2?\nAnswer: 51.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2419308*y**3 - 11751145*y**3 + 1499715*y**3.\nAnswer: -12670738*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + z = -6, -3*p - 2*z + 3 = -0. Let d = 187\/8 + -23. Which is the closest to 2? (a) -4 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/3023880 and 139\/1320.\nAnswer: 33262680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 8. What is the greatest common divisor of 50 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - h**3 + 0*h**3)*((-7 + 0 + 2)*(3*h - 3 + 3) - 5*h - 3*h + 4*h + 24*h - h - 2*h).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -18. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 4. Let i(p) = -88 + 2*p + p**2 + 66 + 19. Give -6*i(x) + 5*z(x).\nAnswer: -6*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 32*z - 94*z + 13446 = 29*z for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 7127122*j + 14254248.\nAnswer: -(j - 2)*(j + 7127124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44721 - 29925. Suppose 0 = r + 35*r - w. List the prime factors of r.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540 divided by -767\nAnswer: 540\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44483783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, n: 1, k: 6}. What is prob of picking 4 p?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 0.4 (c) 2 (d) -12\/1009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 + -3813972?\nAnswer: -3813915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 + 2*q**2 + 5*q - 4. Is f(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-5.2\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {c: 1, a: 1, k: 1, r: 1, q: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 - 4*v + 2. Let k be f(2). Suppose 0*b - 3*b = 3*z - 6, -2*b - k = -4*z. Solve -l + j - 16 = -4*l, -z*l + 4*j = -21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.4283164 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -5*y - 4*w, 4*y + 131*w - 258 = 128*w. Sort 5, -0.2, y in descending order.\nAnswer: y, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 176. Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/((-6)\/72*9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v**2 + 3*v**2 - v**2. Let p(t) be the first derivative of -34 - 5\/2*t**2 + 0*t. Give p(w(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + 2\/8. Suppose -4*m = h, 2*m + 0*m + 282 = 3*v. Is 6\/(-15) + v\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135515, -126033, -110229, -88103, -59655, -24885?\n\"Answer: 3161*z**2 - z - 138675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 3:54 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/66 and 23\/2482158?\nAnswer: 27303738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:55 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 22, 15, -10, -59, -138?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*j = 209*j - 44961. Does 58 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 150, 202, 306, 480, 742, 1110, 1602?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000366624 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (13 + (1 - (-11 - -21))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -59*v**2 + 29*v - 18. Let q(y) = 217*y**2 - 113*y + 72. Let h(n) = -11*k(n) - 3*q(n). Factor h(i).\nAnswer: -2*(i - 9)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 288\/13*h**2 + 2\/13 + 48\/13*h = 0. What is h?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + (sqrt(1100) - (5 + sqrt(1100) + -2 - sqrt(1100))) + -4)*6)**2 + -3.\nAnswer: -2160*sqrt(11) + 39921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 8 (c) 1\/2 (d) 0.0321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12327784289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2242 + 7534. What is the greatest common divisor of 108 and q?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 94 = 0. What is the greatest common divisor of 141 and p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 56 = -18*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-9)\/(-3) + 0. Let a(d) be the second derivative of 0 - 3\/4*d**4 + 1\/2*d**2 - 1\/6*d**3 + 7*d. Determine a(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1546864605*n**2\/2 + 2462460*n - 1960.\nAnswer: -5*(17589*n - 28)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-29)*(-4)\/(-10)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:38 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g**2 - g)*(5*g - g - 2*g) + (-g - g**2 + g)*(6 - 6 - 6*g) - g**3 + 3*g**3 + 0*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7564 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(12) + 2*sqrt(3)*-2)**2 + -1.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.21995747 * -2\nAnswer: -0.43991494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18693 and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1447 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o + 3. Let x be (-6*4\/16)\/(18\/(-24)). Let m(d) = 18*d - 10. Give x*m(n) + 7*y(n).\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190917?\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*(-5)\/300*-6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103876 - 2608*x**2 + 2*x**3 - 3*x**3 - 103874 to the form v + w*x + r*x**2 + z*x**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2114 - -2113.3. What is the nearest to 4 in -6\/7, q, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 7. Let q be d(-5). Suppose 2*a + 6907 = q*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-6)*(-2)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 120. Let b be (u\/12)\/(3\/(-6)). Let p = -1.2 - -1. What is the nearest to 0 in 1, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4587 + -4583. Which is the third biggest value? (a) l (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 1 = 49. Let l(b) = -5*b + 34. Let n be l(m). Solve 1 = -4*q + 2*d + 5, 0 = 3*q - n*d - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1865 and 23\/2611?\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -879 + 591.4. Let b = 321 + i. What is b rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20201 = -2*w - 3*p + 50821, -76529 = -5*w + 3*p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/13)\/((-3)\/(-45) - (-323)\/3705). Solve 95 - 97 = l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 7*t + 2*t + 4*t)*(-2 + 2 + 2*t).\nAnswer: -2*t**2 - 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/8 + 4269*j**2\/8 - 1355805*j\/8 - 118855917\/8.\nAnswer: -3*(j - 747)**2*(j + 71)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 0, -3*i - 2*h = -0*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**5 - p**3 + p - 1. Let o(r) = 7*r**5 - 5*r**3 + 12*r**2 - 18*r - 5. Let n(y) = 5*b(y) - o(y). Find the second derivative of n(c) wrt c.\nAnswer: 60*c**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - j + 1952 = 0, -n - 14*j + 488 = -9*j. What is the highest common divisor of n and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a**2 - 7*a**2 - 12*a**2)*(-3*a + 0*a + 4*a + 2*a + 0*a - 8*a + (1 + 0 + 0)*(5*a + 0*a - 9*a)) to r*a**3 + z*a + c + x*a**2 and give r.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + (-191)\/(-9). Suppose 0*z + 3*z = o. What is the highest common divisor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-147)\/98\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 7 = 2*q. What is the highest common factor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 13*m + 4. Let g be t(-11). Let i(y) = -y**3 - 18*y**2 - 26*y - 25. Is i(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = -4*o + 1527, -2*b - o + 1018 = 0. Suppose -5092 = -3*a + b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose 5*c - 9*c + 20 = 0. Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/14)*o**(6\/23))\/(o**(-22))**(-2\/51))**(2\/3) assuming o is positive.\nAnswer: o**(3019\/24633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - i = 2*i - 4, q + 4*i = 10. Suppose q*y = -y + 15. What is the second derivative of -y + 5*n + 0*n**5 + 5 - 3*n**5 wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - k + 3*n - 4, -k + 5*n = 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 37*d + 2. Let q(c) = -115*c - 6. Give -7*a(o) - 2*q(o).\nAnswer: -29*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 103 = 2*d, 2*j = 3*d - 2*d - 69. Let a = d - 54. Suppose a*p = -0*p + 265. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1\/8 (c) 1 (d) 3 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 141, 254, 439, 720, 1121, 1666?\nAnswer: 2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 - 18*n. Let m be g(-7). Let x(b) = -b**3 - 22*b**2 - 20*b + 23. Let r be x(m). Find k such that 2\/5 + 3\/5*k + 1\/5*k**r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**4*x)\/(x\/((x**0\/x)\/x)))\/((x\/x**(3\/4)*x)\/(x**7*x)))**11 assuming x is positive.\nAnswer: x**(385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 142*s**2 - 103*s**2 + 282*s**2 + s.\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1105990 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -641*x**2 + 161*x + 5068. Let g(q) = -214*q**2 + 46*q + 1689. Let t(j) = 7*g(j) - 2*y(j). Differentiate t(c) with respect to c.\nAnswer: -432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/2, -9, -4, -17\/23912 in descending order.\nAnswer: 1\/2, -17\/23912, -1\/2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 17*z + 65 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 48*j + 321. Determine g(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 112, 250, 472, 778, 1168?\n\"Answer: 42*u**2 + 12*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (130 - 129)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 3*n - 79 + 246 - 101.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {q: 6, s: 7, a: 6}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 2*z - 3*z + (1 - 4 + 0)*(-1 + 1 + 2*z) + 11*z - z + 21*z - 4 + 4 + 3*z + (-2*z + 3*z + z)*(-1 - 1 + 1) as y*z + l and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56228449 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 5*l + l as y + m*l and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 10. Let i be t(8). Suppose -i*l = -3*l. Let v be (-1 + -4)*(-6)\/(5 + -2). Solve q - 15 = 3*u, 2*q = 2*u - l*u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + a = 113, a + 5 - 1 = 0. Let s = t + -80. What is the remainder when s + 1 - (-7 - -5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from dwwwdluwdodd?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 595097*i + 10 + 4 + 156*i**2 + 595099*i as t + u*i + d*i**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13129, 13128, 13127, 13126, 13125, 13124?\n\"Answer: -a + 13130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4351.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -978 + 7821\/8. What is the nearest to 2\/9 in 2\/7, -4, 3\/4, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 33 = -35. Put 2, 3, u in decreasing order.\nAnswer: u, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -2\/5 (b) 2\/57 (c) -2 (d) 1 (e) 416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39697\/2581826 - 32\/2587. Let i = u + -26453\/1996. Find the common denominator of -27\/22 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - a - 1. Let j(r) = -21*r**2 - 6*r - 5. What is -2*j(q) + 11*k(q)?\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (108\/5)\/(345\/54050) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 31 - 103 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4279289 + 744\nAnswer: 4280033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 5*u**2 - 2*u + 5. Let r(c) = -6*c - 17. Let l be r(-4). Let z = l + 5. Is p(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22 + 16 + 4*a**2 + 57*a**4 + 5 + 115*a + 24*a + 9*a**2 wrt a.\nAnswer: 684*a**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 28*q**2 - 72 + 231*q**2 - 61*q**2.\nAnswer: 198*q**2 - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*g + 4*m - 12, -3 = g + m. Let w be (2 - (-24)\/(-9))*-3. Put g, w, -1 in descending order.\nAnswer: w, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91981820 by -7988.\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76957125 a multiple of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 4*o**8\/7 + 5*o**4\/2 - 30*o + 20. Let r(s) be the first derivative of p(s). Find the third derivative of r(z) wrt z.\nAnswer: 3840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4 - 3. Let x = 14 + -17. Is (x\/(-6) - d)*134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236951, -473917, -710885, -947861, -1184851, -1421861, -1658897, -1895965?\nAnswer: -2133071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1260753767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + f - 1. Let v(l) = -32*l**2 - 4*l + 5. What is -v(n) - 5*x(n)?\nAnswer: 42*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4, -0.04, -0.4, -96, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 445377 (base 8) to base 15\nAnswer: 2e7d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-16 - -5) - 15) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a factor of 212656497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-9 - (5 + -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 51 + 194 = 17*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + 4*g**3)*(-2*g**2 + 0*g**2 + 0*g**2) + 0*g**5 + 3*g**5 - 4*g**5 + g**5 + 64 + 6*g**4 - g - 64.\nAnswer: -4*g**5 + 6*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from ngnddgnnnnqvgnggnnnq?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 913484 by -143.\nAnswer: -6388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(8\/(-2))\/((-69012)\/639).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 + 36*f + 25. Let k be z(-5). Let l(g) = 3*g**3 - 5*g**2. Let v(i) = -8*i**3 + 16*i**2. Give k*v(b) - 16*l(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkr when three letters picked without replacement from kdrkkwddrddrkddrddd.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + p - 3. Let o be i(-5). Let g = 2 - -5. Let r = o - g. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201020 (base 3) in base 13?\nAnswer: -30c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11465842\/3 or -3821947?\nAnswer: -3821947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.152828, -47, 1?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5565780 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + 92\/(-20). Suppose 0 = 3*s + 4*k + 17, 3*s - 5*k = -0*s + 1. Let g = -4 - s. Sort v, g, -2 in descending order.\nAnswer: g, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 28. Let u = i - 85. Let m = 165\/4 + u. Which is the third biggest value? (a) m (b) -4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 821915695284 and -0.5.\nAnswer: 821915695283.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**2. Let g(p) be the third derivative of -119*p**5\/60 - p**2 - 560. Calculate l(g(b)).\nAnswer: 113288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17362, -17367, -17372, -17377, -17382, -17387?\nAnswer: -17392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/29)*w*w**7*(w**(-5)\/w)\/w*((w\/w**(-4\/3))\/w)\/w)**2 assuming w is positive.\nAnswer: w**(394\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(16\/48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-8 + 16 + 13).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 759 - 2902 = 0. What are the prime factors of l?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32348275 is divided by 1283.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2055 - 3423?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101697075*o**5 + 368907*o**2 + 2*o - 22 wrt o.\nAnswer: 6101824500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1114805 and 668883?\nAnswer: 3344415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**3 - 2*x + 0*x**7 + 0*x**5 + 0*x**2 - 15\/8*x**8 - 4*x**4 + 0*x**6 + 20. Find the third derivative of z(v) wrt v.\nAnswer: -12600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f - 23*f + 1435. Solve 40*s - 15 = f*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c46 (base 14) to base 16.\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.139 + -0.939. Which is the closest to v? (a) 4 (b) -0.4 (c) -2\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*x - 392*x - 114 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(-2*q**2 - 123*q + 123*q)*(-q**2 + 2 - 2) in the form w*q**3 + f*q**2 + g*q + h + c*q**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -77*154\/(-847)*(-7 - (2 - 5))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37590 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a + 2*m + 8, -2*a = m - 6. Let g = 2 - a. List the prime factors of ((-1)\/g)\/((-1)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6297128 and 126550.\nAnswer: 5062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3)*(c + 2 - 2)*(3*c - 2*c - 2*c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-4)\/3*-1. Let m = -1 - -4. Let p = -15 - -10. Which is the smallest value? (a) p (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 534*y - 69976. Give q(-231).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/6*-2*-3. Suppose -l*a = -52 + 7. What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 5*x = -2, 20 = -5*x. Let a = -5076 - -5142. What is the highest common factor of a and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 28*f**2 + 6*f - 16. Let a(r) = -34*r**2 - 7*r + 18. Let d(b) = -5*a(b) - 6*j(b). Let v(g) = -3*g**2 + 2*g - 7. Give -4*d(i) - 3*v(i).\nAnswer: i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47505277 at most 47505274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 27. What is the common denominator of 705\/108 - (-2)\/b and 70\/36 - (-1)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -94. Let o be 15\/s*(-2 + 5\/1). Solve 6*w = w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*g - 999980 = 0, -29586 - 220404 = -l + 2*g. Suppose -5*c - l = 2*x + 3*x, -4*c - 200000 = 2*x. What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355386 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*b = 6 - 26, -2*u - 4*b - 10 = 0. Let j(n) = -178*n - 2. Let v be j(-1). Let z be (-1)\/(-5) - v\/55. Sort z, u, 4, 0 in descending order.\nAnswer: 4, 0, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -31, -81, -139, -205, -279?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16.9 - -109973\nAnswer: 109989.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.734 + 0.026. Let l = -0.7 + v. Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1037 + 3290. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9884 in -2\/267, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4 - 4*m**2 + 2*m + 2 + 4. Let x = -8 - -6. Let s be ((9\/12)\/1)\/(((-310)\/40)\/31). Let k(l) = 5*l**2 - 3*l - 2. Calculate s*d(g) + x*k(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 8?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 453811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*w**4 + 905*w**2 - w**3 + 107*w**4 + 165*w**2 + 53*w**2 - w in the form b*w**4 + y*w**3 + g + i*w**2 + v*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -119*p + 122*p + 4*z + 29 = 0, -5*p - 2*z = 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**2 - 4. Let i(y) = -y**2 + 15*y. What is i(c(q))?\nAnswer: -121*q**4 - 253*q**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10*g + 3030 = 0. Let t = g - -26667\/44. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -50*d**3\/3 - d**2\/2 + 17*d + 38. Find the second derivative of z(t) wrt t.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504337 - 17.\nAnswer: -504354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.3 + -19.3. Let b = l - 48. What is the closest to b in -1\/3, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4275 = -t - y, -2*y + 11249 + 10114 = 5*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508830 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4382 from 76935479803.\nAnswer: 76935475421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 65095*f**2 + 7*f + 9. Let a be i(-15). Suppose -a = -10*r + 7*r. Let h = r - -667907. What is h rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 37 = -0*d. Let p = -15 + 24. Let h = p - 5. Solve -5 = h*w + 5*u, -5*u + 12 = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1169, -1167, -1163, -1157, -1149?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(1 + sqrt(2299)) + (sqrt(2299) + 1)**2*2)*5.\nAnswer: 550*sqrt(19) + 23025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18872799581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7160\/(-2))\/(5 - 2 - 4). Suppose h - 2*h = c. Round h to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.06586 millimeters in kilometers?\nAnswer: 0.00000806586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -801 - -831 - (5 + 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -973891060 and -973891060 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -411 - -411. Solve -6*o - 16 + 16 = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5003 - -1?\nAnswer: -5002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5472 + 0.0472. Suppose x = -x. Which is the nearest to 2\/7? (a) -0.07 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/18 and 127\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 315*p**2 + 2376*p - 4656.\nAnswer: 3*(p - 97)*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 + 33*f**2 + 17*f - 17. What is q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*f - 8603 = 726 - 1325 + 7172 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 94, 100, 78, 28, -50?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(45\/6)\/5. Find the third derivative of 0*a**4 - v*a**4 + 4*a**4 + 3*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/20*15\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {j: 1, o: 2, r: 1, g: 4, s: 4, n: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2303, 2050, 1619, 1016, 247, -682, -1765, -2996?\nAnswer: -4369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 47*j**5\/60 - j**3\/6 + j**2. Let p(s) be the third derivative of -s**4\/24 + 680*s**2 - 60*s. Calculate p(d(a)).\nAnswer: -47*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from mpmfmmmmppwpwumwmwfo.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t - 24. Let r be c(-4). Suppose -4*x - 3*i + 65 + 45 = 0, r*x = i + 118. What is the remainder when 55 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1402*f**3 + f**2 + f + 1. Let w be h(-1). Let v = w - -3502. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -15, -19, -21, -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -3\/2*b**6 + 17\/6*b**3 + 0*b**4 + 0*b**2 + 0 + 0*b**5 + 43*b. What is the second derivative of f(c) wrt c?\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l = -27. Let b be (-6)\/l + 2053\/3. Suppose -2*p - 465 = -5*k, b = -3*p - 0*p - 5*k. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-1215)\/(-675)*(-2)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 9:13 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**12)**(-1\/2))**(-2\/23) assuming d is positive.\nAnswer: d**(-11\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39587267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148084447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4506 times -0.2\nAnswer: -0.09012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2158593376.\nAnswer: 2, 191, 353173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611822.\nAnswer: 2, 179, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbbp when four letters picked without replacement from {i: 4, b: 5, p: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r\/(r\/(r**4*r)*r))\/r*r*r)\/r*r)**(3\/5)*r**(2\/11)*r**(-10\/9) assuming r is positive.\nAnswer: r**(1322\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*4*(-18)\/16. Suppose o*u + 0*u = -5*v + 13496, -2*v - 22545 = -5*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*p - 214*p = 199*p + 558 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 1. Let u be g(-3). Suppose 2*c - 90 = 3*l + l, c + 5*l = u. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/304308 and -151\/192?\nAnswer: 4868928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*g**3 + 1965*g**2 + 44440*g + 17460.\nAnswer: -5*(g - 97)*(g + 18)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + r = 79, -2*h + 4*r + 36 = -0*h. Let v = h - 64. Let w = v + 84. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66068709?\nAnswer: 3, 7, 509, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 14. Let b = 4\/23 - 31\/46. Does a = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9195221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129*w = -1136*w - 56 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*v + 6. Suppose -27 = -4*c + 3*c - 5*n, 0 = -3*n - v. Suppose -48 - c = -5*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4799*u**4 - 6*u**2 - 17*u - 36. Let l(q) = -1600*q**4 - 2*q**2 - 5*q - 12. Let f(g) = 2*b(g) - 7*l(g). What is the third derivative of f(d) wrt d?\nAnswer: 38448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j + 1. Let r be g(-5). Let s = 3 - r. Calculate the remainder when 24 is divided by (72\/(-32))\/(s\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*180\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 - 2*z**2 - 3*z - 3. Let d be t(3). Suppose -16*h = -11*h - d. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 92736?\nAnswer: 92736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*k - 4*o, -3*k - 21 = -4*o - 64. Let v(c) = -c**2 + 18*c - 3. Let t be v(k). Suppose t*m - 18*m + 64 = 0. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 15, -n - 2*n + 36 = -3*x. Let f = n - -7. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 880 (b) 1\/3 (c) -1\/2 (d) 2\/9 (e) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*y + 60 = -228*y + 5*f, 52*y + 24 = 56*y + 2*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 9142284*h**3 + 6964866215346*h**2 - 376122770039988*h + 5077747370922147.\nAnswer: 3*(h - 27)**2*(h + 1523741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1176\/7644*(51 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 177, 112, 47, -18, -83?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490340 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.9 (b) -4\/9 (c) 73 (d) -4 (e) -6 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 1. Let c be y(-1). Let r be 6 - c - 0 - 1. Factor 3*h - 2*h - 8 + 13*h**2 - h**r + 3*h.\nAnswer: 4*(h + 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74032 and 1232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let x(a) = -5*a**3 + 4*a**3 - a**2 - 415863 - 2271777 + 587640. Let g be x(c). What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**4 - 5*m**3 - 128*m**2 + 3*m + 3. Let g(y) = -y**4 + y**2 - y - 1. Let q(v) = a(v) + 3*g(v). Find the third derivative of q(p) wrt p.\nAnswer: -48*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqpppvwwpggpx. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2491660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -1, 5\/4, 3, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.16 in 20, 1\/6, -1\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/30*-3)\/2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**5 + 2*l**5 + 4*l**5 + (7*l**5 - 76 + 76 + (-4*l - l + 3*l)*(0 + 0 + 2*l**4))*(5 - 4 + 1) - 2*l**3 + 2*l**5 + 2*l**3 - 5*l**5 + 6*l**5 + 4*l**5.\nAnswer: 14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 15 = -3*q + 5*u, u - 15 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/59687 and -3\/2420.\nAnswer: 144442540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 40 + -37 - 46?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 29. Let n be (-6)\/9 - (f + 5). Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - r - 1. Let q(p) = -4*p**2 - 24*p + 2. What is 2*q(k) + 2*t(k)?\nAnswer: -2*k**2 - 50*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*p + 3*p + 2795, -4 = -4*p. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35*-2*147\/(-14) is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3\/29, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*((-57*d + 34*d + 29*d)*(-3 + 3 + 1) + (-1 + 1 + 2)*(d + 0*d + d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**4 - 5*f + 0 + 0*f**5 + 1\/10*f**6 + 5\/2*f**2 + 0*f**3. What is the derivative of w(p) wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/51)\/((-4)\/(-2) - -39). Sort 11\/2, z, 2.\nAnswer: z, 2, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 24*m - 20. What is the tens digit of q(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 14742\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2\/191 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 6*p**2 + 0*p + 0*p**3 + 2 + 1\/48*p**4 + 1\/240*p**5. Let l(y) be the second derivative of g(y). Determine s so that l(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from ybybbbybbbybbbbb.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 = -5*v, 5*s - 9 = 5*v - 4*v. Let m = 17 + v. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153 + -143. Let x be -3 - 4*(-55)\/f. What is the greatest common divisor of 323 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:47 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 - -2023?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3 - 5 + 1 + 26*s + 22*s - 49*s. Let m(x) = -2*x**2 - 3. Calculate -2*a(i) + m(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*d**3*g**2 + 2*c**2*g + c*d**3 - 7*d**3*g**2 - 2*d**3 + 15*g**2 wrt c?\nAnswer: -6*c*d**3*g**2 + 4*c*g + d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14280?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31937 (b) -0.4 (c) 573 (d) 1 (e) 4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 794663\nAnswer: 1\/794663","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3817, 3814, 3811, 3808?\n\"Answer: -3*o + 3820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.45 + -2.45. Let g(d) = -d + 8. Let h be g(10). Let z be (2\/h + 3)\/(-1). Which is the nearest to i? (a) -0.5 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31303 (base 6) in base 14?\nAnswer: -1771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243048687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 7*s**2 - 7*s - 8. Let u be a(-6). What is the units digit of 8\/(-6)*3\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + -4.2. Let h = -378\/5 - -76. Which is the closest to h? (a) -0.2 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p - 10. Suppose 0 = 2*m + 5 - 11. Let b be y(m). Suppose 0 = b*w - 187 - 141. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23301.62 rounded to the nearest one hundred?\nAnswer: -23300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 7*q + 219. Calculate a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(2\/(-8) - (-7)\/21). Suppose 5*m + p - 156 = 3*p, -5*m = 2*p - n. Suppose 17*w - 7*w = m. Solve -w*q = -3*a - 15, 8 + 7 = -5*a + 3*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2*1\/2). Let t = o + 3. Suppose -169 = 20*i - 272 + 163. Put -5, i, t in decreasing order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309.7711m to nanometers.\nAnswer: 309771100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19784930 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1900894, 1900804, 1900714, 1900624?\n\"Answer: -90*c + 1900984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*w + 156 = 0, f + 2*w - 568 = -535 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o + 2. Let i(y) = 170*y**3 + 12*y**2 - 12*y + 26. Calculate i(w) - 12*n(w).\nAnswer: 170*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 26 = -5*b, -3*g = b - 5 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 + 70*p**2 - 4626*p + 4554 = 0. What is p?\nAnswer: -69, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2949042 and 2763?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1075*w**5 - 188*w**2 - 6513*w + 16.\nAnswer: -21500*w**3 - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnpx when four letters picked without replacement from {n: 8, x: 4, p: 1}?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 644\/(-8142)*(-153)\/(-714).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -19, 0.4024, -7?\nAnswer: 0.4024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122717361 to the nearest integer?\nAnswer: 11078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1192112987*k**2 - 579290908*k wrt k?\nAnswer: 2384225974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.758397 nanograms in milligrams?\nAnswer: 0.000007758397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27+-32590.39\nAnswer: -32617.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*x + 413*x - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**4 + 1\/15*w**5 + 0*w + 4*w**2 + 1\/120*w**6 + 0*w**3 + 0. Let l(y) = y**3 + y**2. Give -j(h) + 4*l(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6.9 (b) 4\/7 (c) 61\/2 (d) 1\/3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218750256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 11 - 5*n**2 + 4*n**2 + 4*n**2. Let q be ((-9)\/(-15))\/(2\/(-20)). Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 9:23 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7366670*o - 30. Let d be m(-9). Round d to the nearest 1000000.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 35726616?\nAnswer: 35726616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 621744 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:30 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 650*f. Let y(n) = 299*n - 138. Let r(z) = -66*z + 30. Let q(l) = -23*r(l) - 5*y(l). Give q(h(k)).\nAnswer: 14950*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(847)*2.\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(52) + 1 - (sqrt(208) + 0 + sqrt(52)*4).\nAnswer: -10*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 78, 145, 228, 321, 418?\n\"Answer: -j**3 + 17*j**2 + j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 m when three letters picked without replacement from fqffqfqhmqzszz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z + 102 = 4*c, z = 2. Let w = c + -10. Calculate the remainder when 69 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104204 + 0*s - 100504 - 2*s)*(-2 + 0 + 1) to l + z*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/132*80)\/(45*13\/5967).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -15, 0.1, -5\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 38. Let y be g(10). Which is the second biggest value? (a) -1\/14 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7378 is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 740.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)\/(w\/(w\/w**(3\/4)))*w**(-19)\/w*(w*w*w\/w**4*w)\/w)**(4\/17) assuming w is positive.\nAnswer: w**(-423\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25310 (base 7) to base 3.\nAnswer: 100011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -o + 5*o, 5*o - 2*s = 0. Calculate the common denominator of 6\/o - (-44)\/77 and 12\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20950 and 14570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.7. Let f = 1.3 + k. Let y(s) = s**3 + 6*s**2 + 7*s + 5. Let r be y(-5). Which is the second biggest value? (a) f (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77.5 + -44. Let q = 34 - f. Put -4, 3, q, 0 in descending order.\nAnswer: 3, q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/69 (b) 0.3 (c) 0 (d) 4.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36756, -73513, -110268, -147021, -183772?\n\"Answer: w**2 - 36760*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*k - 86*k - 5 - 15 = 0. Calculate the greatest common divisor of k and 12040.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78239.13 centimeters in micrometers?\nAnswer: 782391300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*b + 24, 5*j - 11*j - 5*b + 39 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 79 = -431. Suppose 3*l = 5*m - 5, -2 = 2*l - 3*l - 2*m. Suppose -4*w + l*w + s = 2*f, -4*w + 1 = -5*f. Solve 5*g + 2 = f*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11173 - -2484?\nAnswer: 13647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*s**6 + 39*l - 7673*s**6 - 2*s**2 - 114*s wrt s?\nAnswer: -240*l*s**3 - 920760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2321 and 1477.\nAnswer: 16247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -690.73553 rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2 = -18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -26*m + 34. What is the remainder when 38 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {k: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 900 and 2124?\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-60))\/((-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(2 - 2*y**2 - 2)*(-3*y - y + 2*y) - y**3 + 6*y**3 - 4*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.2 + 229.8. Let g = 143 - b. Let v = -99.055 - g. Round v to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 1\/3, -52, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/180 + i**4\/18 + 19*i**3\/54 - 14*i**2\/3 - 2829*i. Determine x so that r(x) = 0.\nAnswer: -4, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5\/3 - 196*g**4\/3 - 137*g**3 + 148*g**2\/3 + 257*g\/3 - 34 = 0 for g.\nAnswer: -2, -1, 1\/2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 - 166. Let o = -190.17 + r. Let j = -0.8299943 + o. Round j to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 11*r**2 + 11*r + 12. Let w be f(-10). Let m(v) = -141*v**3 - 6*v**w + 140*v**3 - v + 7 - 10*v. Is 3 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 12 = 34*z - 69*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:00 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-42))\/((-1)\/(-105)). Is 3 - (-3 + 3 + n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-7 - -28*46\/161)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2005 or -1996?\nAnswer: -1996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 342639 <= 7880730\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 10, v: 2, p: 1}. Give prob of sequence nmv.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/9 + -23\/18. Which is the biggest value? (a) 3 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -831*o - 814. What is the remainder when 337 is divided by v(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1752422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5687 divided by 5.\nAnswer: 5687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 6)*(-2)\/(-4). Suppose n*s = 3*s - 134. Suppose 4*r + s - 1566 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/d*d)\/d)**49 assuming d is positive.\nAnswer: d**343","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1790 = -1990. Round b to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14*(-2)\/8*-2. Let s(x) = 3*x - 16. Let i be s(r). Let f = i - -81. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 2*m + 248. Is 8 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192))\/(sqrt(24)*-6 - sqrt(6)) + (sqrt(200)\/sqrt(4) + 2 - (-2 + (sqrt(50) + sqrt(200))**2)).\nAnswer: -446 + 61*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3890, -3886, -3882, -3878, -3874, -3870?\nAnswer: -3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5455720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w - 1. Let o be -2 + 1 - (-1 - -1). Let c(z) = 4*z**2 - 3*z + 5. Calculate o*c(k) - 3*h(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 11:31 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**2 - 253852842*f + 5370105449289747 = 0.\nAnswer: 42308807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16110181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2517 - (4\/(4\/(-7)) - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -1796?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7335 minus -0.5?\nAnswer: -7334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/((-9135)\/350)*(-1 + -2).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61*1 - (9 + -4). Let j be (25\/4)\/((-2)\/x). Let i = j + 337. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6124675*v**3 - 3845*v**2 - 392*v wrt v?\nAnswer: -36748050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/25*(-15)\/12*-50. Solve 4*f - 4*n = 3*f - o, -n = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16688 divided by 1192?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let w(i) = -66*i - 18. Let r(u) = 2*s(u) + w(u). List the prime factors of r(-2).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49841, -49863, -49917, -50015, -50169, -50391, -50693, -51087?\nAnswer: -51585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 203 - 152 + 33 = -36 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 697856438 to the nearest 1000000.\nAnswer: 698000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/187068 and -71\/159180.\nAnswer: 354493860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8385 divided by 65\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 - 9 = 4*k, -6 = -2*k. Calculate the least common multiple of 27 and o.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 103241?\nAnswer: 103234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/2, -5, -208, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4\/10 + 441*s**3\/2 + 29487*s**2\/5 + 182854*s\/5 - 213444\/5 = 0.\nAnswer: -2178, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.059 - -27.059. Let y = -454 - -426.55. Let d = y + p. What is d rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03749192 to 4 dps.\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 9. Let w be o(0). Let v(i) = 9*i + 22. Let h be v(w). Let t = h + 97. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -3 (c) -1 (d) -0.5 (e) 1.343 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -85568 > -85654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 5, -13, -39, -73?\n\"Answer: -4*u**2 + 2*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 7510.\nAnswer: 15020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -84*t - 240. Let y(w) = 5*w + 14. Let x(q) = -3*o(q) - 52*y(q). Determine x(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75183us in minutes?\nAnswer: 0.0000000125305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1682405*t**3 + 977119*t wrt t.\nAnswer: 10094430*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 10. Let a = -11 - -18. Let v be w(a). Suppose -4*m - 2 = -v*s, 3*s - m = 2*m + 6. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.071 and -3.\nAnswer: -3.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -41. Suppose -3*v + 6 = 18. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (7 - 12) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 b when four letters picked without replacement from {m: 2, u: 5, x: 8, b: 4}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let b(z) = -6*z - 4. Let f(w) = b(w) + 4*k(w). Let l(m) = -2*m - 3. Let g be 6\/(-4)*28\/(-6). Let a = g + -4. Calculate a*f(c) - 4*l(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1230, 2478, 3728, 4974, 6210, 7430?\n\"Answer: -w**3 + 7*w**2 + 1234*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81522.14 hours in nanoseconds?\nAnswer: 293479704000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + v - 479392 = 0, -2*v - 319608 = -54*w + 52*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 34*k. Let l(u) = -53 + 1554*u - 1564*u + 53. Calculate v(l(q)).\nAnswer: -340*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*f**2 - f + 2 + 9 + 4*f**4 - 4 + 88*f**2 as i*f**3 + g*f**2 + t*f**4 + l + o*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 19*x + 16. Give t(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c + -13b7a?\nAnswer: -13b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 + 5*g**4 + g**4 + (-3 + 3 + g**3)*(5*g - 2*g + 4*g) + (-g**2 + g**2 + 3*g**3)*(-659 + 2*g + 659 + (-5 + 3 + 1)*(-4*g + 2*g + g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5 = -l, 47*b - 43 = -3*l + 51*b for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31752 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4956 - 4953. Let y(t) = 3*t**2 - 12*t + 4. Determine y(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4\/7, -3, 3\/7, 2\/5, 837?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32416 and 2026?\nAnswer: 32416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 9, a: 1, r: 2, e: 6}. Give prob of sequence uu.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12152975 by 2430595.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(12))**2 + 3 - sqrt(21)\/sqrt(28)).\nAnswer: -3*sqrt(3) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h**2 + 0)*(5*h**2 + 0*h**2 - 4*h**2 + (-3*h**2 + 4*h**2 + 0*h**2)*(-1 + 0 - 1) + h**2 + 0*h**2 + h**2).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615 and 77190.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 20. Suppose h - 2 = c. Let i = 39 - 17. Calculate the lowest common multiple of c and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {m: 1, a: 1, i: 1, s: 5, t: 6, q: 6}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965360 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -333270222*z**2 - 2*z. Let v(s) = -s. Determine v(w(k)).\nAnswer: 333270222*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) -3 (b) -9 (c) 0.5 (d) 5\/321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -1007?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from ppbwwwpbpbpbbbwb.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 4, -1\/3, -9 in descending order.\nAnswer: 4, 1\/9, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765472126?\nAnswer: 2, 382736063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -13*g - 2*p + 14, 5*g - 4*p = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8095 equal to 10.774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206878338*y**5 - 115257136*y wrt y?\nAnswer: 4137566760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -5\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.85 + -0.75. Let l(u) = 2*u**3 + 17*u**2 - 8*u + 9. Let k be l(-9). Which is the nearest to w? (a) -5\/4 (b) k (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569224704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.77 - -0.23. What is the third biggest value in m, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38480 divided by -38480?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 2, e: 1}. What is prob of picking 1 b, 1 e, and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3291*h - 20. Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/11, 3.878, -4, -3, 18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 31. Calculate l(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:43 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/5, 157302 in decreasing order.\nAnswer: 157302, 4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/18*3*6. Let p be (176\/132)\/((-2)\/36). Let c be 9\/p + 35\/j. Solve 3 = -c*a + 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1306.\nAnswer: 6530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11227668?\nAnswer: 2, 3, 935639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 132358, 132523, 132688, 132853?\n\"Answer: 165*b + 132193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000624319 to seven decimal places.\nAnswer: -0.0000624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1230776811 divided by -136752979.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -20. Let k(s) be the first derivative of -7 - 3*s - c*s + 33*s**5 - 30*s**5. What is the derivative of k(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 102 = 2*x - 242, 3*x = -5*z + 431. Let r = 87 - z. Suppose -3*f = r*c - 2649, -2*c - c = 4*f - 3532. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/41 not equal to -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - -5 - -2) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -23.8 = -9189\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by -558?\nAnswer: -17\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -318*r**5\/13 + 11138*r**4\/13 - 11092*r**3\/13 + 272*r**2\/13 = 0.\nAnswer: 0, 4\/159, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -24448 equal to -2\/4485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**8\/60480 - s**7\/5040 + s**6\/1080 - s**5\/30 - 7*s**2. Let c(z) be the third derivative of q(z). Factor c(o).\nAnswer: (o - 2)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let x(o) = -o**2 - 1. Let y(l) = -3*l**2 + 7*l**2 + 6*l**2 + 8. Let a be ((-3)\/(-1 - 2))\/1. Let w(h) = a*y(h) + 8*x(h). Calculate w(f(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 - 401*t - 2. Let g(s) = 3*s**2 - 2*s - 1. Calculate 3*g(l) - m(l).\nAnswer: -3*l**2 + 395*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-3 + 13*y + 3).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 6*l - 6. Let u be x(-6). Let r(c) = 3 + 443*c - 2*c**3 + 7*c**2 + 3*c**3 - 437*c. Determine r(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 5*v - 3. Suppose 2*s - 6*s = -76. Suppose 3*q - s = 4*t, -2*t = -3*q + t + 18. What are the prime factors of b(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81 + -36018?\nAnswer: -36099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 62*z**2 - 485*z + 9. What is l(11)?\nAnswer: 2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1153, -2493, -4181, -6391, -9297, -13073, -17893?\nAnswer: -23931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0 (b) -5 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czxcooazaoaoxooc. What is prob of sequence az?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 75*s**2 + 221*s - 3101. Give r(39).\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (644*4)\/4 - (5 - 8). Let z = s - 15. Is 79 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 19*f**2\/2 + 4*f + 1010. Let s(v) = -3*v. Determine a(s(b)).\nAnswer: -57*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114458052?\nAnswer: 2, 3, 19, 619, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 790861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d. Let v(m) = 575564*m. Determine v(r(x)).\nAnswer: 4028948*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2075, -3053, -4029, -5003, -5975, -6945, -7913?\nAnswer: -8879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*(i\/i**(-4))\/i*i*i*i)*i)**(-2\/15)\/(i*(i*i*i**5\/i)\/i*i)**(-49) assuming i is positive.\nAnswer: i**(5159\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 186\/7 (b) 1 (c) -1219.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 86*y + 6. Is b(15) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 804514.663 + -804158. Let w = 357 - n. Let u = -0.3233 + w. Round u to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:20 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 738.5721 hours?\nAnswer: 2658859560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -1\/7, -4\/5, 5 in increasing order.\nAnswer: -4\/5, -1\/7, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 0)*12\/1. Suppose 4*f - q = -0*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168990 and 422475.\nAnswer: 844950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 + v. Let h be c(1). Suppose -5*w - 21 = 3*i + 2, -5*w - h = i. Let a = 41 - 54. Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7307664 divided by 12?\nAnswer: -608972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21838661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*g**2 + 5*g - 13052 with respect to g.\nAnswer: -44*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sjcisssu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 21*t + 44 = 0. Solve -r - r = -t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(35) + sqrt(2240)*-2)\/(sqrt(605)*-2 + sqrt(605)))*-2*2.\nAnswer: -60*sqrt(7)\/11 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3 - 8217730*f**2 - 49306560*f = 0.\nAnswer: -6, 0, 1643552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52454 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 3, z: 2, x: 3, y: 12}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 5. Let k be v(-3). Let j = 4 + 1. Suppose -j*d - 12 = -9*d. Solve 3*x - d = -g, 3*x + x + k*g = 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2*d - d + 4*d) - 4*d + 2*d + d + (-4*d + 2*d + 0*d)*(5 - 2 - 2) + d + 0 + 0.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*f**4 + 2*f**3 - 931*f**2 - 98*f = 0. Calculate f.\nAnswer: -7, -2\/19, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**7\/42 - 7*k**4\/12 + 7*k. What is the third derivative of j(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(((-84)\/40)\/(-7)). Suppose 5*k - f = 0, 0 = -4*b - 4*k - k + 1672. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5040 - -5040. Let p(w) be the first derivative of 17\/2*w**2 + 3 + 2\/3*w**3 + k*w. Find the second derivative of p(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*a + 15 = 4*d, -3*d + a = 3. Solve 0 = 2*j - d*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 14. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 12) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980) + sqrt(1980)*1 - sqrt(1980)) + sqrt(1980) - sqrt(660)\/sqrt(768))\/(-6*3*(sqrt(88)*-2)\/sqrt(8)).\nAnswer: 95*sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 0*p**5 - p**5 + (-p**3 + 0 + 0)*(2*p**2 - 7 + 7) - p**5 - 5 + 5.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207202 is divided by 51800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -146. Suppose -5*b - 28700 = -10*b. Suppose j*a + b = 9*a. What is a rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-67386)\/154 + (-9)\/21. Let p = 441 + l. Let v be 0\/(-2 - -1) - -2. Solve -v*z - z + p = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1363\nAnswer: 2\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2880 or -0.06?\nAnswer: 2880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/15 - 4030*k**3\/3 - 80674*k**2\/15 + 141106*k\/5 = 0.\nAnswer: -7, 0, 3, 10079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 9*y**2 + 15*y - 6. Let v be h(7). Let m be (v\/((-3)\/2))\/((-14)\/105). Suppose m*n - 2*q = 34, -4*n + 7 = -q - 22. Solve a = -a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, j: 3, e: 1, a: 2, o: 3, h: 7}. What is prob of picking 2 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-108))\/(14\/84)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4987*r = -4982*r - 41 + 114, -k - 3*r + 0*r = -33 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l = -46*l + 174. Calculate the remainder when 114 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0*t + 0 + 0*t**4 + 0*t**3 + 4*t**2 + 1\/30*t**5. Let m(o) = -4*o + 4*o - o. What is z(m(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.278751751 take away -3?\nAnswer: -152.278751751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -134.137\nAnswer: -536.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.1, 73 in increasing order.\nAnswer: 0.1, 42, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -201004964*m + 781 + 2*m**2 + 201004964*m as y + h*m + k*m**2 and give y.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:09 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 11. Let u(b) = 2*b + 20. Let h(x) = u(x) - z(x). What is h(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.42, -4\/5, -0.4, 8 in decreasing order.\nAnswer: 8, 0.42, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652223815?\nAnswer: 5, 5657, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n + 3. Let u(f) = -f**2 - 4*f + 2. Let a be u(-5). Let k be d(a). Let h be (-15)\/35 + (-15)\/(-21). What is the nearest to k in h, -5, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-12) - (-3)\/(-6). Solve -l = -c, 5*l = b*c - 0 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.86*0.9\nAnswer: 7.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524 (base 7) to base 5.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -50*w**2 + 15*w + 27*w**2 + 26*w**2. Let a(n) = 2*n - 2*n - 3*n + 2*n. Give l(a(m)).\nAnswer: 3*m**2 - 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 14*l**2 + 9*l - 37. Let t = 29 + -44. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124903 and 5078683?\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 884974490 a multiple of 3985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15985 - 32061 - 2*y**3 + 18*y**3 + 16076.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v - 8*v**6 - 72\/5*v**5 - v**3 - 4 - 27\/4*v**4 + 0*v**2. Factor i(d).\nAnswer: -3*d**2*(d + 1)*(4*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s - 15. Let u be p(6). Let w = 48 - u. Suppose -w*l + 8 = 2. Solve b + 3 = l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/484878965 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38717681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14139466 divided by -8.\nAnswer: 7069733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 1c9?\nAnswer: -1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**4 - 13*i**2 + 4*i + 7. Let x = -5 - -11. Let t(y) = 8*y**4 - 12*y**2 + 4*y + 6. Let w(g) = x*f(g) - 7*t(g). Suppose w(n) = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*l**5 + 8*l**4 + 24*l**3 + 9249*l**2 + 1 wrt l.\nAnswer: 600*l**2 + 192*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2 + (2 - -22)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-47)\/7990*20 + (-174)\/(-34). Suppose g - 6 = -2*p, 5*g + 3*p = -0*g + 9. Sort -1, n, -11, g in decreasing order.\nAnswer: n, g, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 3654591?\nAnswer: 21927546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 69 + 96. Let y(g) = 3*g + 19. Calculate the remainder when o is divided by y(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122200021000 (base 3) to base 16.\nAnswer: -1586f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87305.48l to millilitres.\nAnswer: 87305480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q - 5. Let d(m) = m - 3. Let i(s) = -2*d(s) + f(s). Calculate i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac23 (base 13) to base 14.\nAnswer: -8a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(-13)\/(390\/(-20))*7172\/326.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9260780 and 31715.\nAnswer: 9260780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m + 5*y, 4*m + 11 + 9 = 4*y. Let h = -0.095 + 0.095. Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276707971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 7 - (2 - -8). Let s be (-11)\/(-44) + ((-43)\/(-4) - 0). Let q = 3 + -2.8. Which is the closest to 1\/2? (a) z (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r + 45. Let u = r - -8. Let i = -3 - u. Calculate the remainder when 6 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let c be y(-4). Suppose -21*z - 9 = -2 + 14. Sort 0, z, 3, c in increasing order.\nAnswer: c, z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1957 and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {j: 1, q: 1, e: 2, t: 4, i: 1, m: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 27*x - 122. Let v(u) = 4*u. Determine j(v(a)).\nAnswer: 16*a**2 - 108*a - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01482483 and -261925.\nAnswer: -261924.98517517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*r + 1179 = 0, r = m + 123 - 520. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 9*h. Is h equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 98913 = -88*i + 2415375. Is 52 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/3 - 388*b**2\/3 - 392*b\/3.\nAnswer: 4*b*(b - 98)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 8}. What is prob of picking 2 r and 1 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41278234 is divided by 4588?\nAnswer: 4586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -39. Let d = 3 - 13. Let p = o + d. What is the greatest common factor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3457821 is divided by 3216?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 8. Suppose 15*q - 30 = 10*q. Let w be (-8)\/q*3*2 - -1. Determine m(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 + 42\/8. Let a(p) be the second derivative of -p + 1\/60*p**6 + 0*p**3 + 0 + 0*p**2 - 1\/48*p**4 - 1\/80*p**s. Solve a(w) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6885540 by -382530.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 30799*g**4\/12 - g**3\/3 + 15*g**2\/2 + 3*g. Let h be i(-5). Round h to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3902*o + 28 = 3898*o, 4*d + 47*o + 200 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/80)\/(1\/((-5)\/12)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by -3\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 4*h - 2. Let c be w(-4). Let g(j) = 2*j**3 + 3*j**2 + 2*j + 2. What is g(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 1296.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 12, -5, -4\/3 in descending order.\nAnswer: 12, 0.4, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 8*v + 10. Let o be k(4). Factor 4 - 10*a**2 - a**2 - o*a - 8*a**2 + 5*a**2.\nAnswer: -2*(a + 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxzvjxvvjj. Give prob of sequence vxvj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (403*(-63)\/3549*-13)\/(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91587781 to the nearest integer?\nAnswer: 9570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*g - 0 - 1, -2 = 2*u + 4*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.074 * -1.672414.\nAnswer: -0.123758636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 18 (b) -3 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 + (-2 - (-8 + 2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-5))\/(-3*3\/270). Solve 0 = -15*i + l*i - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10576*x - 5250*x - 5202*x.\nAnswer: 124*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/25 + 48\/30. Solve u*g + 8 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 15, p + 0*g + 74 = -5*g. Let j = p - -28. Let s = -34 - j. Is -13 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooojoojjoj. Give prob of picking 4 j.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 45*g + 117. Let t(f) = 19*f + 59. Let b(y) = -4*k(y) + 9*t(y). Give b(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 7917, -0.08, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 5)*(5 + 15*o - 5).\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5225*i + 52694. Calculate h(10).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0802, 2\/11, 2\/3 in ascending order.\nAnswer: -0.0802, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*u + 2*w + 907, 289 = u + 2*w. Calculate the highest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:50 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4916 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, q: 2, j: 7, o: 2}. What is prob of sequence qj?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 9*l**2 - 15*l + 44. Give v(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 21*r + 9. What is the units digit of b(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -0*y + 6*y - 4*c, 2*y + 390*c = 391*c - 37 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w. Suppose 0 = -5*y + 2*t + 2, 4*t + 0 = -y - 4. Let u(i) be the second derivative of 0*i**2 + 3*i - 1\/6*i**3 + y. Determine u(d(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3301 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 20 + 4 = 0. Put n, -3, 2 in decreasing order.\nAnswer: n, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/((-5)\/(-30)). Which is greater: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 + -897\/5. Let w = -16 - -23. Let z = w - 7. Does f = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-5 - 11) + 12) - (-1 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31233222211 + -11?\nAnswer: 31233222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + (-65)\/60. What is the closest to -0.1 in 3, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/7053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, z: 1}. What is prob of picking 2 g?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 - 2*b**3 + (-5*b**3 + 0*b**3 + 4*b**3)*(0 + 0 - 1) + 6*b**3 + 2*b**3 - 11*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 5, u: 2}. What is prob of picking 1 v and 2 u?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v**(-7)*(v*v**(-4)*v)\/v*v**(-3\/10))\/((v*v**(2\/19)*v*v)\/v**(-9))**(5\/8) assuming v is positive.\nAnswer: v**(-1469\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.955 + 0.045. Let z be 21\/12*(-4)\/14. What is the second smallest value in -1\/3, q, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 13. Let n be b(-10). Suppose -k + 112 = n*k. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/9 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74090 or -74091?\nAnswer: -74091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -44, 1 in ascending order.\nAnswer: -44, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 5, -31, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11580112 divided by -5048\nAnswer: -2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -126.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -6 - (3 + 4 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 3*p - 11. Let z be y(-5). Let h = -2 + z. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*l + 156*l - 15 = -5*m, -19 = 4*m - 3*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*q**2 - 35 + 35)*(0*q - 11*q - 12*q).\nAnswer: -1840*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*b + 6, -b = 3*j - 2 - 7. Let c(p) = 5*p - 8. Let x(k) = 4*k - 9. Let t(w) = j*c(w) - 4*x(w). Let q be t(4). Let o(a) = -a + 11. Calculate o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 - n**4\/3 - 5*n**3\/6 - 2*n**2 - 2*n. Determine y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 18108*p**2 + 654804*p + 5901984 = 0. What is p?\nAnswer: -18, 6072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1897026*q**3*r**3 - q**2*r**3 + 2*q**2*r - 146*q**2 - q*r + 6*q - 98*r**3 wrt q.\nAnswer: -11382156*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from ffkkffffffkfffffffff?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 50.7. Round z to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 13. Let n(h) = h - 12. Let v(t) = -6*n(t) + 5*o(t). Let a(y) = -2. Give 7*a(z) + 2*v(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)*s*s**(-4)*(s**(2\/7)*s)**(3\/19) assuming s is positive.\nAnswer: s**(-638\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 8898934.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24971906.\nAnswer: 2, 43, 139, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5970499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i**3 + 1\/2*i**4 - 4*i - 3*i**2 + 51. Let x(j) = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/((348\/120 - 13) + 10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*a + 3, 2*n - 6 = 2*a + 12. Suppose 3*j + n*c = 2182, -20*c = -5*j - 17*c + 3648. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t**2 - 227*t - 57*t**2 + 227*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*37\/(777\/21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18*(4 - 9)\/(-15). Let o(a) = 2*a - 4. Give o(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 15 = -3*i. Let h be 32\/(-20)*(-50)\/4. Suppose i = -g + h. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13. Let k = w + 15. Let d = k - 14.5. Which is the third biggest value? (a) -1\/4 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -71a4a9?\nAnswer: -71a4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11197.404 + 10916. Let d = p + 301.40409. Let v = d + -20. What is v rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + 0 + 7\/28. Suppose d = -0*c - c + 19. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.71 + 0.91. Is 3.5 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:31 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -15. Suppose q = 2*w - 9, 10*w + 5*q + 27 = 14*w. Solve l = m*l + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 367995.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 + o + 1. Let q(n) = -50*n**3 - 60*n**2 - 60*n - 60. What is -q(y) - 60*w(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {b: 3, q: 2, y: 2, x: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.3 (c) 88 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 8*m - 40.\nAnswer: -2*(m + 6)*(m + 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q + 308. Suppose 0 = 57*w - 34*w - 1909. Suppose -w = -3*t - 5*g, 12*t + 128 = 17*t - 2*g. Calculate the remainder when q is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4.121 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 16336.\nAnswer: 81680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - j + 4)*(4 - 3 - 2)*(-2*j**2 - 5 + 5) to the form i*j**3 + k + x*j**2 + s*j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from {w: 7, m: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/87 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1052 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 217 = 2477. Let t = 453 + c. Solve v = -t*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10700.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 2*y**3 + 0*y**3)*(4422*y**2 + 4091990*y - 4091990*y).\nAnswer: 4422*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(3\/(-36)). Suppose -v = -2*a + 21, -4*v + 3*a - c*a - 66 = 0. Let s = v + 35\/2. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 28*m - 17*m - 3658*m**2 + 41*m + 3652*m**2. Let l(o) = o. Give l(p(a)).\nAnswer: -6*a**2 + 55*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6008808878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*w + 13. Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*u - 30 = -115*u. Solve 0 = 5*m - 4*m - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/710 + -28719\/2840. What is the common denominator of -115\/12 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 76\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 16*v - 35. Let b be o(4). Let c(n) = -n**2 + 12*n + 3. What is c(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -637, -1268, -1899?\n\"Answer: -631*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6)**8*(t**(1\/3))**(-1\/10) assuming t is positive.\nAnswer: t**(1439\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23695 - 20681 = -425*h - 10801. Solve 2*g = 6, -g - 56 + h = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -2*d + 2, -4*d = -2*n - 5*d + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6 + 13*a + 3*a - 1 - 3*a**2 - 15*a. Let n(g) = -4*g**2 + g + 6. Let c(l) = 2*n(l) - 3*z(l). Give c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7397274148 to the nearest integer?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 26*x - 27*x. Suppose 2838 - 22328 = -x*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g + 110. Let u be l(-13). Find the second derivative of 11*i**2 - u*i + 14*i + 1 + 19*i**2 wrt i.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*s**3 - 19 + 110*s**3 - 57 + 129*s**3.\nAnswer: -18*s**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - c + 169, 0 = 3*o + 4*c + 27 - 170. Let d(r) = 46*r - 86*r + 11 + o*r. Calculate d(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.99239*-17\nAnswer: 169.87063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l - 54 - 123 - 79 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzcczczzczczccyzzc. Give prob of sequence czc.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6174 + -6173.5779. Which is smaller: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by 15413?\nAnswer: -199\/15413","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2171265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 69*y**2 + 6. Let t be i(4). Let x = t - 660. Suppose -8*p + 11*p = x. What is the greatest common factor of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19166 or -57500\/3?\nAnswer: -57500\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*x - 24 = 0, x = -11*r + 15*r + 16. Put 0, -5, -4, r, -516 in decreasing order.\nAnswer: 0, r, -4, -5, -516","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/4)\/(4\/6). Suppose m*d = -0*d. Solve d = 2*v - 6 - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 13*y + 24. Give z(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a millennium?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 equal to 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - z**5 + 0*z**5 + (z**2 + 8*z - 8*z)*(10*z**3 - 3*z**3 + 2*z**3).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 18 (b) 1\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238151600*t**3 - 448225381 wrt t?\nAnswer: -714454800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47278187 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x + 12. Calculate p(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -3 (c) 2\/5 (d) 774 (e) 1\/6 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 + 3. Let v be z(4). Let m be ((0 - 2) + 3)*56. Suppose -v*a + m = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3456500 and 7130?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 + (2 - 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-11 - (5 + -1 - 17 - (-2 - -33))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 737 - 474. Let a = c - -376. What are the prime factors of a?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966561.\nAnswer: 3, 53, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*n + 13502 = 25004 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20855 is divided by 4939.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 equal to 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -9. Let k be -4 - (-572)\/i - (-1)\/4. Suppose -5*y = -2*m - 27, -2*m + k - 9 = 5*y. What is the remainder when 19 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 4603892.\nAnswer: -23019460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**6\/3 + 13*r**4\/12 + 3*r. What is the third derivative of h(t) wrt t?\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 553\/2 - 33179\/120. Let m(f) be the third derivative of 0*f**5 - 1\/6*f**4 + 0*f + 0 + 0*f**3 - p*f**6 - f**2. Find the second derivative of m(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -614043063 - -1?\nAnswer: -614043062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113.883 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9554, 9952, 11074, 13286, 16954, 22444?\n\"Answer: 61*g**3 - 4*g**2 - 17*g + 9514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2128344 * -0.04.\nAnswer: 85133.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4823*s + 9626. Let h(n) = -28939*n + 57748. Let u(p) = -35*g(p) + 6*h(p). Differentiate u(x) with respect to x.\nAnswer: -4829","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 1 (b) -5\/6 (c) 15.05 (d) 42 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 5828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348, 304, 226, 114, -32, -212, -426?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5957 - 5491. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Suppose -n*j + 4*d + 2 = 16, 4*j - 18 = -2*d. Let l be 6\/(3\/j - 0). Sort -1, 0, l in descending order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -82. Suppose -l*x + 1891 = -1710. What are the prime factors of x?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 - 9 = -4*c, -19 = 4*f - c. Let b = f - -23. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7325\/7 + 1047. Which is greater: 100 or x?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 7*v**4\/12 + v. Let m(a) = -a. Calculate m(y(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(20\/(-4)) - -5. Which is the third biggest value? (a) l (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 1129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-15))\/(-6))\/(-2) + 38\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.082081 centuries?\nAnswer: 0.1082081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20449 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 41\/(-11) + 173\/11 + -16. Suppose 4*h - 19 = 61. Suppose -r - h = -6*r. Sort 1, q, -2, r in decreasing order.\nAnswer: r, 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/76 less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 + 236 - (-15 - (-5 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3856 divided by -16.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n + 9. Let g(r) = r**3 - 11*r**2 + r - 11. Let q be g(11). Let i be b(q). Suppose 4*w - 23 - i = -j, 0 = 3*j + 5*w - 124. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 5492098*u**2\/11 + 32952534*u\/11 + 49428774\/11.\nAnswer: 2*(u + 3)**2*(u + 2746043)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnoooonnooon. Give prob of picking 3 o.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11956 and 732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 2*b + 301935 + 99144. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3062205)\/(-65) + (-30)\/(-195) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/148 and -61\/20545030.\nAnswer: 1520332220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/4 - 41*z**2\/8 - 53*z\/8 + 5\/4.\nAnswer: -(z + 2)*(z + 5)*(6*z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-23))\/((v\/v**4)\/v))\/((v\/v**(6\/7))\/v**(1\/11)) assuming v is positive.\nAnswer: v**(-1390\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i. Let z(h) = 3*h - 1 - h + 10 + i*h. Let o be z(-4). Solve 3 - o = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(0 - 1) - -2. Let b(s) = -72399*s**2 - 3*s - 10. Let r be b(x). Round r to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2792)\/(-30) - (1572\/(-45) + 35). Solve -k = -3*r - 105 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167469*y**2 + 167219*y**2 + 167212*y**2 - 501903*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.04791698\nAnswer: -0.04791698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -8. What is the smallest common multiple of 1*26 + (6 - 10) and d\/(-3)*(29 - -1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-3\/8)*y**(1\/3)*y**5\/(y**(-1)*y) assuming y is positive.\nAnswer: y**(161\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2*39\/(-13). Let q be 6\/m - (1 + 300001). Round q to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 100 (b) -3 (c) 37.6 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(1584) + 6*3*sqrt(1584) + sqrt(1584) + 5.\nAnswer: 6 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*j + 31, -5*j - 4 = c + 10. Suppose -y = -q + 6, 5*q - 8 = -2*y + 3*q. Let k = y - c. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g. Let c(j) be the second derivative of -283*j**3\/3 + 3097*j. Calculate c(h(v)).\nAnswer: -6226*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 490975?\nAnswer: 4418775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -0.1879, -0.1, -118?\nAnswer: -0.1879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974466 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 744 and 216?\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((1 + sqrt(1100) + 3 - sqrt(1100)) + -1 + sqrt(1100)*-4 - 1*(sqrt(1100) - (sqrt(1100) + 1))*4*2))**2.\nAnswer: -880*sqrt(11) + 17721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1599*g + 2. Let d(c) = -5*c - 5. Calculate d(q(o)).\nAnswer: -7995*o - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -4*n**3\/3 - 110*n**2 + 2199. Let l(r) = 3*r. What is l(b(q))?\nAnswer: -12*q**2 - 660*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 3, 158, 43 in descending order.\nAnswer: 166, 158, 43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p + 0*p + 532 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377003091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586393753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(9\/((-54)\/(-6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100101101001 (base 2) to base 4.\nAnswer: 30211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -854 - -855. Let v(r) = -2*r**3 + r**2 - 1. Let w be v(-1). Solve -w + m = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2480, 4951, 7420, 9887, 12352?\nAnswer: 14815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(76\/20 - 4). Suppose -4 = -d*z + 23*z. Let u be -1*(-1 + -1 - -4). Put z, u, 0 in decreasing order.\nAnswer: z, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5.4. Let a = 6.6 + z. What is the second smallest value in -1, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/15*21\/(-14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 15. Let u(c) = -c - 15. Let t(j) = 2*k(j) - 3*u(j). What is t(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*16\/220)\/(6\/(-15))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*w + 313*w - 2093 = 0. What is the greatest common factor of w and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odod when four letters picked without replacement from ooooooooodoodd.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*x - 23*x + 15*x to o*x + n and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*144\/(-113400)*-9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:48 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -602 and 33?\nAnswer: -19866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 18 - 78. Let b(n) = -39408*n**3 - 19*n**2 - 23*n + 36. Let j be b(f). Round j to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 39*d - 69 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6801*i + 5047*i + 64898 = 0 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715 = 10*b - 875. Is 36 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 216, 733, 1604, 2835, 4432?\n\"Answer: u**3 + 171*u**2 - 3*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/4)*o*o\/(o\/(o\/(o\/o**(-6))))*o**0*(o**(1\/7)\/o)\/o*(((o\/(o**(-2)\/o*o*o*o))\/o)\/o**(2\/13))\/(o**(-5\/3)\/(o**4\/o)) assuming o is positive.\nAnswer: o**(-2833\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41851253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.769613 weeks to nanoseconds.\nAnswer: 2884661942400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (-347 - -369)) + 1 + -2 + 1 + -89.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8010, -16059, -24110, -32163, -40218, -48275?\nAnswer: -56334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 38759*r. Let i(q) = 180*q**2. Determine u(i(z)).\nAnswer: 6976620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-84)\/147 + (0 - 290\/105))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(34)\/(sqrt(6)\/sqrt(3)*-6) - ((sqrt(425) - ((sqrt(425)*-1 + 5)**2 - sqrt(425))) + 0).\nAnswer: -181*sqrt(17)\/3 + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 3759 = -3834. Let i(y) be the second derivative of -7\/3*y**3 + 0*y**4 + 3\/10*y**g + 0*y**2 + 4*y + 0. Find the second derivative of i(h) wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.904 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89*p**2 - 744*p**2 - 196*p**2)*(-7*p + p + 0*p) to the form a*p**3 + r + z*p**2 + g*p and give a.\nAnswer: 5106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02801674 rounded to four decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 5*j + 20 = -3*u, 0 = -5*j - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -355, -419, -487, -559, -635?\n\"Answer: -2*q**2 - 58*q - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(684) + sqrt(684) + -1 + 2*sqrt(684) + sqrt(684) + sqrt(684) + (1 + sqrt(684))**2*4)*5.\nAnswer: 840*sqrt(19) + 27350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60820\/15 - (-2)\/6. Let b = 56795\/14 - x. Calculate the common denominator of b and 33\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 60. Suppose -j = -l + 8. Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 162 = -n, n = -4*n - 3*h + 810. Suppose 0 = -3*d - 0*d - 3*i + 177, -3*d + 2*i + n = 0. What is the remainder when 216 is divided by d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 11:43 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*b - 86. Let l = b - 8. What is the units digit of (l\/(-10) + 1)*15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/35)\/((-54)\/90)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 829869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-47)\/(-985)*-6 - (-3)\/15 and -74\/9.\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1.803.\nAnswer: -12.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2. Let l be g(0). Let u be 0 - l\/(0 - 6). Let s be (72\/14 - 5)*-2. Which is greater: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 not equal to -1583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -368, -343, -274, -137, 92, 437?\n\"Answer: 4*c**3 - 2*c**2 + 3*c - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + (sqrt(891) + 1 - sqrt(891)) + sqrt(891))**2 - (0 + sqrt(275) + sqrt(275)*-3)**2.\nAnswer: -20*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**4 - 193*i + 23408.\nAnswer: -12*i**3 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 50. Let o be (440\/g)\/((-2)\/10). Let t be 1 + (-84)\/o - 0. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 45, 8, 0 in descending order.\nAnswer: 45, 8, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160688252 or 160688249?\nAnswer: 160688249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*c**3*r + 74*c**3 - 3447*r wrt c.\nAnswer: -183*c**2*r + 222*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**8\/112 + 19*x**7\/35 + 101*x**6\/8 + 657*x**5\/5 + 486*x**4 + 864*x**3 - 118*x**2 - 5. Factor k(i).\nAnswer: 3*(i + 1)**2*(i + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395068693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, -20, -84?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/210 + 73*z**6\/20 - 1225*z**4\/24 + z**2 + 58. Find the second derivative of f(k) wrt k.\nAnswer: -12*k**2 + 2628*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 424886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 108801?\nAnswer: 435204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -14301, -0.4, -137, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 3.2. Let a = -1 - c. Let t = 204.3 - 202.9. Put -1, t, 4, a in ascending order.\nAnswer: -1, t, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 2 - 0) + 0. Suppose 4*l + 10 = 3*s, 2*s - 2*l - l - 7 = z. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/432 and -7\/758?\nAnswer: 163728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = 10. Let h = 5 - k. Let u(x) = x + x + h*x. Let g(p) = 2*p**2. Determine u(g(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-66) - (-16)\/44. Which is the nearest to -0.2? (a) -0.3 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737400 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32500164.\nAnswer: 2, 3, 2708347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-8)\/(0 + 15\/10). Suppose 0 = -25*n + 21*n + y. Solve -2*o + n = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*u**2 - 71897*k*u**2 - 540095*u**2 wrt k?\nAnswer: 6*k**2*u**2 - 71897*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560210859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20957025.\nAnswer: 3, 5, 23, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 7*f - 6. What are the prime factors of z(8)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/3, 10.7, -2\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4 and 61\/170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -73*l**3 + 3*l + 3. Let z(v) = 30222*v**3 - 1241*v - 1241. Determine 2482*w(c) + 6*z(c).\nAnswer: 146*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(0 + sqrt(6300) + -5)**2 - (5 + (sqrt(2268) + sqrt(2268) + -3*(-2*sqrt(2268) + sqrt(2268)) + sqrt(2268) - sqrt(2268)))**2).\nAnswer: -37752 - 1800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 140, 554, 1678, 3866, 7472?\n\"Answer: 59*r**3 + r**2 - 2*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = 7*m + 270. Let b = 137 + m. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1350480 (base 9) to base 8.\nAnswer: 2650635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 2*d - 1. Let s be (-2)\/(2 + 0\/2). Let z be b(s). What is the third derivative of 4*w**2 - 3*w + z*w - w - 3*w**4 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2890*l**5 + 6 + 3*l - 2455*l**5 + 112*l**2 + 303*l**5 + 0*l wrt l.\nAnswer: -302520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -1\/84*w**4 - 4*w - 1\/42*w**3 + 0 + 0*w**2. Factor h(a).\nAnswer: -a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-66))\/((-2919)\/(-160545)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242833 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17a + -3?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11 = -2*b, 9 = 3*x + 3*b - 0. Let q(g) = 3*g. Let o be q(-7). Calculate the remainder when o\/28*2*-6 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508 and 38735.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2478, -4926, -7412, -9942, -12522?\n\"Answer: -h**3 - 13*h**2 - 2402*h - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, 5 in increasing order.\nAnswer: 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -675704 or -675706?\nAnswer: -675706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/12 - 19\/114. Let s(l) be the second derivative of 1\/12*l**4 - 7\/2*l**2 + l + h - 3\/2*l**3. What is s(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3549410 divided by 19186\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 + 20*c**2 - 11*c + 23. Calculate j(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 102*w**2 - 9*w - 9. What is the smallest common multiple of g(3) and 294?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 187 - 765. What is the least common multiple of 20 and j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 3*y**3 + y**3)*(3 + 1 - 1 + (3 - 6 + 1)*(2 + 0 - 3) + 6 - 1 - 4).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:28 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/117*21\/28*-1*4?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0*9\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - -45 - ((-1 - 5) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4575000 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:06 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314 divided by 1?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72547537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9736 - -3.9736. Sort -4\/23, 1\/12, 0, q in increasing order.\nAnswer: q, -4\/23, 0, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 120.0000004786. Round k to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613471*d + 32294 = 612989*d for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g)*((0*g + 2*g - g)*(0*g**3 - g**3 - 6*g**3) - 2*g - 2*g**4 + 2*g + 2*g**2 + g**4 - 2*g**2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Suppose -5*k = -3*c - 14, 5*k + m*c - 15 = 13. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + k + 877 - 873, k = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 2*k - 2820 + 2825.\nAnswer: 5*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 3167 + 1390 = 0. Let z = 44 - -111. What is the highest common factor of s and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.165533 nanograms to tonnes.\nAnswer: 0.000000000000000165533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + 27. Let k(b) = -b**2 - 4. Suppose -379 = 3*c - 391. Determine c*w(m) + 27*k(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*v - 124, -4*w + 8*w - 4*v = 100. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {m: 2, w: 7, b: 3, i: 5, n: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 25 = -21*h + 5*a, -5*h = 2*a - 32 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 8*w + 3. Suppose 2*f + 8 = -8. Let z be k(f). Which is the nearest to 1? (a) z (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(1\/4)*v*v)\/v)**(-1\/38)*v**(-1\/9)*v*v*v**8)**(-35))**3 assuming v is positive.\nAnswer: v**(-470645\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55234.\nAnswer: 2, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(-67*n + 1 - 66*n + 130*n) + (5 + 0 - 3)*(0 + 0 + 2*n) + 21 - 21 - 45*n to the form g*n + t and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48049925 by -209825.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqpj when four letters picked without replacement from ttqqptjepp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from {g: 3, c: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25670 and 2461300.\nAnswer: 41842100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 4592773?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203316*s = 1203401*s - 935 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o + 2*o + 3*o + (0*o + 0*o - 2*o)*(-3 + 3 + 2).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(9\/4)*m*((m*m\/(m\/(m\/(m\/(m**(-2\/9)\/m))))*m)\/m*m)\/m*m assuming m is positive.\nAnswer: m**(145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = j - 12, 3*o - 3*j - 2*j + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 18703340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*b = -6*f, 26 = -2*f + 4*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -317, -324, -313, -278, -213, -112, 31?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-1 + 2*b + 1) + 5*b - 2*b - 2*b + 1 - 1 + b + 139 - 61 - 78 + 4658*b to the form v + c*b and give c.\nAnswer: 4662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112980859535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 33 + 39 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3212 by 3114.\nAnswer: -1606\/1557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(3 - 51\/16). Suppose -20 = -3*d + 2*q, 2*d + q - 4*q - 20 = 0. What is the highest common factor of d and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 31.379?\nAnswer: -31.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13516 by 436.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1227 + 824\/3681. Which is the third biggest value? (a) 2 (b) 177\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -505 + 504.5. What is the fourth smallest value in -1, 1.2, 1\/3, f?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 15164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b. Suppose 5*d - 70 = -0*d. Suppose -d = -v - v. Let t be (-183)\/21 - 2\/v. Let k(n) = 7*n. Determine t*h(s) + 4*k(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 263*z - 170. List the prime factors of a(7).\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 + 1. Let i be 1*(2 - (1 - 0)). What is the units digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 9*c + 2. Let r(h) = -3*h**3 - 35*h**2 - 26*h + 3. Calculate the remainder when r(-11) is divided by k(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -369 - -365. Which is the second biggest value? (a) -25 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*z**4\/7 + 96*z**3\/7 - 58*z**2 - 142*z\/7 - 12\/7 = 0. Calculate z.\nAnswer: -3, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x. Let c be p(0). Suppose c*n + 6 = -2*n. Let q(a) = -2*a**2 - 4*a. Calculate q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let h(v) = -8*v**2 + 17*v + 1. Let x(w) = -h(w) + 3*j(w). Let r(d) = -1. Let k(p) = 3*r(p) + x(p). Suppose k(n) = 0. What is n?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 47*o - 41. Let j be d(46). Let a(m) = 8 + 2 + m**2 - 7*m + 0*m. Let n be a(j). What is the second smallest value in -2, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (14\/126)\/((-3)\/45*-2)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23960615 and 14991?\nAnswer: 71881845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 302 - 301. Let a(p) = -6*p**3 - r + 0*p - 1 - 4*p**2 + 4*p. Let d(z) = z**3 + z**2 - z. Determine a(v) + 4*d(v).\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 11. Suppose 4*n - 7 = -3*t, -2 = n - 0. Solve -k - 7 = t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41\/13 + ((-402)\/78 - -5). Let f(s) = -16*s**2 + 6*s**2 + s + 6*s**2 + r*s**2 + 2. Give f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5595 or 74.3?\nAnswer: 74.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = -2*g - 2*g + u, -4*u - 16 = 0. Suppose -4*o + 10*o = g. Do o and 33 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44*38\/(-627))\/((-3)\/((-18)\/(-2)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 195419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 0, 0 = 750*r - 745*r + 3*i + 75 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5815c1c - 1?\nAnswer: -5815c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81305*-5\nAnswer: 406525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5*w**7\/42 - 2*w**4\/3 + 5*w. Find the third derivative of h(p) wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 43 = 5*y, 2*y - 25 = -3*p. Let j be 4\/6*(-27)\/(-6). Suppose j*i = i + 4*c + y, -2*c = 3*i + 4. Solve -5*h + i*h = -20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*17854\nAnswer: -1785.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/23 and -59\/190.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18585\/4956*16\/(-50).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/10069 + -795407\/221518. Calculate the common denominator of 9\/20 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - q. Suppose -2*a - 4 = -6*a. Let y be (a\/((-2)\/8))\/((-5)\/5). Let g be 12\/2 + -2 - y. Give o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 143, 4, 1\/2, -0.4, 0.34, 2\/11, 53?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x)**(2\/25)*x**3*x**(-2\/11)*((x**(-2))**(-29))**(-6\/29) assuming x is positive.\nAnswer: x**(-7597\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.906271201 rounded to two decimal places?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -208*x**2 - 5*x + 158. Let p(d) = 104*d**2 + 2*d - 80. Let q(z) = -5*p(z) - 2*y(z). Differentiate q(h) wrt h.\nAnswer: -208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/263175 and 3\/839?\nAnswer: 220803825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k + 130*k + 152 = 556 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1504*t - 1 + 1 + 1260*t - 155*t. Let c(b) = b. Give j(c(n)).\nAnswer: 2609*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -13. Which is smaller: -2\/17 or j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3. Let x = -2 + 7. Let w(u) = -4. Let n(t) = -1. Let k(r) = -3*n(r) + w(r). Suppose -3 = 2*a - 5. What is a*v(s) + x*k(s)?\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501 a factor of 29611458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -47862134*l + 126718. Let c(s) = 3777*s - 10. Let h(b) = -126718*c(b) - 10*m(b). Let u(t) = 2*t. Give u(h(j)).\nAnswer: 14908*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 3*w + 5 + 2074*w**2 - 2074*w**2 + (-3 + 3 + w)*(-4*w**3 + 4*w**3 + 6*w**3) + w**2 - w**4 - w**2.\nAnswer: 6*w**4 + 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 34, 5, -4, -5, -137, 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/180 and 145\/10692.\nAnswer: 53460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, 2\/3, -2\/7, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 1 + 1)*(y - 4*y + 5*y) + (-183 + 183 - 20*y)*(-4*y**3 - y**3 + 4*y**3) - 10*y**2 - 3*y**4 + 10*y**2.\nAnswer: 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhhhhhhhhhhhhhhhhhr. Give prob of sequence hrr.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221350 - 0.199.\nAnswer: -221350.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.02 rounded to zero decimal places?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*p - 10*p. Suppose 0 = 15*r - 19*r + p. Suppose -3*a = -0*f + r*f - 134, 190 = 4*a - 3*f. Calculate the highest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686 and 6286?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + r)*(4*r + 65*r - 6*r).\nAnswer: -126*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(-2*sqrt(144)) + -4 + -4 + 0)**2.\nAnswer: 4*sqrt(11)\/3 + 9227\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-18))\/(l*l**(4\/11)\/l) assuming l is positive.\nAnswer: l**(-191\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101, 179, 269, 377, 509, 671, 869?\n\"Answer: v**3 + 71*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -35a?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20 + 77 + j - 27 - 30. Let u(k) = 613*k**2. Determine n(u(a)).\nAnswer: 613*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 63 + 54)*(-39 + 39 + 8*a**4).\nAnswer: 856*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 665*g**3 - 333*g**3 - 329*g**3 - g**2 - 10*g**2 in the form k*g + j + d*g**3 + u*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = -6*f. Calculate the smallest common multiple of f and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6009*t + 3514 = -6002*t. What are the prime factors of t?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6616*p**3 - 2*p**2 + 1. Let l be b(1). Let q = -3358 - l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 67*-50.\nAnswer: -3350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuvvu. What is prob of picking 1 w and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o*o*o**4)**45*((o\/(o**(-1\/10)*o))\/o**(-1\/4))\/(o**1)**(2\/57) assuming o is positive.\nAnswer: o**(513359\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 18 + 38 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -408, -5, 0.5, 3, 3543, 1 in increasing order.\nAnswer: -408, -5, -1, 0.5, 1, 3, 3543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -41. Suppose 1409985 = 3*n + 2*j + j, o*n - j = 2350005. What is n rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006187 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -768682629*g. Let a(b) = 2*b**2. What is p(a(y))?\nAnswer: -1537365258*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -6\/5*t**5 + 0*t**4 + 0*t**3 - 8*t + 3 + 0*t**2. Differentiate z(o) wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**1\/f))\/f)**26*f**(-4)\/(f\/(f*f*(f\/(f*(f\/f**(-4\/5))\/f)*f)\/f)))\/(f\/(f**(4\/3)\/f)*f**(-2\/3))**9 assuming f is positive.\nAnswer: f**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 12713.8.\nAnswer: -12713.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 77. Suppose -2*y = 5*i + 55, y + 1 = -2*i - j. Let q be 2 + y\/6 + 3. Which is the smallest value? (a) q (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 2. Suppose 2*m + 3*x = -13, -4*x - 14 = m - x. Let l be v(m). Let k = 1090\/7 - 156. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31742125 - 109690058. Let j = m - -141432382.000081. Let h = -199 + j. What is h rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**3\/3 + 3*y**2\/2 + 5*y - 29. Let i be o(-8). Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/((-503)\/101 - -5) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + (sqrt(2736)*-1 - sqrt(2736)) + 2*sqrt(931))**2 - (sqrt(931) + 0 + sqrt(931) + sqrt(931) + sqrt(19) + 5 + 3)).\nAnswer: -22*sqrt(19) + 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*t**6 + 394*c*t**5 - 30*c*t**2 - 2*t + 15 wrt t?\nAnswer: 360*c*t**3 + 23640*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3\/9 + 82744*o**2\/9 - 2153948*o\/9 + 690400\/3 = 0. Calculate o.\nAnswer: -20712, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-28))\/(3\/(-246)). Solve 3*t + 3*v + 22 = v, -5*v - b = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 9*j - 2. Let f be s(-9). Is -5*(-1 - 7) + f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 6*x. What is the least common multiple of h(5) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + 6*sqrt(14)\/(sqrt(10)\/(sqrt(30)\/sqrt(6))))**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785*x + 4*f + 37 = -786*x, -x = 3*f + 34. Sort x, -9, 5.\nAnswer: x, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1513*g**2. Let m(h) = -3*h**2. Determine b(m(j)).\nAnswer: -13617*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, -1, 76 in decreasing order.\nAnswer: 76, 18, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114\/2179 + 4016\/6537. Solve -u**3 + 1\/3*u**4 + 1\/3*u**2 - v + u = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 324*i*r**4 - i*r**3 + 164*i + 1 wrt r?\nAnswer: 1296*i*r**3 - 3*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-28)*(-6)\/9.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 28*l**2 + 40*l + 64.\nAnswer: -4*(l - 2)*(l + 1)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:13 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 - -1049\/5. Let z = 31 - 36. What is the nearest to 0 in g, 3\/2, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 20*b = -25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.019 or -72830?\nAnswer: -72830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-12)*(-170)\/275 and -55\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 17*i - 16. Is p(-20) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6) + 0)*(-3)\/11. What is the biggest value in p, -1, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2*f. Let u(o) be the third derivative of o**6\/120 + o**4\/24 - o**3\/2 + 3*o**2. Let t be u(0). Calculate x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 676778 and 8?\nAnswer: 2707112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 4:53 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c. Suppose -3*l + 4 = 22. Let y(n) = -n**2 + n. Determine l*y(h) - 3*x(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 916476, 1832995, 2749544, 3666123, 4582732, 5499371?\n\"Answer: 15*u**2 + 916474*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/26)\/((-182)\/(-468)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/504660 and 29\/462605.\nAnswer: 5551260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 22593 = -26025 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*n - 6929 + 6946 = 0, 329 = 37*f + n for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 181*j**2 - 2*j**3 - 202*j**2.\nAnswer: -3*j**3 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 f when four letters picked without replacement from {f: 5, o: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 0, -5 in descending order.\nAnswer: 6, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110100011011 + -110?\nAnswer: -101110100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2205) - sqrt(45))*-6)\/(sqrt(729) - (sqrt(729) + sqrt(729)*-1)).\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 7*y**2 + 6*y - 4. Let u be o(-6). Let s(f) = -4*f + 5. Is 9 a factor of s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) + 96\/36. What is the second derivative of 134*q**4 - 20*q + 133*q**x - 264*q**4 wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26230 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -418. Suppose -2*d + 3*q = -180, -i = -4*d - 5*q + 238. Suppose 4*t = t + d. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -54. Let l = -347 - -1042\/3. What is the closest to l in r, -0.4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -23*l + 707. Let p(o) = -18*o + 710. Calculate 5*p(c) - 4*w(c).\nAnswer: 2*c + 722","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h**3 - 44*h**3 + 79*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -15.6. What is the second biggest value in -4, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 3:05 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/21)\/5 + (-3)\/84.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4 - 2 - 3 + 78*t + 2. What are the prime factors of k(1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/134223 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 369264 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 51 = 2*n - 20, 5*b - 3*n - 381 = 0. Suppose -s + b = -4*h, 0*h = 4*s + 3*h - 281. Suppose 2*q = 5*t - 187, 6*t + 3*q = 4*t + s. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -22?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + t + 6. Let c(u) = -21*u**2 + 9*u + 36. Let a(o) = c(o) - 6*v(o). Let i(k) = k**2 - k. Determine a(h) + 6*i(h).\nAnswer: -3*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = -0. Let p be (-4 - -5)*k*2. Suppose -5*i + 28 = -p. 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: Calculate -1899*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108010792207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i. Suppose -p + 4*p - 5*w + 30 = 0, 0 = -4*p + 4*w - 32. Let a = 17 + p. Let n(m) = m. Determine a*n(k) + g(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3 - 3)*(1 + 2*f - 1) + 3*f**2 + 2*f**2 - 4*f**2 + 23 + 43*f**2 - 18*f**2 - f - 26*f**2.\nAnswer: -2*f**2 - f + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3439?\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 26 = 0. Suppose 2*l + 24 = 4*u - 2, -3*u - 5*l - z = 0. Suppose -6*s + 2 = -u*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3 + 6*a - 2*a + 6*a + 22*a wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.671 + 0.6710001133. What is k rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33.8 or 1?\nAnswer: -33.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 110*g**2 + 2483*g + 15334 = 0. What is g?\nAnswer: -82, -17, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -679*w + 254*w + 3400 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 45, -7 in descending order.\nAnswer: 45, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -73. Let j be (-5)\/30*6\/g. Which is the smallest value? (a) j (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 6*j - 2*j, -u - 2 = 4*j. Let d be 2\/6*j + 2. Suppose 5*f - d - 13 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 82 = -4*d - 2, -105 = 5*d + 22*w for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtnnmnnmnmnmnmrmnm. What is prob of picking 1 t and 1 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*f + 10 = 0, 5*q + 3*f = -6 + 2. Let b be 0\/q - 24\/6*-129. Suppose -g = -7*g + b. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6203 + -6199. Solve 4*n - m*o - 20 = 0, n + 259*o + 1 = 254*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 1984474650.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/25*4\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 33*p**2 + 39*p**2 + 4*p - 91*p**2 - 4*p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1249822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3415606 (base 9) to base 5\nAnswer: -432404332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - i = -40*o - 5, -4*o - 3*i + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-298 - -291) + (-19 - (6 - 3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 84935425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -105\/29, -0.02 in increasing order.\nAnswer: -105\/29, -2, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5271 = 264*j + 1501 - 3435 - 2035 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230132 (base 4) to base 9.\nAnswer: 3812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - d. Suppose d = 4*l + 16, 2*l + 3*l = 4*v - 44. Let i = v - 3. Solve 5*c - 8*x - 40 = -i*x, 0 = -3*c - x + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((208\/88)\/(-13))\/(8\/(-88)). Which is the third biggest value? (a) -0.01 (b) 5 (c) o (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*s - 13, 33*w - 15 = 34*w - 5*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) + -2 - sqrt(1008)))**2 + (-4 + 0 + sqrt(28))**2.\nAnswer: -16*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/22*19*(-6)\/(-114).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 + 3*m**3 + 2*m**3 + (-3 + 9*m**3 + 3)*(4 - 1 + 1) to l*m + t + x*m**3 + v*m**2 and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -29*r**4\/12 - 65*r**2\/2 - 58*r. What is the derivative of b(n) wrt n?\nAnswer: -58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 94*n + 95*n - 1144153, y - n = 228821. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 121 = 3*u. Let d be u\/4*(2 + 0). Let k(a) = -5*a + 7. Let r(w) = -14*w + 20. Calculate d*k(z) - 6*r(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 1150?\nAnswer: -1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a millennium in decades?\nAnswer: 1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/51 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.07 and 3.\nAnswer: 108.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219509 + 403591 = 64*r + 226044. List the prime factors of r.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -197, -196, -195, -194?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 10*z**2 + 7*z**2 - 3*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:16 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*j + 14*j = -660. Let t(u) = -130*u**2 + j*u - 129*u**2 - 8 - 2 + 258*u**2. Give t(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -4, 59, 178, 371?\n\"Answer: 3*k**3 + k**2 + k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353150, -353176, -353218, -353276, -353350, -353440?\nAnswer: -353546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**3 + 17*b - 17. Let r = 1079 + -1130. Let i = 4 + -2. Let q(z) = -i + 0*z + 2*z + z**3 + 0. What is r*q(c) + 6*j(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*n**3 - 5*n**3 + 4*n**3.\nAnswer: -124*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 5, -0.5, -1, 1, -21469?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -274 + 2*d - 14*d + 268. Let s(r) = r**3 + 9*r**2 + 3*r - 35. Let j be s(-8). Let h(z) = -8*z - 4. What is j*c(a) - 8*h(a)?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -0.04. Let i = 0.3 - 1.1. Let s = i + -5.2. Which is the closest to -0.1? (a) s (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 959*y + 995. Is x(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181, -176, -171?\n\"Answer: 5*o - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3755 - 157697\/42. Calculate the common denominator of 13\/141 and q.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 87*d + 870. Let y be v(28). Let j(k) = 3*k**2 + 1. Let n(s) = 10*s**2 + s + 2. Determine y*n(u) - 7*j(u).\nAnswer: -u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85153 - 132*y + 142*y - 85173.\nAnswer: 10*y - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - 3328*d + 1616*d + 1451*d)*(-2*d**2 - 3*d**2 + 7*d**2) to v*d**2 + x*d**3 + n + y*d**4 + j*d and give x.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61744 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*a + 2*a + 22 = 0, -4*g + 36 = 4*a. What is the remainder when 57 is divided by g*(9\/2)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 14. What is the closest to 1 in 1, o, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {i: 12, o: 2, f: 4, m: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1, -0.04, 317?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -2*d + 1173. What are the prime factors of d?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/60 - i**4\/12 + i**3\/3 - i**2 - 13*i. Let n(d) be the first derivative of w(d). Give n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.048 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2806\/4026*-44)\/((-40)\/6)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 909 and 3.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19671\/21 + -3 + 69\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 - -276. Let s be (0 + -1 - 1)*(-34 - -35). Put 3, -5, s, r in ascending order.\nAnswer: -5, s, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*n - 62, -2*l - 5*n + 95 = 3*l. Let t be 5\/(-2)*(-2)\/l. Factor -t*a**3 - 3\/4*a + 1\/4 + 3\/4*a**2.\nAnswer: -(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*r + 27, 3*r = 2*v + r - 18. Calculate the remainder when (60 - 3)*6\/v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + v + 10 = 0, 5*v = 9*x - 5*x - 14. Suppose 4 = x*p - 38. Suppose 0 = 5*b + 17 - p. Sort -1, 5, b, 2 in descending order.\nAnswer: 5, 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 8\/21*i**7 + 0*i**3 + 0*i**5 + 0*i**6 + 3\/2*i**4 + 20*i + 0*i**2 + 0. What is the third derivative of y(m) wrt m?\nAnswer: 960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -31922100?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 6. Suppose p - m = 4*p. Is 9 a factor of p\/((-2)\/18 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 271174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*n**5 - 748*n**4 - 236*n**3 + 748*n**2 + 248*n = 0. Calculate n.\nAnswer: -62, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 4*k - k)*(-k**2 + k**2 + 2*k**2) + 272*k**3 + 98791*k - 98791*k as c*k + d*k**3 + v + x*k**2 and give d.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.014 - -0.31. Let r = 0.3079 - l. Round r to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/7 (b) 3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23144 and 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.2745 rounded to the nearest integer?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + 1684\/6. Let l = w + 5. Suppose -3*s + 635 = -l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6789068 minus -3?\nAnswer: -6789065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 - -488b2?\nAnswer: 48856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 + 3*r - 6. Calculate j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 44*m**4 + 16*m**3 + 4165*m. Let s(k) = k**4 + 3*k**3 + 3*k. Let u(a) = -j(a) + 6*s(a). Find the second derivative of u(z) wrt z.\nAnswer: -456*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u**2 + 4*u**2 + 6*u**3 + 3*u**2 to the form m*u + j*u**2 + t*u**3 + p and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1462, 2100, 3304, 5074?\nAnswer: 7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 8:44 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1))**(-2\/43)*((x**4\/x)\/x)**(-2\/101) assuming x is positive.\nAnswer: x**(-374\/4343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1088) + 5 + 0 - (sqrt(1088) + sqrt(1088)*-1*6)**2*6.\nAnswer: -163195 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 26 - (15 + -61)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-57))\/((-1272)\/(-135514)). Let l = z + 16\/1007. Find the common denominator of l and 23\/2 + 5\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4567775630 to the power of 1\/4, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/8089387?\nAnswer: -2\/8089387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -2\/21 (c) -5 (d) 0.05 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 654367651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - ((-16 - -79) + 7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let p = -0.014 + 0.078. Let f = 0.064 - p. What is the second biggest value in f, 1, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12713 and 4.7.\nAnswer: -0.597511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23577.\nAnswer: 3, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6627552 divided by 186?\nAnswer: -35632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t + 1\/60*t**5 - t**2 + 0 + 1\/6*t**3 + 0*t**4. Is i(9) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9470 divided by 2\nAnswer: 4735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -1.6 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485892 is divided by 318.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 722, 1407, 2088, 2765, 3438, 4107?\nAnswer: 4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 2:50 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3, -2\/9, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 8*g + 7. What is the remainder when (-208)\/8*-2 - -2 is divided by r(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:24 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 8, p: 3, r: 3}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 34, 45, 58, 73, 90?\n\"Answer: m**2 + 6*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 1. Suppose -24*b - 23 = -26*b - 3*s, -11 = b - 3*s. Give x(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c + 62. Let t be a(-11). Let g = 30 - t. Calculate the remainder when 2\/7 - -1*(-1088)\/(-14) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 5*f = 36*q - 34, -2*q + 20*f = -18 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.072702959*0.3\nAnswer: 0.0218108877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-6)\/(-2)))\/((-43)\/43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xbmxuxxuxxxxb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.4. Let a be ((-3)\/(-46))\/((-26)\/169). Let p = -4\/23 - a. What is the biggest value in p, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 37*k**2 + 6*k - 6. Let d be g(1). Let a = 51 - d. Calculate the highest common divisor of a and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 5*w + 7*w - 3*w - 6*w + 2*w - w + (-3*w - 3*w + 0*w)*(0 + 2 - 4) + (-w + 2*w - 3*w)*(-1 - 3 + 1).\nAnswer: 12*w - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnm. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/90 + 4*r**3\/3 - r**2. Let t(f) be the first derivative of c(f). Factor t(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2387 = 5*g - 4*a, 3*g + 3*a = 5*a + 1433. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from ovqvqqthqqv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -14. Let k be (5\/(-2))\/(j\/(-14)). What are the prime factors of k\/((-5)\/2) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**3 - k**2 - 7*k - 6. Give f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 3886252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-109)\/(-436))\/((26\/(-48))\/1)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -a?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:16 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/66)\/(6\/(-9)). Factor 1\/4 + q*c**4 + 0*c**3 - 1\/2*c**2 + 0*c.\nAnswer: (c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3 = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 47*b + 3. Let q be d(-15). Let z = -9 - -17. Suppose -z*f = f - q. Calculate the greatest common factor of 154 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -208. Let k = r - 109.999906. Round k to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*((sqrt(44)\/(sqrt(2)*2))\/sqrt(2) - (((1*sqrt(88) + sqrt(88))\/sqrt(8))**2 - (1 + sqrt(11) + -3))).\nAnswer: -15*sqrt(11)\/2 + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117052 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*v = -5*l - 6, 3*l + 2*v = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3335.7133 - 0.069?\nAnswer: -3335.7823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)*4\/(-12). Suppose x = -2*q - 2*q. Solve q = -m - 2*o - 3*o + 5, 3*m = -o - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2282 + -1540. Suppose x - 2*m + 1 - 12 = 0, 0 = 3*x + 3*m - 6. Suppose -4*j - j - 4*p - 734 = 0, x*j + 2*p = -h. Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142.0748 and 0.4.\nAnswer: -56.82992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2007, -5128, -10329, -17610?\nAnswer: -26971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 13550400*q\/7 + 13550402\/7.\nAnswer: -2*(q - 1)*(q + 6775201)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -21*a**2\/2 + 24*a - 5. Let s be b(-12). Let j = -146 + s. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -51. Let r(v) = 144*v**3 - 5*v**2 - v + 6. Let c(z) = -143*z**3 + 6*z**2 + z - 7. Let m(g) = 5*c(g) + 6*r(g). Is m(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235168133.\nAnswer: 11, 203197103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30773243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 2*l**3\/3 - 5*l**2\/2 - 18*l. Let k be m(2). Suppose 0 = -4*w - 5*b + 23, 2*b - 7 = -5*w + k*b. Solve 0 = -w*p + 4 - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + f**3 + 4)*(-3 + 25 + 0).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -45*o**2. Let g(h) = 249*h. Determine l(g(z)).\nAnswer: -2790045*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 2, o: 1, l: 2, w: 3, d: 2, j: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)\/r)**(2\/21))**(4\/17) assuming r is positive.\nAnswer: r**(-40\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 29. Let z = -25.4 + v. Which is the smallest value? (a) z (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.059, -12, -2\/9, 2\/45, 1\/2 in ascending order.\nAnswer: -12, -2\/9, -0.059, 2\/45, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -9, 4, 3 in decreasing order.\nAnswer: 4, 3, 1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -0.08?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -41, -53, -59, -59?\n\"Answer: 3*z**2 - 27*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - p - 1. Let u be -3*(-1)\/(-3)*-2. Suppose u*b = 4*o + 14, -4*o = -5*o + 5*b - 26. Give m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12197518.\nAnswer: 2, 6098759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10902783, -10902791, -10902799, -10902807, -10902815?\n\"Answer: -8*x - 10902775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8429?\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 110\/3*15\/10. Let u = -54 + x. What is the remainder when u - -2 - (-10 + -29) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8\/7)\/q*q*q**(-1)\/q)**(-44) assuming q is positive.\nAnswer: q**(968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkelklclejllljl. What is prob of sequence kl?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004173 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 39\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 69 - 70 + 139.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 18. Let v = 1 + -3. Sort v, 1, n in descending order.\nAnswer: 1, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 16*n**2 + 16*n - 57. What are the prime factors of a(19)?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1110110110?\nAnswer: -1110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 11*q**2 + 35*q**2 + 2*q**2.\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2061, 0.04, 4\/7, -1 in ascending order.\nAnswer: -1, -2\/2061, 0.04, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158\/465 - -1\/155. Let w = -14.1 + 16.1. Which is the closest to s? (a) w (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from tmtotoott.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.132, 2.1, 3\/4, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672525 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 - 10*c**2 - 12*c + 13. Give y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + x**3 - 6*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -3 - (4 - (18 - (-18 - -72)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*k - 4*k - 5*u, 0 = 5*k + u - 23. Solve -2*s - 2*s + 17 = o, k*o + 11 = 4*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -2*u + 5*t, -2*t = -4*u + 8. Suppose -4*b - u*l + 1088 = 0, 2*b - 9*l + 7*l = 530. List the prime factors of b.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - 8. Sort 4, -2, c.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3)*j)\/j)\/j*(j*j**(-2)\/j)\/j)\/(j*j**(1\/5)*j*(j*(j*j**(-1)*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 236 = 6*q. Let r = 165 - q. Let t = r + -17. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-81)*1)\/(6\/27). Let 2\/3*b**3 - o*b**5 + 0 - 1\/2*b + 1\/3*b**4 - 1\/3*b**2 = 0. What is b?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/1)\/(38\/(-57))*1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - 11*p**4 - 137*p**3 + p**2 + 6170.\nAnswer: 60*p**2 - 264*p - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -41654515 and 268694.\nAnswer: -41385821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 + 704. List the prime factors of i.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 635634 or 635625?\nAnswer: 635634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f + 287 = -27*f + 1655 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 42623643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)\/(-3 - -2). Let j be -18*1*-5*q. Suppose -j = -2*n + 36. Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 3\/8, -22?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1.74.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1062353555 and 19.8?\nAnswer: 1062353574.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010020 + 1022?\nAnswer: -1001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -69d (base 14) to base 12\nAnswer: -917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 140*o**2. Let y(d) be the second derivative of 3*d**4\/4 + 241*d. Give r(y(l)).\nAnswer: 11340*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9500009 + 4 + 4 + 1. What is a rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/11)*i*(i*(i\/((i\/i**5)\/i))\/i)\/i*i)\/(i*i**(-1\/2))**(2\/53) assuming i is positive.\nAnswer: i**(4600\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 3*w**4 + 1 - 3*w**4)*(0 + 3 + 0)*(-2 - 6 + 15)*(2 - 2 + 2).\nAnswer: -42*w**4 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -601*i + 1217. Let x be y(2). Factor -21\/2 - 36*c**2 - x*c**3 - 33*c - 3\/2*c**4.\nAnswer: -3*(c + 1)**3*(c + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2809.45 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 29. Let x = f + -26. Let c = 11 + x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*u + 39864 = -3*u + 310*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 589559.1 minutes?\nAnswer: 35373546000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 930790782 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0 - 1\/120*o**6 - 118*o**2 + 19\/6*o**3 + 1\/2*o**4 + o - 1\/5*o**5. What is k(-13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Solve -1 - j = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -24*r + 17*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, a: 2, g: 2, m: 1, r: 5}. What is prob of sequence grm?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**2. Let z(w) = 11*w**2. Determine z(c(d)).\nAnswer: 1584*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*t + 88*f**2 + f*w - 8*t*w + 8*w wrt f?\nAnswer: 4*f*t + 176*f + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 + -48 - -5) + (1 - 15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 200 = 29*y. Suppose 5*j - 1 = 4*m, -j = -y*m + 2*j + 9. Solve -m*h + 5 + 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + -2 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(-10)*(h*h**(3\/10))\/h**(4\/19) assuming h is positive.\nAnswer: h**(-5493\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-440)\/(-28) + (-6)\/(-21). Let t(a) = 13*a + 699. Let j be t(-23). Calculate the highest common factor of j and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*z + 25 = 0, -3*z = -o - 0 - 20. Let v be 5 + -1 + 3 + -2. Let w be v - 5\/((-15)\/(-9)). Put o, -1, w in decreasing order.\nAnswer: w, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 10. Let b be 64\/z - (-3)\/9. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -557\/5. Let k = -32 + 68. Suppose -k*o - 16 = -32*o. Which is the closest to w? (a) 2 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 2*d - 2*d)*(5497 + 0*d - 5546 + d) in the form b*d**2 + f*d + q and give f.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-1 + 1 - -1). Find the second derivative of -2 + 5*z - 6 + 8 - p*z**2 wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**3 - 12*d - 12. Let t(s) = -s - 1. What is -k(v) + 12*t(v)?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 4*s**2 + 55*s - 47. Is g(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*i + 3801, -4*o - o - 3*i = -4755. Suppose 327 = -19*r + o. Calculate the least common multiple of r and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5006768?\nAnswer: 2, 13, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -42. Let p(d) = -d - 3. Let i(z) = -z - 2. Calculate k*i(n) + 2*p(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1025, -1, 18, -4 in decreasing order.\nAnswer: 1025, 18, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4*u - 249*j**2*u + 25*u - 2 wrt j?\nAnswer: -8*j**3*u - 498*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*y + 20, -4*y + 2*b + 17 - 5 = 0. Suppose 0 = 2*l + h - 32, 5 - 35 = -y*l - 2*h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21275 (base 8) in base 9?\nAnswer: 13171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3.226, 2\/13, -2\/7, 1\/3 in decreasing order.\nAnswer: 3.226, 1\/3, 2\/13, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k - 5 + 71*k - 157*k + 3.\nAnswer: -23*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11019, 11578, 12111, 12606, 13051, 13434, 13743, 13966?\n\"Answer: -2*z**3 - z**2 + 576*z + 10446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.016.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzsszszsssszszs. What is prob of picking 2 s and 1 z?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493195 to the power of 1\/2, to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*g - 0*g - g + 2*g, 37 = 9*v - 22*g for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -28 + 22. Suppose 27 = v*r + 3*h, 23 = -0*r + 2*r + 3*h. Let a be (20\/(-30))\/(r\/6). Which is greater: -3\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-8)\/4)\/((-60)\/40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 78 - 142 + 64.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 101?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3304268\/13 or 254175?\nAnswer: 254175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 14616 = -9*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = o, 0*y + 20 = -2*o - 4*y. Let n be (-4)\/14 - o\/14. Let k(j) = -j**3 - j**2 + j + 12. What is the remainder when k(n) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*m + 10, -10*m + 4 = -3*k - 11*m. Find the common denominator of -33\/14 and k + (-3 - (-752)\/168).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193570.\nAnswer: 2, 3, 5, 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4*((-6557)\/395 + 23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i + 1. Calculate d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -422, -380, -322, -248, -158, -52?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + -86. Suppose -10*k + n*k - 224 = 2*v, 4*k = -v + 236. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.291525 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 - -2. Let l = -11651\/3 + 3844. Let i = l + 39. Which is the closest to -1\/2? (a) i (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**3*x**3 + 264*h**3 - 5*h**2 + h*x**2 + 6*h*x - 2*h - 1220*x**3 wrt h?\nAnswer: 36*h*x**3 + 1584*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**5\/4 + 55*z**4\/16 - 15*z**3 + 10*z**2 + 80*z + 34. Solve f(g) = 0 for g.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o - 81. Let f be p(12). Which is the nearest to -0.1? (a) 2\/9 (b) 1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (7 - 4)) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2*h = 5*u + 28, h - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*r + 17, -4*r - 20 = -2*p + 8. Suppose -3*h + 5*u + 15 = 0, -62 = 3*h - p*h - 4*u. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d9b0d (base 14) in base 2?\nAnswer: -1000001010011001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 22*y - 6. What is s(-10)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcakakrraakakrzzara. What is prob of picking 2 k and 1 a?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let i = 1148\/165 - 78\/11. Let p = -8 + 4. What is the nearest to -2\/5 in p, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 3}. What is prob of picking 1 f and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v)*(-94*v + 21185 - 21185) - 2 + 2 - v**2.\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1044050890 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + 4)**2 + -2.\nAnswer: 33 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57709.3 litres?\nAnswer: 57709300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 7. Let h(l) = 4*l + 1. Suppose -3*q + 5 = 5*m, -2*m - 7 = -4*q + 17. Let s be h(m). Let v = s + 2. Calculate y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/100*32\/3. Let f(b) = -3*b**3 + 17*b**2 + 8*b - 8. Let j(g) = -2*g**3 + 11*g**2 + 5*g - 5. Give h*j(m) - 5*f(m).\nAnswer: -m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 5, -13 in ascending order.\nAnswer: -13, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -44. Is (-2)\/i - (-1)\/(9\/502) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 21 + 10 = 0. Let p = w - -7. Let v = -7516 + 7516. Which is the fourth biggest value? (a) p (b) 2 (c) v (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 40308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*q - 117 = 704*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u + 100. Let x be w(9). Let j = 0 + -1. Let n = j + x. Which is smaller: -2\/11 or n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvhvwyyyvbbbbbvb. What is prob of sequence yhv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 10*k**2 - k + 23. Let i be f(-10). Let t be 1918\/6 - (-11)\/i. Suppose -3*y - 5*d = 2*y - 415, d - t = -4*y. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 5*t - 1361 = 0, 0 = -2*m - t + 919. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 5) in base 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 10*i + 16. Let f be l(11). Sort -6, -4, f in decreasing order.\nAnswer: f, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -56732 and 571?\nAnswer: 57303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -736 and -671238.\nAnswer: -671974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 12. Let d be (-1)\/o*(-660)\/44. Solve d*b - 12 = 9*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266070 rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = -4*o, -8 - 4 = 4*o. Let n be 132\/351 - (-4)\/(-18). Which is the nearest to i? (a) 5 (b) 2\/35 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 80. Is 2\/(n - (-7202)\/(-1801)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/60*(-1)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyp. Give prob of sequence ppy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -163.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -135, -138, -143, -150?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6 - 4\/6)\/(1090\/(-2180))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20160\/104 + 6\/39. Let p = 405 - c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -108, -208, -294, -360, -400, -408, -378, -304?\n\"Answer: n**3 + n**2 - 110*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*t + 25 = 693*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15868 - 4*x + 15868.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.241 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q**4 - 36*q**4 + 19*q**2 - 19*q**2 - 56*q wrt q?\nAnswer: -516*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, a: 1, d: 2, o: 1, h: 1}. Give prob of picking 1 h, 1 d, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460795 - 460788.00066. Let b = -5.6 + -1.4. Let a = b + i. Round a to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 40 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 2*m**3 + 3*m**2\/2 - 10*m + 91. Let u be q(3). What is the greatest common factor of u and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -225*s**2 + 4. Determine t(-1).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528198391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3988 is divided by 190?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1337.4 * -0.1341\nAnswer: -179.34534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 748777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6465 * -0.1\nAnswer: 646.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-1)\/15). Find the common denominator of -3 + 8 + (-51)\/(-10) and 121\/x + 2\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:12 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131.996 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6928*t + 129580458 - 129580458.\nAnswer: 6928*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/3 + 38*u**4\/3 - 89*u**3\/3 - 548*u**2\/3 - 140*u = 0.\nAnswer: -2, -1, 0, 6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, c: 5, p: 2}. Give prob of sequence ycpc.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/10 + (-3)\/(-6). Let w(k) be the third derivative of -k**5\/60 + k**4\/6 + k**3\/3 - 21*k**2. Let h be w(z). Solve 0 = 3*i + h*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -30, -17, 14?\n\"Answer: 9*h**2 - 32*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145 and 55?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 2*f**5\/15 - 74*f**2. Let g(a) = -22*a**2. Determine g(p(k)).\nAnswer: -1408*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 190, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 15*h + 32. Let z(g) = g**2 + 14*g - 32. Let f(o) = -3*i(o) - 2*z(o). Let y be f(-19). Solve 3*d + 4*l = -y, 4*d + 5*l = -10 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/2 (c) 472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2181, 2201, 2247, 2331, 2465, 2661, 2931?\n\"Answer: 2*p**3 + p**2 + 3*p + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.439 + -184.439. Let s = c - -184.000376. Round s to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 6 (c) 1\/2 (d) -0.0553 (e) 168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 - -148. Let z be (5\/(-5*(-2)\/20))\/(-1). Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 100. Let j be s(-19). Solve j = 5*g - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*i = d + 383, 0 = -2*d + 4*i + 226. Let f = -54 + d. Suppose 2*n - 56 = -2*n. Calculate the remainder when f is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 12. Let c be g(-4). Let b be ((-2)\/5 - c)*155. Let h = -27 - b. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/28 + 2\/4. Let x = 8.77 - -0.03. Let y = x - 8.5. Which is the closest to -2\/5? (a) u (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*12474.\nAnswer: -74844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n**2*r**2 - 701*n**2*r + 4*n*r**2 - 143*n - 5*r**2 wrt n.\nAnswer: -18*r**2 - 1402*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9555815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -10*b + 26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**3 - 2*v**2 - v + 5. Let l(n) = -13*n**3 + 3*n**2 + n - 6. Let w(k) = -4*l(k) - 5*y(k). What is the tens digit of w(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 211008?\nAnswer: 211008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*p + 5 + 45, 0 = -g - 2*p - 10. Let f = g + 12. Let z(c) = -c + 13. Determine z(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (9 - (-3 - -8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 - 210*u**2 + 21*u + 6. Let x(c) = -62*c**3 - 1890*c**2 + 182*c + 52. What is 3*x(h) - 26*y(h)?\nAnswer: -4*h**3 - 210*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3*7\/14*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15b0 (base 16) to base 15\nAnswer: 19a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57\/4 + 29\/2. Let b(r) be the second derivative of 9*r - 9\/16*r**4 + a*r**3 + 0*r**2 + 3\/20*r**5 + 0. Factor b(v).\nAnswer: 3*v*(v - 2)*(4*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:52 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*3*4)\/(sqrt(132)\/(1*sqrt(11))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - 6 - (-9 - -19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.9777 days in microseconds?\nAnswer: 46481273280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:23 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 7*z + 14 = 0. Let r(s) = -2 + s**2 + 2*s - 4 + 5*s**2 + 5. Does 9 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31*412\/15965)\/(((-18)\/25)\/(-1))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32000 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let c(y) = -y**2 - 4*y + 3. Let d be c(-5). Let h = 944\/11 + -86. Sort d, h, w.\nAnswer: d, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/920 and 87\/604?\nAnswer: 138920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 10*y + 7. Let w be l(-12). Let s = -15 - w. Find the third derivative of 2*h**2 - 3*h**2 + 8*h**5 + h**2 + h**s wrt h.\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/2 - 34*g**3\/3 - 37*g**2\/2 + 17*g - 13156. Determine s(-16).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 0 + 7\/2*p**2 - 5\/2*p**3 + 1\/2*p**4 - 3\/2*p = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.312084 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-7)\/((-175)\/30)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l*p**2*t*w - 14*l*p**2*t + 12*l*w**3 + 3*p**2*w**3 - 2*t*w**3 + t*w**2 + w**2 wrt w.\nAnswer: 72*l + 18*p**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - z = -2*z + 8, -4*g - 16 = -5*z. Let q = 7 - g. Calculate the greatest common factor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 9*h**2 + h - 4. What is y(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 206946 divided by 1?\nAnswer: 206946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*x - 38 = -3, 0 = -2*m + 2*x. What is the smallest value in 0.1, 86, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q**2. Let y(a) = -15*a + 20. Let o(j) = -j + 2. Suppose 90 = 18*b - 15*b. Let k(i) = b*o(i) - 3*y(i). Calculate k(t(v)).\nAnswer: 270*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 138*j**2 + 138*j**2 + (-32*j**2 + 9*j + 31*j**2 + 2*j - 6*j**2 + 2*j**2 + 2*j**2 + (0 + 0 - 2*j)*(-j + j + j))*(-1 + 5*j**2 + 1).\nAnswer: -26*j**4 + 55*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/30113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 20\/(-6)*3. Let l(j) = -5*j + 0*j + 4*j - m + 0*j. Let p be l(-16). Solve -p*s + 2*s + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1058.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322112 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + -229 + 96 + -2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 856594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-7))\/h*h)\/h*h*h)**(5\/6)\/(((h**(6\/13)*h)\/h)\/h**0) assuming h is positive.\nAnswer: h**(-361\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d**2 + 19*d**3 - 19*d**2 - 12*d**2 - 18*d**3 - 1185*d to the form z*d + k*d**3 + v + h*d**2 and give z.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-5) + (-3806)\/(-1730). Let x(k) be the first derivative of k + 2\/15*k**5 + 11 - 5\/9*k**o - 5\/6*k**2 + 5\/12*k**4. Let x(d) = 0. Calculate d.\nAnswer: -3, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 - 314*y\/13.\nAnswer: -2*y*(y + 157)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1290 and 1129320?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180 = -f - 4*f. Let i = f - 156. Suppose -i = -0*k - 5*k. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (11 + (-41 - -19 - -32)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.09 (b) -0.3 (c) 4 (d) -20 (e) -7 (f) -6 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 49*s = -1224. Suppose -6*k = -s - 6. Calculate the highest common factor of 385 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**3\/r*r))\/(r*r**(2\/5)))**26*(((r**(-1\/4)*r)\/r)\/r)**0\/(r*r**(-5)\/r*r*r**6) assuming r is positive.\nAnswer: r**(-452\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 516\/8 - (-4)\/8. Let u(t) = 2 + 2*t**2 - 2*t - t**2 + 3. Let k be u(4). Calculate the highest common factor of x and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 8. Let v be t(8). Suppose -3*g = -2*g + 2, m + g = 0. Let y = m + v. Solve -y*d = -0*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(20)\/sqrt(10) + (sqrt(288) - (2 + sqrt(288)) - sqrt(2))**2 + sqrt(2).\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4603596 times -0.052\nAnswer: 239386.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 1099818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**33*a*a**(6\/7))\/(a\/((a*a**(-19)\/a)\/a))**(-31) assuming a is positive.\nAnswer: a**(4808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or 2\/9?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -50958 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*a + 166 + 2, -a + p = -54. What is the smallest common multiple of a and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*c + 4*x + 32, -2*x + 12 = 4*c. Suppose -8 = -c*q + 7. Solve 2*v + q*v = 5*r - 5, 3 = v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 59502\/517 + (-2)\/22?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 2*c - 8, 8 = -2*c. Suppose 2 = -4*u - 2. Sort d, u, 1 in descending order.\nAnswer: 1, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112200 + -11?\nAnswer: -112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -28*k**2 + 413*k - 212. What is i(14)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-313)\/2 - (-45)\/18. Let j be i\/132 - (-1)\/2. Let g = 8 + -13. What is the closest to -0.2 in j, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 20221?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 965 + 1204 + 2*j + 451 to the form n*j + h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 3*z**2 + 3*z**2)*(1 - 1 - 2*z) - 5*z**2 - 5*z**4 + 5*z**2.\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 225 = 212. Let r(n) = -2*n**3 + 39*n**2 - 22*n + 61. Let w be r(c). Solve 3*g + 12 = 3*h, w*h + 4*g + 1 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((1\/(-4))\/((-1)\/4)). Is f\/(6\/4)*13380\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51232 (b) -1\/11 (c) 0.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.75 - 14. Let p = h + 0.36. Let s = p + 6.49. What is s rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -3 (c) -0.27 (d) -1 (e) -4 (f) 4 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccdd when four letters picked without replacement from dccd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + 0 + (12 - 8) + -15\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 37*f**3 + 26*f - 1 + 0*f**2 - 25*f - 259*f**3 + f**2. Is m(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7836911?\nAnswer: 19, 59, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4729 - 25.\nAnswer: -4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*b**6 - 103*b**5 - 217*b**2 - 28 wrt b.\nAnswer: 4560*b**3 - 6180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 7*m**2\/6 - 83*m\/6 + 38\/3 = 0.\nAnswer: 1, 76\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: bba (base 14) to base 6\nAnswer: 14424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) -21 (b) 0.04 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/15324 and -113\/1896.\nAnswer: 2421192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 83 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((58512\/207)\/(-106))\/(12\/8).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128270 = 82*z - 689844. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*h + 46 + 16 = 0, 0 = -2*h - 4. Let q be (-26)\/r + (-1 - 2)\/(-21). Solve -2*n - 2 = -2*l, -4*n - l = q*l - 31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 + 13 = 0. Let q be u + 5 + 123 + 2. Suppose q + 384 = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 2, b: 4, t: 6}. Give prob of picking 1 t and 2 b.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 460*d**2 - 11107*d + 93. Calculate w(23).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cclcgxxc. What is prob of picking 1 l, 2 x, and 1 g?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6783, 6758, 6721, 6666, 6587?\n\"Answer: -j**3 - 18*j + 6802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/2*(-3)\/2. Let o = 1689 - 1685. Which is greater: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 148*b - 97*b + 165*b.\nAnswer: 216*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432))**2*5 + sqrt(432) + -4 + (sqrt(432)*-2)**2 + (-6*(-4 + sqrt(432) + sqrt(432)*-1))**2.\nAnswer: 12*sqrt(3) + 4460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 440 (base 6) to base 10\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = 413*g - 114 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -1 + 2 + 2. Let u = -8 + 56. Suppose 0 = -j*p - 3*p + u. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-66) + 16\/12*-1. Let m(c) = 21*c**2 - 4*c. Let p(q) = -21*q**2 + 5*q. Let v(s) = 4*m(s) + 3*p(s). Give v(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*d - 8*d + d)*(-2*d**3 + d**3 + 0*d**3) + 1 - 1 + 9*d**4 as u*d**4 + y*d**2 + a*d**3 + g*d + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 10}. Give prob of picking 2 k and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001233831733 rounded to seven decimal places?\nAnswer: -0.0012338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 243\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29702152 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 7*l = 0. Let t(w) = w**2 - w + 1. Let o be t(l). Let y(u) = -5*u**3 + 1. Calculate y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, -178, -2, -1, 2 in descending order.\nAnswer: 2, -1, -2, -4, -54, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.1525 millimeters to meters.\nAnswer: 0.1891525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2901189 to the power of 1\/2, to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 127 - 56 - 61. Let g be m(3). Suppose 4*z = -3*u + 16, -2*u = -g*u. Solve -7*b = -z*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -4*s - 200 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/((-9072)\/196))\/1.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79.85603 and 2.17.\nAnswer: 82.02603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 8 = -2*v - p, 3*v - 5 = -5*p. Suppose 4*k - 6 = -14. What is the least common multiple of 4 and (12\/(-5))\/(k\/v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 8*l + 1. What are the prime factors of g(5)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x + 12. Let c(a) = -9*a - 8. Let v(f) = 8*c(f) + 5*l(f). What is the smallest common multiple of v(-7) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 75, 61, 31, -21, -101?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378763, -1515158, -3409149, -6060736, -9469919, -13636698?\nAnswer: -18561073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 - (7 + -39 - (-93 + 57))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 1100?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:09 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57222219.\nAnswer: 3, 19074073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 - 4*j**2 + 8*j - 1. List the prime factors of k(4).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from {x: 2, s: 4, b: 2, c: 2, v: 3}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*i**3*p**2 + 15*i**3 + 15*i**2*p**2 - i wrt p.\nAnswer: 98*i**3*p + 30*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*g + 15*g - 31*g. Sort 0.03, 4, g, 1, 0.01 in decreasing order.\nAnswer: 4, 1, 0.03, 0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - -6. Suppose -11*i = -400 - 755. What is the greatest common divisor of l and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/x**(3\/16)*(x**(1\/5))**(-11\/9) assuming x is positive.\nAnswer: x**(3289\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*q = r - 36, 159 = 5*r + q. Let c = 57 - r. Suppose -a + c = -5. Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 28392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.29732 minutes in microseconds?\nAnswer: 437839200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8268 + 12876. Is v a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 6*u**2 + 7*u + 3. Let n be l(7). Which is the closest to 1? (a) n (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/2 + 23*w**2\/2 + 4*w.\nAnswer: -w*(w - 8)*(3*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36599.\nAnswer: 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 7*k**2 - 15*k - 17. Let y be j(-5). Suppose -4258 - 1350 = -y*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 961051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/84*-30*-1)\/((-6080)\/1120)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6810\/(-45)*(379 - (-1 + 5)). Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.31 + 1.31. Which is the closest to s? (a) -0.1 (b) 1\/12 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.55 (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2276, 7 in decreasing order.\nAnswer: 7, 5, 4, -2276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48150, -385266, -1300292, -3082182, -6019890, -10402370, -16518576, -24657462?\n\"Answer: -48159*s**3 - s**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151780*w - 198 + 198.\nAnswer: -151780*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5734782 is divided by 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 13*b - 40. Let z be w(7). Solve -6 = 3*q + 6*o - o, -z*q - 3 = 3*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700) - sqrt(28)\/sqrt(4)*-5) + ((sqrt(700) + 0 + sqrt(700) + 0)*-3)**2.\nAnswer: -15*sqrt(7) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 18*h**2 + 14*h + 45. Let f be g(-18). Let a = -185 - f. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -28*p + 1. Let d(t) = 37*t - 1. Let z(h) = -3*d(h) - 4*w(h). Let i(l) be the third derivative of l**4\/6 - l**3\/2 - 2*l**2. Give 2*i(n) - 7*z(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.18 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -35680962.\nAnswer: -2\/17840481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47899852?\nAnswer: 2, 7, 11, 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2230 - 1444. Does 10 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:00 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 7, z: 7}. What is prob of sequence pl?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.15 + 1.5. Let o = 0.05 + t. Sort o, -0.2, 1\/4 in decreasing order.\nAnswer: o, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z**3 - 23*z**3 + 14*z**3 + (-1 + 1 + 2*z**2)*(-2 + 1 - 2)*(3*z - z + 2*z).\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)*b)\/b**34*b**35\/(b*b\/b**(2\/11)*b))**25 assuming b is positive.\nAnswer: b**(-175\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8538136, -4, -2\/7 in descending order.\nAnswer: 8538136, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*17\/(-51)*186.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3 - 1)*-5. Let k be (-1)\/((5\/2)\/s). Suppose k*j - 5*h - 804 = 0, -5*h = 4*j - 157 - 1421. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 3*d + 7. What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 - 8558*l**2 + 17124*l**2 + l - 8565*l**2 + 68)*(-5 + 0 + 4)*(2 + 3 - 4).\nAnswer: -3*l**4 - l**2 - l - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 13*z**2 + 2. Let b be k(13). Differentiate 2 + 1 + 12*q - 16*q - b wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from bmamapappmmbbasmap?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31006.611ns to hours.\nAnswer: 0.0000000086129475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 85.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 3995\/204)\/(-19*(-5)\/(-8)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 782669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*o - 2*o + 49 = 0, -4*d + 5*o + 171 = 0. Suppose -3*n = -n + 6, -3*y = -4*n - 39. What is the remainder when d is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 2. Let h be z(0). Suppose -h*k + 4 = -18. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1770865 is divided by 1769925.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(-13\/3)\/g)\/g*g)\/(g**17*g))**(-1\/10))**(2\/69))**(-2\/21) assuming g is positive.\nAnswer: g**(-4\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.1109.\nAnswer: 0.1109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -114\/11, -1\/4, 131.3 in decreasing order.\nAnswer: 131.3, 6\/7, -1\/4, -114\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -32. Let x(p) be the first derivative of -2 + 0*p**3 + 0*p + 1\/18*p**b - 1\/9*p**2. Factor x(d).\nAnswer: 2*d*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 5, z: 7, n: 1, u: 2}. Give prob of sequence nz.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2\/5 - 6\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1323.9 + 1263. Let w = -76.2 - -15.2. Let d = w - k. Which is the closest to 0.06? (a) 2\/3 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -20. Let v = j + 44. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001010100001001 (base 2) in base 8?\nAnswer: -612411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 327484089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = 2384 - 2413 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*l + 9, -10*k + l - 21 = 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 84.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 848317841.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96551195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 8*z + 6. Let c be m(-7). Let f(j) = -5*j - 3. Let u be f(-15). What is the highest common divisor of c and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-6 + -3)) + -11 + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(38)\/(sqrt(2) + sqrt(648)\/sqrt(4) + sqrt(2)).\nAnswer: -3 + sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 6, h: 3, m: 4}. What is prob of picking 1 h, 1 m, and 1 w?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1633586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - (sqrt(119)\/(sqrt(7)*-1 - sqrt(7)))**2 - (-1 + sqrt(51)\/sqrt(3))).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-6 - -3)\/3. Let z be (3 - b)\/((-29)\/(-319)). What is the third derivative of 2622*r - 2622*r + 36*r**2 + z*r**4 wrt r?\nAnswer: 528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 3*x + 0*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:28 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:41 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + b. Let n be s(1). Let z(y) be the first derivative of 3*y**2 + y + 1. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144708*q**4 + 14*q**2 - 4051 wrt q?\nAnswer: -3472992*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and 3.29.\nAnswer: 27.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -7, -0.3, -8\/929, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3550061*i. Let k(d) = 9*d**2. Determine k(u(r)).\nAnswer: 113426397933489*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/7 - 574*s**2 - 442728*s\/7 = 0. What is s?\nAnswer: -1892, -117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 3*k**2 - k + 2. Let j be z(2). Suppose 5*h = 1 + j. Put h, -4, -10, 4 in decreasing order.\nAnswer: 4, h, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.95? (a) -2\/51 (b) 34 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*d = -2, d - 3*d = -3*k + 56. Solve 3 = 5*x - k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Let u(z) = z - t*z + z. Let f(m) = 18 + 3*m**2 - 18 - 5*m**2. Give f(u(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/3)\/(2\/(-12)). Solve 3*n - c = 4 - 5, 3*n = 4*c + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Suppose -2*p = 3*p - 10. Solve 3*z + p*l = 25, l + r = 2*z - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/4 + 319*i**2\/4 + 635*i\/4 + 317\/4 = 0. What is i?\nAnswer: -317, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2 + (0 - 1 - 1)*(1 - 3 + 0))*(-x - 8*x + x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 4345 - 4345.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2372447 and 5808.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157183952 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 120*j - 702. Give p(65).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/3, -8, 9, -3.7 in decreasing order.\nAnswer: 9, 2\/3, -1\/2, -3.7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 13803500 to the nearest 100000.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.351210635 rounded to 4 dps?\nAnswer: -0.3512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3*7\/((-140)\/15). Let q = 0.7 - -0.3. Let k = q + -2. Which is the second smallest value? (a) -2 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*o - 34 = -2*i, 4*o = 4*i - 36. Suppose -4*m + 8*d - i*d = -3256, 2*m + 5*d = 1644. List the prime factors of m.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122013332 (base 7) to base 8\nAnswer: -35136741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from xjxxxtxxxbittx?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y + 31546 = 50*y - 2*u, 5*u + 23670 = 3*y. What is the highest common divisor of 83 and y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039301 rounded to 7 dps?\nAnswer: 0.0000393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -312?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -142247160 plus 4?\nAnswer: -142247156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 1 + 1 + (2*a - 2 + 2)*(-2 - 1 + 1) + 5*a + a - 4*a + 0*a - a + 0*a + (4*a - 2*a + 0*a)*(3 + 1 - 3).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 72274*u**2 + 652905246*u + 652977522.\nAnswer: 2*(u - 18069)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (47\/(-4) + 2\/8)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 - j - 6. Let l be g(-6). Suppose -3*r = -2*f + 22, 0 = -2*f - l*r + 5*r + 14. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + n - n + (4 - 2 - 1)*(38*n + 21*n + 138*n))*(-6*n + 5*n - 5*n)*(1 + 2 - 4).\nAnswer: 1206*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*(2 - (-24)\/(-18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11060 divided by -2765?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7095, -14189, -21283, -28377, -35471, -42565?\n\"Answer: -7094*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.5288 and 3068?\nAnswer: -23098.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*i - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -18*p**3 + p**2 - p + 3. Let n(r) = r**2 - r + 1. Let x(f) = -d(f) + 2*n(f). Let g be x(1). Solve 5*v - v - j = -g, -v = -4*j + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:05 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) -0.2 (b) -1\/2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**4\/2 - 2*b**3 + 8*b + 10. Factor z(g).\nAnswer: -2*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1 + (-5 - -2). Suppose j - 6*j + 20 = l. Suppose 0*s + 4 = j*s. Solve 2 = -3*n - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 26. Let q be s(22). Suppose 5*r + 33 + q = 3*a, a = 3*r + 19. Solve -5*x - 30 = 5*k, 2*k - 11 = a*k + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2304)\/(-144)*9\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-30) - 2\/12. Solve 0 = 6*x + 6 - f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + f**2 + 2*f + 3. Let p(v) = -7*v - 40. Let t be p(-6). Let u be d(t). Find the first derivative of 39*n**u - 6 + 25*n**3 - 85*n**3 wrt n.\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100345 divided by 2867.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1006 in increasing order.\nAnswer: 4, 5, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 4*d**3\/3 - 2*d - 2. Differentiate m(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 6, i: 4, l: 6}. Give prob of sequence ll.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8850768 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/240804 and -20\/39?\nAnswer: 3130452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2. Let j(f) = -5*f + 39. Let q be j(7). Let z(i) be the second derivative of -2*i + 0*i**3 + 0 + 1\/12*i**q + 0*i**2. Determine o(z(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 301*a + 19*a**3 + 2*a**2 + 1 + 301*a.\nAnswer: 19*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n**(1\/12))*n)\/((n*n**(-5\/9))\/n))\/(n**(-5\/8)\/(n\/((n*n**15)\/n*n))) assuming n is positive.\nAnswer: n**(-929\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 63 - 2*m + 90.\nAnswer: -2*m + 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -3\/47?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 630.7955 from -470.\nAnswer: -1100.7955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b65b - 34b?\nAnswer: -b9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -824717972332.5120475738029 - -65160779.5120466828029. Let j = 824652813756 + k. Let g = -2203 + j. What is g rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 2*j**3 + 1610*j**2 + 7750*j.\nAnswer: -2*j*(j - 31)*(j + 5)*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*u**4 + 5*u**2 + 1 + 1 - 6 - 165*u**4 in the form x*u**2 + t + k*u + g*u**3 + n*u**4 and give n.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918077122 to the power of 1\/3, to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159.9 + -157.9. Which is smaller: w or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44144.818 rounded to the nearest 10?\nAnswer: -44140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-22) + 6\/22. Let r = 6 - 1. Solve r = -j, 5*z + b*j - 8 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -6)*((-2 - -2) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.415 - -0.715. What is the closest to -9 in 2\/3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2*-1)**2 + (sqrt(15)\/(sqrt(15)\/(sqrt(3) - (sqrt(27) + sqrt(3)))))**2.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f - 17. Let o(v) = -3*v - v - 7 - 2. Let g(r) = 5*o(r) - 3*t(r). What is the units digit of g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {f: 1, s: 2, e: 1, y: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -11343?\nAnswer: 11420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 281 * 2638939.\nAnswer: 741541859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjljjlwllwjw. Give prob of picking 2 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174960714?\nAnswer: 2, 3, 31, 940649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2\/33, -0.2, -4, 0 in increasing order.\nAnswer: -4, -0.2, -2\/33, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100000013?\nAnswer: 827, 120919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.2 (c) -4 (d) 4\/3 (e) -9 (f) -2\/5 (g) -3425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 = -60*p + 66*p, 13 = -3*p - 4*c. Suppose 26 = 3*m - 4. Let u = m - 6. Solve p*y - 4*y = u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498079.\nAnswer: 73, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 639 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + n + n - 110 = 0, 3*n + 22 = m. Suppose 0 = -a + 76 + m. Suppose b - w = 3*w + 9, 10 = 2*w. What is the remainder when a is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11628704 divided by -726794?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97741 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33488 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8)*(0 + 0). Let h(l) = l - 14. Let z be h(a). What is the lowest common multiple of 18 and 344\/28 - (-4)\/z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269148 and 1164.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35784509 is divided by 90?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 948 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 15, x: 5}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -23*o + 129. Let z = -39 + o. Suppose w - 134 = -k, -w = 2*w - z*k - 374. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*x**4 - 915*x**3 + 1310*x**2 + 360*x = 0. What is x?\nAnswer: -4\/17, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -28.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -4, 423599, 6 in descending order.\nAnswer: 423599, 6, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-2 + 0))*1. Let v = -4.03 + 0.03. Suppose 2*z + y = 0, -4*y - 9 + 1 = 0. Which is the closest to z? (a) s (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1720375 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30\/283, -0.3, 0.2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1660*l**3*v**3 - 3*l**3*v - 79*l**3 - 3*l**2*v - 2*l*v**3 wrt v?\nAnswer: -9960*l**3*v - 12*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39183744 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let c be 2\/(-4)*(0 - l). Let r be 13*-1 - (2 - 5). Put r, -3, c in descending order.\nAnswer: c, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 - 4*z + 4. Let n(k) = 10*k**2 - 6*k + 5. Let d(j) = 3*g(j) - 2*n(j). Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttthhcctkcktpcctpk. What is prob of picking 1 p and 3 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295052, -590105, -885158, -1180211?\nAnswer: -1475264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.1229 to 1 decimal place.\nAnswer: -157.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14714 - 1?\nAnswer: 14713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9034733*f**6 + 2*f**2 - 3717678*f.\nAnswer: 1084167960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 10, x: 4, o: 2}. What is prob of picking 2 s and 2 c?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237436 - -5?\nAnswer: -237431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4\/7 + 18*v**3\/7 - 26*v**2\/7 - 18*v\/7 + 4 = 0.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1644 = 4*c + 4*b, -c + 4*b + 834 = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/23, -3\/760, 5, -1, -2\/19?\nAnswer: -3\/760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 - 2*b + 4. Let i be d(-3). Let y be (-54)\/(-7) - 4\/(-14). Is 2*5*y\/i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(77)*2*5)\/sqrt(11).\nAnswer: -2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0215121 to four decimal places.\nAnswer: -0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*p + 4987 = 223 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440808391 a multiple of 1643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 3) + 158\/(-2)*-7. Let t = -287 + o. Let n = t - 156. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 17*h**2 + 4*h + 1. Suppose 5*c = 3*d, -62 + 45 = c - 4*d. Let g(v) = -18*v**2 - 5*v - 2. Calculate c*g(f) + 4*a(f).\nAnswer: 14*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 8:58 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -343422 (base 9) in base 4?\nAnswer: -302101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124968330*f - 72933349.\nAnswer: -124968330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = v - 10, 6*v + 4*g = 3*v + 5. What is the nearest to 0.1 in v, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**2 + 3*o**2 - 8*o**2.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 30336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -47, -3, -44, 14, 2, 4 in increasing order.\nAnswer: -47, -44, -3, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 21*y + 17*y - 513*y**2 + 615*y**2 - 18*y.\nAnswer: 102*y**2 + 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvvv when four letters picked without replacement from {v: 3, u: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 41. Let u(k) = k**2 - 4*k - 4. What is the remainder when t is divided by u(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4636 - -1.53. Let c = 219 + -217. Let j = p - c. Round j to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mte when three letters picked without replacement from {t: 7, e: 8, m: 5}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(sqrt(448) + sqrt(448)*3 + sqrt(448) + -3)*1 + 0.\nAnswer: -23 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 21*g - 26. Solve 4*m + g = -6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 11. Suppose m*z = z + 192. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 0 + g**2 - 4*g**2 + 3 - 5*g**2 as l*g**3 + n*g**2 + t*g + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052 = -332*w + 455 + 15757 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(7))**2*4 - (sqrt(63) + 1) - ((sqrt(196)*1 + sqrt(196))\/sqrt(7) + sqrt(28))\/(sqrt(16)\/sqrt(4)*6)) + 4.\nAnswer: -7*sqrt(7)\/2 + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35855, -35429, -34721, -33731, -32459, -30905?\n\"Answer: 141*p**2 + 3*p - 35999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 816 = 11*b, -3*p + 2*p + 244 = -6*p + 6*b - 205 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10633*a + 10632*a - 21263*a. Let v(g) = -5*g**2 + 2*g + 31. What is v(w(x))?\nAnswer: -20*x**2 + 4*x + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219 - -266) + 2 + -30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y + 3*y)*(-2 + 3*y + 2)*(y + 43 - 41 + y) to the form u + m*y**3 + x*y**2 + l*y and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times 11?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3370 (b) 0.2 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 218324\/11 and 19849 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 98.1706ng?\nAnswer: 0.0000000000000981706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 > 200666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 6, -3, 5, -13, -5 in decreasing order.\nAnswer: 6, 5, -3, -5, -13, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -314072 divided by -8\nAnswer: 39259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 55\/3*b - 1\/3*b**2 = 0. Calculate b.\nAnswer: -60, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -33*t - 4. Give s(-3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z - 753. Let d(x) = -6361*x. Determine d(s(f)).\nAnswer: -44527*f + 4789833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12196 + 12196.08. Which is greater: q or -0.0293?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 0.1. Let q(k) = -k - 1. Let x be q(1). Let z be 3 - x\/(-2) - 1. What is the nearest to z in v, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/15515346 and 127\/251636.\nAnswer: 589583148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.98 - 0.02. Let x = -4.9465 + -0.0535. Which is the nearest to -1? (a) x (b) 0.6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-2107)\/(-4) + -3. Let p = -517 + n. Let l = -4577\/4 - -1150. Find the common denominator of p and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w - 2*p - 18 = -59*w, -23*w = p - 41 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - -0.04. Round p to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 563, 1201, 2097, 3251, 4663?\nAnswer: 6333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**3 + 1740*j - 1 + 2*j**2 - 1738*j + 1 to the form p*j**2 + k*j + q*j**3 + d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -223, -2, 2, -50, -3 in descending order.\nAnswer: 2, -2, -3, -50, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-96))\/((2\/18)\/(5\/(-5)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -3, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:03 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.2 - 29.6. What is the biggest value in -106, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9909.8 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfgfftttff. What is prob of picking 2 t and 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8*-2)\/(1\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t)\/t**(3\/8)*(t**(-11)*t)**(-42) assuming t is positive.\nAnswer: t**(3301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/5 + 3369981*s\/5 + 10109997\/5.\nAnswer: -3*(s + 3)*(2*s - 1123333)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53\/2 + -27. Let v = -17874.1 + 17874. Which is the second smallest value? (a) -3 (b) 5 (c) v (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r - 0. Let n = -44 - -7. Is r*(n\/(-2) + 1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 13*u - 61. Let v(l) = -l**2 - 6*l - 30. Let t(g) = 2*s(g) - 5*v(g). What is the units digit of t(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5*70\/7. Let t be (-34)\/(-66) + h\/24. What is the smallest value in -0.1, 1\/8, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 10, 39, 100, 205, 366?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -921*s - 28. Let g(l) = -3682*l - 126. Calculate -4*g(h) + 18*x(h).\nAnswer: -1850*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibibiwbiibbwbpw. What is prob of picking 1 p and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 76. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 5*w**2 + 7*w - 2. Let k(y) = y**3 + 3*y**2 - 4*y + 1. Let r(v) = 5*k(v) + 3*o(v). Let m = -2 + 4. Let x be (-4)\/(-6) + m\/6. Give r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -4*l - 3*c, -5*l + c = -16. Suppose l*z = -2*z. Suppose 36 = 2*i - z*i. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 3, v: 1, r: 2, o: 4, m: 1}. What is prob of sequence vm?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -6) + (16 - 6). Let k = n - 9. Suppose -3*v + 32 = v. What is the smallest common multiple of k and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -0.7, 4, 9 in descending order.\nAnswer: 11, 9, 4, 1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 10:47 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-364)\/(-65))\/(-14))\/(2\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 122322 = 4*h - 10*u, -4*h = 4*u - 122332. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g + 6*g + 2*g to the form p + j*g and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 102*d**2 - 1187*d - 406. Determine v(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/7 - 8086*f**3\/7 + 1874016*f**2\/7 - 14733576*f - 155131200 = 0. What is f?\nAnswer: -9, 126, 3800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-6) - 2\/(-6). Suppose 2*k + 111 + 86 = i*s, s = k + 40. Let l = -26 + s. Round l to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43862.33 centimeters?\nAnswer: 438.6233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i**3 - 16*i**3 + 21*i**3 - 17*i**3.\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (26\/104)\/((-11)\/324*-3)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 262683962 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-99) - 2051777067\/(-3069) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0, 1\/2, -1\/17, -305, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let x = -4.000046 + r. What is x rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2961 and -0.16.\nAnswer: 2960.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13*q - 4. Let h = -880 + 885. Let b(o) = 7*o - 2. What is h*b(n) - 2*g(n)?\nAnswer: 9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-28) - (-2)\/(-14). Let i = h - -2. Solve i*l + 4 = -0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-80)\/15)*114\/(-5). Which is smaller: 75 or g?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a + 2 + 0 - a**3 + 4*a**2 + 3*a**2 - 1. What is d(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/971860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 0, 12, 11, -5 in increasing order.\nAnswer: -30, -5, 0, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*-6 + -2.\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 7. Let f(x) = -x + 3. Let s(l) = 3*c(l) - 7*f(l). Let b(r) = -8*r**2. Calculate s(b(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*m = -3*m + 51925, -4*m + 4 = 0. Let y = u - 19584. What is y rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1612 - -1610.096. What is r rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 41 = -6. Determine a so that 33*a**3 - 3*a**4 - 40*a + u*a + 21 - 15*a**2 - 12*a**2 + 9 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 4434814.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -9) + -4 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/120 + h**5\/10 + h**4\/12 + 7*h**3\/6 + h**2. Let a be v(6). What is the highest common divisor of a and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -213, -670, -1527, -2910?\n\"Answer: -21*c**3 - 11*c**2 - 3*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/(-6 + 3) - 2. Suppose 0 = -5*k - 8*g + 3*g + m, 5*k + 3*g = 13. Solve -y + o - 1 = -2, 5*o = 4*y - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6348 and 2747097.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-3) + 6\/(-9). Let n = 36 - z. Suppose 5*g - 49 = 11. What is the remainder when n is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4365.64859 + 0.74859. Round s to the nearest ten.\nAnswer: -4360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503480 is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r. Suppose r*k - 3*k + 15 = 0. Let v(u) = 25*u - 4. Is v(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*9\/(-15). Suppose 0 = -4*l + 5*h - 21, -19 = 4*l + 4*h - 7*h. Sort t, l, 2\/9 in increasing order.\nAnswer: l, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227 - 95 + 173)*(0 + 1 + 0)*(0 + j + 0) - j + 3*j + 0*j + (2*j - 2*j - 2*j)*(3 - 1 + 0).\nAnswer: 303*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 15 = 0. Suppose 0*a + 2*g = a - 22, -3*g = 0. Suppose 2*b = -6, o*q - 70 + a = -5*b. Solve -4*y - f = 5 - 16, 3*y - q = -5*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 56\/10)*160\/(-816). Which is the smallest value? (a) l (b) 0.4 (c) 840\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 39 = -3*f, 53*f = 55*f + 4*g - 4. Solve -11*q + 7*q - f = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30178.543082034 - -0.3.\nAnswer: 30178.843082034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4066 - 28517\/7. Let z = -3\/13196 + -129401\/11256188. Let l = z - 28019\/11089. Calculate the common denominator of v and l.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 44 = 4*r + 7*z, 22 = 2*r - 4*z. Let k = -1 - -1. Let o = r + k. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, 3.\nAnswer: -24, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -395*y - 3408. What is m(-8)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122432210 (base 6) to base 2\nAnswer: -1001000010001100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:59 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewewweeeweww. What is prob of picking 1 w and 1 e?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-7 + (1 - -2) - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210931\/185658 + -2\/8439. Let w be 1 + 0 + (-21211)\/10164. Let l = -3\/847 - w. Find the common denominator of l and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**3 + 24*t**2 + 60*t + 28. Let n(z) = 22*z**3 + 49*z**2 + 119*z + 57. Let j(s) = -7*f(s) + 4*n(s). Factor j(h).\nAnswer: 4*(h + 1)*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5411 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -28. Let w(q) = 2*q**2 + 6*q + 4. Let i be w(f). Solve 4*v + 23 = v - 4*z, 2*v - 3*z - 13 = i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269026842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttrreteerretrrrt. Give prob of picking 2 t and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 27*a**2 - 7*a + 13. Let w be y(3). Suppose -2*v - 105 + 293 = -4*j, 5*j = 3*v - w. Let l = j + 68. Calculate the greatest common factor of 84 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3990\/(-4655))\/((-6)\/(-7)*(-3)\/48).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 19.52458\nAnswer: -97.6229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (2 + 2) - (27 + -71) - 5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/113 - 1016\/2147. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -310?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 14. Let g be c(0). Let r = g + 13. Suppose -2*n + 4*l = 6, 2*n + l - 5 = 4. Solve 4*i = -20, -w - 2*i - n*i = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:09 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(11\/5))\/u**(-1))\/(u**(3\/10))**47 assuming u is positive.\nAnswer: u**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -102. Let d(v) = 4*v - 1. Calculate d(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12972.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + 3)**2 + (sqrt(1053) + sqrt(1053)*1)**2.\nAnswer: 6*sqrt(13) + 4234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -31158\/2599?\nAnswer: -31158\/2599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, k: 10, q: 4, j: 1}. Give prob of sequence qqqj.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73190*i*q*r**2 + 253*i*q - 4373*q*r**2 - 1392*q*r wrt i.\nAnswer: 73190*q*r**2 + 253*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04192660686 plus -0.4?\nAnswer: -0.35807339314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from tltwttwtsriir?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7858 + -7854. Let c(s) = s**3 - s**2 - s + 1. Let h(a) = -15*a**3 + 4*a**2 + 5*a - 4. Calculate o*c(t) + h(t).\nAnswer: -11*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 >= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19298, -19084, -18870, -18656, -18442?\nAnswer: -18228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522467 is divided by 579.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/(k*k\/((k\/(((k\/k**(-2))\/k)\/k)*k)\/k*k))*k**(-5\/4)\/(k*k**(-2\/5)))\/((k**(-2)*k)**(-1\/2))**(-9\/7) assuming k is positive.\nAnswer: k**(-309\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12950 is divided by 3201?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - f + 4*f - 6, -c = -2*f + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 166139*f - 354562*f + 170317*f in the form r*f + l and give r.\nAnswer: -18106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 124. What is i(-28)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-9)\/(-60)). Let r(l) = 4*l + 0 - 5 + 3. Let w be r(1). Solve g = -d + 5, -d - h = -3*d + w*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -5*j = 514*q - 513*q - 10. Let -1\/3*r**3 - 16\/3 - 3*r**j - 8*r = 0. What is r?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -481837255 divided by 5?\nAnswer: -96367451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + v. Let b be o(2). Suppose 2*g + r + 4*r = -b, 0 = -g + 4*r + 6. Let n be 6\/2 - g\/(-2). Solve -2*t - n*y + 19 = y, -4*y = -20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131906983 + 131906985.30000067. Let y = -2.3 + z. Round y to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/6)\/5 + (-4 - -4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from lykylayayalaleaaak?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5441 rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 45. Let f be x(10). Suppose -4*s + 212 = 3*w - 5*s, f*s = 4*w - 268. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.63*0.5\nAnswer: -0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 176613.\nAnswer: -17661.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f + 4*d = 97*f + 16, 2*f + 2*d - 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -29, -58, -97, -146, -205, -274?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/5)*d)**(6\/5)*(d**(-8)\/d)\/(d\/(d**0*d*d)))**(1\/3) assuming d is positive.\nAnswer: d**(-104\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16066 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 77 + 226 - 71 + 2*j**3 + j**4 + 11*j**2 - 73 as s + d*j**4 + f*j**3 + y*j**2 + q*j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1200 + -1198. Sort -3\/11, s, -0.2, 0.1 in descending order.\nAnswer: s, 0.1, -0.2, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:19 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*r - 32, g - 2*r + 12 = 2 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 42. Let l be 37\/c*20\/(-52). Let u = -62\/13 - l. Is 0 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -511, -1, -5727.\nAnswer: -5727, -511, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 4, t: 3, w: 2, d: 1}. What is prob of picking 1 w, 1 t, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:44 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = 10. What is the second biggest value in j, -2\/7, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 - 0) - -4. Suppose 0 = i*m + 10*m - 854. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9140268140 rounded to the nearest 1000000?\nAnswer: -9140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 + 362 - 40 = 47*p. Calculate the remainder when 9160 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/6)\/(3\/(-18)). Suppose -4*k = -4*s - f, 6 = 4*s + k + 2. Solve s = 4*r - 9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 9. Let a be r(-7). Let u be (-9)\/(-27)*(-12)\/(-9). Suppose 6*i + 1 = 5*i. What is the closest to i in u, 4, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 26*u**2 + 33*u**2 - 1 + 2 - 2 to p*u**2 + r + w*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 + 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*t + 607 = 132, -t = -4*s - 371. Let m be s\/3 + 2\/3. Let u be (-16)\/20 + (-444)\/m. Calculate the greatest common divisor of 126 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 + 6. Let g(x) be the third derivative of x**6\/120 + x**5\/12 - x**4\/3 - x**3 + x**2. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4150 or -3283?\nAnswer: -4150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 549032*r\/7 + 1098072\/7.\nAnswer: -2*(r - 2)*(r + 274518)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2 - m - 1. Let l(q) = 3*q**3 + 4*q**2 + 5*q + 6. Let a = 2 - 1. Suppose 0 = -15*b + 1746 - 1686. Calculate a*l(d) + b*k(d).\nAnswer: -d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088 take away 2?\nAnswer: -2090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w - w)*(770 + 976 - 146) - 2*w - 3*w + 2*w + w + w - w + 1 + 2*w - 1 + (-1 + 1 - w)*(0 + 4 - 6).\nAnswer: -1598*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 3.8.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - 0.43. Let f = h + 3.5. Which is the nearest to -3? (a) f (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 9) in base 7?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4186 to 2 decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g + 45. Let s(k) = 35*k - 2. Give h(s(f)).\nAnswer: 420*f + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 16*l + 32. Let n be v(-4). Sort 3, -22, n in decreasing order.\nAnswer: 3, n, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149+9247.90215\nAnswer: 9098.90215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -21, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.41 to 1 decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(285\/6))\/(16\/5)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74404 = 574*w + 263*w - w for w.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*k + 2)*(-2*k + 2 - 2) + 43 + 175*k + 3*k**2 - 154*k - 21*k.\nAnswer: -5*k**2 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227875 = -410*b + 1787265. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let j(p) = -75*p**2 - 7*p - 5. Let d(c) = 148*c**2 + 13*c + 9. Let v(g) = -5*d(g) - 9*j(g). Determine k(v(a)).\nAnswer: -130*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.09, 1, 2\/37, 3\/8, 80?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1252777 + 21?\nAnswer: 1253020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158\/139 + 1346\/695. What is the second smallest value in f, -3, -410?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 519. Suppose -2*s - 8 = 0, 1 = 4*u + s - o. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14273731 to 4 dps.\nAnswer: -0.1427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -583066582743491 minus 0.1?\nAnswer: -583066582743491.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144\/5 - 1306\/45. What is the closest to 0.1 in v, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242140140 + 122?\nAnswer: -242140013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1168.487 + 1156. Let b = -0.213 + c. Let u = 12.69999969 + b. What is u rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1478 and 45.\nAnswer: -66510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395261 is divided by 35932.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:33 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4\/14 - (9 - (-122715)\/(-105))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from qwqqvqwqqqvqqqqvqw?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-79534)\/(-57) - -14)*54\/21 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - 30*b**2 - 113*b + 916. Determine m(8).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*g + 110 - 136, -y + 2*y - 3*y + 28 = -g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50301130 and 935?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.7623 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/(-3))\/(3\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b - 354. Suppose -3*w + 653 = 3*z - 5*z, -3*z = 2*w - 418. Let c = b + w. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1)*21\/(-14). Let k = d - -6. Suppose 4*o + 2*x + 20 = 0, -5*x = -2*o - 2*x - 10. Sort k, 0, o.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzszkopsokskz. What is prob of picking 2 z and 1 p?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-14)\/(-231) - (-5605)\/627.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148867985819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4 - 46910*y**3 - 515205*y**2 + 1874060*y - 1311940 = 0?\nAnswer: -9371, -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 48*h. Let u be i(-1). Let m = 6346 - 6468. Let r = u - m. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 11 + 7. What are the prime factors of (-465)\/(-10) - w\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {y: 3, d: 1, r: 1, a: 1, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 65. Suppose 1 + 9 = w + 2*t, 2*t + 20 = u*w. Solve 2*j - q = -1 + w, 5*j - 3*q = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 24899.\nAnswer: -19919.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 390.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -594813847614 + 5\nAnswer: -594813847609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - s**3 + s**3 + (-6*s**2 + 6*s**2 + 4*s**3)*(-5*s**2 + 3*s**2 + s**2).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10683399 is divided by 1149.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 140\/(-21))*6\/(-2). Suppose -i*u + 7*u = -20. Solve 2*n - u = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35575296?\nAnswer: 2, 3, 19, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 71 - ((-7 - 0 - (284 - 299)) + 1 + -6)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439319327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 27*n**2 + 3*n - 65. What is the remainder when d(27) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 17.5. Let w = -0.7 - 0.3. Let m be ((18\/8)\/3)\/3. What is the closest to w in -1, m, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 6*v**3 + v**3 - 2*v**3 - 2*v**3 + 7*v**3 + (2*v**2 - 5*v**2 + 2*v**2)*(v + 1 - 1).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36679+-5480153238\nAnswer: -5480116559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6421960 and 274040?\nAnswer: 1419253160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)*n**4\/n)**20 assuming n is positive.\nAnswer: n**(700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 309140 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4468 and -0.7.\nAnswer: -4468.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-146)\/(-8). Let d be ((-27)\/l)\/(3\/8). Solve -5*z - 20 = -0*p - 3*p, z - d*p + 21 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let b be c(3). Sort 5, -2, b.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16245 divided by -5415?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 0*n - 3*n**2 + 2*n**2 + 0*n - 2 + 8*n. Determine z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/60 + x**4\/8 - x**3\/3 + 2*x. Let p(d) be the second derivative of b(d). What is the first derivative of p(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/204*-3*11?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 0.782937, -1, -2\/15?\nAnswer: 0.782937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/36)\/((-148)\/148))\/((-6)\/(-32)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 - 264 = 2*u + 4*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1190452 times 6.6\nAnswer: -7856983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(2 + 2 - 1)*(c + 0*c + 5*c + (4*c + 2*c - 4*c)*(-4 - 1 - 1))*(-8*c**2 - 12*c**2 + 28*c**2) in the form h*c**3 + i*c**2 + v + p*c and give h.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 9*d + 26. Let y be k(-11). Solve x = -3*p, -y = 2*p + 2*x - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - v. Let k(x) = -x**3 - 2*x**2 - 4*x + 4. Let a(w) = k(w) - 6*q(w). Determine a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2386000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - t**2 + 2*t**2 + 4 + 2*t + 3*t**2. Let c be w(3). Let f be c\/(-8)*4\/(-7). Solve f*g - 1 = -11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59393141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -133a7 (base 15) to base 11\nAnswer: -422a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o**2 - 10*o + 24. Let w(a) = -5*a**2 - 3*a + 8. Let r(p) = 3*h(p) - 10*w(p). Let v(i) = -2*i**2 + 9. What is -3*r(g) - 2*v(g)?\nAnswer: -2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*(20\/(-18))\/2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217261437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816620623 to the nearest integer?\nAnswer: 28577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**3\/3 - 10*o**2 + 39*o - 12. Let u be b(-21). Suppose -5*t + u = -7. Solve 0 = 2*y - 5*x - 15, 5*y = 4*x + t + 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 6134*x + 6. Let w(g) = g**2. Determine i(w(h)).\nAnswer: 4*h**4 + 6134*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/12)\/(2\/(-3)). Let s(z) = -z - 6. Let t be s(-8). Let c be (-2)\/t*-2*1. Calculate the highest common divisor of b and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 3. Let m be w(-30). What is the units digit of 6\/m - ((-9620)\/(-36))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 - n - 1. Let r be h(-1). Find the first derivative of 3 + 2 - r*f**4 + 0*f**4 - 3 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -111, 6.\nAnswer: -111, -12, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvvvklvkkk. Give prob of sequence vlk.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/60 + 5*v**2. Let z(x) = -13*x**2. Calculate y(z(d)).\nAnswer: 169*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 4. Let k be c(2). Suppose k*s + 5 = -r - s, -5*r - 20 = 4*s. Suppose -2*w - 3*w + 50 = r. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*0*(-7 + 6). What is the closest to -2\/25 in r, 3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 6502256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 15*f + 25. Let i = 5536 - 5545. Calculate b(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 1, x: 1, o: 1, a: 2, j: 1}. What is prob of sequence awo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 58. Solve d - 17 = -2*d + 2*f, u*d = 4*f + 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323761\/3*w**3 - 2276\/3*w**2 - 4\/3*w + 0 = 0 for w.\nAnswer: -2\/569, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*h - 16 = 0, -11*h - 6 = -9*h. Solve -2*y = -2*k + 2, -y = v*k - 2*y + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*l - 270 = 0, -2831*l = 16*y - 5663*l + 2831*l - 830 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8077, 32372, 72955, 129898, 203273, 293152, 399607, 522710?\n\"Answer: 12*t**3 + 8072*t**2 - 5*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 8*s - 3. Let o be t(7). Suppose -8*f = -12*f + 48. Solve 3*p + 14 = 5*a, 2*p + f = o*a - 0*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -b + 19413, 2*b - 34607 - 13924 = -5*a. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -19. Let i = -2 - -25. Calculate the highest common factor of p and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-268)\/(-12). Suppose 2*g + g - 5*w = 17, 3*g - 4*w = b. Calculate the remainder when g is divided by (-4 + -1)\/(2 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1001, -1002, -1005, -1010, -1017?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7540?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -177*((-1900)\/(-15))\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 12*k**3 + 657*k**2 + 6198*k + 14280 = 0.\nAnswer: -10, -7, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*u = -0*u - 3, -b + 21 = 4*u. Suppose 0*j - 95 = -b*j. Suppose r - j = -5*i, -10 + 28 = 2*i + 3*r. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 29*j + 11*j)*(-3*j + 4 + 2*j - j).\nAnswer: -68*j**2 + 136*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - ((-20)\/(-30) + (-1592)\/(-6)). Let s = d - -307. What is the greatest common factor of 333 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 6*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1.3\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 275 + -272.79. Let s = j + -0.21. Let o = s + -1.5. Which is the third biggest value? (a) -1\/4 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 14*w + 22. Let o be c(15). Solve -o = 5*b + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(6\/11)\/d*d*d*d)\/(d*d**(-4\/7)))\/(d\/(d*d**0*d*d))**25 assuming d is positive.\nAnswer: d**(4013\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -575*z. Let a(t) = 5*t. What is d(a(n))?\nAnswer: -2875*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246264 and 2604?\nAnswer: 1723848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -347 and 0.042035?\nAnswer: -14.586145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 748\/12 + (-2)\/(-3). Suppose -g = -6*k + k - 57, g = 3*k + y. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2903770 = -4*w + 19*w - 7903445. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11716003 divided by 6\nAnswer: -11716003\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (17757\/306 + -13)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(322\/210)\/(-23).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from krkwkwrrkr?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**3 - k. Let l be m(-1). Let d(f) = 3*f**2 + 9*f + 11. Let y(t) = t**2 + 5*t + 6. Let c(x) = l*y(x) + 6*d(x). Calculate c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u - 1. Suppose 0 = -c - 4*j + 15, -2*c - 3*j = -0*c - 5. Does 13 divide m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150160 rounded to the nearest 1000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 67, 159, 289?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.355 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 10)*(4 - (-115)\/(-20))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83362\/65? (a) 0.4 (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m - 2 + 2*m**4 + 16*m + m**2 - 40*m to the form q*m**4 + p + a*m**2 + b*m + l*m**3 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -16. Let i = 7 - z. Sort 7, -1, i.\nAnswer: -1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 301.7?\nAnswer: 150.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6258751*q**2 - 282373*q - 282373. Let b(s) = -3103*s**2 - 140*s - 140. Let m(c) = -20*a(c) + 40339*b(c). Let v(i) = -3*i. Calculate m(v(h)).\nAnswer: 27927*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3774527*d = -3774523*d + 56 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 16 = 5*q + 6, -14 = 2*z + 3*q. Let g be z\/(-2)*(16 + -10). What is the second derivative of -k - 7*k**5 - 2*k - 3*k + g*k**5 wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46 - 0.06. Let g = 4 + -6. Let a = g + 2.2. What is the closest to -1 in a, o, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16706, 16621, 16442, 16121, 15610, 14861, 13826?\n\"Answer: -8*t**3 + t**2 - 32*t + 16745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24528532 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5394611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3935042451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97926803 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -454*u**3 + 3*u + 4. Let j(b) = -449*b**3 + 3*b + 5. What is -7*i(n) + 6*j(n)?\nAnswer: 484*n**3 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004571 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17067 is divided by 169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (810\/(-40))\/(3\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20959 (base 11) to base 10.\nAnswer: -30435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9921*b**3*g**2 - 278*b**2*g - g**2 wrt b.\nAnswer: 59526*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -29, -49, -69, -89, -109?\n\"Answer: -20*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 13*y + 16. Let q be w(12). What is the second derivative of -q*d + 8*d - 5*d**2 + 9*d**2 wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2188*-0.023\nAnswer: 50.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/7, -16, 3\/5 in descending order.\nAnswer: 3\/5, 2\/7, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.082? (a) -9 (b) -2\/5 (c) -4 (d) 2\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4\/39 (b) 0.4 (c) -49 (d) -0.72 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3)*(-37624)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 9. Let l be n(-11). Let o be 2\/3 + l\/(-3). Let b be (18\/15)\/(o\/(-200)). Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2058 and -3.055995276.\nAnswer: -2061.055995276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/51 and -71\/129.\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12172\/3 + -12611\/3. What is the closest to -1\/2 in o, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -107. Let n(y) = y**3 + 9*y**2 - y - 1. Let u be n(-9). Sort u, t, 4 in decreasing order.\nAnswer: u, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 = 4*h - 63, 70 = 5*p - 5*h. Let j(k) = 10*k - 6. Let m be j(6). What is the greatest common divisor of m and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -315, -1\/8, -0.1, -0.002, 3\/5, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 0.05937043253.\nAnswer: 13.94062956747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g**2 - 13*g**2 + 48 - 12*g - 15*g - 2. Let f be b(-15). Let d(h) = h**2 - h - 1. Let w(k) = 4*k**2 - 5*k. Give f*w(x) - 5*d(x).\nAnswer: -x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + 2 - (-11 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 2*n + 1. Let g(a) = 3*a - 97*a**2 - 106*a**2 + 205*a**2. Give -2*g(o) - 3*u(o).\nAnswer: 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 13*v + 3. Let z be k(13). Suppose -59 = -3*i + 4*w, -z*w = -4*i + 2*w + 80. What is the common denominator of -64\/9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4\/9, 2\/15, 299, -6\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(18) + sqrt(18) - sqrt(18))*6)\/sqrt(9) + -5.\nAnswer: -5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 313907 times -0.3\nAnswer: -94172.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20513.5357 - 20504. What is p rounded to one dp?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, 1\/5, -0.3, 0.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4661*g + 467*g**2 - 995*g**2 + 2038*g**2 + 2055*g**2 + 4660*g as y*g + v*g**2 + u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 2. Let b be o(-6). Solve 2*m + b = -0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -52. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(1331) - sqrt(1331))*-5)**2 - -5*sqrt(121)\/sqrt(11)*-6)*3.\nAnswer: -90*sqrt(11) + 2495625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let m be 21\/6 - 1\/w. Solve -2*y + m = 3*c, 2*c - 5 = -3*y - 3*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 31*k + 12096. What is the highest common divisor of k and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*n + 3*g + 27 = -541*n, -2*n = 2*g + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2*(-18)\/(-30))\/(40\/(-50)). Which is the nearest to 1? (a) -1\/7 (b) 24 (c) 1\/10 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -3\/2*k**3 - 20*k - 11\/2*k**2 + 0. What is the first derivative of p(n) wrt n?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 - -158. What is the remainder when 6 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 11*i - 7. Let x be r(10). Suppose -k = -g + 5, -k - x*g + 7 = 2*g. Let b = k + 7. Calculate the highest common divisor of 44 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l - 3. Let q(r) = -r**3 - 2*r + 2. Suppose -3*m + 9 = -2*t, 0 = 5*m + 4*t - 5 - 10. Suppose -m*w + 3 = -6. Determine w*q(z) + 2*v(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**3\/2 + 24*o. Let q(g) = 14*g. Let i(k) = -9*k. Let v(t) = -8*i(t) - 5*q(t). What is c(v(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/51 and 127\/11280.\nAnswer: 191760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 71*m**3\/6 + 2*m**2 - 11*m. Let r be j(1). Let o = r - 26. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 78.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:59 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 1 = g - 3*w, 0 = 3*g + 3*w - 3. List the prime factors of 21 - (0\/g - 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let l = 0.005 - 0.405. What is the smallest value in m, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477821833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 704647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239*o + 20 = 1238*o - 8*x, -o + 3*o = 5*x + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 11*u - 11*u)*(-u**2 + 0*u**2 + 3*u**2) as l*u + r + g*u**2 + m*u**3 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 7. Let j be d(0). Suppose 72 = j*h - 4*h. Calculate the lowest common multiple of 11 and h.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 227262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(0\/1)\/(-2). Let j be (-7 + 1)\/(2\/(-1)). Solve o*l - j = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -7)\/(4\/2794) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8006 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -467, -34, 4\/5, -0.1, 0.5, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2\/3 + 49027472*s\/3 = 0 for s.\nAnswer: -12256868, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3996, 8012, 12014, 15996, 19952, 23876?\nAnswer: 27762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(5\/9))**10\/((j*j\/j**(1\/5))\/(j\/(j\/(j\/(j*j\/j**(-2)))))) assuming j is positive.\nAnswer: j**(484\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:49 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.15 and 0.15272555.\nAnswer: 0.00272555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 12. Suppose 5*s = 4*h - 0*s - 57, -2*h + 24 = 2*s. Let n(t) = t + h - 12 - 12. What is n(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1117 take away 25.5?\nAnswer: -1142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 17. Let k(w) = w**2 - 13*w + 17. Let p be k(v). Let o(g) = -3*g**2 + 15*g + 2. Let j be o(p). Solve -j*q - q + 9 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 1177*m**5\/30 - m**4\/6 - 53*m**3\/6 + 2748*m**2. Find the second derivative of r(p) wrt p.\nAnswer: 4708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -x - 5*h, -3*h - 21 = -8*h + 59 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 24*g - 3*g + 6*g.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - (-2 + (-2 - -5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9099, -36347, -81749, -145305, -227015, -326879?\nAnswer: -444897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121712840 and 4584?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 15, -5*z = -2*w + 4 - 11. Suppose 2*b = w*b. Solve b = -8*l - 0*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/((-1470)\/28))\/((-6)\/(-4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3906 + 3949. Calculate the highest common factor of l and 4042.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 5*l - 13*l)*(-36220 - 209*l**2 + 36220).\nAnswer: 2508*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 0.1. Which is the third biggest value? (a) q (b) -2 (c) -0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645035 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 40, -105, -5, -1, -56, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130825*k**2 + 130827*k**2 - 1588 - 13158 to h*k + w + v*k**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14946 + 15025 - (1 + 23)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66\/99)\/(-2 + (-794)\/(-396)). Let s be (-1 - (-2)\/1)*6. Suppose 20 = -f + s*f, -2*b + m = 2*f. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 25*y + 12. Let d be q(-8). Suppose 0 = -5*v - d*f + 1312 - 21, 3*f + 3 = 0. What are the prime factors of v?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6778847 to 2 dps.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 2*(sqrt(1900) + -1) + -4 + -1 + sqrt(1900) + -6*(0 + sqrt(19))**2).\nAnswer: -30*sqrt(19) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 80*f - 28 = 81*f, 9*f - 48 = 5*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 433827381 to the power of 1\/2, to the nearest integer?\nAnswer: 20829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3032.58 to the nearest ten.\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15169, -15301, -15513, -15805, -16177, -16629, -17161?\nAnswer: -17773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*n + 20. Suppose -12*t = -17*t + 20. Suppose -4*y = -9*y. Solve t*z + n + y = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 6)*19*53. Let h = x - 1221. What is h rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115517089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3363, -26816, -90449, -214356, -418631, -723368, -1148661, -1714604?\nAnswer: -2441291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25175 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 17*b + 1458. Does 81 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) - (-230)\/40. Suppose -p - j = -3*h + 45, -2*p = -6. Calculate the smallest common multiple of h and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - 0 - (-1 - 125) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -59*j + 31*j + 29*j. Let i be 4\/3*12\/8. Let l(x) = x**2 - 3*x**i + 0*x + 0*x. Calculate l(u(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1368 and 1804392.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-15)*1 - 21\/(-5). What is the smallest common multiple of (96\/q)\/6 - (-8 - 0) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2355 - 2345. Solve -4*l - 4*f = -6*f - 4, -5*f = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 + 56*a**2 + 17*a - 36*a**3 - 37*a**2 - 16*a.\nAnswer: -36*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 38\/4 - -6)\/(-3).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -334*i**4 - 213?\nAnswer: -1336*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3670.67 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l - 4. Suppose -4 = 2*w - 12. Let a(b) = w*b + 2*b - 3 + 2*b - 3*b. Let q(v) = 5*a(v) - 4*i(v). Give q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) 5 (c) -0.1 (d) 21\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143586.\nAnswer: 2, 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 17213126.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37832912953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9.39 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6 - 2) + -12 - (72 - 81 - -80).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/((-25410)\/140)*(-1562)\/(-6))\/(2\/3)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 8, m: 2, q: 1, c: 5}. What is prob of picking 1 c and 1 o?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h - 11. What is b(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 10. Let q be x(4). Suppose m - q = -3*v + 3*m, -v = 3*m + 9. Solve v*n - n - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 1bd9?\nAnswer: -1bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 183595498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272318832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 11*u**2 - 13*u + 34. Let d be f(10). Solve i - 3*i = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5))**(2\/21)\/(m*(((m\/m**(-10))\/m)\/m)\/m*m**(1\/4)) assuming m is positive.\nAnswer: m**(-3893\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - (0 - (0 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 44. Let a(j) = -j**2 - 7*j - 7. Let b be a(-2). Let h be (9\/(-2))\/(27\/(-180)) + b. What is the greatest common divisor of g and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 23*s**2 - 23*s - 22. Determine u(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*z - 23. Let i = 27 + -26.9. What is the closest to 2 in 0.4, z, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8065 + -112865\/14. Find the common denominator of u and -69\/3572.\nAnswer: 25004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*j = -723*j + 70008 - 9528 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.72 rounded to the nearest integer?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -5, 100\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 29895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*sqrt(84)*2)\/(sqrt(120)\/(sqrt(40)\/sqrt(4))) + 0)**2 + -3.\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30644.87l?\nAnswer: 30644870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1726 times -4916\nAnswer: -8485016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1523, -14262, -38219, -73394, -119787?\n\"Answer: -5609*h**2 + 4088*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/5 + (-8)\/20. Suppose 3*m + 15 = 5*v - 6, 3*v - 9 = w*m. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170701992 rounded to 5 decimal places?\nAnswer: 0.1707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196597?\nAnswer: 196597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q + 5*j + 9, 2*q + 6 = j. Let y = q - -6. Suppose 5*r = -y*p + 266, 0*r - 78 = -p + r. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 28, 75, 158, 289, 480, 743?\n\"Answer: 2*t**3 + 9*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 562 + -560. Suppose -5*y = 3*z - 2543, -x*z + 2*y = 4*y - 1698. Calculate the highest common factor of z and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 38\/3) + 17*(-4)\/204.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -701, 85, -5, 5, 3 in descending order.\nAnswer: 108, 85, 5, 3, -5, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 673 - -10369. List the prime factors of q.\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010010000 (base 2) in base 3?\nAnswer: -110211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6705*a + 2 - 2 - 5376*a)*(-4 + 0 + 0) as b + r*a and give r.\nAnswer: -5316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 33*q - 57. Let k be a(-31). Solve -15 = g + 5*v, g + 18 = -4*v + k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 136076*k\/5 - 544272\/5.\nAnswer: -2*(k - 68034)*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18 and -51\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 9, 27, 53, 87, 129?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)\/h)\/h*h*h**(-20)*h**(-3\/8)\/(h\/h**(-20)*h*h) assuming h is positive.\nAnswer: h**(-349\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -1\/3, 4, 64, 1\/2, -2\/7 in descending order.\nAnswer: 90, 64, 4, 1\/2, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.132619 + -0.53.\nAnswer: -0.397381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*y + y - 29*y + 81*y + 0*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -636 + 644. Calculate the greatest common factor of n and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21.32 and -17.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 2*q**2 + 1281*q - 10468. What is s(8)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-2)\/((-12)\/(-609)). Suppose -3*w - z = y, w - y = y - 70. Let q = w + 80. Which is the second smallest value? (a) q (b) -3 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 25. Let l be 420085\/(-48) - k\/(-24). Let j = 8758 + l. Calculate the common denominator of -29\/8 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 484*m**3 - 24*m**2 - 11*m. Let d(j) = 486*j**3 - 25*j**2 - 12*j. Let q(o) = 3*d(o) - 4*s(o). Find the third derivative of q(u) wrt u.\nAnswer: -2868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.06, -5, 2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 bigger than -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) 0.3 (b) -2 (c) -0.3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + -1.4. What is the third biggest value in a, 2\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = -276 + 371 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -7. Is 1045\/45 + b\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + r**3 - 3)*(1061*r - 1631*r - 223*r - 1970*r) in the form x*r**2 + p*r**3 + f*r + k + b*r**4 and give b.\nAnswer: -2763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - x - 15 = -5*y, 15 = 5*y + 2*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 - 15*o - 35. Let x be q(-8). Let j be 1\/3 - x\/600. Suppose 0 = i - c + 5*c - 8, 2*i = -4*c + 8. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5174, -6656, -9136, -12620, -17114, -22624, -29156?\n\"Answer: -t**3 - 493*t**2 + 4*t - 4684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3343.\nAnswer: -2\/3343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/105)\/(124\/60 + -2). What is the second smallest value in -373, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162380 divided by 32476?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -67370\nAnswer: 875810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16287.\nAnswer: 3, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 x when three letters picked without replacement from {x: 2, m: 1, w: 2, o: 1, d: 1, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 62*h**2 - 3*h - 1. Let w(u) = u**2 + 8*u - 11. Let m be w(-9). Is y(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21820 - 21832. Sort 3, 4, w, 14 in descending order.\nAnswer: 14, 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 107680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 h when three letters picked without replacement from {e: 1, x: 3, p: 3, h: 2, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-2) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 5\/82 (c) 2\/5263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*v + 145 + 1989 = 21*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyjyyfjypy. What is prob of sequence jp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:46 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**2\/3 + 312*j + 940\/3 = 0?\nAnswer: -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86024*c**3 - 254783*c**2.\nAnswer: 516144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:17 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78.8803 and 0.123.\nAnswer: 9.7022769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 - a - 1. Let v(g) = 6*g**3 - 2*g - 3. Let b(z) = 5*p(z) - v(z). Let o be b(4). Solve o*m - 2 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/20)\/(12*(-2)\/24)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16512\/144*(-9)\/(-6). Calculate the greatest common factor of k and 1333.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - -8. Let f = b - 26. What is the tens digit of f*12\/(-16)*56\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*v**2*x + 7*r*v**2 - r*x + 2*r + 5*v**2*x - 5*x wrt v.\nAnswer: -4*r*v*x + 14*r*v + 10*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y - 11. Let l be a(6). Let s = 65 - l. Let h be (-138)\/180 - s\/3. Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j. Let o(f) be the first derivative of 1\/3*f**3 - 1\/2*f**2 + 0*f - 4. Determine 2*o(q) - y(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.35 - -1.75. What is the third biggest value in 29, n, 4, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*d - 40, 0*y + y - 4*d = -4. Let n = y - 13. Let t(o) = -3*o - 1. Calculate t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1833.76 - -1831.4. Which is the closest to x? (a) 2 (b) -0.3 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 - 460104*j**3 + 17640387309*j**2 + 70571211732*j - 88211138940 = 0. Calculate j.\nAnswer: -5, 1, 76686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*l + 71. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3411423*m - 567327 with respect to m.\nAnswer: -3411423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 2*b**3 + 2 - 5*b**2 - 3*b**3)*(-247 - 54*b + 247).\nAnswer: 54*b**4 + 108*b**3 - 108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/67, -0.3, -7\/6, 0.1 in descending order.\nAnswer: 7, 0.1, -1\/67, -0.3, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:41 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m. Let k(u) = -16*u + 12*u - 12*u. Determine k(a(t)).\nAnswer: -96*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:22 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -4 + (-4)\/(-14))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 - 112*x + 8. Let c be q(-21). Suppose -156*a + 12 = -c*a. Calculate the least common multiple of a and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493024792 to the power of 1\/2, to the nearest integer?\nAnswer: 22204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*r + 64, 0*r + 5*t = -4*r + 76. Suppose -38 = -2*l - 4*v, -2*l - l + 5*v = -r. Solve o + 3*w - 17 = 0, -4*o + 0*w + l = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 11 - -12) + -1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 130261049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 5*u + 1. Let o be m(-5). Suppose -z = -14 - 5. What is the greatest common factor of z and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 13*v + 2*v)*(4 + 10 - 3) - 1 - 2*v + v + 0 as b + j*v and give j.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 24*q - 21*q + 118*q**2 - 1 as b*q**2 + m + o*q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 12, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8297 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.422025 to three dps.\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(2*x - 4*x + 3*x)*(-3 - 2 + 3) + 746*x - 609*x + 1112*x to the form f*x + t and give f.\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*s - 38 + 87 + 109*s - 46.\nAnswer: 305*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-92)\/8)\/(2\/(-48)). Let d = k - 4229. Let h = d + 106663\/27. Find the common denominator of -169\/30 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1642 and 107171698.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + -2 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 474 - 471. Suppose -1362 = 13*j + u. Round j to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 11*o**2 + 15*o**2)*(4*o + 4*o - o) + (-1 + 1 + o)*(-3*o**2 + 2*o - 2*o) to a*o**2 + j*o + c + n*o**3 and give n.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3254 (base 9) to base 10.\nAnswer: -2398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11567 + 32433. What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at most as big as 619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, n: 1, t: 4, j: 1, y: 3}. What is prob of sequence ytyf?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 899 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(-23)\/138*-5*5356\/(-65).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795464829 to the power of 1\/4, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - sqrt(180)*4)\/sqrt(4))\/((sqrt(108)*3 + sqrt(108))\/sqrt(12)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 7131688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158953 - 158898.9502. Let d = m - 54. Let l = -0.05 + d. What is l rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256927876*r**4 + 91*r - 1154283?\nAnswer: -3083134512*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 6*o - 4*o. Calculate the common denominator of -1 + 345\/(-36) - -2 and (-335)\/o - 4\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113011 (base 5) in base 2?\nAnswer: -1000101000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 158, 155, 152, 149, 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95623 - 33659365\/352. Find the common denominator of p and 127\/6.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44888699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1850, 1862, 1886, 1928, 1994, 2090?\n\"Answer: j**3 + 5*j + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 4}. Give prob of picking 2 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 31*z**2 + 1324*z - 20808. What is g(19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 169356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:50 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5 + 105*k**4 - 7225*k**3 + 64575*k**2 - 106180*k - 178080 = 0. Calculate k.\nAnswer: -53, -1, 4, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*h + 789*h - 107*h = -508*h + 45632 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/558057 and 119\/30.\nAnswer: 5580570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -50, -75, -98, -119?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7626 and 924591?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1) + (-70)\/(-7). Let v(i) = -3*i**3 - 3*i**2 - 3*i - 2. Let a be v(-4). What is the greatest common factor of a and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 22306666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tata when four letters picked without replacement from {t: 4, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 17*m - 1188 = 0. Solve 5*n - 3*g - m = 0, 3*g = -3*n + 7*g + 25 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5373*h**3*u - 41514*h**3 - 12*h**2 - 1991258*h*u - 2*u wrt h.\nAnswer: -32238*u - 249084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56067724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(325) + sqrt(13) + -3*sqrt(1300).\nAnswer: -24*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 156?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 188, 388, 592, 800?\n\"Answer: 2*v**2 + 194*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9955894721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -108*i. Let z(h) = 3*h + 192. Let f(y) = y + 32. Let a(x) = -30*f(x) + 5*z(x). What is a(v(k))?\nAnswer: 1620*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 66?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24498 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 2. Let p(d) = 3*d + 1. Let s be p(1). Suppose 0 = -38*m + 87 + 179. Suppose s*n + m = -1. Calculate z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d**12 assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, h: 4}. Give prob of picking 1 d and 1 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 76, 8\/3, -0.05, -3, 215?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*r**2 + 33*r**2 + 27*r**2 + 36*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 + 8*f + 17. Let w be h(-5). Suppose w*p + 171 = 179. Let y be -22*(-1 - -1 - 2). Calculate the greatest common divisor of p and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 51. Let b(i) = i**2. Calculate f(b(a)).\nAnswer: -a**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z - 3*l + 3, -4*l + 28 = 5*z. Suppose 3*o - 10 = 26. Suppose -5*y - 2 + o = 0. Calculate the greatest common divisor of y and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -29. Let c(r) = -5*r**3 - 6*r**2 + 6*r - 6. Let x(z) = -9*z**3 - 11*z**2 + 11*z - 11. Determine s*c(p) - 6*x(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 10) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 24. Let d(c) = 99*c + 6756. Let w be d(-68). Factor i*t - 3\/2*t**2 - w.\nAnswer: -3*(t - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*a - 18, 4*a = a - 4*z - 14. Let i(r) be the second derivative of -1\/80*r**5 + 0*r**3 + 1\/120*r**6 + 2*r + 0*r**4 + 0*r**a + 0. Factor i(v).\nAnswer: v**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 4. Let m be l(-2). Let f = -198141 + 198136. Put f, 1, m in increasing order.\nAnswer: f, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 70 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 5*p - 4. Let w be z(-6). Determine h, given that 18\/7*h - 4\/7 - w*h**2 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-311 - -382) + -2 + 11\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g. Let p be v(2). Suppose -5*b + 4*z + 100 = 0, -36 = -2*b + 4*z + 4. Suppose -2*x = -p*x - b. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {z: 2, y: 4, q: 2, x: 1, t: 9, b: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 542*q**3 - q**2 + 5*q + 199*q**3 - 5*q**2 + 2.\nAnswer: 741*q**3 - 5*q**2 + 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 297*j**2 - 145*j + 1128. Determine z(-149).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 122 - 187 = 183 - 147 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 0)*(3 + 2 - 6)*(-12776 + 179*m + 12776).\nAnswer: 1611*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 592835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -320, -1304, -2944, -5240?\n\"Answer: -328*u**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2 - 3 - c + 3*c - c. Let w be x(5). Determine o so that o**2 + 2*o**4 - o**w + 0*o**2 - 2*o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {v: 15, g: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -103*g**2. Let v(r) = -3*r + 136. What is v(p(b))?\nAnswer: 309*b**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 + 3*a - 2. Let v be (-8)\/(-12) - (-73)\/3. Suppose -d = 4*d - v. What is the remainder when i(1) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1320 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Let o be (-2)\/u - 1*-11. Solve 3*v - 4 = 4*j - 0, 0 = -4*v + 3*j + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by -1*(-2)\/(-10) - 605\/(-25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5323080 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - 402. Let g(s) = 63*s - 1. What is g(w(d))?\nAnswer: -189*d**2 - 25327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*a + 9 = 0, a = 2*g - 3*a + 6. Let f be (-4 + -1)*(-2)\/5. Let i(l) = l**3 - l**2 - 3*l. Let d(c) = -c. Calculate f*d(m) + g*i(m).\nAnswer: -m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 542 (b) -3\/154 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, 5, -2 in increasing order.\nAnswer: -13, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 15 + 1 - 4 + (2*g - 3*g - g)*(0 - 4 - 14).\nAnswer: 35*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i + 6. Suppose 5*t - 5*l = 90, t + 3*l + 69 = i*t. Solve 3*g + 0 - t = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*a - 2*k, 5*k + 140 = -17*a + 254 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 22*g + 61. Calculate a(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 73794*p**3 + 73806*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/48*4)\/((200\/(-35))\/(-10))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/6 - 114*m**4 - 66203*m**3\/3 - 858416*m**2 - 14494825*m\/6 + 193139858 = 0?\nAnswer: -317, -31, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48919, 48702, 48349, 47860, 47235, 46474, 45577?\nAnswer: 44544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 18*q - 16*q + 52*q = 26 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/9)\/x)\/x*x)**(4\/3))**(2\/11)*(((x\/(x**(-2)*x*x))\/x)\/x**(4\/9))**(-2\/69) assuming x is positive.\nAnswer: x**(-400\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 650*z + 13816.\nAnswer: (z - 628)*(z - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11223835689 - 0.2.\nAnswer: 11223835688.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1292 - 1286. Which is the nearest to -1? (a) -3 (b) u (c) 3 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-18))\/((-15)\/162)*588\/(-252)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267576 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjekdtmj. What is prob of picking 1 d and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/21 + 1082*p**4\/3 + 15166*p**3\/21 - 12626*p**2\/7 - 15156*p\/7 = 0. What is p?\nAnswer: -3, -1, 0, 2, 3789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((4\/(-14))\/(53\/(15211\/(-410)))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3 - -1) + 7. Let u(b) = -b + 8. Let f be u(0). Suppose -12 - f = -j*k. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 6*h. Let u be (h - (-9 + 1))\/2. Solve 7 = -u*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 - 3*y**2 - y - 3. Let l(p) = p**3 + p**2 + 1. Let r(f) = 2*g(f) + 5*l(f). Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2. Let w = 298 - 214. Let p(i) = 84*i + w*i - 203*i. Give y(p(l)).\nAnswer: 3675*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63902, -255607, -575116, -1022429, -1597546, -2300467, -3131192?\nAnswer: -4089721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i + 5. Let y be q(4). Let j be (4\/5)\/((-10)\/y). Let h be -2 + 2 + (3 - 6). Is h equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619280119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137605 is divided by 800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 2*z + 21*w - 474, -w = 3*z - 739. Which is greater: 2204\/9 or z?\nAnswer: 2204\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37496, 149917, 337278, 599579, 936820, 1349001, 1836122?\nAnswer: 2398183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31600813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 9*a**2 + 11*a + 2. Let m be b(-10). Let q = -4 - m. List the prime factors of (3\/q)\/(5\/100).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15148*d**3 - 44823 wrt d.\nAnswer: 45444*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 55 (c) 8 (d) 1\/4 (e) 3 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -50 and -303 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 2. Let x(z) be the second derivative of 5*z**3\/6 - 3*z**2\/2 + 2*z. Let l(o) = -2*o**3 - o - 2. Let m be l(-1). Let v be x(m). Give j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-10)*(-12)\/(-5)*14\/(602\/(-645)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 2, w: 1, x: 1, f: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 42*q**2 - 461*q + 419. Calculate g(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -33567*v + 832. Is a(-49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450846757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r - 4. Let k be l(-5). Let b = 2.1 + -2. Let c = b - 0.3. Is c bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 + 3 = 0. Suppose -d + 190 = 4*d + k*w, -4 = w. What is the smallest common multiple of d and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -178, -396, -588, -742, -846, -888, -856, -738?\n\"Answer: 2*p**3 + p**2 - 235*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + o + 11 = 0, -5*q = -4*q - 3*o. Suppose 3*z = d + 2, z + d = -d - 4. Suppose -4*m + 31 - 11 = z. Solve q*i - 17 = 2*p, -3*i + 2*i = 2*p + m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q + 6. Let l be g(5). Let y be 14\/(-21) - l\/(-3). Let h be (-14)\/56*40\/(-2). Solve 2*t = b + y*b + 18, -h*t + b + 18 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 13) to base 15.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o*o)\/o**(-2\/3)*o**(-11))\/((o*o**(1\/6)*o**(-4))\/(((o*o**(1\/2))\/o)\/o**3)) assuming o is positive.\nAnswer: o**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 16565 divided by 40.\nAnswer: 3313\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121854, 124383, 126904, 129411, 131898, 134359, 136788?\nAnswer: 139179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.326388 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2 + 26*j + 4. What is the remainder when 619 is divided by m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 14*a**2 + 9 + 6 - 29 + 2*a**3 in the form g*a**3 + r*a + y + s*a**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 330.30915*0.13\nAnswer: 42.9401895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -923 - -922.9999063. What is s rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 5}. What is prob of picking 1 f and 1 n?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 355634*g\/7 - 70137516\/7.\nAnswer: 2*(g - 197)*(g + 178014)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 510*s - 4428. Let j be u(9). Determine o so that 21\/5*o**3 + j + 1\/5*o + 6\/5*o**5 + 19\/5*o**4 + 9\/5*o**2 = 0.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*p - 25 - 91, 4*o - p = 116. Calculate the remainder when o is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -12 (b) -3 (c) -13\/18 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116183 divided by 3.\nAnswer: 116183\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkiiekeikkik. Give prob of sequence ik.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 5*p - p**3 - 2*p - p**3 - 2*p**4 + 10 as x*p**4 + n*p**3 + d*p + w + f*p**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -152*l**2 + 3. Let h be f(2). Let z = 515 - h. What is z rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/24 - 2*y**3\/3 - 5*y**2. Let z = -3 + 1. Let m(s) = s**3 + 2*s**2 + s - 1. Let w be m(z). Determine a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 32. Let t = -17 - f. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2072)\/(-714))\/37*(-81)\/270\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**41*(g**(-3\/2))**(-16\/3))**2 assuming g is positive.\nAnswer: g**262","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 65512?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + 15 = 0. Suppose 0 = -4*a - 20, t*a - 19 = 2*s - 54. Suppose 3*k - 50 = s. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxppgxggg. What is prob of picking 1 p and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.041832 rounded to zero dps?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 + v**4\/6 + 3*v**2\/2 + 3115*v - 1. Let y = -7 + 10. Calculate a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 4. Let n be h(-11). Let t = 48 - n. Differentiate -t*b**4 + 8 + 14 + 33 - b**3 - 11 wrt b.\nAnswer: -88*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 117164?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 - 6*w - 54. What is s(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43.47779ms?\nAnswer: 0.04347779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3921, 16888, 38505, 68772, 107689?\nAnswer: 155256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -24. Let r be (p\/90)\/(1\/9). Sort -0.2, r, 4 in descending order.\nAnswer: 4, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*x = 2*a - 146*x - 16, -2*a - x = -10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4290092 or 4290079?\nAnswer: 4290079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/30680565?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.08, -3, 2\/7, -1\/2, -16?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*d**3*g**3 + 181*d**3 + 2*d**2 + 5*d*g**3 - d with respect to g.\nAnswer: -333*d**3*g**2 + 15*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 2*y + 194. Suppose 8*w - 11*w = -t + y, t - 100 = 2*w. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1128771 and 90364?\nAnswer: 130937436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10\/35 + 0 + 2020\/35 and 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3626 divided by 74\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31736996 to the nearest integer?\nAnswer: 5634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 49*d - 51*d. Let q be 10\/3*(8 - (-327)\/(-42)) - 1. What is the nearest to 2\/5 in q, 3, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710 > 2710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 - -0.25. Which is the closest to y? (a) 1\/6 (b) 4\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3\/13 (c) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 6851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.006\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316036008?\nAnswer: 2, 3, 23, 190843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 8*h + 19. Let r(k) = 2*k**2 - 17*k - 38. What is 13*l(p) + 6*r(p)?\nAnswer: -p**2 + 2*p + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055431 rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-4 - 14\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:18 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-30))\/(519\/1730).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, 5, -143 in ascending order.\nAnswer: -143, 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8821 is divided by 65.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = r - 1. Let a(k) = -k**2 - 7*k + 2. Let i be a(r). Let f(t) = -t**2 + 10*t - 3. Does 13 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*m**2 - 169*g**2*m - 454*g*m**2 wrt g.\nAnswer: -4*m**2 - 338*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/24 + z**3\/3 - 2*z**2. Let b be x(6). Sort b, 1, 5.\nAnswer: b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5104557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.5, -24 in descending order.\nAnswer: 0.5, 1\/5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let f be 3*((-2)\/(-18))\/((-9)\/(-81)). Suppose -3*a = -0 - 3. Put f, j, a, 5 in decreasing order.\nAnswer: 5, f, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158100998 to the nearest integer?\nAnswer: 12574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3. Let h(z) = 16*z**3 - 3. Calculate -h(t) - 4*i(t).\nAnswer: -20*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 - -0.3.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32963 and 2737.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:59 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 50 + 51 + 24*y**2 - 101. Let x(m) = 5*m - 3. Let g(z) = -z + 1. Let q(p) = -3*g(p) - x(p). What is q(d(v))?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 + j + 1. Let v be q(-1). Suppose 8 = -2*n - 0, 3*n + 28 = i. Let y = i + v. Solve -2*r = -2*x - 10, 27 = -y*x + r + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Let p = n - 15. Let v = 19 + p. Which is the third biggest value? (a) v (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 107. Suppose 0 = 2*j - j + 2*v - t, -5*v = -j + 14. What is the third derivative of 9*a**3 - a + a + 2*a**3 + j*a**2 wrt a?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213445 and 3799321?\nAnswer: 18996605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-84))\/((-2)\/(-26)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -925306*0.07\nAnswer: -64771.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Suppose b*a - 21 - 19 = 0. Suppose -5*w + a + 45 = 0. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2928, 3047, 3160, 3267, 3368, 3463?\n\"Answer: -3*p**2 + 128*p + 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*w - 0*w. Suppose 3 = -i + w. Suppose 2*t - 28 = -4*d + 5*t, -d + i = 5*t. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(2736\/3366) + 2 + (-57)\/24. Solve z*f - 48 = 90 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*t = 497*t + 368 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -30. List the prime factors of (-24)\/w*16\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48402650 and 2983725.\nAnswer: 435623850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -72, -121, -176, -237, -304, -377?\n\"Answer: -3*r**2 - 34*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77860611 is divided by 2203?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*1\/5)\/(-2). Let x(w) = -4*w**3 - 2*w**2 + w. Let y be x(1). Let n = -2 + 7. Sort s, n, y in ascending order.\nAnswer: y, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvocvvtnotcv. What is prob of picking 2 c and 1 t?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 4, z: 4}. Give prob of picking 4 i.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100011101 (base 2) in base 4?\nAnswer: 110131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-28)*(-11 - (6 - 31)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*j - 5*j - 220, -2*w + 93 = -3*j. Let m = 92 - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + -8)\/((-2)\/(-7)). Suppose -5*g = -18 - f. Solve g*m = m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16282 and -42.\nAnswer: -683844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22005 - -14466?\nAnswer: -4206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640 divided by 320.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*t - 155*t - 3 + 3 to n + j*t and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:51 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 224*q**3 - 8524*q**2 + 72904*q - 113568.\nAnswer: 4*(q - 13)**2*(q - 2)*(q + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5050 + 1216?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16985*t. Let y(x) = 208*x. Calculate j(y(i)).\nAnswer: 3532880*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/6330314 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16914870 divided by -187943.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/(37\/111). Solve -3*v + 0 + 2 = -b*s, 4*v + 9 = 5*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 970 and -1?\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -222210 (base 3) to base 11\nAnswer: -5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 1b8?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 12. What is the common denominator of 11\/8 and (n + 448\/(-10))*2\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 70, 204, 412, 700?\n\"Answer: t**3 + 28*t**2 - 25*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -43, -101, -211, -391, -659, -1033, -1531?\n\"Answer: -3*u**3 + u**2 - 6*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b + 8. Let s be z(-10). Suppose 134 = p - 3*p. Let w = s - p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5cb (base 13) in base 16?\nAnswer: -59c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/14 + -1\/42. Let i = -5 - -3. Let h be ((-2)\/(-18))\/(-14*(-14)\/441). Which is the third biggest value? (a) h (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063096589 rounded to three decimal places?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -9107, 127, 0.5, -2, 11?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 0*w + 5*w. Let p(z) be the third derivative of 1\/24*z**4 - z**2 + 0*z**3 + 0 + 0*z. What is x(p(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 divided by 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -34735 divided by -3\nAnswer: 34735\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 33*j - 87. Let f be j + 5 + -8 + 357. Calculate the greatest common factor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 29*t + 10*t. What is the fifth biggest value in -4, t, -2, 2, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -268 - -2141\/8. Let g be 2\/(-34) - (-163)\/2771. What is the closest to -1 in g, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, -0.14, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 225335150 to the power of 1\/2, to the nearest integer?\nAnswer: 15011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.291 - 3.18.\nAnswer: 4.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*f - 860 = -u, 2405 - 2407 = -2*f + u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3750*b - 128879 - 71753 = -69*b + 583*b for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 23, 5 in ascending order.\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011085 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68526535 a multiple of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d = 33*d. Let y(u) = -u**3 - 2*u**2 + 2*u + 8. Let v be y(d). Solve -8 = 10*m - v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149221\/13720 + 2\/1715. Which is smaller: d or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -89*g - g**2 + 0*g**2 - 23 - 24 + 13*g. Is k(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(24)\/sqrt(6)))\/(sqrt(3)*-2*6)*4)**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -623, -1242, -1871, -2516, -3183, -3878, -4607, -5376?\n\"Answer: -s**3 + s**2 - 615*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 11*d - 8. Give n(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 10*o - 7. Let k be f(11). Is 8*k + 2 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 10. Let w be p(-5). Which is bigger: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5392*x**2 + 17*x - 951180.\nAnswer: 10784*x + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 3*s**5 + 4*s**5 + 4*s**4 + s**5 + 4*s**5 - 3*s**5 + (0*s**3 - 3*s**3 - 2*s**3)*(-3*s**2 - 3*s**2 + 4*s**2).\nAnswer: 13*s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*18\/4. Let l be -8*(y + (2 - -20)). Round l to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 749120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23007, -46018, -69031, -92046, -115063?\n\"Answer: -a**2 - 23008*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 4\/449?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**6\/45 + p**4\/4 + p**3\/3 - 5. Let n(y) be the third derivative of h(y). Find the first derivative of n(i) wrt i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/12 + 4*a**3\/3 + 8*a**2 + 17*a. Let l(f) be the first derivative of z(f). Determine l(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 65, 3, -0.97?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55999, -112168, -168331, -224488?\nAnswer: -280639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798689564.\nAnswer: 2, 199672391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 - 8*g**2 - 5*g**2 - 6*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3 less than 7\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 17*v - 3. Let l(h) = -h**2 + 4*h - 1. Let q(d) = -9*l(d) + 2*w(d). Let g(i) = i - 2. Calculate -3*g(x) - 2*q(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, x: 5, h: 2, p: 2}. What is prob of picking 1 h and 1 n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 288260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52960801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -b0a?\nAnswer: -b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0273157646 rounded to 4 decimal places?\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1269997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6196*b + 2268 = -6184*b. Calculate the remainder when b is divided by 118.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197 divided by 26.\nAnswer: -197\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3443 - -3448.675. Round h to one decimal place.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01832 in 4, 4\/9, 2\/9, 3, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 50531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37778 + 0.65.\nAnswer: 37778.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + w. Let q be x(-1). Let s = 9 + q. Suppose 2*u + 2*u - 24 = 0. Solve -8*b - 17 = s*k - 4*b, 3*b = 4*k + u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3501\/28 - -507\/4. Suppose h**5 + 0 + 3\/7*h**3 + q*h**4 - 2\/7*h**2 + 0*h = 0. Calculate h.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/45*-1*84\/(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 16*q + 21. Let g be 60\/6 - 4 - -3. Let w be h(g). Solve 0 = 4*z - w*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 71 = 47. Suppose u*k - 14*k = -135. Let v = 14901\/8 + -1865. Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2380*j - 9 + 7149*j - 2380*j - 2384*j.\nAnswer: 5*j - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 40*(8\/(-36) - ((-4116)\/54 + 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122022 (base 3) to base 15.\nAnswer: -54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 13*u + 12. Suppose -4*f = -2 - 14. What is the third biggest value in -5, f, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4334 = -3*j, 5827 = 4*j + 8*g - 5*g. Suppose -1457*b = -j*b - 172. Calculate the remainder when 160 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 + 15 - -5*1. What is the greatest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 9391*y**5\/20 + 211*y**3\/3 + 6*y**2 - 1050*y - 2. Find the second derivative of n(l) wrt l.\nAnswer: 56346*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.019 + 0.019. Let c = -72 - n. What is the second biggest value in -4, c, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2951 - (13 + -6)) + -7)*-1.\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from dkiddggdgpdkidkg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(1\/2)*d)**7)**(-2\/93))**27 assuming d is positive.\nAnswer: d**(-189\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 69 = -4*d - 49, 3*x - 5 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 232095823.4626.\nAnswer: 232095823.5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -6*n. Let g(a) = a**3 + 7*a**2 - 11*a. What is the units digit of g(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 4, o: 6}. Give prob of sequence jmj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13926*a - 27847. Give y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 903103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*c - 10*c = -1, -3*s + 7 = 2*c. Let w(f) = -16*f + 6. Let n(g) = 8*g - 4. Let y(r) = s*w(r) + 5*n(r). Let t(p) = 3*p**2. Determine y(t(j)).\nAnswer: -24*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 6 + 4\/4 - 5. Differentiate -158*a**x - 29 - 22 - 25 + 18 with respect to a.\nAnswer: -316*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (14 - (0 + 4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 166, 4, -1\/4.\nAnswer: -5, -4, -1\/4, 4, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497566 + 185001 = 12*v - 190589. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7 + 3045*q + 3043*q - 12205*q + 3043*q + 3037*q.\nAnswer: -37*q - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2074649112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:38 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 7. Let q(v) be the second derivative of 2\/3*v**3 + 1\/12*v**4 + 0 + 1\/2*v**2 - 75*v. Give q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 79984*y**2\/9 - 79982*y\/9.\nAnswer: -2*y*(y - 39991)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1162 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411808009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 5 - 1)*(-2 - 2 + 2)*(-397*t + 73*t - 398*t) to l + z*t and give z.\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/5040 + 0)\/(80\/12).\nAnswer: 1\/150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 544078 - -770?\nAnswer: 544828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7250595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (885\/5)\/(2\/(-8)*-6) is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 6372.7.\nAnswer: -19118.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a + 4 = i, 0 = -2*a. Suppose -i = -0*z + 4*z. Let v = z + -1. Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) -4 (c) 0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 397 = -3*i, -1004 = -5*f + i + 3*i. Suppose f = -71*x + 75*x. Calculate the remainder when 249 is divided by x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520600 divided by 104120\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35067 = 817*w + 4371*w + 356723 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*v**4 + v**4 - 22 - v**4 + 9*v**4 wrt v?\nAnswer: 136*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 - 7*v - 13. List the prime factors of t(6).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1039, -2055, -3073, -4093, -5115?\n\"Answer: -j**2 - 1013*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -21.1. Let l = x - -0.9. Let w = -16.112 - l. What is w rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-10) + (-1805)\/361. Which is the closest to -4? (a) 5 (b) -3 (c) -14 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.02 (b) 1\/2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 5. Let c(w) = -w**3 + 12*w**2 + w - 12. Let h be c(12). Suppose 0 = 6*i - h*i + 36. Let q(y) = -4 + 2 + 0 - 5*y - 4. What is i*p(u) + 5*q(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0 + 0*w - 2*w**2 - 1\/6*w**3 - 1\/8*w**4. Give s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502424 is divided by 501194?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169492154 rounded to five decimal places?\nAnswer: -0.16949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27135 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 + 117. Suppose z = -0*s + 4*s + 1, -j*s + 5*z - 5 = 0. Which is the third smallest value? (a) s (b) 2\/21 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9157 - 0.91579634. Round b to 6 dps.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 49. Suppose 2*a = 3*c - 1506, 4*c - 3754 = 5*a + s*c. What is a rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285984418954 minus 0.5?\nAnswer: 1285984418953.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1300\/78)\/(1\/(-6)). Which is greater: k or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/(-28) + 39\/(-16) and -33\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 874913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 23*u**2 + 21*u + 19. Let r be w(-24). Calculate the greatest common divisor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1\/8 (c) -0.4 (d) 3 (e) 5 (f) 8 (g) -204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2 + 24\/10). Let x = 24 - 33. Let k be (-4 - x)\/((-10)\/(-4)). Sort k, m, -2 in ascending order.\nAnswer: m, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1\/5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*35\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apld when four letters picked without replacement from {b: 1, p: 1, a: 1, l: 1, d: 6, o: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43\/860 + 2\/10\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*k + 3*k. Suppose -w - k*w = 0. Let r be (-4 + w)\/2*-5. What is the greatest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8*j - 14*j - 12 + 4*j)*(-1 + 1 + 2*j) + 2*j**2 + 0*j**2 + 3*j**2)*(0 + 1 + 0) to u*j**2 + n + c*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10*u - 86 = 2*h - 15*u + 4*u, 2*u - 4 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l + 32*l - 44816000. What is l rounded to the nearest 100000?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 16 - (-6 - (2 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3021848.\nAnswer: 2, 53, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9841 + 9855. Suppose -i - 4*y + 5 + 12 = 0, -i + 2*y = -23. What is the greatest common divisor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 16920.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 - 2*l - 8. Determine g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**6 + 189582388*c**5 - 201*c**2 + 11319 wrt c.\nAnswer: 240*c**3 + 11374943280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0343899 to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 + 3*s**2 + 3*s**2 - 6 + 6 + 9*s**2 + (2*s + 2*s - 3*s)*(3*s + 0*s - 2*s) - 3*s**2 + 2*s**2 + 2*s**2 in the form v*s + d + j*s**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1609*s**4\/6 + 2545*s**3\/6 + 27*s**2 - 7*s. Differentiate p(o) with respect to o.\nAnswer: 6436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 27*h = 54 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -110100 (base 3) to base 7\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105487158 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*44 + 28\/84. Calculate the least common multiple of (-56)\/10*t\/(-6) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2 + 567004*u + 1134024 = 0.\nAnswer: -2, 141753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = 3*k, 0 = k - 3 + 2. Suppose -128*u + 123*u = n. Factor u + 0*h - 1\/2*h**3 - h**2.\nAnswer: -h**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*b + 100*b + 140*b**4 + 71*b wrt b.\nAnswer: 1680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - m = 46 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 11010?\nAnswer: 22020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -28*x**2 - 2420*x. Let d(q) = 2*q. Calculate d(w(p)).\nAnswer: -56*p**2 - 4840*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*w + 323*w = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8534*-0.5492\nAnswer: -0.46868728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.49 - 2.48. What is m rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 36. Let i be a(15). Let u be (0 - -1) + (-9)\/i. Let q(p) = -p**3 + 10*p**2. Let y be q(10). Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 10:17 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*v - 3, 2*v + 2*v - 5*p = 41. Suppose -3*z = -v*a - 1363, -5*a + a = 4*z - 1780. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {p: 1, f: 2, v: 3, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6 + 18. Let g be (-6)\/10*(-35)\/7. Suppose -2*z - 2*b = -66, -5*z = g*b - 158 - 3. What is the remainder when z is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9490027?\nAnswer: 409, 23203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 - 1\/6*b**4 + 1\/30*b**5 - b - 17\/6*b**3 + 5*b**2. What is the remainder when 121 is divided by p(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.21. Which is the nearest to 1? (a) 2\/3 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = u + 3*u + 48, 4*u - 85 = -2*q - 133 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 24*y + 232. What is g(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2785464 divided by 18\nAnswer: -154748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1666 and 28\/1735?\nAnswer: 2890510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 4, d: 1, u: 7}. Give prob of sequence ubbb.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 = -2*a - 5, a = -4. Suppose -35 = -o*m - 2*m. Suppose 6*y - 4*n = 5*y, 0 = -4*n + 20. What is the remainder when y is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4678759 from -5.\nAnswer: 4678754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 2. Let q be (19\/57)\/((-1)\/(-21)). Let c be -1 - (1 + -1 + 1). Let h(l) = 4*l - 6. Determine c*h(a) + q*x(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 * 1.95614\nAnswer: 0.13301752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.759 + -2.241. Put 4\/5, j, 1\/2, -0.4, 1 in decreasing order.\nAnswer: 1, 4\/5, 1\/2, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214 + 230. Is (-38810)\/(-40) - (12\/n)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 99*x**2 - 80*x - 2168. Determine c(100).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*r - 4*o, -1 = 3*o - 2*o. Let d be 1*(-3 - r\/3). Suppose d = 13*j - 11*j - 504. Calculate the greatest common factor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 30 - 23)*(-4*w + 10*w + 7*w)*(2*w + 4*w - 7*w).\nAnswer: 507*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - 0.2. Let h = -2.0534 - -0.0534. What is the nearest to h in 0.1, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 50, 20, -0.2 in decreasing order.\nAnswer: 50, 20, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 2*i**2 + i - 93. What is g(0)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 111*a - 206*a + 61*a)*(-14*a - 12 + 18 - 7).\nAnswer: 3584*a**2 + 228*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636315 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1102 - -637. Let d = -26 - z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Suppose -2*b + 115 + 49 = 4*m, 5*b + 164 = 4*m. Let x be (-6)\/9 + (-125)\/(-3). Let n(v) = -x - 7*v + m. Give n(u(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -70, -67?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 30*w**2 + 26*w - 43. Let f be u(-29). Factor -16*q**4 - 34*q + 40*q**3 - 9*q**2 - 1 + 9*q**2 - 23*q**2 - 10*q**2 + f*q.\nAnswer: -(q - 1)**2*(4*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3535 = 4*o - n - 3539, 0 = -5*o + 12*n + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 825 divide 356964300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 358, 562, 766?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*u + 3*u. Suppose s + 15 = 3*r, -2*r - s - s + 10 = 0. Suppose p = 4*l - 4 - r, -3*p = -l - 6. Solve -1 = -z - l*x - u, 0 = 3*z + 3*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-6))\/(((-180)\/54)\/(-10)). Which is the biggest value? (a) -0.3 (b) 1 (c) -2 (d) 2\/7 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43081, -85920, -128759, -171598, -214437?\nAnswer: -257276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -111*k + 5132. Let r be g(46). Solve -177 = -r*i - 47 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -132263, -264446, -396619, -528776, -660911?\n\"Answer: p**3 - p**2 - 132187*p - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r**2 + 20*r**2 - 52*r**2)*(-2*r + 6*r + 2*r - 2*r - 209 - 6*r).\nAnswer: 138*r**3 + 14421*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8 - 6 + 6 + z. Calculate the least common multiple of a(6) and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 8:54 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5\/2 + 225*d**4\/2 - 795*d**3\/2 - 4365*d**2\/2 + 11469*d - 12780 = 0. What is d?\nAnswer: -5, 2, 3, 4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(-10 + 63371\/6336). Suppose 5*r + 7*r - p = 0. Suppose -5*u + 7 = -2*b, 3*u - 8 = b - u. Solve -4*g + r = -b*n, -g - g + 3*n = -20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-125))\/(27401\/4982)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79694159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307218277*l**2 - 592141788*l wrt l?\nAnswer: 614436554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 800178037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -1\/2, 1\/46, 1\/2?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57\/5 of a millimeter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 887013553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 17*v**2 - 39*v + 15. Let g(u) = -81*u + 424. Let y be g(5). What is n(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9485 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5*h - 3. Let y be n(-6). Suppose -q - 238 = -y*g, 0*q - 2*q - 152 = -2*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 15*q - 8. Determine m(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 43. Let m be -4*((-1)\/g)\/((-20)\/150). What is the third derivative of -10*p**2 - 7*p**5 - 10*p**5 - 5*p**2 + 5*p**m wrt p?\nAnswer: -720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -367, 10, -3035 in ascending order.\nAnswer: -3035, -367, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 573*x + 2339*x + 2432*x + 827 - 848. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 28 = -4*m, 21 = -961*h + 958*h - 2*m for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -373, -354, 4, 0, -1\/2?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65995?\nAnswer: 5, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 41519 + 41519 + 25*w - 14*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 = -2*v - 9, -3*k + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 b when four letters picked without replacement from {x: 2, b: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*w**3 + 377*w - 797*w**3 + 212*w.\nAnswer: w**3 + 589*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + u**2 - 2*u + 10*u + 2*u - 7. What is a(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 - 101. Let s(i) = -4*i - 4 + 5 + 0*i + y. What is the remainder when s(0) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163817 divided by -1\nAnswer: 163817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120220 + -1022?\nAnswer: 112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/(-5) + -4)*-1. Let u(h) be the second derivative of -11*h**3\/6 - 2*h**2 - 5*h. Calculate the remainder when 25 is divided by u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 7*h**3 + 5 - 3 - 3*h**2. Let y(g) = 7*g**3 - 4*g**2 + 3. Let o(s) = -4*k(s) + 3*y(s). Let f be o(-1). Solve 10 = b + f*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*k - b**3*y - 119*b**2*k**2*y - b*y - 7*b wrt k?\nAnswer: -2*b**3 - 238*b**2*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 14*v**2 + 12*v**2 + 0)*(3*v**2 - 3*v**2 - 9*v**2).\nAnswer: 18*v**4 + 45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 12 + -5 + 4 + (40 - -5). Suppose 2*u + 250 = 7*u. Are u and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7735, -7736, -7737, -7738, -7739, -7740?\n\"Answer: -f - 7734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000101011001 + 120?\nAnswer: 2000101011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**2 - 33*h + 33. Let n(x) = -x + 1. Suppose 26 = 4*a + 18, -4*d + 6 = 5*a. Give d*k(u) + 33*n(u).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*c - 5. Calculate the remainder when 50 is divided by (3\/c)\/(363\/90 + -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + m - 7. Let i(f) = f**2 - f + 5. Let u(s) = -8*i(s) - 5*z(s). Calculate u(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -18498*n + 4. Let f(z) = -36996*z + 9. Let h(x) = -4*f(x) + 7*q(x). Let d be h(-4). What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 6. Let k be c(0). Suppose 5*n - 25 = 0, 2*n - 4 = 4*t - k. Is (1 - t)*254\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/13, 0.3, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 times 53?\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 12*o**2 - 9*o - 11. Let n be w(13). Let t(i) = -76 + 31 + n - 5*i. Determine t(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-4)*(17 - 16). Let p(q) = -3 + 1 - 1 - 4*q. Let g be 1\/1*-1*1. Let k(j) = -j - 1. Give g*p(s) + z*k(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 3*h - 63 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 59 = -l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 3*l - 1. Suppose 0 = 2*u + 5*h - 4, 0 = -5*h + 6*h. Give s(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**3 - 8*i**3 - 11*i**4)*((2 - 2 - 2*i)*(2 - 1 + 1) + 0*i + 0*i - i).\nAnswer: 55*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15 - -19)\/((-2)\/4) + (55 - 57). Let f(j) = -3*j**2 - 21*j - 11. Calculate f(g).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 819755419*t**4 + 5*t - 36321176 wrt t.\nAnswer: 9837065028*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-1.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2. Let m(r) = 4*r - 16. What is m(u(w))?\nAnswer: 16*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -5\/3 (c) 1\/7 (d) 3 (e) -25.777\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2700869278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -20 (b) 4 (c) -4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - p**4 + 3*p**4 - p**4 + p**4 + 2*p**4 + (6*p**3 - 3*p**3 - p**3)*(2*p + p - 5*p) - p**2 - 2*p**4 + p**2 + (1 - 1 - p)*(-2*p**3 - 2*p + 2*p).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471475 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0 + 0*f**2 + 0*f**3 + 9*f - 1\/30*f**4. Suppose j(p) = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -59)\/((-10)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1862 - 12*x - 1862)*(-2*x**4 + 3*x**3 - 3*x**3 + (-4*x**2 - x**4 + 4*x**2)*(-3 + 3 - 1)).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.30025 centuries in millennia?\nAnswer: 1.230025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/5? (a) 0.5 (b) 11 (c) -24 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)\/sqrt(5))**2 + -4 - (3 + sqrt(5) + -1 + sqrt(5) + sqrt(5))) + -1 + (sqrt(330)\/(sqrt(6)*1))\/sqrt(11).\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15c (base 15) to base 2\nAnswer: 100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*-6*(-283)\/(5660\/(-40))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 = 2*t, -4*v + 5*t - 2*t + 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -49\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 8*l**2 - 10*l + 13. Let t be i(-9). Calculate the greatest common divisor of 55 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375320 (base 15) in base 11?\nAnswer: 1550054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/999*(-29)\/(-435).\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12880885 + 12880885.10700086. Let s = j + -0.107. What is s rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-370))\/((-57)\/(-6555)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 38 = 6*y. Let n be (4 - 2) + (-1)\/1. Put y, -5, n in increasing order.\nAnswer: -5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -172 (b) -0.2 (c) 4185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 323 and 1?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 13. Let q be (24\/(-8))\/(18\/8 - i). Is q\/(-20)*-5 + 1168 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -281*q**3 - 2 - 153*q**3 - 2*q**2 - q + 1 - q. Let u be x(-1). Suppose -5*p + 67 = -u. What is the highest common factor of p and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 227*t\/8 - 231\/2.\nAnswer: (t - 4)*(t + 231)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**2 + 1443*q - 28269. Determine o(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 25 = -5*k - w, -12 = -3*w. Suppose -25 = 3*q + 5*j, 0 = -2*j - k - 1. Let l be (-144)\/(-76) + (-2)\/(-19). Solve 0 = l*n - 4 - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/((-3)\/9). Suppose 33 = 3*p + 3*a, 4*p - 4*a = 14 + 46. Calculate the remainder when (r - -37) + 3 + -3 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 400.5 + -400. Sort b, -8, 3, -5 in increasing order.\nAnswer: -8, -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9010519 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2779594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 19*b**2 + b. Give f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10*f**2 - 2*f - 18. Let m be j(-10). Solve 0 = m*w - 0*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/347 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2.2 (c) -908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m + b = -5, 3*m = -5*b - 19. Let n(d) = -d**2 - 5*d - 5. Let c be n(m). Suppose -25 = -4*l - c. Solve q - 10 = l*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -41*b**5\/4 + 1895*b**4\/2 + 40893*b**3\/4 + 56331*b**2\/2 + 18900*b = 0. Calculate b.\nAnswer: -6, -3, -1, 0, 4200\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h**2 - 16*h. Let a(g) = -12*g**2 - 8*g. Give 5*a(t) - 3*m(t).\nAnswer: 15*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17962913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3035 + -3030. Suppose 0 = o - 3*o. Solve o = z + q - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1 + 2 + -1). Let v(d) = -3*d - 2. Let k be v(-3). Suppose b*c = -c + k. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 + 2*s**2 - 4*s + 2. Suppose -74 = -i - y, -27*i + 25*i + 146 = y. Calculate the remainder when i is divided by x(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 388 + -278. Let h = i - -580. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566139 - 96558 = -21*j. Suppose j = 18*s - 164697. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b + 10 - 6 - 5. Let n(f) = f**2 + 3. Let m(p) = -4*p**2 - 9. Let v(j) = 2*m(j) + 7*n(j). Determine 3*q(h) + v(h).\nAnswer: 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -v + 3*v. Is 16\/12*v\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 - 384. Which is the third biggest value? (a) -12 (b) 1\/4 (c) q (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 1467 = 1719 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8799246941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/9*30\/(-20). Solve g - 4 = -v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -223, -863, -1921, -3397?\n\"Answer: -209*h**2 - 13*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 23*n + 32. Let m = 40 + -50. Let p be d(m). Solve 3*h - 10 = -r, 0*r - 4 = -p*r + 2*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -62, -74, -86, -98, -110?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b - b)*(7 - 3 - 2)*(-5*b - 8 + 8) + 4*b**2 - 2*b**2 - b**2 - 2*b - b**2 + 2*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7936482270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 432 - 431. Which is the nearest to 1\/2? (a) -0.3 (b) k (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/37 + 136\/111. Factor -10\/3*w**2 + 4\/3 - s*w**3 - 2\/3*w.\nAnswer: -2*(w + 1)*(w + 2)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -2001\nAnswer: 34017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*-7 + (0 + 3 - 0))*-8518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:18 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49225 is divided by 326.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-501)\/24 - (0 + (-2)\/(-16)). Let n(k) = -k**3 - 18*k**2 + 35*k - 1. Is n(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111777287 + -111777164.999951. Let m = s + -122. What is m rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 + -30. Let i be 8\/3 + (-7)\/(y\/6). Solve 2*c - i*c - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -17) + -11 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 171 + 3*j**2 - 20 as u*j + v*j**2 + n and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 3) + 66*(-8)\/(-64). What is the biggest value in u, 0, 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 + -168. Suppose -3*k + l = k, -x = -4*k + 4. Let f(b) = -b**2 - 4*b + 7. Let d be f(-5). Solve 0 = d*m - 2*a, -4*m = -2*a - x*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let l(n) = 5*n - 1. Determine -4*a(q) - l(q).\nAnswer: -5*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13732, -27497, -41262?\n\"Answer: -13765*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04120897 and -4170.648.\nAnswer: -4170.68920897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/20 - 5*y**4\/12 - y**3 + 2*y**2 - y - 476. What is j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - r - 14 + 4)*(-498 + 26*r**2 + 498) in the form c*r**2 + q*r**3 + y + l*r and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60663 - 3992565?\nAnswer: -3931902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let w be 50\/4 - 13\/26. Suppose 0 = 2*z - z - 4*l + w, z - 16 = -3*l. What is the highest common divisor of h and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48220965 and 4666545.\nAnswer: 144662895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -501, -512, -527, -546, -569, -596?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 18)\/(-14) + 6. Which is the closest to 1? (a) p (b) 0.01 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -773 - -822 - (-3 - -83).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11*u + 4*u**2 + 9 - 3*u**2 - 4*u. What is the remainder when n(-9) is divided by 56\/2*(-3)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 3*m + 25. Let q be z(-4). Which is the nearest to q? (a) 4 (b) -4\/7 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17813 + -2.53127. What is q rounded to 2 dps?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 4*k**2 - 6 - k - k**2 + 5*k. Give n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 times 0.08?\nAnswer: -21.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4425, -4417, -4403, -4383, -4357, -4325?\nAnswer: -4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -17*b + 25. Let y(t) = t**3 - 10*t**2 + 15*t - 18. What is y(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuxu when four letters picked without replacement from {u: 7, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqvvvqvqvv. Give prob of picking 2 v.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -62, -1, -5, 4483, -2 in increasing order.\nAnswer: -62, -5, -2, -1, 0, 4483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 52. Calculate the least common multiple of t(-19) and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1751\/(-309))\/17)\/((2\/3)\/((-4)\/6)). Let 14\/3 + 4\/3*v**2 - 19\/3*v + o*v**3 = 0. What is v?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 10:59 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 1)**2*-6*-6.\nAnswer: 216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 290.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 238125 + 21?\nAnswer: 238146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2440 - 100400?\nAnswer: -103340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7868 + 23629 - 7876 + 2*v - 7886.\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 2*w)*(350 - 672 - 3).\nAnswer: 325*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1501, 1495, 1477, 1441, 1381, 1291, 1165, 997?\n\"Answer: -o**3 + o + 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -3\/7, -2\/511, 1\/2, 1 in increasing order.\nAnswer: -3\/7, -2\/511, 1\/2, 1, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -10. Differentiate 11 - 12*g + 12*g - j*g**2 + 2*g**2 wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5585 divided by 4.\nAnswer: -5585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + sqrt(605)*1 + 0)**2 + ((3 + sqrt(5))*5 + sqrt(5) + sqrt(5))*-5.\nAnswer: -35*sqrt(5) + 2345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:42 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (69\/6 - 3)*2. Let y = -5 - l. Let q = 2 - y. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 818.\nAnswer: 130880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(252).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4461, 4818, 5177, 5544, 5925?\n\"Answer: q**3 - 5*q**2 + 365*q + 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*c - 20, -p - c - 10 = -5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.7 + 5. Let t = 3.24979 + 0.45032. Let m = t + j. What is m rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -103.1. Let o = 9 - c. Is o smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -567 + 807. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389789 to the power of 1\/2, to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 13*u**2 + 12*u - 3. Let g be z(-12). Let r = -6.1 - -1.1. Which is the closest to 0? (a) r (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -299 - -21438?\nAnswer: 2115b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*a**3*m**2 + 2*a**3*y**2 - 2*a**2*y - 5*a*m**2*y**2 - m**2*y - 16*m*y**2 + m wrt m?\nAnswer: -32*a**3 - 10*a*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -5*m**4\/24 - m**3\/6 - 2*m**2. Calculate i(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -4 - 14. Suppose -101 - 51 = -s*l. Calculate the highest common divisor of l and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511348 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1753 + 824 + 12*l**2 + 929.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o - 76 = 15*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*-6 - ((-172)\/2 + 38).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21547 = -10*z + 353. Suppose -2*s = -z + 20. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1099003l in millilitres?\nAnswer: 109.9003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10660312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - p - 3. Let n(i) = i**3 - 10*i**2 + 402*i + 1123. Let u(c) = -5*h(c) + n(c). Differentiate u(o) with respect to o.\nAnswer: 3*o**2 + 407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -3, 5, -27, -4 in ascending order.\nAnswer: -27, -4, -3, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from ggazbbgggbgg?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.19 (b) -18 (c) 4138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.8651*-4.6\nAnswer: -3.97946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(62\/(-4) - (-20 - -18))*2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -37*r + 3. Suppose -4*d - 14 - 6 = 0. Let z be c(d). Suppose -4*t = 2*g - z, 2*t = -3*g + t + 262. What is the remainder when g is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + d)*(4*d**3 - d**3 - 5*d**3) + 0*d**4 - d**4 + 2*d**4 - 16 + 16 - 29*d**4 + 0*d**4 - 3*d**4 - 2 - 3*d**4.\nAnswer: -36*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2\/13, 0.2, -0.12, -4.8045, 3\/7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose -v = -j*v - 8. Solve -2*h + v = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 661*j**2 - 3*j**4 - 3*j + 661*j**2 to r*j**3 + t*j**2 + w*j**4 + g + k*j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - l = -16 + 42, -2*n = l + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 0*t**2 + 5*t**2)*(3*t**2 + t - t).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 - 3*h**2 - 4. Let s(j) = -2*j**3 + j**2 - 1. Calculate r(z) - s(z).\nAnswer: -2*z**3 - 4*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 404, 939, 1690, 2657, 3840, 5239?\nAnswer: 6854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123161220 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7378 and 1526.\nAnswer: 804202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 12 - -1) + -1 - 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 1 + 1. Let v(m) be the second derivative of 37*m + 0*m**2 + 1\/6*m**4 + 0*m**3 - 2. What is v(g(s))?\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 58*t**2 + 127*t + 2111. Determine s(55).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**7\/2520 - c**6\/720 + 39*c**5\/40 + 17*c**4\/4 - 4*c + 1. Let u(i) be the third derivative of m(i). Does 13 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*l**2 - 5217*l - 93079 wrt l.\nAnswer: 64*l - 5217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -59*v**2 - v + 1. Determine b(1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**3*u**3 + 371*l**3*u + 5*l**2*u**5 + 5*u**2 - u wrt u.\nAnswer: 24*l**3*u + 100*l**2*u**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704001994 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2349 + 1973 = 0. Let x(s) = -s**2 - 9*s + 10. Let i = -4 - 3. What is the remainder when g is divided by x(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:38 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.55 + 1.55016. Round m to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s - 2. Let h be f(-2). Let v be (3\/(-2))\/((-6)\/h). Suppose 3*z = v - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -372413, -744836, -1117259, -1489682, -1862105?\n\"Answer: -372423*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l**2 + 6*l**2 + 1 - 2 - 17*l**2. Suppose 4*y = 5*y. Let j = y + 1. Calculate o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -37*x**2 + 17*x - 2. Let k be s(13). Let a = -4301 - k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1422 - 1449) + 8948\/332.\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - 2*j**5 + 6*j**5 + (226*j**4 + 781*j - 781*j)*(5*j - 2*j - 2*j)*(-1 + 2 + 1).\nAnswer: 456*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 232*(-10)\/(-14)*(-357)\/(-34). What is d rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1800)\/(-324))\/(-3*(-14)\/(-756)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/(-14))\/(9036\/(-15813))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -5, 230, 5 in ascending order.\nAnswer: -5, -3, 4, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t - 27. What is the remainder when 36 is divided by i(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 567 = 305. Let m = c + 259. Suppose r - 5*y - m = 0, 3*y + 113 = 2*r - 173. What is r rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-8)\/l*l)*l)\/l**(-2\/7)*(l**(-1\/9)\/l)\/l*l*l**8*l assuming l is positive.\nAnswer: l**(1145\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36513, 73131, 109749, 146367?\n\"Answer: 36618*s - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170436601176 + 3*c**3 - 170436601176.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024.4652 rounded to the nearest integer?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*c - 5, 5*c = -0*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*o - 18. Suppose -o*d - 4*w = -2*w, -5*d + 3*w + 25 = 0. Solve 0 = -d*s, -a - 2*s = 3*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:18 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -15 (b) -1\/4 (c) -1\/6 (d) -1 (e) -3\/2 (f) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-220)*(-7524)\/(-34884).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 330*g**2 + 321*g + 654 = 0.\nAnswer: -1, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c = -3*v + 66, -5*v + 195 = -c + 217 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 13 - -3 - 9 - 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 48547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14605 is divided by 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 9) to base 15.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3921, 3918, 3905, 3876, 3825, 3746?\n\"Answer: -b**3 + b**2 + b + 3920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -3)*(-2)\/4. Let l = 8 - 8.3. Let q = l - 0.7. What is the nearest to 1 in -2, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + -278. Let b = 371 + q. Put -0.5, b, -1\/11 in descending order.\nAnswer: -1\/11, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904 = 227*w - 2*s, -9*w - 22 = -12*w - 5*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5, 2, 52 in increasing order.\nAnswer: -5, -1, 2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.66074 hours in nanoseconds?\nAnswer: 247178664000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 0.18529.\nAnswer: 0.111174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m + 85*m + 26*m - 26*m - 14*m.\nAnswer: 113*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*y - 9*y**2 + 28*y)*(-5*y**2 - 2*y + 6*y**2 + 4*y) in the form g*y**2 + q*y + n*y**3 + a*y**4 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + 3*m + 3. Let s be w(0). Solve -27*f = -26*f - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -1 - (-1 - 2). Differentiate 6*m**h - 3*m - 2 - m + 4*m wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cd - 22cd7?\nAnswer: -231b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 2 f when four letters picked without replacement from {a: 2, p: 3, x: 3, f: 4, t: 4, d: 2}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753 by 5.\nAnswer: -753\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r\/(r*r\/r**(-3\/8)*r*r)*r)))**(-49))**(3\/5) assuming r is positive.\nAnswer: r**(1617\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13 - 1236*w**2 + 1236*w**2 - 7*w + w**3. Let n(l) = l**3 - 5*l + 9. Determine 7*n(o) - 5*u(o).\nAnswer: 2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32838 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -431.230275.\nAnswer: -431.320275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/14))\/v)**(14\/5)*v\/(v*v\/v**(-6))*v**(7\/11) assuming v is positive.\nAnswer: v**(-361\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26182080*p**4 + 2*p**3 + 11*p**2 - p + 5575363.\nAnswer: 628369920*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*n*v**2 - 2*n*v + 8894*n + 284802*v**2 + 2 wrt n.\nAnswer: -11*v**2 - 2*v + 8894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(77)*4)\/(sqrt(11) - sqrt(44)\/(sqrt(4) + sqrt(4) + sqrt(100))))**2.\nAnswer: 34300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133427\/60876 - -382\/171. Find the common denominator of -9\/200 and o.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -17*g + 46629 + 27837. What are the prime factors of g?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16982843 is divided by 2669.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 183 = 3*m - 5*m, 2*n - 394 = 3*m. Suppose -6*d + 257 - n = 0. Let i be (0 - (4 + -2))\/((-2)\/11). What is the highest common factor of d and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/261, 7\/4, 0.3?\nAnswer: -4\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3*a**3 + 4*a**3 + 2*a**3)*(-3*a - 4*a + 5*a).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4427104*q + 2216680*q + 2*q**2 + 2210424*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6.1968 * 3\nAnswer: 18.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210045 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64081418 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 172 = -2*q - 6, 5*z + 169 = 2*q. Let b = -48 + q. Suppose -10*s = 1281 - 1421. What is the remainder when b is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*i - 20, 4*m - 19 = -2*i + 3. Suppose 0 = -4*n + 3*l + 18, 2*n - 4 = m*l - 2. Solve 4*y = 2*y + n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 5*y**2 + 5*y + 6. Let v(w) be the second derivative of 4\/3*w**3 + 2\/3*w**4 + 11\/20*w**5 + 2*w + 9\/2*w**2 + 18. What is 8*p(o) - 5*v(o)?\nAnswer: o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and -226817.1.\nAnswer: -226816.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78337574 is divided by 109410?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 - 0.156. What is the closest to 0.1 in w, -3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-526\nAnswer: -63.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 92, 269, 606, 1157, 1976?\n\"Answer: 9*i**3 - i**2 + 11*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 minus -25.68?\nAnswer: -248.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -925.1 - 214.9. Let b = p - -1139.99999293. What is b rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (68\/(-136))\/((-1)\/8472)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*g + 7*g = 7, -g = 2*h - 7. Suppose 0 = 5*x - 3*x + 4*i + 8, -3*x = h*i + 2. Let s = 24 + -13. Calculate the remainder when s is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/210*4\/(-66)*(-38)\/2565*-27?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-14)\/3) - 29870\/(-406). Suppose -k*x = -80*x + 9342. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.805 + -7. Let l = -7.085 + g. Round l to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2754*m + 1389*m + 2738*m + 307*m + 594*m as q + t*m and give t.\nAnswer: 7782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 3. Let n be ((-4)\/(-6))\/(2\/9). What is f(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)**(-3\/8))**(3\/7)\/((k*k**(-2\/7)*k)**(-2\/5)\/(k**(-6)*k**(-5))) assuming k is positive.\nAnswer: k**(-419\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 11*r**2 + 11*r + 36. Let l be x(10). What is the highest common divisor of l and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/15 + h**3 - h**2. Differentiate o(c) with respect to c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 3*f**2 - 6*f + 7. Let u be d(3). Let g = -5 - u. Let i = 6 + g. Solve -3*o + 0*o = -i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/567 - (-20)\/(-108) - (-163)\/(-36).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/319 (b) -9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.904 + -0.004. Let z = -8.1 - o. Let a = 11.0074 + z. Round a to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1 + 5)**2 + -1 + (sqrt(147) + -1)**2.\nAnswer: -84*sqrt(3) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -723, -2123, -4227, -7041, -10571, -14823, -19803?\nAnswer: -25517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + w**2 - 2*w - 12*w**3.\nAnswer: -12*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:34 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60095 (base 15) to base 13.\nAnswer: -a8422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 + 73. What is the smallest common multiple of b\/(-140) + ((-8700)\/(-21))\/4 and 65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1276)\/(-10))\/((-8)\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/x**(2\/9)*(x*x*x*(x\/(x\/(x\/x**(-11\/5))))\/x*x)\/((x\/x**(-1\/2))\/x) assuming x is positive.\nAnswer: x**(943\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p*y**2 - 12867*p*y + 5*p - 89491772*y**2 wrt p?\nAnswer: -2*y**2 - 12867*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49440 is divided by 402.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 172*w - 474. What are the prime factors of t(12)?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 11:52 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibi when three letters picked without replacement from {b: 6, i: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 1. Suppose -35*r = -24*r. Let u = 6 - 3. Suppose r = 4*k + u + 1. What is n(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + (-33)\/3)\/2. Solve -12*k + 43 + 17 = b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*(-38 - -2). Let f = 62 + h. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 + (8 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(21)\/sqrt(3))**2*-6 + sqrt(7))*6 - -6*(-1*sqrt(700) - sqrt(7))) + 1 + -2 + -4.\nAnswer: -262 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 - 24*n + 9. What is the tens digit of r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -134*i + 1510. Let l be b(11). Solve 56*v = 50*v - l for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -110\/337 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872\/156 + 692\/(-58)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 26. Let u = f + -10. Let g be (-9)\/2*4\/24. Which is the second smallest value? (a) u (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1394484 - 470410 = -7163*z + 109*z for z.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 11. Let r = 37 - v. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o - 1. Let j be y(-3). Let h(a) = -5 - 6 - 5 + 2 + 4*a. Let q be h(4). Solve q*x = -j + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) -9 (b) -0.3 (c) 0.3 (d) 356\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 7*q + 2*q - 8*q + (4 - 2 + 2)*(4*q - q - 2*q) + 4*q - q - q + 0*q + 6*q - q to j*q + f and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s - s + 2 - 4*s + 3*s**3 as l*s + u*s**3 + i + h*s**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4 = 4*d, 3 = o - 2*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -905, 5, -2 in decreasing order.\nAnswer: 5, -2, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*1\/4 + 3. Suppose -2*w - 8 = -3*a - 0*w, -6 = -s*a + 5*w. Find the first derivative of -3 - 6 + 0 + 11*l**a + 0 wrt l.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69962420 divided by 107140.\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 17*q - 12. Suppose -5*y = -7*y - 32. Let v be g(y). Let d = -155\/308 - -9\/28. Which is the smallest value? (a) -3 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*y + 2*x + 13, 5*y + 2*x - 69 = 0. Suppose 2*h = -h + 126. Calculate the remainder when h is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 4:03 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 32. Let h(u) = 11*u**3 - 9*u**2 - 7*u - 3. Let g(s) = -16*s**3 + 14*s**2 + 11*s + 4. Let j(x) = 5*g(x) + 8*h(x). Is j(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 98, 296, 690, 1376, 2450?\n\"Answer: 16*d**3 + 2*d**2 + 80*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1192976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 444*p**2\/5 + 9664*p.\nAnswer: -2*p*(p - 80)*(p + 302)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 155 + 352)*(4*t - 3*t + 7*t) + (5*t - 2*t + 5*t)*(1 + 0 + 0) to the form s + z*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/251 in 3, -5\/16, -5, 4\/3, -1?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*c - 5*z + 40, 4*z = 2*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)*2\/4. Suppose -91*m + 9 = -88*m. Suppose -3*z = -0*z. Sort m, p, z in decreasing order.\nAnswer: m, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30789.2 take away 207696.5184?\nAnswer: -176907.3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*g = 2*o - 2, 2*g = -5*o + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3308370 and 1560?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -76. Calculate the remainder when 35 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34752547.92 to the nearest one hundred thousand.\nAnswer: 34800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1032010?\nAnswer: -1032003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1834, 325, -1184?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.6063 + -8.6. Round g to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/7, -27429.\nAnswer: -27429, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0274 + 38.0274. Let k be (53 + 1)\/(-6) + 4. Put -1, w, k in ascending order.\nAnswer: k, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1812.867891 + -1812.9. Let c = -16 + 15.968. Let q = t - c. Round q to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 + 1100111100001?\nAnswer: 1101000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -21. Suppose -h*v + 50 = 2*v. What is the lowest common multiple of v and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 + 33*u)*((u - 2*u - u)*(3 - u - 3) - u**2 + 2 - 2 + (-13*u - 59*u + 14*u)*(-1 + 1 - u)).\nAnswer: 1947*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, g: 3, y: 2}. What is prob of picking 2 x and 2 g?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r + 8*r + 5*r**2)*(0 - 2 + 0 + (2 - 4 + 4)*(0 + 4 - 5) - 4 - 2 + 0 - 3 + 5 - 5) as t*r + d*r**2 + a and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, -9\/11, -8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/6 - 5*j\/6 + 2\/3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11207789 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Let m = 2317 - 1630. Let w = m + -684. Solve -4*l = -3*l - n - g, 0 = 2*l + w*n - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341*g**3*z**4 - 4*g**3*z**2 - 194*g**3 + 2*g**2*z - 1 wrt z?\nAnswer: 4092*g**3*z**2 - 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + 2*sqrt(7) + sqrt(7)) - (sqrt(3) + sqrt(363) + -2).\nAnswer: -47*sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.3, 0.17, -2, 8, 4.07?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*w - 20316 - 9845 = 652*w - 5461 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.88241 kilograms to milligrams.\nAnswer: 53882410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w. Let h(o) = -4*o**2 - 4*o - 2. Let d(g) = h(g) - y(g). Let z(p) = -p**2 - 4*p + 4 + 3*p - 8 + 3. Determine -d(s) + 4*z(s).\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 - 9*y - 34 - 1 + 11 - y**2 + y**3 + 13 + 8 to c*y**3 + h + o*y**2 + z*y + q*y**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 47*v = -47 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*s - 119*s = 20. Suppose 0 = -3*p - 3 + 18, -2*p = 2*i - 14. Which is the third smallest value? (a) i (b) 4 (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 8. Suppose 0 = -5*d - 20, -19 = -4*a + 3*d + 5. What is the lowest common multiple of a and i(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111536318 divided by -2083.\nAnswer: -53546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 1112?\nAnswer: 25576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 3:27 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 0, -5*z = d - 2*z - 12. Suppose 4*g - 29 + d = 0. Solve 3*l + 0 = 6, 4*m - g*l = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 6164 + 5959 = 121*t + 3365 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 0 - 2*b + 4 - 693*b**3.\nAnswer: -693*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(5)*-3*-3.\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 - 300*q**2 + 2592*q + 93184 = 0.\nAnswer: -13, 32, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 24*d. Let w(f) = 17*f - 3. Determine l(w(v)).\nAnswer: 408*v - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 - -2901?\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11551\/80955 + 2\/11565. Sort f, 5, -9\/11, 2 in decreasing order.\nAnswer: 5, 2, f, -9\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 19.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6413 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 4*s - 5. Let w be v(4). Let f be (-2 - 0) + w\/(-1). Solve 0*p = -3*p - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 15 = 0. Suppose -y*v - 20 = 2*v. Let g = 9 + v. Solve -4*j - g*a - 20 = 0, a - 2*a = -4*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 + 11*f**3 - 22*f**2 - 128*f - 96 = 0 for f.\nAnswer: -12, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -76 from -0.032.\nAnswer: 75.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:49 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 2 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 - 65*f - 100. Calculate y(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4623 = 26*p - 33597. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 30 = 4*g, t = 2*g + g - 20. Suppose 48 = g*s + 7*s. Let n be ((-10)\/2)\/(1 - 3). Do s and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -0*t + t - 2*n, 13*t + 42*n = 9*t - 210 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84 - -1209 - (-2 + 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**5 - 11*d**4 + 10*d**3 + 10*d**2 + d - 11. Let c(g) = -g**4 + g - 1. Let j(v) = 6*c(v) - u(v). Factor j(z).\nAnswer: 5*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -23*j + 50. Suppose -420 = -j*i - 13*y + 10*y, i - 71 = 2*y. What is the least common multiple of i and 3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:17 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 10:01 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/5, 164, 55\/3.\nAnswer: 34\/5, 55\/3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevvdvee. What is prob of picking 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*z - 167023*o + 167024*o, -4*o = -2*z - 0*z - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.7 - 15.781. Let u = 40.019 + -40. Let v = z - u. Put v, -6, 0.1 in descending order.\nAnswer: 0.1, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1693263 and 858?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - -4*14219\/(-118)*(-1)\/122\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g - 64 - 76 = 3*l, 0*g + 2*l + 0 = 3*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 19*r + 26. Let w be b(-8). Suppose w*k + 3*y = 189, 0 = -4*k + 5*y - 7*y + 390. Which is greater: k or 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4905*a**3*w + a**3 + 8*a**2 - 589*w wrt a?\nAnswer: 29430*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 10*b + 2. Let r(c) = c**3 + 7*c**2 - 7*c + 10. Let w be r(-8). Let t(h) = 7*h**3 - h**2 + 20*h - 5. What is w*t(f) + 5*z(f)?\nAnswer: -f**3 - 2*f**2 - 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 485, 3761, 12603, 29795, 58121, 100365, 159311, 237743?\n\"Answer: 464*d**3 - d**2 + 31*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30115.\nAnswer: 5, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -11393 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 688883053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2*c - 2*c)*(-4*c + 3*c - 3*c) - 3*c**2 + 3*c**2 + 1 - c**2 + (-c - 4*c + 3*c)*(2*c - 4*c + 3*c) in the form l + t*c + o*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 25. Suppose -9*d = -u*d - 10. Solve -11*n**4 + 3*n**5 - d*n**3 + 2*n**4 + 8*n**3 = 0 for n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.71 - -0.04. Let z = -480829.7 - -480829.0300086. Let w = z - a. What is w rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r + 1. Let x(h) = 2*h - 9. Calculate 2*j(w) + x(w).\nAnswer: 2*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 + 9*w**2 - 14*w**2)*(-3*w - 3*w + w)*(11*w**2 - 14*w**2 - 9*w**2).\nAnswer: 300*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 82 + 9*y)*(-61 + 18 + 5*y**4 + 7).\nAnswer: 45*y**5 - 324*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8619 and 15.\nAnswer: 43095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -11. Suppose 2*p - 5*p - 6 = -2*w, -w = 5*p + 23. Let j be -1*(p - 3\/((-12)\/(-52))). Calculate the greatest common divisor of v and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from dtuituuttidu?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**2 - 67*b - 42. Determine c(-9).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -30 (c) 45 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - 0.26. Let z = 0.35 + 0.15. Sort 4, b, z in ascending order.\nAnswer: b, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2118)\/(-42) + -51)\/((-54)\/(-7))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 0 + 0. Let t(r) be the third derivative of -r**5\/20 - 9*r**2. Determine n(t(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 271 - 357 = -208. Suppose z = -z + 44. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*j + 19, -158 + 143 = -3*o. Do j and -15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:36 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 11:33 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((6*sqrt(70)*2*4)\/(sqrt(110)\/(sqrt(55)\/sqrt(5)) - (sqrt(640)*1 + sqrt(640) + sqrt(640))))**2.\nAnswer: 18773\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176148 and 5126?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315274, -630594, -945914, -1261234?\nAnswer: -1576554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u - 3. Let m(n) = n**2 + 6*n + 3. Let h(t) = -2*t**2 - 12*t - 6. Let x(a) = -6*h(a) - 11*m(a). Let g be x(-7). Is d(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65148835623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o**2 - 17*o - 26. Let k = 4 - 17. Is a(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 48\/7 (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/216 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + 189\/(-15) + (-166)\/(-10). Let g be (1 + -1 - -21) + 0. Suppose -88 = -g*n + f*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from berybrrerrew. Give prob of sequence bwrb.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620452.\nAnswer: 2, 7, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1656*b*k**4 - 10579*b*k**2 - 7*b*k + 23*b - 58830*k - 2 wrt k?\nAnswer: 19872*b*k**2 - 21158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 55 = 4*u, 3*u + 2*k - 24 = -0*u. Let i(w) = -w + 10. Let f be i(u). Let d be 24 - 7 - (f + 1). What is the greatest common factor of d and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.1, -7.6, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -157353037451?\nAnswer: -157353037452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (3 - -6) + 0 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-918)\/85*(-4 + -1). Suppose -12*t + v = -3*t. Let m be 54 - (-1 - -2) - -1. What is the greatest common divisor of t and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 288.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70198ml in litres?\nAnswer: 0.00070198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + t = 5*v - 175, 3*t - 4 - 16 = -5 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -8, q - 23 = -9*j + 4*j. Let z be (-7 - -2)*(-1)\/j. Put z, 0, 5 in decreasing order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9118 - -9248. Calculate the remainder when 182 is divided by x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2088 and -53\/18536.\nAnswer: 4837896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348 - 1524 = 16*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(72) - (sqrt(72) - sqrt(72)*-1) - sqrt(72))\/sqrt(3))\/(2*sqrt(968) - sqrt(8)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 10702.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 72 = -15*g, 39*w = 37*w - g + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*-2*(-24)\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + -11 - (1 + -4). Suppose -s*t - 10 = f, -4*f - 3*t + 5 = -0. Solve -f*u = 2*r - 5, 0 = -4*u - 4*r - 2 + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 31340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3237 + 4616. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5623 - 1021 = 13*z. What are the prime factors of z?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -351 - -1075?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1175 - -1192) + (-2 - (-1 - -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.991767 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**3 - 5*r + 3*r + 2*r.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -1177*j**3\/4 - 603813*j**2\/4 - 903483*j\/2 - 4590 = 0.\nAnswer: -510, -3, -12\/1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*49\/196\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 185*w - 76 = 190*w, -2*f - 15*w = -14*w + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*m - 3*d, -5*m - d + 15 = 4. Let i be -1 + m - (-40)\/(-25). Factor -18\/5*w + 16\/5*w**2 + i.\nAnswer: 2*(w - 1)*(8*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1192 != -1192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s - 52. Let d be o(6). Let l(c) = c**2 + 3*c - 3. Let n be l(d). Suppose -2*b + 5*j + 149 = 0, n*j - 2*j = 5*b - 395. Is b a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/239 or 0?\nAnswer: 1\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.2? (a) 4\/7 (b) 80 (c) -0.01 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.83 and -0.470258.\nAnswer: 0.359742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vahaaajvhrhav. What is prob of sequence vjaa?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2517? (a) 0.3 (b) -72 (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63216\/(-19755))\/(232\/(-10)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13239*z - 17*z**2 + 13239*z.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4 - 3 - 2 + 1 + 6*z. Let s be l(5). What is the greatest common divisor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 = 0, -48*r + 47*r + h = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 28*f**2 + 39*f + 4*f**4 + 1631 - 86*f - 1631 = 0. What is f?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -7\/3, -0.0028, 738?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c\/(c*c*(((c*c**14\/c)\/c)\/c)\/c)))\/(c**(-5)\/c*c*c\/((c*c*((((c*c\/c**1)\/c)\/c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111001011000 (base 2) in base 9?\nAnswer: 23803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.309 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44667334853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**9\/12096 - t**8\/1344 + t**7\/336 - t**6\/144 + 7*t**5\/60 + 11*t**2. Let s(b) be the third derivative of w(b). Factor s(i).\nAnswer: 5*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 3. Let s(m) = 1. Let l be (12\/(-6))\/((-2)\/3). Let p(c) = l*s(c) + d(c). Let o(t) = t**2. Give o(p(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-488342)\/(-21) - 34\/(-119) - 5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5095355, -5095396, -5095435, -5095472?\nAnswer: -5095507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 109*h**2 - 422*h - 260. Give k(-105).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 - -324. Let t = b + -126. Solve t = 4*k - 5*r, -4*r - 13 = -3*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 867456 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -194*f + 2. Let h(i) be the first derivative of -i**3\/3 + 2121. Give d(h(b)).\nAnswer: 194*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102515712 by 13312.\nAnswer: -7701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 16*q**2 + 68*q - 11. Calculate x(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 457*h**2*o**5 - h**2*o*q - h**2*o + 568*h*o**2*q - 2*h*o*q + 38*h*o + 3024*o*q wrt o.\nAnswer: 9140*h**2*o**3 + 1136*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. Let f be (2\/(-6))\/((-1)\/z). Solve -5*u + 13 = -y - y, u - 5*y + f = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 8. Let z = 16 + n. Suppose i = -3*f + 182, -10 = -4*f - 3*i + 236. What is the highest common factor of f and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1332498 and 47\/204.\nAnswer: 45304932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 22. Suppose -9 = 5*r - 3*z, -2*z = -1 - y. Let n = -50 + 52. Solve 2*u - 5*g + 3*g = r, n = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-1040.\nAnswer: -218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (4 - (-5 + -5 + 10 + 1 + 2))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let w be ((-3657)\/(-8))\/((-282)\/b). Let x = -114\/47 - w. Find the common denominator of x and 41\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7942 = -281*s - 137*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18262, 15665, 13066, 10465, 7862, 5257?\n\"Answer: -g**2 - 2594*g + 20857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*s**2 - 7*s + 1218*s**3 - 1364*s**3 + 5*s in the form n*s**2 + i*s + o*s**3 + v and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 232313.26 and 1.\nAnswer: 232313.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 240 - 337. What is j rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 73*v - 33. Determine j(-71).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/7 - 22*r**3\/7 + 156*r**2\/7 - 54*r + 243\/7.\nAnswer: (r - 9)**2*(r - 3)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*x = x - 2, -3*x = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 + 4*u**4 + 608*u**3 - 5056*u**2 + 7680*u = 0 for u.\nAnswer: -20, 0, 2, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 7*s**2 - s + 10. Let i be v(7). Find the second derivative of -2*c + c - 4*c**i + 2*c**3 wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 102198395?\nAnswer: 1\/20439679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuj when three letters picked without replacement from juujjjjjjjjjju.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 88. Let o be (-1 - w) + (-4)\/(-2). Let c be (-1 + 79)\/((-3)\/(-4)). Calculate the greatest common factor of o and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144*y**5 - 8*y**3 + y**2 + 1874*y - 6.\nAnswer: 2880*y**3 - 48*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 6, -184, 4 in increasing order.\nAnswer: -184, 4, 5, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((2*f - 1 + 1)*(0*f + 0*f + 3*f) - 3 + f**2 + 3).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*x = 16281 - 7804 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l + 3. Let f be h(4). Suppose -20*i = -19*i - 5*z + 12, 3*i - 12 = -z. Suppose -i*a + 0*a + f = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w**(-2)*w)))**(1\/8)*((w**5\/w)\/w)**(-27))**(-2\/101) assuming w is positive.\nAnswer: w**(325\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t. Let f(h) = 140*h + 271*h - 278*h + 2 + 165*h. Give f(w(c)).\nAnswer: -2682*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 9 = -3*l, 2*t = 5*l - 4*t - 14*t - 119 - 41 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 1181\/9. Let h = -66.5 + 67.502. Let s = -0.002 + h. Which is the third biggest value? (a) 2\/3 (b) s (c) -0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2753 divided by -1.\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28929 - -42364. List the prime factors of s.\nAnswer: 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 4*o + 2, -256*o + 3 = -f - 255*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 3. Let n be k(-5). Suppose -z = -4*z + 5*q - 1, -q = 2*z - 8. Calculate the remainder when z is divided by 2\/n - 36\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191 and 75827.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-11)*192\/(-336))\/(15\/(-55)))\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + j - 9 - j**3 + 0*j**3 + 6*j**2. Let w be x(6). Suppose 0*t - 9 = -3*t. Solve -a - w = 4*a + 3*q, t*a - 5*q = -29 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22.9. Let c = 0.4 + q. Put 0, c, -0.2 in descending order.\nAnswer: 0, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 5. Let c be z(5). Suppose -3*l + 4 + 2 = c. Let x(i) = i**3 - 2*i**2 + 2*i - 1. What are the prime factors of x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 309, 311, 313, 315, 317?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -941 - -1038. Let g = -0.088 + -96.612. Let t = g + l. Which is the second biggest value? (a) 0.1 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*3\/(-9)*1. Suppose 4*k - 1 + 3 = 2*x, -o*k - 6 = 4*x. Let l = 49 - 47. What is the smallest value in l, x, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26016 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 2*u + 0 + u**2 - 1\/6*u**3. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 - 1716*p**4 + 245384*p**3 - 11695112*p**2 - 245388*p + 11696828.\nAnswer: 4*(p - 143)**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2 + 0*i + 4*i + (3 - 2 + 1)*(5*i - 2*i - 4*i) - 2*i + 0 + 0)*(-11*i**4 - 61*i**4 - 41*i**4).\nAnswer: 339*i**5 + 226*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9965789 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/22 + 1 + 3519\/(-1518)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 = 4*v + 15. Suppose p = 4*z + z + 39, -z - v = -5*p. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b + 3 + 7*b - 2 + 0. What is the tens digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -9 in increasing order.\nAnswer: -9, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 (base 9) in base 4?\nAnswer: 10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180098*d*k**3 + 4*d*k**2 - 2*d*k - 2*d - 2*k**3 - 114*k - 905 wrt d.\nAnswer: 180098*k**3 + 4*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.36 + 19. Let s = 96.689 + -98.328901. Let v = s + l. Round v to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)*q*q)**(-7\/2)\/(q**(-4)*q**5) assuming q is positive.\nAnswer: q**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1581689408 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 11*c + 3139, 0 = 5*m + 4*c + 3996 - 82. Which is bigger: m or -784?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2797\/11 or 253?\nAnswer: 2797\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jml when three letters picked without replacement from alqulmuj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564816.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31265132 and 2552?\nAnswer: 687832904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 772357241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4406373848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 56) + -41 + 55.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3 + 3 - 3 + 2*s**2 + 2*s - 3. Suppose -27 = 2*w - 2*i - 7, 0 = -w - 2*i + 5. What are the prime factors of p(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5306 = -4*p, 2*w + 4*p - 3852 = 6748. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21491 by 457.\nAnswer: -21491\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*g**3 - 29*g**3 + 144*g**3.\nAnswer: 273*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*k - n + 5*n, -3*n - 23 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -217*n**3 + 6*n**2 + n**4 + 218*n**3 + 2*n - 11*n**2 + 2 in the form i*n + x*n**2 + g*n**3 + l*n**4 + j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*0.2856\nAnswer: -0.097104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8.15. Let l = c - 2.95. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) - sqrt(13)))**2 - ((sqrt(26)\/sqrt(2))**2 + 1) - ((sqrt(468) + 1 - sqrt(468))*6)**2.\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17155 (base 12) to base 11\nAnswer: -22908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(304) + sqrt(304) + ((sqrt(304) + sqrt(304) + sqrt(304) + -1)*5)**2 + 4)*3.\nAnswer: -1026435 + 8880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 44. Let g = z - 0.9. Which is the third smallest value? (a) 2\/9 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14543342\/7 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3407358 and 3036.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -6*g = -2*g - i*f - 28, -2*g - 2*f = -6. Suppose g = 5*q - 30. What is the remainder when 18 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxl when three letters picked without replacement from {l: 4, x: 2, j: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -21. Let p = 0.789 + -1.789. What is the nearest to -1\/2 in y, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*s + 10. Suppose -9*r + 18*r - 7695 = s. What are the prime factors of r?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*s - 1167 + 3819 = -564 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*m**2 + 518*m**2 + 32*m**2 + 329*m**2.\nAnswer: 721*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*y - 6, -4*g = 2*y + 4 + 2. Suppose 5*k + 5*f = -0*k + 25, 4*f = -k - y. Solve 0 = 2*n - 2*o - 2, k*n - 8 = 2*n + 2*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.105 (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 10*i - 8. Let h be t(-6). Let v(q) be the third derivative of 0 - 1\/100*q**5 + 0*q**3 + 0*q - 1\/40*q**h - 5*q**2. Solve v(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -19 + k - 9*k - 22*k. Let g(y) = -4*y + 38 + 14*y + 12*y + 17*y + 20*y. Let q(f) = 3*g(f) + 5*h(f). Differentiate q(z) wrt z.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24*x + 512. Give m(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5380385 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 303037 + -1b?\nAnswer: 30301b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*u + 12, 0 = 2*c + 2*c - 12. Let h = 57 + -40. Suppose -z = j - h, -5*z + u*j = -5*j - 115. Calculate the smallest common multiple of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*y + 2 - 20, 3*o + 2*y = 16. Suppose o = 5*p + 94. Let i = p + 26. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 22930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(-4)*(u*(((u\/(u\/u**(1\/2))*u)\/u)\/u)\/u)\/u)\/(u**(-2\/15)\/u**3)*(u*u**(2\/17))\/(u\/u**5*u)*(u**(-1\/3)\/u)**(-1\/16) assuming u is positive.\nAnswer: u**(13091\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31 + (-3724)\/(-140))\/(1\/(-5)). Let w be (-20)\/15*6\/(-4). Suppose 46 = w*d - 0*d. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2157, 2233, 2309?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*m*p*q**3 - 33*h**2*p**2*q + 2*h**2*p*q**2 - 67*m*p**2*q**3 + m*p*q wrt q.\nAnswer: 12*h**2*m*p - 402*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (3 + -1 - 2). Suppose -2*o + 6*o - 48 = x. Calculate the remainder when 44 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 0*m)*(2*m**2 + m**2 - 2*m**2) + (6 + 1 - m**2 - 1)*(10*m + 13*m - 2*m).\nAnswer: -24*m**3 + 126*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 36*v**2 - 2*v + 161. List the prime factors of c(-10).\nAnswer: 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.2, 1521 in descending order.\nAnswer: 1521, 12, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 60 - (4 - 5)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1 - 102*w + 210*w - w**2 - 103*w. Let r(g) = -g. What is q(c) + 6*r(c)?\nAnswer: -c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 989*q + 36 - 35 - 1273*q**2 - 988*q.\nAnswer: -1273*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*g - 9 = 16, 5*h + 34 = g. Let o = -10 - h. Let p(f) = -f**3 - 3*f**2 - 3*f - 3. Let b be p(o). Solve d = b - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(130)*-1*2*6)\/(-2*sqrt(50)\/sqrt(5)*6))**2.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -27. Let d = x + -9. Which is the closest to 0.1? (a) 1\/2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/19 - 71192*m**3\/19 + 997320*m**2\/19 + 8546400*m\/19 = 0. What is m?\nAnswer: -35610, -6, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 67*q**2 - 3131*q + 206502. Determine o(69).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 7*y**2 + 7. Let x be j(7). Let l(d) be the second derivative of -d**3\/6 + 5*d**2\/2 + 24*d + 1. Calculate l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*k - 2275 = 0, -26*r + 2*k + 455 = -25*r. What is the remainder when r is divided by 6\/(-30) - (-858)\/15?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(30) - (sqrt(30) + 1*sqrt(30))))*-6)\/((-1*sqrt(90))\/sqrt(9)) - ((sqrt(648)*-5)\/(sqrt(18)\/(3*sqrt(3))))**2.\nAnswer: -24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/2)*n))\/((n*(n*n**(2\/7)*n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((9\/13562)\/9*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 15. Suppose o*m - 32 = -4*u, 5*u - 25 = 2*m + 8. Suppose u + 3*v - 40*v**2 - 11 - 29*v = 0. Calculate v.\nAnswer: -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*k = 10, -13*c + k - 2 = -8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 66 = -11*t. Let g = t + -18. Sort -1, 0, g.\nAnswer: g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/2 + -45\/4. What is the smallest value in q, -0.4, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124035627.\nAnswer: 7, 41, 7400821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(12\/5)*l*l))**(-21) assuming l is positive.\nAnswer: l**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9680616 and 13.\nAnswer: 125848008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2. Let b(f) = 10*f**2. Let a(s) = -3*b(s) - 14*r(s). Let x(m) = -13*m**2. Calculate x(a(h)).\nAnswer: -52*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1444 + 1449. Solve -n = 4*m - 9 - 0, -2*m = z*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-522*j**2 - 28*j**3 + 522*j**2)*(-2*j**2 - 2*j**2 + 6*j**2 + (2 - 5 + 4)*(-64 + 64 - 40*j**2)).\nAnswer: 1064*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13539118 is divided by 1680?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 911 + -900. Solve d*n + 9 = 14*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51397 or 7761148\/151?\nAnswer: 51397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 837\/(-2835) + 9\/21. What is the nearest to -0.037 in 0, g, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5 + 1342*g**4 - 922854*g**3 - 3706126*g**2 - 4638332*g - 1856400 = 0?\nAnswer: -1092, -2, -1, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 7*f. Which is the closest to 0.2? (a) 1\/6 (b) 2\/15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*y - 0*r - 9, -2*r - 11 = 3*y. Let s = 6 + y. Which is smaller: 7\/3 or s?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 9:25 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/(sqrt(40)\/sqrt(5)) + sqrt(38) + sqrt(38) + (sqrt(38) - sqrt(152)*5))\/(sqrt(2)*-1*2*-6).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -142, 5, -14, 4, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + s - 4. Let w(m) = -2*m**3 - 7*m**2 + 3*m - 7. Determine 7*l(r) - 4*w(r).\nAnswer: r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.8 - 1.2. Let k = w - -19.4. Let l = -1 + 3\/2. Which is the third smallest value? (a) k (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 4, -4, 2\/217, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5*q + 5. Let k be p(5). Solve 2 = k*w - 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 135460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3274\/7407 + -2\/823. Let d = 242\/3 + -80. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -84*m - 51. Calculate the remainder when b(-2) is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 31*p**2 + p - 27. Let z(h) = -36*h - 77. Let g be z(-3). Let w be o(g). Solve 4*d - w = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 2*s + 2. Let d(t) = -21*t**2 - 11*t - 11. Let n(l) = 6*d(l) + 33*w(l). Let g(v) be the second derivative of -v**3\/6 + v. Give g(n(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnovco. What is prob of picking 1 n and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 9*n. Let u be c(9). Suppose u = 5*w - 3*w - 4. Suppose 5*b - 5*d - 5 = 0, 33 = 5*b + 5*d + 8. Solve r + t = 3*r - b, w*t - 3 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*t + 33, 2*o = 5*o + 5*t + 33. Let p be (4 + o)\/(3\/((-1134)\/4)). Let y be ((-6)\/p*3)\/(18\/42). Which is smaller: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*u = -48. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - m + 9 = 0, 0 = -3*o + o + 2*m + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -901.31 + 978.2. Let t = d - 77. Which is the smallest value? (a) t (b) 5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 3. Let u(r) = -r - 1. Let g(o) = -4*u(o) + 2*v(o). What is the derivative of g(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7345731 (base 8) to base 14\nAnswer: -38b8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130034.\nAnswer: 2, 79, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 476632 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 209*v**5\/75 - 14*v**4 + 8*v**3\/15 - 474*v**2. Factor z(o).\nAnswer: 4*(o - 2)*(209*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 3649618.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 5. Let t(s) = 5*s**3 - s + 1. Let p be t(1). Let u be 4\/(-5) - -1 - (-7833)\/35. Let f = u - 226. Let q(z) = z - 2. Give f*k(g) + p*q(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3225 + 4901. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 44 = -8*t + 3*w, 0 = 5*t + w - 36. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 12. Let j = 4 + 0. Let h be ((3\/2)\/3)\/(-2). What is the closest to h in 0.4, j, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189660.924 rounded to the nearest 1000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24965 greater than 24961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 3.5. Is 14 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*k + 612*k - 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (4867\/155 + 3\/5). Let r(c) = -13 + 3*c - 2*c - 13 - 2*c. Let v be r(o). Solve v*j = 3*m + 3 - 0, -3*m - 5 = -j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*x*x\/((x\/(x\/(x*x**(3\/7))*x))\/x))*x)\/x*(x*x**47*x*x)\/x*x)\/((x\/x**(-5))\/x**(-14)) assuming x is positive.\nAnswer: x**(206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 + 12*h**2\/5 + 9*h\/5 = 0. What is h?\nAnswer: -3\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1110627 - 738230. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85203 take away 1.80961?\nAnswer: -0.95758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = 2*z, -9*r = -5*z - 4*r + 15. Suppose -z*w + 210 = -0*w. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**2 - 3*p + 7. Let g(v) = v**2 + v - 2. What is -3*g(o) - j(o)?\nAnswer: 5*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -x**2 - 358932*x - 216793?\nAnswer: -2*x - 358932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14300329 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w. Let r(g) = -3*g**2 + 13462*g + 1. Calculate t(r(p)).\nAnswer: -36*p**2 + 161544*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082998 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 - 4*h + 6. What is n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 plus -14565.569832?\nAnswer: -14566.279832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**3 - m + 1. Let s be w(1). Let c = 1 - 6. Let a = s - c. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 divided by -1?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 5*a**2 + 5*a**2. Let i(v) be the second derivative of -v**3\/3 + 2*v. What is i(o(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/8*(18\/105)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:41 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -193. Let r = 10 + -4. Calculate the remainder when u is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 4. Let u be s(-5). Let f be 2 + u + -3 + 5. Solve -2*z = -z + f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*r + 13, -6*a - r = 667 - 659 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 14*a + 14*a)*(-3*a + 3*a**2 - 6*a + 11*a).\nAnswer: 3*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-140) + 48393\/4. Let d be ((-4)\/(-6))\/(j\/2421 + -5). Round d to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from moym?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:57 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlhs when four letters picked without replacement from {l: 2, s: 1, h: 7, x: 7}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 + 3. Let m be g(0). Let r = -8 - -13. Suppose 2*o - f = -4, 3 + 0 = r*o + 4*f. Put o, 0, m in decreasing order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5859675 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 23 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/6392676 and 161\/15981690.\nAnswer: 31963380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k + 17. What is w(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/672275?\nAnswer: -3\/672275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.23191, -1\/7, 0.4, 1\/5 in descending order.\nAnswer: 4.23191, 0.4, 1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 - (-138)\/(-30)) + 422\/220 and 101\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 - 7. Give m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 159*n - 475. Let l be o(3). Put l, 6, -5, -39 in ascending order.\nAnswer: -39, -5, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = 3*b. Suppose -j = j + b. Let u = 61 - j. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*j + 4, s + 4*j = -2*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(1\/4)*w)*w)**43*((w\/(w\/w**(-2\/5)*w))\/w)**1 assuming w is positive.\nAnswer: w**(597\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93b8a + -7f?\nAnswer: -93c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 318 = 66. Suppose -1608*m + 33 = f - 1613*m, -2*m - 42 = -4*f. What is the highest common divisor of s and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + (-169 - -214) - 15.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -188. Let i(d) = 3*d**2 + 79*d + 477. Let j be i(-21). Is j greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 1375668.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l - l**2 - 7917 + 8*l + 38*l**3 + 7918 as q*l**2 + b*l + k*l**3 + i and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9558 - -9558. Let w = 2 - 2.1. What is the closest to w in k, 3\/2, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by -38*9\/(-6)*5\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 4*d**2 + 4*d + 4. Let p(a) = -a**3 + a**2 + a + 1. What is -20*p(z) + 5*u(z)?\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d**3\/3 + d**2\/2 + 3*d. Let j be -1*(150\/(-22) - (-10)\/(-55)). Let f(c) = c**2 - 13*c - 3. Calculate j*b(q) + 2*f(q).\nAnswer: 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -73 (b) 1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 + 2*x**2 - 48199*x - 144599. Give p(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p + 6 = 0. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)*i**9*i**(2\/7)\/i**(-2\/7) assuming i is positive.\nAnswer: i**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1110750 by -1.\nAnswer: 1110750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 7*o**2\/2 + o + 9. Calculate z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185500789.\nAnswer: 185500789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8017649 millennia in months?\nAnswer: 9621.1788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/63? (a) 2 (b) 0.1 (c) 6\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 7*c**4\/24 + 401*c**3\/6 - 101*c**2. What is the units digit of u(59)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:56 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/11*u + 4\/11*u**3 - 2\/11*u**4 - 8\/11 + 6\/11*u**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 - 87 = 187*p + 817. Let h be 4\/(-26) - (-296)\/(-104). Sort p, 1, h in decreasing order.\nAnswer: 1, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1398121140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639248.\nAnswer: 2, 39953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/11*-3*(-5056)\/(-1896).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-14896)\/(-64) + 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9\/16, 0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272 - -272.5. What is the closest to 0.1 in c, -1\/10, 2, 63?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05927 - 1192.45927. Round j to the nearest 10.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6 - 2. Let h = 9 - t. Let i be 1*(3 + -2) + h. Solve -2*s - 4 = -i*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741005989?\nAnswer: 17, 5501, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -17*f**3 + 5*f**2 + 5*f + 5. Let z(b) = -18*b**3 + 4*b**2 + 4*b + 4. Calculate -4*j(y) + 5*z(y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174089.\nAnswer: 107, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 2, c: 5, y: 1, f: 4, d: 2}. What is prob of sequence qd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 465290 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: Multiply -11.5 and 223.\nAnswer: -2564.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57653 is divided by 28683.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37150 - -3?\nAnswer: -37146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*s**3 - 1172*s**3 - 1474*s**3 - 305*s**3.\nAnswer: -2222*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0 - -2)\/((-2)\/(-55)). Suppose 2*o = m - 51. Sort 6, 5, o in increasing order.\nAnswer: o, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52508*t**5 - 40*t**3 + t**2 - 40785*t + 5.\nAnswer: -3150480*t**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23562290 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100 a factor of 100892600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 - b**4\/2 + 5*b**3\/6 + b**2. Let s be f(-12). Suppose -c - 2 = -s. Sort -1, c, -4.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (162\/(-4))\/(99\/(-132)). What is the highest common divisor of 1062 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 103.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 372*u**5\/5 + 909*u**4 + 3759*u**3\/5 - 62901*u**2\/5 + 405*u = 0.\nAnswer: -9, -25\/4, 0, 1\/31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*a = -4*j + 52, -2*a - 3*j + 74 - 45 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 0.5 (d) -1 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 4*l + 5. Let y be f(-5). Suppose g - 122 = -y*b + 3*b, -2*g - 4*b = -234. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/(3 + (1 - 2)). Let i(d) = -d**2 - d + 5. What is i(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - 4*g - 3. Let v be l(-2). Suppose -v*z + 23 = -22. Suppose -z*t - 64 = -13*t. Calculate the greatest common divisor of 144 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 98*c = -63. Put -4, c, 26, 0.3 in decreasing order.\nAnswer: 26, c, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5347690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -782 + 380. Let q = -226 - g. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from vivpittpii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1001, 502, -329, -1492, -2987, -4814?\n\"Answer: -166*z**2 - z + 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -35. What is the common denominator of -7\/16 and j*3 + (-1071)\/72?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 take away 0.108?\nAnswer: -44.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*s**2 + 2*s**3 + 3*s**3 + 532*s**2.\nAnswer: 5*s**3 + 349*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38880 + 1632877\/42. Is r less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 2*l**2 + 1. Suppose 2*s = 3 + 1. Let m be b(s). What is the units digit of (-2 - -3 - 0)*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.99999985 + -62. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35056342 at least as big as -35056341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 10*y**2 + 8*y - 14. Let n be j(-7). Let w be 1 + 7 - (-3)\/(-3). What is the greatest common factor of n and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -47*v - 7*v - 316*v**3 - 532*v**2 + 768 + 127*v - 9*v + 58*v**3 - 2*v**5 - 40*v**4 = 0.\nAnswer: -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 5, q: 2, b: 1, j: 5, d: 1}. What is prob of picking 1 b, 1 u, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 12*m - 157. Let p(t) = 2*t + 1. Let r be p(-6). Let k = r + m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (721*n + 91 + 570*n - 1702*n + 588*n)*(0*n + 0*n + n) in the form z + w*n**2 + m*n and give w.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, -0.2, -533, 0.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-176372.56.\nAnswer: -282196.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/(2\/6). Suppose -6*a - 51 = -75. Sort a, m, 3 in increasing order.\nAnswer: m, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.001 (b) 191.7 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:19 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.15, 0.02, 3, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 302 - 298 = -50 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 68 + (-17)\/((-17)\/(-3)). Is -3 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/104)\/(3564\/(-288))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349512061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0 + 11*h**2 - 1\/6*h**4 + 1\/30*h**5 - 17\/6*h**3 + 0*h. Calculate the remainder when 88 is divided by t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 2, x: 1, g: 1, i: 1}. What is prob of sequence gri?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 28*g**2 - 1728*g + 450. Determine k(30).\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/2*1 + 37.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3429678 at least -3429662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 119*d**2 - 1273*d + 72775. Give q(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11408 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11133 + -55662\/5. Which is the closest to -23? (a) -0.5 (b) -0.51 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58256, -116492, -174728, -232970, -291224, -349496, -407792?\n\"Answer: -w**3 + 6*w**2 - 58247*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1321?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -153?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 969, 1445, 1901, 2331, 2729, 3089, 3405?\nAnswer: 3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 4\/5*f**3 - 33 + 0*f + 3\/10*f**4 + 1\/25*f**5 + 4\/5*f**2. Factor p(i).\nAnswer: i*(i + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22179)\/(-12) - -1)*(20 - 16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 818 (b) -3\/7 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*k = -21400, 5*n = -4*k - 0*k + 21403. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221215464 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 116134, 2 in ascending order.\nAnswer: 2, 3, 116134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 192 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 442698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -82. Suppose 9*d + b*d + 45 = 0. Sort 1, d, 39.\nAnswer: d, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17\/2 - 7)\/(1\/2). Let n(d) = 71*d**2 + 3*d - 14. Is n(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -10*k + 18392. Let q = 4268 - k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 1 = -10*g. Let h(a) = -a**2 - 2*a. Let m(w) = -50*w**2 + 54*w. Let d(q) = g*m(q) + 5*h(q). Find the second derivative of d(n) wrt n.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8688.132 - 8686.53199975. Let p = -1.6 + z. What is p rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f - 346. Calculate z(-33).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 209*f + 77. Let j(d) = -8*d - 3. Calculate 77*j(x) + 3*r(x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + (-35)\/3. Let w be (4\/6)\/((-6)\/63). Let k = w - t. Solve -o = k*l + 19, -3*l - 8 = -2*l - 4*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 5:21 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a + 5*a**2 - 2000 + 4011 - 3*a**2 + 4*a**2 - 2005. Let s(p) = 5*p**2 + 5*p + 7. What is -3*k(r) + 4*s(r)?\nAnswer: 2*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5731*u + 475739. What is j(-83)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, h: 5}. Give prob of sequence hf.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21411 + 4?\nAnswer: -21402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**3 + 7*z**2 - z. Let c(v) = 16*v**3 + 8*v**2 - 2*v. Let j(l) = 3*c(l) - 4*i(l). Let b be j(-2). What is the units digit of 2\/(-7) - b\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h. Let w be (-38)\/(-4) + 18\/(-12). Let b(y) = 2*y**2 - 5 + w*y + 5 - 11*y. Determine 2*b(m) - 3*d(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8.3. Let y = -0.7 - -3.7. Let n = y - 2.5. Sort 2\/13, n, z.\nAnswer: z, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/525 - w**6\/100 + w**5\/75 + 1045*w**2. Factor d(h).\nAnswer: 2*h**2*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = -130*q + 336 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 0, -94.\nAnswer: -94, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - o - 8*o)*(4*o**2 - 3*o**2 + 0*o**2) + o**3 + 3 - 3 + 3 + 8 + 27*o**3 - 12 to the form v*o**2 + u + l*o**3 + r*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.471 - 1.971. Sort -1, 10, y.\nAnswer: -1, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*q + 2, -5*p - 3 = 2. Solve -4*d = 4*b - 24, d - b + 3*b - 10 = q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 17, -4\/19?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 49893413.69 to the nearest 10000.\nAnswer: 49890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*h + 2, -5*h + 244 = -4*d + 246 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4137, 8228, 12323, 16422, 20525, 24632, 28743?\nAnswer: 32858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(190) - (sqrt(190) - (sqrt(190) - sqrt(190)*4) - sqrt(190))) + sqrt(190))\/sqrt(10) - (sqrt(1216) - -3*sqrt(1216)))*-4.\nAnswer: -264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 209873662 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 191705 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19497658 rounded to the nearest 100000?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 9a?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9122*m**2. Let n(p) = 43*p. Calculate l(n(z)).\nAnswer: -16866578*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 466 + -464. Let v(c) = 2*c**3 + 9*c**2 - 4. Let q(k) = k**3 + 4*k**2 - 2. Determine j*v(x) - 5*q(x).\nAnswer: -x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 20*m + 23. Let s be z(-2). Let l(k) = -14*k**3 - 20*k**2. Let w(v) = -5*v**3 - 7*v**2. What is s*w(p) + 6*l(p)?\nAnswer: p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*c - 3*c - 3, 0 = -2*b + 5*c + 15. Suppose 5*j - 3*a + 0*a = 14, 5*a - 2 = 2*j. Suppose 0 = 4*s - j - 12. Solve b*i - s*i + 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 657. Let z be g(0). Let m = -308 - z. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44 - 50) + (-8)\/(-1). Suppose -c*z - 15 - 95 = 4*g, g + z = -29. Does g = -80\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*7473.82.\nAnswer: 672643.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 2*n - 2*n)*(-n - 2*n + n) + 4*n**2 - n**2 - 2*n**2 + (79 + 168 + 3460*n**2 - 3461*n**2)*(-1 - 1 + 3) to the form g*n**2 + p*n + b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c**2 - 4*c - 2. Suppose 0*g = 5*g + 40. Let t be v(g). Suppose -i = -0*i - a - 212, -t = -5*i - a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*r - 35*r + 4*r - 41*r - 188 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 12*o + 14*o - 2)*(-6 + 3 - 2)*(-2 - 4*o + 2) to d*o**2 + a*o + w and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((4 + 2*sqrt(108) - (sqrt(108) - (sqrt(108) - (-2*(sqrt(108)*-2 + sqrt(108)) + sqrt(108)))) - (3 + (sqrt(108) - (sqrt(108) + 0)))*5) + 2))**2.\nAnswer: 432*sqrt(3) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6603548.\nAnswer: 2, 7, 17, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717909*s = 717896*s - 377 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/2505 (c) 1\/72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204*k**3 - 2262 wrt k?\nAnswer: 612*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8224*j**2 - 2*j - 2282. Let i(z) = 4*z**2 - z + 1. Let s(b) = i(b) - x(b). What is the second derivative of s(t) wrt t?\nAnswer: 16456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {a: 1, r: 4, e: 2, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 784 + -784.1985. Let k = s + -0.0305. What is k rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-147)\/28)\/(-7))\/((-30)\/(-8))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.096, -2\/7, -1\/2, -0.4 in decreasing order.\nAnswer: 1.096, -2\/7, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 2. Let d be -1 + 2 + -3*1. Let p be h(d). Suppose 14 + 42 = p*c. Calculate the remainder when 53 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 3*p**2 + 2*p - 3. Let w be a(-4). Let h = -1 + w. Calculate the lowest common multiple of 6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -11, -5 in descending order.\nAnswer: -5, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:44 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 4 = -12. Let s = l - -7. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 2. Let b be o(-4). Let k be (-1 - -2)*8 + b. Is 8\/20 + 96\/k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 + -134.2. Let t = -231\/4 + 58. Let n = t + 5\/12. Which is the nearest to n? (a) -4 (b) -2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/2 + 3. Let o = 8.27 - 9.27. Which is the nearest to o? (a) h (b) -0.02 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*c**3*p - 66016*b**3*c**3 + 2882*b**3*c**2 + c**3 + 38*c**2*p wrt c?\nAnswer: -18*b**3*p - 396096*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3 (c) 3\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*f + 61. Let s(a) = -4*a - 3. Let v(z) = 11*z + 10. Let n(w) = f*s(w) - 3*v(w). Determine n(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**7\/560 + f**5\/80 + 2*f**3 - 19. Let x(a) be the third derivative of j(a). Find r such that x(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*c = c - 2, 0 = -2*h + 3*c + 23. Let r = -4 + 6. Suppose -r*x = x - 9. What is the remainder when h is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 513 = 5*b - p, b - 3*p - 93 = 0. Let q be (b - (0 + 0))\/((-45)\/1230). Let g = q - -4889. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4, 5*y - 268 + 264 = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(2299) + 1)*-2)**2 + -2 + 1.\nAnswer: -352*sqrt(19) + 9259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -392.9999434 + 393. Round j to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3422226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 92 + 32. Let l = n - -33. Solve -3 = s - l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184936901.\nAnswer: 184936901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 340 = -3*u, -i + 72 = u - 42. Suppose -2*z = 3*z - 3*c + 169, -5*c - u = 3*z. Let n = z - -55. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 + 9 = 4*w, 5*g + 3*w = 18. Suppose -g*h + 4 = -5. Solve -12 = 5*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 2*s + 6)*(-4*s + 3*s - 6*s) + (s - 2 + 2)*(0*s + 7*s + 7*s) to m*s + n*s**2 + z and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 3*v, 2*v - 5 = -1. Suppose -b = 4*r + 3. Let u = 2 - 5. Is u greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.83 + 0.09. Let b = d + 0.08. Let y = 4.14 - b. What is y rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvriivriv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1055 and 1273 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-44 - (-36 - 81))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 284*p + 568. Let g(l) = -l**2 - l - 2. What is 284*g(m) + j(m)?\nAnswer: -284*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l*l*l**(-4)*l*l)*l)\/(l\/(l*l\/((l*(l*l\/(l**(2\/7)\/l))\/l)\/l))))\/(l**(2\/5))**6)**(-7\/11) assuming l is positive.\nAnswer: l**(39\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*j = 4 + 12, 0 = -5*m - 5*j + 30. Suppose -4*x + 480 = 4*r, -3*x - 2*x = -m*r - 636. Let p = -15 + x. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 - -33?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 5*r**2 - r - 10. Let v be q(-3). Suppose a - 2352 = -v*u, 0 = 5*u - 5*a - 908 - 4987. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 2*h**5\/15 - 25*h**4 + 296*h**3\/3 - 442*h**2\/3 + 98*h + 3500. Solve g(s) = 0 for s.\nAnswer: 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/4)\/n))**42\/(n*n*n**(-1\/4)*n*n*n)**(2\/63))**(-19) assuming n is positive.\nAnswer: n**(-112936\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*h + 74*h + 13884 = 0 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-240)*(-25)\/5 - -77.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = -5*c, -5*m + 5 = -2*c + 6*c. Let t be (2 - 3) + 2*13. Suppose p = -4*p + t, -25 = 5*i - 5*p. Solve o + i - c = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 2*z + 6116, -5*z - 15307 = j. Is z greater than or equal to -3061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 126299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585915.8um to centimeters.\nAnswer: 58.59158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2274 - -2277. Solve -13*z - s = -15*z - 6, 3*z - t*s + 6 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83026, 82685, 82344, 82003?\nAnswer: 81662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/(4\/42). Let p = 9 - x. Solve -1 = p*h + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-36)\/(-45)) + 0\/(-1). Solve -32*z + 30*z = -a + k, 2*z = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0, -11 in increasing order.\nAnswer: -90, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**4*x**3 + 4*d**4 - 2*d**3*x**3 + 14*d**2*x**3 - 27*d**2 + d*x**3 wrt d?\nAnswer: 72*d*x**3 + 96*d - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 2*v**6\/5 + 25*v**3\/6 - 27*v. What is the second derivative of o(p) wrt p?\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 6870.\nAnswer: 240450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*i**3 - 3411*a**2*i - 4*a*i**3 - 27*i**2 wrt i?\nAnswer: 24*a**2*i - 24*a*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2414128\nAnswer: 4828256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 178990 divided by 14\nAnswer: 12785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216 + -225. Let y(n) = 10*n**3 + n**2 + 3*n + 1. Let m(c) = -c**2 - c - 1. Let q(x) = -2*m(x) - y(x). Let o be q(1). Is o at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 72475.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.97279697 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**4 - 50*z**3 + 65*z**2 + 120*z = 0.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - (-79)\/9. Suppose -3*c + 3*d = -297, 55 - 253 = -2*c - 4*d. What is the greatest common divisor of c and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 17805021?\nAnswer: -5\/17805021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/90 + 53*g**4\/36 + 52*g**3\/9 + 3*g**2 - 3*g. Solve x(p) = 0.\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2056 and 20.\nAnswer: 10280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Let s = -0.54 + -4.06. Let k = s - -5. Put k, 1, v in decreasing order.\nAnswer: 1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-44) - 3\/12. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4175721 and 1125?\nAnswer: 521965125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 311335151?\nAnswer: 311335145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 58402\nAnswer: -700824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13740927 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 10a3?\nAnswer: 10a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, -1 in ascending order.\nAnswer: -22, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -43*k**2 - 937*k + 959. Let x(o) = -19*o**2 - 469*o + 479. Let h(t) = 7*x(t) - 3*z(t). Factor h(p).\nAnswer: -4*(p - 1)*(p + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 5}. Give prob of sequence chh.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 638.3 + -638.2. Let c = 0.2 - 0.4. Let d be (-1)\/8*2*1. What is the second smallest value in c, k, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Which is the nearest to 2\/3? (a) -1\/4 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 42. Let s = 0.914 + -25.114. Let t = s + q. What is the second biggest value in -5, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1116 - 8925\/8. Let y(g) be the second derivative of 0 + 1\/6*g**3 + q*g**2 + 1\/48*g**4 - 5*g. Factor y(v).\nAnswer: (v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 81. Let u(z) = z**2 - z. Let j be u(-1). Let o(h) = 1 + h**j + 4*h**2 - 8*h**2. Determine o(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let y(d) = -30274686*d. Calculate n(y(q)).\nAnswer: 30274686*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let w(u) = -u**3 + 2*u**2 - 2*u + 1. Let v be w(2). Let j(n) = 2*n. Let o(d) = -2*d + 55. Let i be o(24). What is i*b(h) + v*j(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -35*m - 6*m - 1418 + 1391 - 65*m. Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445450.\nAnswer: 2, 5, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239 + 913. What is the greatest common divisor of 72 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j)\/j)\/j)**41*(j**3)**19 assuming j is positive.\nAnswer: j**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -4\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:13 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 15*w = 11*w + 33, w + 3 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 14. Calculate l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:24 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxnxggnxggag. Give prob of picking 2 n, 1 x, and 1 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*z + 92, -2*z = -5*p + 21 + 122. Suppose -129*f + 126*f = -p. Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6252*g**5 + 6577*g**3 + 21681677*g - 1?\nAnswer: -125040*g**3 + 39462*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16786363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 4144.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26652?\nAnswer: 2, 3, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 1100?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -0.1, 13, 3\/2, -2\/7, 0.16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 15. Let k(b) = -14*b - 2. Calculate k(t(u)).\nAnswer: -14*u**2 - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 + 5403*m**2 - 7 - 5401*m**2 + (-2*m + 3*m - 2*m)*(-m - m + 3*m).\nAnswer: m**2 - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 4*i**2 + 4*i + 4. Let v(c) = 29*c**3 + 33*c**2 + 5*c - 33 - 38*c - 5*c**3. Determine 4*v(o) + 33*y(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54531 - 43?\nAnswer: 54444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/60 - l**4\/6 + l**2. Factor t(w).\nAnswer: w*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (2 + -18 - (115 + -129)) - 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -238?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 177890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 79*m**5\/60 - 168*m**2. Let u(r) = -r. Give j(u(z)).\nAnswer: 79*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.091, -5, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-5)\/10 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 + 36*l**2 + 3*l - 47. Let f be n(18). Solve 14 = -4*q - 3*y, 5*q + f*y + 15 = 2*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (207\/(-18))\/(2*(-1)\/4). Suppose -53 = -5*t - s. What is the remainder when t is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 31 + 27 = -4*q, -4*k + 26 = 5*q. Solve a = -6*b + 2*b + q, -4*b = 2*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - 2*q)*(48 + 19*q**3 - 48).\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1919*p. Let w(b) = 2486*b. What is w(r(j))?\nAnswer: 4770634*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 418*j**2\/5 - 5798*j - 133510.\nAnswer: -2*(j + 65)**2*(j + 79)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26711 - -26704. Which is the second biggest value? (a) 19 (b) -5 (c) q (d) 1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601197 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1467 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8505512087?\nAnswer: 8505512087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*x + 119 = 0, 4*g + 4*x - 2*x - 90 = 0. Suppose -3*z - 5 + g = 0. Find the common denominator of -26\/7 and ((-1 - -3)\/2)\/(61\/z).\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885997837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2 + 1950*q - 7752 = 0.\nAnswer: 4, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -329324 divided by -167\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -153940 to the nearest one thousand.\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let v(d) = -420*d. Determine j(v(a)).\nAnswer: -840*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3944180729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 + -1010101100101111?\nAnswer: -1010101110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l + 24*l + l + 10*l as d + t*l and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 16*l + 1. Let n be u(-16). Let b(p) = -p**3 + 6*p**2 - 4*p - 1. Let s be b(5). Suppose s*w + n = 13. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/3 - 35\/6. Let m be 2\/(-5) + (-1672)\/20. Find the common denominator of u and (11\/(-3))\/(m\/(-36)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38611753.\nAnswer: 1559, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0346*-21\nAnswer: -0.7266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 divided by 1516870?\nAnswer: 327\/758435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12)*5)\/((-825)\/110).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108619523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -52017?\nAnswer: -5201.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*((-1104)\/(-8) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y - 75. Determine m(-9).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98726*d**2*h - d**2 - 575*d + 15 wrt h.\nAnswer: 98726*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 16*s + 15. What is the lowest common multiple of 4 and k(-7)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 9. Let l = -21 + 23. Let s(g) be the second derivative of -2*g**2 + 1\/3*g**3 - l*g + 0. Calculate -4*k(p) - 9*s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:55 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*w + 23725 = 105*w - 177*w for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.26 - -0.26. Let n = k - -11. Let z = 9.9 - n. Which is bigger: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/9)\/(2976\/(-72))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04459 and 48309.\nAnswer: 48309.04459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -172667023 minus -19.05?\nAnswer: -172667003.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11322634 = -31*y + 15363766. What is y rounded to the nearest ten thousand?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 1 = 5*z + 4*p, -5*p + 25 = 0. Suppose -z*a + 2*a = 0. Suppose a = -3*d + d + 220. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + j + 9, v - 4*j + 13 = 0. Suppose 3*x = -v + 55. Calculate the remainder when 172 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -1\/44513, 1\/12?\nAnswer: -1\/44513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95923 = 95918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*d**3 - 17*b*d**2 - 8732929*b*d - 17385*d**3 + 47*d**2 - 5*d wrt d.\nAnswer: -6*b*d - 34*b - 104310*d + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252505260 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1284 + 1894. Let p be (-2 - v\/25)*390\/(-4). Let m(o) = 2574 - 5*o**2 - p. Let u(y) = 3*y**2. Give u(m(j)).\nAnswer: 75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28782882489 - -2\nAnswer: -28782882487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1450*d - 1380*d - 1050 = 0 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*c + 6*c - 150 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12936*o**2 + 12936*o**2 + 291*o**5 + (2*o - 2*o + 2*o**2)*(0*o + 0*o - o**3) + 0*o**5 - 4*o**5 + 3*o**5 - 4*o**5 + 2*o**5 + o**5.\nAnswer: 287*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 94*y**3 + 223*y**2 - 175*y + 1. Calculate f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63490.35 centimeters to nanometers.\nAnswer: 634903500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3747688?\nAnswer: 2, 7, 66923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2714978.9454531 - -0.4\nAnswer: -2714978.5454531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1472 + -1568 - ((0 - 5) + 23).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*r + 220 = -0*b, -2*r = 2*b + 96. Let l = b - -82. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*z - v - 2, -z - 2*v = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 14, 17*f - 16*f = -4*u + 126. What is the smallest common multiple of 234 and u?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/13, 0.1, 0.3, -27902?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzva when four letters picked without replacement from {c: 2, p: 3, a: 4, v: 1, k: 2, z: 2}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 16*v + 34980 = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -10, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 106*h**3 - 5 + 317*h - 61*h**3 - 43*h**4 + 62*h**3 + 44*h**4 - 2*h**2 wrt h?\nAnswer: 24*h + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v**3 + 5 + 7*v**3 + 42*v**3 in the form u*v + o*v**3 + m + y*v**2 and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -8*n**4\/9 + 44614*n**3\/9 + 100412*n**2\/9 + 55790*n\/9 = 0.\nAnswer: -5\/4, -1, 0, 5579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1 - 1\/((-274)\/(-44) + -6). What is the third biggest value in n, 10, 0.1, 159?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h - 2. Let j(v) = 6*v - 1. Let o be 12\/(-162) - (-6952)\/(-2376). Give o*j(z) + 2*g(z).\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81.32796 and -5.\nAnswer: -406.6398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {j: 4, e: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/125 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 21*x - 21876 = 0. List the prime factors of x.\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8437378 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -676*w**2 + 1. Let k(z) = 2106*z**2 - 701*z**2 - 703*z**2 - 700*z**2. Calculate k(v(b)).\nAnswer: 913952*b**4 - 2704*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**4\/8 + 13*q**3\/3 - 17*q**2. Let z be j(-8). Suppose z*f = -9 - 9. Which is smaller: -7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063818 is divided by 151695?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + m + 9. Suppose 0 = 24*x - 22*x. What is g(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9415.365 rounded to the nearest 100?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 91*p**3 - 2*p**2 + 2*p. Let l(z) = -z**2 + 3*z**3 + 9*z**3 - 1 - 11*z**3. Let i(h) = 2*l(h) - r(h). Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Suppose -24 = -4*g + 5*r - 3*r, 3*r = 2*g - 12. Let b be n(g). Let w(f) = 2*f - 4. Determine w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/1794 and -43\/1170?\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 416*a*q**2*s - 5*a*q + 7208*a + 3*q**2 - 194*q*s + 23*q - 1475*s wrt a.\nAnswer: 416*q**2*s - 5*q + 7208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135, 511, 1121, 1959, 3019, 4295?\n\"Answer: -c**3 + 123*c**2 + 14*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ef457 (base 16) to base 13.\nAnswer: 28411b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k - 1. Let d = -10 + 16. Let f(m) = 21*m**3 - 33*m**2 + 12*m - 6. Let n(a) = d*l(a) - f(a). Factor n(r).\nAnswer: -3*r*(r - 1)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:20 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -28. Suppose -12 = -x*h + 49*h. Solve 3*k - h = -18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 1.08. Let g = 0 - v. What is the second biggest value in -4, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let l(y) = 52*y**2 - 108*y - 16. Let x(a) = -17*a**2 + 36*a + 5. Let n(i) = p*l(i) + 8*x(i). Factor n(r).\nAnswer: 4*(r - 2)*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6588 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5 + 152*t**4 - 59186*t**3 - 606560*t**2 + 783336*t + 1330560 = 0.\nAnswer: -210, -11, -1, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*t - 23 = 0, -2*n + 0*n + 9 = 5*t. Suppose n*i + 0*i = 490. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29162185 - 17740.16.\nAnswer: -29179925.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i - 2*i + 945 = 2790 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -5, 4, 0, -4 in ascending order.\nAnswer: -5, -4, 0, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 72*a - 132012 - 7*a**2 + 4*a**2 + 131592 = 0.\nAnswer: 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 124. Calculate the remainder when g is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 10*b**2 + 9*b + 6. Let c be f(9). Suppose 0 = -c*w + 3*w + 18. What is the third derivative of 0*s**4 + s**w + 0*s**4 + 2*s**2 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4707 and 1339926.\nAnswer: 4019778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.4073 - -0.1027. Let i = w - 83. Round i to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6.16. Let y = 0.04 + x. Let j = -79 + 68. What is the third smallest value in -1\/8, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.64 less than -4413.8?\nAnswer: -4668.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/4630 + -74521\/2041830. What is the common denominator of -82\/63 and s?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 3*b**2 + 0*b**2 in the form d*b**2 + u*b + t and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 - 8*y**3 + 5*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18369 and 3.95?\nAnswer: 72557.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (-2*sqrt(27))**2.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5498270 divided by 549827.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -166921650 divided by 75?\nAnswer: -2225622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 - 233*s\/3 + 464\/3.\nAnswer: (s - 464)*(s - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81767911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/200*(252\/96)\/21.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.07 + -15. Let j = 4.07 - o. Which is the nearest to -0.2? (a) j (b) 1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 73. Let g be o(-33). Suppose -g*v = -3175 - 836. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 304.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/28)\/(2\/16). Let f be t\/(-10)*16\/(-24). Let s = -0.1 + 0.1. Put 3, s, f in descending order.\nAnswer: 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4 + 504*o**3 - 8577*o**2 - 153624*o - 144540 = 0.\nAnswer: -10, -1, 33, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 3)*4)**2.\nAnswer: 960*sqrt(19) + 30544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2718 + -2716. Let d(m) be the first derivative of 0*m**4 + 0*m - 13 + 0*m**5 + 9\/2*m**n + 7\/6*m**6 + 0*m**3. Find the second derivative of d(q) wrt q.\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 722*g**3 + 149302*g**2 - 14061930*g + 279328050.\nAnswer: 2*(g + 281)*(19*g - 705)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 136, 2, 222, 4, 5, -1 in descending order.\nAnswer: 222, 136, 5, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/224 and -79\/336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**2 + c - 21 - 4*c + 2*c + 0*c**2. Give z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 88, 242, 468, 772, 1160?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-28)\/(z**15\/z*z*z\/z**(4\/5)))**(12\/13) assuming z is positive.\nAnswer: z**(-2592\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let m = -4 + 15. Calculate the highest common divisor of b and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11013 = 3*u - r, -17*u - 5*r + 14684 = -13*u. Suppose 9*i - u - 2746 = 0. What is the greatest common factor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as -1459\/180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -77. Suppose -5*t = -j*f - 5*f + 45, -f - 5*t + 9 = 0. Suppose f*d + 4*d - 16978 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 611*a**6\/120 + 23*a**5\/10 - 25*a**2 + 16*a. Find the third derivative of x(y) wrt y.\nAnswer: 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 564, -9, 4, -3 in decreasing order.\nAnswer: 564, 5, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**4 - b**3 - b**2 + b + 2. Let i(p) = -31*p**4 + 6*p**3 + 28*p**2 + 36*p + 8. Let s(y) = -5*i(y) + 20*z(y). Factor s(f).\nAnswer: -5*f*(f + 2)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*n - 4*n**2 + 219*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*f = 3*o - 472, f - 472 = -4*o. Round o to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80*891062\nAnswer: 71284960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*2\/(-16))\/(-1)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k - 5. Let v(t) = 78*t + 66. Let z(j) = 2*v(j) + 27*y(j). Suppose -10 - 28 = 19*g. List the prime factors of z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 4*r + r + (-3 + 2 + 4)*(6 - 5*r - 6) + (0 + 8 - 2)*(3 - 3 - 2*r) + r - 3*r + 0*r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.8 (b) 1\/3 (c) 0.1 (d) -2\/3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q - 0*p - 2*p, 6 = -3*p. What is the second derivative of 2*c**4 + 2*c + 0*c**4 - q*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 120 = -30. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1125) - 3*4*sqrt(1125))\/(sqrt(90)\/sqrt(40) - sqrt(108)\/sqrt(3)).\nAnswer: -4 + 110*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 4562418*w + 1734638167227.\nAnswer: 3*(w - 760403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -33, -3 in decreasing order.\nAnswer: -1, -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.1 - -0.4. Let w = -10 + d. Which is the third smallest value? (a) -1\/4 (b) -1\/14 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733883 is divided by 26210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 96. Let z be v(-25). Suppose -2*r - 2*m = 2, -11 = z*r - 5*r + 3*m. Solve 7 = -y + r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 3. Let i(g) = -g - 2. What is the units digit of i(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 5*g**2 + 2*g**2)*(-5*g**3 + 2*g**3 + 2*g**3) + 2 - 2 - g**5.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 - (-1 + 1) - (-16 - -18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.232 - 8.048. Let u = -9 - a. What is u rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10979 is divided by 1832.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 77*h**2 - 369*h + 806. Give p(72).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -19. Solve -3*y - w = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 2\/15, 3\/2, -2, 0 in ascending order.\nAnswer: -2, 0, 2\/23, 2\/15, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, b: 4}. What is prob of picking 2 b and 2 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8908.\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 8*v + 44. What is x(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109348*k - 55329*k + 1548*k**2 - 62992*k wrt k?\nAnswer: 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(3*(0 - 50\/374910)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.86*-0.5\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**5 - y**2 + y + 1. Let p(g) = -1643*g**6 + 5*g**5 + 66*g - 5. Let d(s) = -p(s) - 5*w(s). What is the third derivative of d(a) wrt a?\nAnswer: 197160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780405 is divided by 65028.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31448, -31452, -31450, -31442, -31428, -31408?\nAnswer: -31382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198082, 197420, 196760, 196102?\nAnswer: 195446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6340\/990 - (-2)\/(-11). Is q >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61100981 to the power of 1\/2, to the nearest integer?\nAnswer: 7817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-12))\/1*4. Suppose 2*h + 2*h - 20 = 0. Sort s, 4, h.\nAnswer: s, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1594*c + 8 = -1559*c - 62. Let v(r) = 27*r**2 - 2. Let p(f) = -f**2 - 1. What is c*p(j) - v(j)?\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6 - 1)\/(56\/(-8652)). Suppose a = -20*p + 423. What is the greatest common divisor of 304 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5 + 48*l**4 + 132*l**3 - 152*l**2 - 528*l - 288 = 0. What is l?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 440 + 1675 = 0. Let r = 157 - f. Solve -3*u = -o - r, -2*u - o + 12 = -2*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2) + 3 + -27. Let u be 15\/20 + m\/24. Which is the smallest value? (a) -0.5 (b) u (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2325491580 and 67.57.\nAnswer: 2325491647.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*j**2 + 525*j**2 - 249*j**2 - 4*j**3.\nAnswer: -4*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 15*c - 816. What is s(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 281932.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2598\/(-7794))\/(42\/(-4))\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*y = -194*y + 3624 - 1400. Suppose y*j**2 + 0 + 0*j - 8\/3*j**3 - 4\/3*j**4 = 0. What is j?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 108 = -14*h, 6385*h - 6381*h = 4*a - 68 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*k + 33, -5*q - 9 = -k + 15. Suppose 3*g = g + 2. What is the lowest common multiple of k and 0 + -1 - (g + -9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 13938303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71.9 + 72. Let f = -10 - -15. What is the nearest to b in f, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-26)\/6 + (0 - -2). Which is the biggest value? (a) 3 (b) -7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + 3 - 5 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51951, 103901, 155851, 207801, 259751, 311701?\n\"Answer: 51950*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**5 + 3181*w**4 + 50*w**2 + 9288965*w.\nAnswer: -20*w**3 + 38172*w**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-5) - -1) + 2. Let f be 0 + p + (-9)\/9. Suppose f = -y - 2*o + 28, -105 = -5*y - 3*o - 0*o. What is the smallest common multiple of 8 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -3*z + 37, 3*s + 46 = 4*z. Let w be 20 - (-30)\/(z + -7). What is the greatest common factor of w and 1175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let n be ((-30)\/(-7))\/((-3)\/(-21)). Let j be 4\/35 + n\/105. What is the third biggest value in c, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/14*(-1)\/2. Let k = -8 + 5. Let t(h) = 5*h + 31. Let d be t(-6). What is the third biggest value in v, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l. Let f(t) = 17654*t**2. Determine f(q(g)).\nAnswer: 70616*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000) - (sqrt(1000) - sqrt(1000)*2)) + sqrt(1000))\/(-4*(sqrt(72) - sqrt(8) - sqrt(8))).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.381*-5\nAnswer: 6.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:28 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 1\/4, 134\/7, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112)\/sqrt(4))**2 + -3.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z*z)\/z**(1\/21))\/((z*z\/(z\/(z\/(z*z\/(z*(z\/z**(-1\/3))\/z)))))\/(z*z*z*z\/((z**(-6)\/z)\/z))) assuming z is positive.\nAnswer: z**(307\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001 - 1?\nAnswer: 101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44570079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1762506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2. Let c(b) = 7*b**2. Let d(y) = c(y) + 5*m(y). Let k(q) be the first derivative of -q**3 + 2. What is k(d(v))?\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 8.9642\nAnswer: -286.8544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301333075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + m**4 - 2 - 3*m - 4*m + 5*m**2 - 26*m**4 + m to g*m**4 + x*m**2 + b*m**3 + i*m + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*16\/192 - ((-738)\/24 + 5)*2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, -2\/5, 2\/7, 7138?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/440)\/(39\/130). Sort c, -0.2, 8 in descending order.\nAnswer: 8, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 101*s**2 + 965*s - 108840. What is k(102)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 182, 12, 2\/7, -24?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i**3 + 163*i**3 - 6 + 4.\nAnswer: 134*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449645257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -84. Solve a - 3*a = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-7)\/(364\/(-12))). Suppose -3*f = h + 17. Let k be 64\/(-56)*7\/f. Which is the nearest to 0? (a) -5 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1135747.76\nAnswer: 5678738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003968651 to six decimal places.\nAnswer: 0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*r**4 - r**2 - 1648*r + 42459 wrt r?\nAnswer: 24*r**3 - 2*r - 1648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o**2. Let k(t) = 13240*t**2. Determine k(x(q)).\nAnswer: 2595040*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - 2*x**5 - 4*x**4 + (10*x**3 - 10*x**2 + 10*x**2)*(-9*x**2 + 19*x**2 - 35*x**2) + 4*x**5 + 2*x**5 - 4*x**5.\nAnswer: -250*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -6948.\nAnswer: -11\/3474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -17. Let j(m) = -m**3 + 15*m**2 - 17*m + 35. Let t be j(14). Let i(u) = -u**2 - 7*u + 17. What is the remainder when i(t) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -13 - ((1 - 0) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = -n + 16, -3*k + 15 = n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210001 (base 4) in base 9?\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z - z + 13*z + 57*z**2 + 10*z + 33*z.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (0 - 4) - -46. Let o be -15 + (14\/m - 18\/14). Let a = 16 + -33. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/14 + 24\/(-56). What is the nearest to 2 in 2\/59, -5, a?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -310617, -58, 1\/6, -4 in decreasing order.\nAnswer: 1\/6, -4, -58, -310617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.033 - -0.367. Is g > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(sqrt(15)*-3 - sqrt(15) - sqrt(15)) - sqrt(15) - sqrt(15)))\/(sqrt(9)\/(sqrt(432)*-2)).\nAnswer: -168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4.3. Let t be 2 - (8\/(-420)*-7 - 77\/(-35)). Which is the biggest value? (a) t (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -30. Which is the nearest to i? (a) -0.1 (b) -1\/3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00315 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*1.9\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let g(u) = -1 + 3*u + 26*u + 1. Let j(s) = -30*s. Let i(r) = 6*g(r) + 5*j(r). Calculate i(t(h)).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -10*l + 14670. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 10*f - 15. Let r be y(-8). Let o be r\/(-2) + (55\/2)\/5. Solve 0*s = 5*s + 3*j + 26, -s = o*j + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 10*u**2 - 14*u - 7. Let z be y(-9). Let c = z + -36. What is the third smallest value in 0, c, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:21 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 - 40*m**4 - 32*m**3 + 40*m**2 + 36*m = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98826020 + -98826011.8999931. Let l = w + -8.1. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from oqqooqfooqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, k: 11}. What is prob of sequence fff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) -1 (c) -3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 1\/10, 231.7012, 3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 + 304 - 299 + 2*x + x**3 + 2*x. Suppose 3*s = 4*s - 14. Calculate the remainder when p(3) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let j(q) = 41*q**2 - 6*q - 12. Let n(u) = -13031*u**2 + 1909*u + 3818. Let z(l) = -1909*j(l) - 6*n(l). Determine p(z(s)).\nAnswer: 6889*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10164\/(-264) + (9 - (-13 + -6))\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -926, -922, -916, -908, -898, -886, -872?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 41*h + 3. Let x be a(-19). Suppose r + 5*p = 45, -2*r + 21*p + x = 16*p. Calculate the highest common divisor of r and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326815377 a multiple of 5587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*-6*(sqrt(1008) + -1) + -5 + -3 + -2*sqrt(1008)*2)**2.\nAnswer: -130560*sqrt(7) + 4667392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and -68360453939647.\nAnswer: -68360453939647.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(11)*-5 + sqrt(11) + -2*(2 + sqrt(11) + sqrt(11)))*1)**2 + ((-3*sqrt(66) + sqrt(66))*-2 + sqrt(66) - sqrt(66))\/((sqrt(66)*-1)\/sqrt(11)).\nAnswer: 140*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*m**2 + 225 + 285\/4*m.\nAnswer: -5*(m - 60)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 489274, 978538, 1467802, 1957066?\n\"Answer: 489264*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 7:54 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/11 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7670833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5+-1540193.5\nAnswer: -1540198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.9820592 to one dp.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 6, j: 1, e: 8, t: 1}. What is prob of sequence an?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j + 62*j + 205 = 0. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from kmbbmhhhxxxkmxzb?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 950 - 950.14. Which is the nearest to -1? (a) -3\/7 (b) p (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12654 - -12515) + (0 - -137)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-6.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4 + 6567*g**3 - 13158*g**2 - 26268*g + 52584 = 0?\nAnswer: -2191, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282449032.\nAnswer: 2, 61, 578789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**4 + x**4 + x**3 - 2*x + 2*x**2 + 3*x to m + q*x**2 + f*x + n*x**4 + y*x**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 489621251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:20 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 4:33 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/8)\/(2\/1083832). Let q(v) = -1003764*v**2 - v - 5. Let j be q(-2). Let l = j + z. What is l rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + c - 2. Let d be 12\/20 + (-26)\/10. Determine w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-184) + (-36)\/(-115). Which is the biggest value? (a) z (b) -4.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 17 - -4 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1229.139 centuries?\nAnswer: 122.9139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 14 = -3*x, 9 = -3*n + 3*x. Let v be (17 - 17)*n\/(-3). Suppose 2*c - c - 118 = v. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 7}. What is prob of picking 4 m?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 3*s**2 - 7*s - 1\/2*s**3 + 8. Let b(z) = -z + 3. Let o(r) = -r + 1. Let j be o(6). Calculate j*b(h) + 2*q(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -82. Solve -a + 0*a + j = -4*t, 0 = 4*a + 4*t + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13365333.\nAnswer: 3, 1485037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*b - 196. Suppose 0 = -2*u + 6*u + b. Let k = 103 - u. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24393040)\/(-580930) - 42\/1.\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p - 40. Let j(n) = 16*n + 41. Let o(y) = 64*y + 165. Let t(k) = -9*j(k) + 2*o(k). Let m(q) = -3*g(q) + 4*t(q). Differentiate m(d) wrt d.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1. Let r(h) = -h - 6. Let z(q) = -3*b(q) - r(q). Let o be z(-6). Solve -9 = -4*d + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 76?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57746 + 7?\nAnswer: 57753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b - 2*b. Let w = 8 + -6. Suppose -w = -b*y + 16. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-240)\/108)*(6 + 5706\/(-945))\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76131 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4688\/3, -4\/37, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15108)\/(-10) - (36\/(-5) - -7). Suppose 1514*x - 270 = c*x. What is the highest common divisor of x and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 2:14 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12400 = 431*p + 809*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1026586693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgwmgdddkkmw. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72.5 + 63. Let i = -58.5 - j. Let q = i - -46. What is the second smallest value in 2, q, -14, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/48 + b**3\/12 - b**2\/8 - 4*b - 2. Let d(a) be the first derivative of i(a). Find x such that d(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + 10. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 7 + 2*t**3 + 0*t**2 + 2*t**2 - 2*t**4 in the form n*t**2 + i*t**3 + y + p*t**4 + k*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2934?\nAnswer: -5\/2934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 2682407662*z - 2682407662*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 39045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 78*s - 168.\nAnswer: 3*(s - 28)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3*z + 13 + 14, 13 = -l + 4*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - (-10 - (-16 - -8) - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 24*h - 1361. Calculate x(53).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19382348 and 16.\nAnswer: 77529392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 18*m**2 + 6*m**2)*(3*m + 0*m**2 + m**2 + 0*m**2).\nAnswer: -8*m**4 - 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -145215, -145597, -145979, -146361?\n\"Answer: -382*n - 144833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4300*k*r**2 - 19*k + 4*r wrt r?\nAnswer: -8600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y - 18. Let r(w) = 6*w - 9. Calculate 7*r(s) - 4*v(s).\nAnswer: -2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 19*z - 20 = 0. Which is the closest to 0.1? (a) 7 (b) z (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -30, -3, 1\/3, -610 in decreasing order.\nAnswer: 1\/3, -3\/4, -3, -30, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53034392.\nAnswer: 2, 59, 112361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, 58, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264485349729 + 0.5.\nAnswer: -264485349728.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1380)*3*676\/169?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpmge. What is prob of picking 1 g, 1 e, 1 m, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 12. Let r be 2\/(-3 - -1) + 1. Let s be 4 + (1 - 2) - r. Solve -s*c = f*a + 12, -4*a + 20 = -5*c + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -17, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1381\/12 + -115. Let k(x) be the first derivative of 1 - 1\/4*x**2 - s*x**3 - 1\/4*x. Let k(c) = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1826.7 - 1915.7. Which is the closest to -1? (a) 4 (b) n (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipyippypq. What is prob of sequence ipyp?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 + 2*m**2 - 4*m + 4. Let v be o(2). Let k = v - -89. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 2465681?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.208376 kilometers?\nAnswer: 7208.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let a(r) = -2*r**2 - 3 + 6793*r**3 - 208132*r**3 + 4*r + 29040*r**3 + 43928*r**3 - 251628*r**3. Let q be a(z). Round q to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 4 + 5*l + 2)*(0*l**3 + 0*l**3 + 2*l**3) + 3 - 20*l - 21570*l**2 + 21570*l**2 + l**4.\nAnswer: 11*l**4 - 4*l**3 - 20*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u - 53 + 31*u**2 + 57 - 63*u**2 + 31*u**2 - u in the form r + o*u**2 + c*u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66769 - 17963 = 1048*b - 12945 + 59213 for b.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -205. Let a = h - 127. Solve 2 = -5*j - c, 4*j = c + 3*c + a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76) - sqrt(19))*-1)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b**4\/5 - 38*b**3\/5 - 16*b**2\/5 + 8*b\/5 = 0. Calculate b.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 12*i + 418. Let v = -11 - 35. Let n = i - v. Solve -u = -5*u + n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012105 rounded to 6 decimal places?\nAnswer: 0.001211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/10*l**4 + 2\/5*l**2 + 0*l**3 + 0*l + 0 + 1\/10*l**5 = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -0*w + 110. Suppose 3*o = -w - 20. Let q = o + 14. Solve 3*f + 0*f + q*u + 14 = 0, 0 = 5*f + u + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 - v + 1. Let a(d) be the first derivative of -5*d**4\/4 - d**3 - 2*d**2 + 4*d - 8. Calculate -a(z) + 3*x(z).\nAnswer: 2*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17241 (b) -1 (c) -26 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*v + 94*o**3*z**2 - 3*o**2*v*z**2 + 2*o*v*z**2 - 2*o*v*z + 10*o*z**2 - 7*v*z**2 wrt o.\nAnswer: -6*o*v + 564*o*z**2 - 6*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1\/53, -0.5, -5?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -124 + 114 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80254408138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283503 is divided by 992?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h - 2*h - 1 + 2*h**3 + 6*h - 9*h - 6*h**2. Let k be 2\/4 - 7\/(-2). Is 11 a factor of d(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+3.843769\nAnswer: 6.843769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/3)*z**(-19) assuming z is positive.\nAnswer: z**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/120 + g**5\/15 - g**4\/24 + g**3\/6 - 8*g**2. Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 20, -y = 3*u + u - 497. Let h(m) = 65*m + 58*m - u*m - 2*m**2. Let i(c) be the first derivative of -16*c**3\/3 - 1. What is h(i(f))?\nAnswer: -512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/169356866 and 73\/3155718.\nAnswer: 508070598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 14*s + 81. Suppose -16*l + l + 270 = 0. Is o(l) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.462+-181.4\nAnswer: -182.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/(9\/(-24)). Let h be 5\/(-5)*(k - 1). Let x = h - -27. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/17 (b) 4870 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 40. Suppose 0 = 2*f - 0*f - 8. Suppose -2 = 3*q + f*h, -5*h + 0*h + 5 = 0. Put -5, q, p in decreasing order.\nAnswer: q, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10300141 (base 6) in base 11?\nAnswer: -197990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*q, 0 = -b + 5*b + 4*q + 4. Suppose 0 = 3*u - 20 - b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12007.\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/20*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 115, 103, 77, 31, -41?\n\"Answer: -s**3 - s**2 - 2*s + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + (sqrt(204) - 2*sqrt(204)))\/(sqrt(12)\/sqrt(4)*-3).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 - -1) + 0)*(-2)\/12 - -1. Factor 8 - l*k - 4\/3*k**2.\nAnswer: -4*(k - 2)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4\/5 + 114*q**3\/5 + 216*q**2\/5 = 0?\nAnswer: -36, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 6*a - 2. Let d be (5 + 0)\/(1 - 0). Let o be f(d). Suppose o*g = s + 760, 9*s = 4*g + 4*s - 1006. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-16))\/((-177)\/48 - -5). Is 1825 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1391 and 3?\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, 718, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k - 354 = -65*k + 556. Solve -k*i + 32 = -61*i + 2*t, 5*t - 35 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.04572248?\nAnswer: -0.4572248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-5)*(1*-43 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 - 784*q**2 - 3104*q = 0.\nAnswer: -388, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 15 - 60)*(-5*q**2 + 0*q**2 + 4*q**2)*(q**3 + 3*q**3 - 5*q**3).\nAnswer: -75*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645966270 and 1565?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -486483 (base 12) to base 14\nAnswer: -2272cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, q: 4, y: 3, t: 4}. Give prob of sequence qqq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.33 and -1212564375.\nAnswer: -1212564369.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-7)\/((-420)\/(-8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/10*-38*(-265)\/(-4028)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2576308 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2222 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = -4*w - s, -2*s = -w - 6. Sort 3, w, 1.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 - 0.7. Let a = u - -3. Let o = 2\/1399 - 1403\/2798. What is the nearest to a in 3, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -233*m**4\/24 - m**2 - 899. Let v(d) = -3*d**2. Calculate u(v(x)).\nAnswer: 699*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 207482.\nAnswer: -33197.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + 13*t - 28. What is the units digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2445 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/27 - -173\/54. Calculate the common denominator of s and -54\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyh when three letters picked without replacement from {h: 1, y: 5, g: 2, d: 7, m: 4, z: 1}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 9*p. Let k be x(10). Let b = 17 - k. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279 take away 22?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and -0.0883?\nAnswer: 0.6883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-621)\/(-135))\/23*-6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 8, -2, 892, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023112010 - -111?\nAnswer: 1023112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 14 = -2*j. Let o(b) = 7*b + 149 + j*b - b**2 - 161. Determine o(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -670092.\nAnswer: -59\/223364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1 - -11 - 4. Let z be 4\/26 - (-55)\/65. Let x(k) = z + 2*k + k + w + k**2. What is x(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -908785 by -5.\nAnswer: 181757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 - 81. Suppose -5*m - 69 = -3*y - 7, -4*y = -4*m - i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1))**(-28)\/(t**5*t*(t**(-1\/7)\/t)\/t*t)*((t*t*t\/t**(-1))**2)**(3\/22) assuming t is positive.\nAnswer: t**(-290\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317574 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0239 and 0.2?\nAnswer: -0.00478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 545179, 546362, 547543, 548722, 549899, 551074?\n\"Answer: -k**2 + 1186*k + 543994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484629629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 15*j + 5 - 5*j**2 + 8*j**2 - 8*j**2 + j**3. Is q(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8932)\/(-9744))\/(165\/(-200)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from keooekekkuc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 - (-1 - (-2 + -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*-10 + 17*(-102)\/(-578).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 643, 648, 663, 694, 747?\n\"Answer: b**3 - b**2 + b + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 78\/(-52)*(2 + (-116)\/6). Suppose 11*j = y + 7. Solve 2*g = -4*s - 5 - 7, j*s + 3*g + 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 y when three letters picked without replacement from {y: 1, d: 5, g: 3, r: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 28*v**2 - 15*v - 64. List the prime factors of k(10).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -5. Let l be 42\/(-32)*b - 2\/8. Solve 0 = l*c + 5, -f - 2*c = c + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -25. Suppose q + l = 16, l = -c*l - 12. Suppose -20*h - 13 - 3*h**3 - h**3 + q + 1 + 16*h**2 = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119841, 239455, 359073, 478695, 598321, 717951?\n\"Answer: 2*w**2 + 119608*w + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 388563 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4464*w - 11228*w - 6794*w.\nAnswer: -13558*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1078 + 328 = -3*n + 3*b, 3*n = b + 754. Suppose -3*o + 40 = -4*c, 3*o - 2*c = -0*c + 38. What is the highest common divisor of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423312 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384872.\nAnswer: 2, 7, 37, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6060*i - 6616*i + 12635*i - 3.\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3234516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1150 - 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12 - 4 - 4*t + 5*t. Let r be h(-6). Let p = 3558142 - 3558138. Solve r*f + p = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/12 + 972*h**2. Let y(s) = -786*s**2. Calculate n(y(k)).\nAnswer: 1572*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 46*l - 48*l - 6, -12 = 3*n + 4*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrt when three letters picked without replacement from tqtnngtqnqtyyyyrnn?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 107. Let h be m(14). Calculate the greatest common divisor of 1649 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w - 1 + 45 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8461 - 8454 + 16915 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 9*u**2 - 10*u + 15. Let o be r(6). Suppose -m - o = 75. Let q be m\/(-15) - 5\/25. What is the greatest common factor of 90 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 71. Suppose 3*t - 3*n - 31 + 4 = 0, -5*t + 5 = 5*n. Suppose 0*k = -3*w + k - t, 4 = -k. Sort w, b, 4 in ascending order.\nAnswer: b, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -3. Suppose -s + z + 1 = 0. Suppose -9 = -2*c + s. Solve -c = v + 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*b*p**2*r**3 - b*p*r**2 - b*r**3 + 14*p*r - r**2 wrt p?\nAnswer: 620*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -14. Suppose 0 = -5*i + 4*t + 71, 64 = y*i + 3*t + t. Suppose 28*p - i = 23*p. Solve 2*d = 4*u - 8, 4*d = -p*u - d + 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (7 - (6 - -7)). Suppose -84 = 18*m - 25*m. Sort 4, 2, m, r in ascending order.\nAnswer: r, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = c - 4, -3*c = -c - 5*u - 5. Suppose -5 + c = 5*r. List the prime factors of 12\/(-9)*r*9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 24, 22, 4, -36, -104, -206?\n\"Answer: -k**3 + k**2 + 12*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -3*x. Suppose -2*f = 8, -x*a - 4*f + 2 + 2 = 0. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -20*x. Let s(c) = 114*c**2. Calculate s(k(u)).\nAnswer: 45600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 4*n. Let a(p) = -2*p - 2. Let f be a(-2). Suppose d = 4*s - 4, -5*s + s + 20 = d. Solve n*j - d = f*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13786992 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2164.71 and -2036.8?\nAnswer: 127.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9433 + -3.\nAnswer: -3.9433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -178950?\nAnswer: -14\/89475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*k*s - 3*d**3*k + 76*d**3*s - d**2*k*s + d**2 - d*k - 387*k*s wrt d?\nAnswer: 18*k*s - 18*k + 456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -69985 + -186.507\nAnswer: -70171.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 528, 19, 11, 13.\nAnswer: 11, 13, 19, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1402, 1404, 1406?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, n: 4, z: 8, y: 1}. Give prob of sequence zyzn.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**2 + 203*o - 17. Let x be j(-18). What is the highest common factor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*j + 192*j = -34*j - 9072 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 18.09, -13, -135, -1\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55 + 5.75. Let l = 5 - g. Sort l, 3\/7, 2.\nAnswer: l, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*v + 41 = 0, 2*v - 13 = -j - 1. Suppose -6*q - j = -3*b - q, 4*q = -b - 4. Find the first derivative of 7 - 18*p**b + 2 - 60 wrt p.\nAnswer: -72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*c = -41*c - 0*c + 91*c. Determine q so that c - 1\/4*q + 1\/4*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*w**3 + 2*w - w**3 - 267*w**3 - 2 - 674*w**3 to g*w + o*w**3 + u*w**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 5386\/10499?\nAnswer: 5386\/10499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 1 + 22. Let s be 2\/l + (-618)\/(-7). Suppose 3*h - 17 - s = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8014 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37830 and 11349.\nAnswer: 113490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 28. Let f(u) = 2*u**2 - 4*u + 2. Let o be f(2). Suppose a*z + 2*l = 5*z - 48, 2*z + o*l - 42 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:01 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0951, 10\/21, 124, 4 in ascending order.\nAnswer: 0.0951, 10\/21, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 497 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(16\/(-12))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 41*n**6\/120 - 21*n**5\/20 - 20*n**2. What is the third derivative of b(w) wrt w?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1404.290865 to the nearest integer.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16\/9 (b) -1 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2021*d + 981. What are the prime factors of h(-3)?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 2*i\/3 - 1.\nAnswer: (i - 3)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 0, -3*a + 4*f + 43 = 7. Solve -2*s - a = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -38*v + 50*v - 24*v. Let a(w) = -4*w**2. Determine a(f(y)).\nAnswer: -576*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-38)*u*u*u\/u**36 assuming u is positive.\nAnswer: u**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(5) - sqrt(500)*3)**2 + -3 + (-3*sqrt(180))\/sqrt(9))*-5*-2.\nAnswer: -60*sqrt(5) + 28770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.079 + 0.121. What is the third smallest value in 4, w, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -818070*q - 13659374 wrt q.\nAnswer: -818070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 2*o)*(-117*o**3 - 81*o**3 - 153*o**3)*(3*o - 3*o - 4*o) + 3*o**5 - o**5 + o**5.\nAnswer: -2805*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270957903 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144511 (base 6) to base 3.\nAnswer: -201012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from jjjjjjzzbzbbjzbjjjj?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 38. What is the least common multiple of c and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - -5. What is the remainder when 88 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 5, 22 in ascending order.\nAnswer: -2, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.09 - 0.09. Let l = -6 + g. Is l greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let w be z(1). Let y be (2 - (1 + 1))*1. Solve y = -w*p - 2*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let r be ((-2)\/(-3))\/(4\/24). Let f be h(r). Which is bigger: f or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let r(l) = -l + 2. Let a(d) = -136*d + 13. Let u(q) = -a(q) + 6*r(q). Determine u(m(z)).\nAnswer: 260*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 = -4*p, -3*q + 8 = 17*p - 15*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208, -213, -22, 365, 948?\n\"Answer: 98*s**2 - 299*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q - 5. Let p be l(0). Let c = -7 - p. List the prime factors of 2\/(-6)*(-32 - c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -931.5 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1536)\/8960)\/(12\/56)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 27 - 243. Suppose f = 38*x - 34*x. Let s be 2\/x + (3 - 217\/84). Which is the third smallest value? (a) s (b) 0.1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (111\/(-12) - -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 17. Let x be t(-18). Let q(b) = b**2 + 1. Let u(a) = -a**2 - 2. Calculate x*u(v) + 2*q(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -341567 less than or equal to -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 32777160.9 to the nearest ten thousand.\nAnswer: 32780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(16\/(-4))\/4. Let g = 5 - 3. What is the closest to n in g, 6\/7, -1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-39 + (115 - 54))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*s - 2*s + 21 = 0, 0 = -r - 5*s + 15. Let w be ((3 + r)*6)\/(-2). Solve w*n - 2*n = -16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, -1\/18, 1 in decreasing order.\nAnswer: 1, 1\/3, -1\/18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302 (base 4) to base 16.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16893291?\nAnswer: 3, 17, 331241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 810\/(567\/21) + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -40.414, 5\/6, -0.1, 18?\nAnswer: -40.414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/((3\/4)\/(3\/6)). Let y be (1 + -2)\/(i\/6 + 2). Let z(o) = -o - 2. Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 40 = -5*t, t = -3*c + 22 + 18. Let b = -7 + c. Suppose b*k - 7 = 8. Calculate the remainder when 8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11058401*y - 5529200*y - 5529203*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:23 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*((1 + sqrt(304))*-4 - (sqrt(304) - (sqrt(304)*1 + -1)))*-2*-4)**2 + -2.\nAnswer: 9216000*sqrt(19) + 281606398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x**3 + 0*x - 11 + 2\/3*x**6 + 0*x**5 + 3*x**2 + 0*x**4. Find the second derivative of r(y) wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 104, 233, 420, 671, 992, 1389?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/5)*k**(-2\/25)\/k assuming k is positive.\nAnswer: k**(-42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/66 + 32*l**3\/11 - 2304*l**2\/11 - 169*l. Factor z(s).\nAnswer: -2*(s - 48)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 + 8*r**2 - r**3)*(-7*r**2 + 10*r**2 + 14*r**2).\nAnswer: -17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*p**3 + 373*i*p**2 + 2*i*p - 109*i + 24*p**3 - 4110*p**2 + p + 10 with respect to i.\nAnswer: 2*p**3 + 373*p**2 + 2*p - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/60 + k**4\/3 - k**3\/2 - 40*k**2 - 2. Let h = -144 + 152. Give s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-8)*-1)\/(-4 - (-618)\/156). Let l(x) = x**3 + 15*x**2 + 26*x + 3. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24070 is divided by 24062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3175*d - 5 - 2596*d + 6 - 1 + 5769*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-314*q**3 + q**2 + 155*q**3 + 157*q**3)*(-2 + 2 + 2*q) to z*q + c*q**3 + o + l*q**2 + u*q**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186 - -3825?\nAnswer: 3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 3*k + 15*k. Let z(x) = -x**2 - 8*x + 24. Let l be z(k). Solve -2*m + l = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from rioii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8510?\nAnswer: 2, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 - u - 10. Let r be v(-8). Let f(y) be the first derivative of y**4\/4 + y**3 - y - 4. Let w be f(r). Solve w*i + 4 = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-315))\/((-2)\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 4*r. Let g(z) = z**2 - 5*z + 2. Is 2 a factor of g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09462839341 + 41.93746459659. Let j = d - -0.07013701. Let c = -42.1 + j. What is c rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - -5.4. Let z = -7.6 - -7.7. What is the nearest to z in d, -0.3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {y: 1, h: 1, t: 1, d: 1, g: 2, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2355 = 3*m - y, -y + 2*y = 4*m - 3140. What are the prime factors of m?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*x = -31, 4*f - 17*x + 18*x = 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**3\/6 + w**2\/2 + 2*w. Let k(z) = -z + 2. Suppose 30*v = 28*v - 4. Let b = 0 + 1. What is b*k(u) + v*l(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*x - 36. Let r be -9*x\/(-45) + -1. Factor -1\/5*h**2 + 0 - 2\/5*h + r*h**4 + 2\/5*h**3.\nAnswer: h*(h - 1)*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7229374.\nAnswer: 2, 3614687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 6*t - 11. Let u = -8 + 0. Let v be p(u). Solve 0 = v*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*((-3)\/15)\/(22\/(-55)). Let s be (0 - d\/9)\/(1096\/(-48)). What is the third smallest value in 3\/4, 2\/19, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 = 893*k - 904*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 5*u**2 - 5. Let m = 1 + -1. Let s be m\/(-2 + 2 + 2). Let a(c) = -8 - 12 + 6*c**3 + s*c**3 - 16*c**2 + 4. What is -5*a(j) + 16*i(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 5. Let g be j(-6). What is the tens digit of (g - -2)*(-3 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202611074*s**3 - s**2 + 177*s + 65955 wrt s?\nAnswer: -1215666444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6) - ((-81)\/21 - (-24)\/28).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17fd (base 16) in base 11?\nAnswer: -4683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/958237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6818*a**5 - 84317*a**2 wrt a?\nAnswer: 409080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*r - 847*r = -1696*r - 399 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -23.91 = 583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 7*j**2 + 0 - 14*j**3 - 1 + 19*j**3 to the form u*j**3 + y*j + n*j**2 + f and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 + p**3 + 55*p**2 + 20448 with respect to p.\nAnswer: 12*p**3 + 3*p**2 + 110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 34, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1665673979 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(sqrt(17) + -1)**2 - (sqrt(17) + 3 + 3)) + 4.\nAnswer: -7*sqrt(17) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9891420 and 275.\nAnswer: 49457100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 2*l**2 - 3. Let d(m) = 12*m**3 + 30*m**2 + 209*m + 165. Let h(c) = 3*d(c) - 39*f(c). Factor h(j).\nAnswer: -3*(j - 17)*(j + 1)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10188?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -4, -32, -440.\nAnswer: -440, -32, -17, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/11 + 562*b**4\/11 - 39194*b**3\/11 - 40890*b**2\/11 + 79524*b\/11 = 0?\nAnswer: -2, 0, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 24, 3472295 in decreasing order.\nAnswer: 3472295, 24, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693709 and 28957.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**2 + 695*o - 700 = 0.\nAnswer: -140, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3 + (95\/30 - 4). Suppose -4*a + t = -2*t + 10, 5*a = -5*t - 30. Suppose -4*s + 2*s = -10. Sort s, n, a in increasing order.\nAnswer: a, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - t - 5168 + 5165 = 0, 0 = -3*v + 2*t + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -2 - (-13 - (28 - 33))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**3 - 2*p**3)*(-3 + 3 - 2)*(4 - 3 + 1)*(-p + 4*p - 4*p).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001297413583 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2935 or 1858?\nAnswer: 2935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**5 - z**3 + 25*z**2 + 9*z + 1301?\nAnswer: -120*z**3 - 6*z + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z + z + z)*(0 - 5 + 1) in the form x + i*z and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 + 1. Let o(g) = 3*g**3 + 4*g**2 - 3*g + 3. Let j(i) = -2*b(i) + o(i). Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-168)\/(-68)) - (-15)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1 (c) -633 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97543038233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (561\/22)\/(36\/(-32) + 1). Let c be 8 + 3 + 0 + -1. Is 7 a factor of (-40)\/12*t\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:25 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 6939 = 2*t + 6931, 24*f = -5*t - 404 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -0.1 (c) -215 (d) 0 (e) 1\/17 (f) -3 (g) 68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189 + 7558*q**5 + 17*q - 7924*q**5 + q**2 - 17*q wrt q?\nAnswer: -21960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 249 - 3*s + s + 122 - 85 + 357 in the form d + x*s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (22 + (-15460)\/620)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*m + 4813 = 0, 5*h - 8944 = -3*m + 3120. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 5, k: 5, u: 2}. Give prob of sequence ukik.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/14 + -3\/7. Let x = 295801 - 6213083\/21. Let w = 179\/3 + x. What is the closest to t in 0.4, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 38. Suppose -i = -p - 20, 112 - 2 = 5*i - t*p. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.546 - -4.4504. Let i = -0.158 - 0.762. Let x = i + m. What is x rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37818 + 37817. Let w be (-12)\/42 - (-13)\/21. Which is the nearest to w? (a) -0.4 (b) -5 (c) -1\/2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/20)\/(2\/4 - 150\/(-240))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4149?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 13361.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 3*l + 1. Let c be p(4). What is the highest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffllflllffflf. Give prob of sequence lf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 105 + 117 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t, 5*n - 2*t - 1 = 8*n. Let i(o) = -4*o**2 + 2*o + n*o**2 - 2 + 3*o**2. Is i(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1375, 1589, 2001, 2665, 3635?\nAnswer: 4965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxvhu. What is prob of picking 1 h and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612559 and 266330?\nAnswer: 6125590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138699 is divided by 236?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -564857 and 1.4607?\nAnswer: 564858.4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 + 0.3. Let j = 8.6 + -8.01. Let f = 9.59 - j. Which is the third biggest value? (a) 1 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 80. Give x(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1493 = 3046. Suppose 7511 = 32*u - b. List the prime factors of u.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3 - 5. Do j and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -780*w - 39783. Give k(-51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -a + 6, -10*a = 2*i - 8*a - 4. Let b be i\/(-18) + -9 + 1672\/99. Solve 2*x = -2*x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**2 - 7*q**2 - q**2. Let y(b) = 3*b - 1. Let f(l) = l**2 + 18*l - 6. Let r(j) = f(j) - 6*y(j). Give n(r(a)).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99 + 2?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4357 and -0.06.\nAnswer: -261.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 55. Is 34 a factor of (30570\/36)\/o + (-1)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 5*c + 43, -5*c = 3*w + 31. Let f(y) = -36*y - 116. Is f(c) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*x**4 + x**5 + 4*x**5 - 14*x**4 + (-6*x**2 - 2*x**2 + 78*x**2)*(-5*x**3 + 0*x**3 - 5*x**3).\nAnswer: -695*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150*8082.\nAnswer: -9294300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 2*q**2 + 69 - 37 - 2*q**3 + 0*q + q to i*q**2 + l*q + w + h*q**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert b32 (base 12) to base 14.\nAnswer: 83c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.7? (a) -24\/53 (b) 0.4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -4, -8\/7, 1, 8, 10, -10 in decreasing order.\nAnswer: 10, 8, 1, -0.9, -8\/7, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2733357 to the nearest integer?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/1 + (-1)\/(1683\/(-544)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 63272*w - 250209124.\nAnswer: -4*(w + 7909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 0.06. Let i = -1.05 + n. Sort i, -1\/2, 0 in increasing order.\nAnswer: i, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -652415.63 rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100042, -200085, -300128, -400171?\nAnswer: -500214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, 3, 2\/13, 0.1, -1\/2.\nAnswer: -1\/2, 0.1, 2\/13, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = 3*i. Suppose -g + t - 18 = -t, i*g + 57 = 5*t. Calculate the common denominator of (-24)\/g - 262\/(-12) and 33\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187\/20 - 39\/4. Let c = -0.2 - -0.6. What is the nearest to a in -0.2, 0.3, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*x**4 + 13*x**4 - 19*x**4 + (3*x**2 - 4*x**2 - x**2)*(-x + 5*x**2 + x).\nAnswer: -34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 19*h**3\/3 + 6449*h. Let r(m) = m**2. Give o(r(x)).\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4260207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-2\/3))*v)**(18\/5)*(v**(-2\/5)*v)\/(v\/v**(-1)))\/(((v\/(v**(-1)*v))\/v*v)**(-17)\/((v\/(v\/((v**(-5)*v)\/v)))\/(v\/v**5))) assuming v is positive.\nAnswer: v**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 10) to base 15.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 785500 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y**3 + 4*y**2 - 4*y**2)*(-4 - 2*y + 4) + 0*y**4 + y**4 + y**4)*(2*y - 1 + 1) + 5*y**5 - y**5 + 9*y**5.\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821 is divided by 911.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + 5 + sqrt(612) + 0 + sqrt(612) + 1 + -5*-1*sqrt(612)*1)*1)**2.\nAnswer: -168*sqrt(17) + 29992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h + 1. Let l(f) = -4*f**2 + f - 3. Let o(m) = -l(m) + 5*w(m). Let t be o(-7). What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*j**2 + 2*j - 2*j - 28*j**2 - 42326*j**3 + 42328*j**3.\nAnswer: 2*j**3 - 162*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3440893.7 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -13 - (-3 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0276? (a) -2\/5 (b) 0 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*j - 78 = 0, j = 48 - 45. Sort 4, g, -1, 22 in decreasing order.\nAnswer: 22, 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271 + 271. Sort 13, -4, r, 3 in descending order.\nAnswer: 13, 3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -5, 2, 0, -1738, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:39 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*v + 136, 2*n + 3*v + 483 = 190. Let m = 1276\/9 + n. Is -1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/2685 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*c - c**2 - 2969*c**3 + 2969*c**3 + 1 + 2177*c + 818*c + 11233*c**4 wrt c?\nAnswer: 269592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201 (base 11) in base 15?\nAnswer: 19b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0 - 13\/2*a**2 - 23\/6*a**3 - 25*a. Differentiate u(r) wrt r.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18\/(x**(4\/3)\/x)*(x*x**(-1\/8))\/(x*x\/((x*x**(2\/3))\/x)))**(-21\/2) assuming x is positive.\nAnswer: x**(-2891\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-270)\/(-48) + 3\/8 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156730980 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 58*y**2 - 188*y + 54. Let l be r(8). Let i = -2 - -2. Suppose -8*d + l + 298 = i. What is the greatest common divisor of d and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0*y - 1\/6*y**4 + 5\/6*y**3 + 0 + 33*y**2. Let d(q) = q - 1. Give -6*d(w) - x(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Suppose 2*s = 5*o - 13, -2*o - 2*s + 10 = 2*s. Let r be (5\/(-2) - -1)*6\/o. What is h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.174 times 11684?\nAnswer: 2033.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 30 - 80. Let v be (-32)\/(-2)*22\/(-14). Let l = v - f. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13831*g*y + g - 13873*y wrt g?\nAnswer: -13831*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1485 - 1484. Is j less than 8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 149211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + (-2*3*sqrt(2448) - sqrt(2448) - sqrt(2448)) + sqrt(2448) + (sqrt(68)*-2)**2 + 0.\nAnswer: -72*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 110010 (base 2) to base 11\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/323 + (-2460)\/4590?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0518 + 1.9482. What is the third biggest value in 0, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4 in descending order.\nAnswer: 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 3, -0.2, 0.1, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -147*m**3 + 2*m**2 - 11*m - 16. Let z be j(3). Are z and -4000 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 11*t - 107 = -15*w, 0 = -18*w + 16*w - 3*t + 54 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0*y + 0*y**5 + 29\/60*y**6 + 1 + 3\/8*y**4 + 0*y**3 - 22*y**2. Find the second derivative of v(w) wrt w.\nAnswer: 348*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/448*32\/(-30)*5\/(-2). What is the nearest to -1\/2 in q, -3, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12604 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -292 + 295. Suppose -6 = -3*i, 0*i = p*r + i - 632. Calculate the remainder when r is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 7*b**2 - b**3 - 13 + 0*b**3 + 16*b. Let u be d(8). What is the second derivative of 1 + 4*j - 1 - 5*j**5 + u*j**5 wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-345)\/20)\/3*4. Let a(i) = 4 - 34 - 5*i**3 + 23*i + 23*i**2 + 6*i**3 - 27*i. Is a(m) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*k + k + 1)*(4*k - k - 7*k)*(-6*k - k - 21*k) to the form z*k + x*k**3 + d + g*k**2 and give x.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(114))\/(sqrt(6) + sqrt(486)*1) + (sqrt(95) - 4*(sqrt(95)*-2 + sqrt(95)))\/((sqrt(500)*1 + sqrt(500) - sqrt(500) - sqrt(500)) + sqrt(500)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 6*y + 2. Let s be j(6). Find the third derivative of -77 + 4*z**s + 5*z**5 + 77 wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087922 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 - 1 + 3*m**2 - 2*m**2 + m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3112*h = 2996*h - 1856 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47758 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(6*t + 2 - 12*t + 8*t + (2 - 1 + 1)*(-t + 0*t - 2*t) + 3*t - 4*t + 3*t) to the form v + f*t and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*j + 161644 - 177794 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -5575\nAnswer: -5574.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42660 and 106650.\nAnswer: 213300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let x be f(8). Let q = -5 - x. Let l be q\/(-18)*6 + 1. Which is the second biggest value? (a) 5 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 3*j + 762. Let g be h(0). Suppose -190 = -y - 3*n + 4*n, g = 4*y - 3*n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1242, -1241, -1240, -1239, -1238?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208198 is divided by 188?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 2*l - 2 + l**4 + 2*l**3 + 84*l**2 - 77*l**2 - 6*l**3 + 7*l**3 in the form o*l**4 + x*l**3 + f + c*l + r*l**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 11:37 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = 3*y + 4*r, y = 5*r + 11. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 3*c, -3*g - 5*g + 2*g + 9*c = 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 2*a + 39. Is x(0) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 12*m - 39. Let j be y(-15). Solve -2*s + 2 = -j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, -6, -17, -28?\n\"Answer: -11*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-698*k**2 + 9003*k + 9009*k - 18012*k)*(-3*k**3 + 4*k**3 + 0*k**3).\nAnswer: -698*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04228 (b) -7191 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14696, -29391, -44086?\nAnswer: -58781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whazadwadqhzzzzdzzdd. What is prob of sequence qhhd?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66384 by -2766.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43\/(-7) - 18\/(-3). Let n be (-3)\/(1 - (-1 - -3)). What is the smallest value in 1, n, d, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1748 and 263492.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3758.869 + 3724.869009. Let y = -34 - v. Round y to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -25, -61, -131, -247?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-936)\/27)\/13*-3 - 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 + 0*o - 1\/8*o**4 - 1\/3*o**3 + o**2 - 1\/360*o**6 + 1\/40*o**5. Let d(z) be the first derivative of r(z). Calculate d(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, -589878 in decreasing order.\nAnswer: 4, -1, -4, -589878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14185 + -14156. Let w(c) be the third derivative of -k*c**2 + 0*c + 7\/2*c**3 - 5\/6*c**4 + 0. What is the derivative of w(j) wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 161 - 159 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 0*w**2 + w**2)*((3 + 1 - 2)*(-3*w + 4*w - 3*w) - 3*w - 3*w - 4*w) as d*w**3 + o*w**2 + s + p*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/20 + a**3 - 4*a**2. Differentiate u(i) with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-72)\/368) - 16\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2656 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/104 and -19\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:54 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o + 22*o = 44*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u + u + 0*u to the form y + a*u and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1638*a + 7238. Give x(5).\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u + 3*k, -2*k - 10 = -2*u - 3*k. Suppose -p + 37 = 3*g - 2*g, -p = -2*g + 74. Suppose -122 + g = -u*m. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 12*i + 15. Let l be s(11). Let m(g) be the third derivative of -g**4\/24 - g**2. What is m(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 6*h - 16. Let w = -3 - -11. Let s be j(w). Suppose -3*n - n = -36. Solve 3*y + s*y = -u - 11, -3*y + 3*u = -n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54 less than -69074967?\nAnswer: -69074967.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.34 + -8.66. Let d = 100 + o. Is d less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1.1, 6\/7, -7 in ascending order.\nAnswer: -7, -1.1, -0.5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v + 36559 - 37693. Calculate the remainder when 470 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 5*u**4\/4 + 14*u**3 - 553*u**2\/2 + 540. Find the second derivative of h(m) wrt m.\nAnswer: 30*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*t = -37, 0 = -5*c + 2*c + 4*t + 34. Suppose 0 = -4*p + 59 + 77. Suppose -4*n = -2*l - 96, -2*n + 3*l + c = -p. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17556 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/14 + (-10)\/(-35). Let p = -122 + 979\/8. Which is the closest to p? (a) 3 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448834?\nAnswer: 2, 17, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let v be p(6). Let i(f) = -9*f - 6. Let g be i(-1). Let r(m) = v - 5*m + 2*m**2 - 5*m**2 - m**3 - 2*m**2 + g*m. What is r(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = -71 + 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/35)\/(4\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3917 - 1543. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*y - 33, 0 = 3*s - 0*y - 4*y - 30. What is the least common multiple of s and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 3 - 37 = 0. Let g(c) be the third derivative of c**4\/6 + 2*c**3\/3 - 14*c**2. Determine g(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**9\/72 - 41*m**5\/60 - m**2 - 5. Find the third derivative of y(c) wrt c.\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxik when four letters picked without replacement from xkibxbxvx?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182823 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4 - 104. Suppose -u = 2*u - f. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44072955 + -4.\nAnswer: -44072959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 6*p**2 - 6*p - 9. Let y be r(-3). Suppose 41*n = y*n + 2860. What is the greatest common factor of n and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:42 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245665875 by -7019025.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -150, -10, 2 in ascending order.\nAnswer: -150, -10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -2 + (-3 - (-1 - 8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - sqrt(4) - sqrt(4))\/sqrt(2))**2*-6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 4175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*x + 10, 0 = -3*x - 3*o - o + 15. Suppose 5 + x = 3*c. What is the third derivative of v**2 - c*v**2 + 4*v**2 + v**4 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 2:39 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -21*t + 4*b - 1771, b - 3549 = -2*t. What is the greatest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 6 + 2*x - 3*x. Calculate the lowest common multiple of v(8) and 3 + 2 + (12 - 0) + 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {s: 1, q: 5, y: 3, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4432508*314.\nAnswer: 1391807512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6888729 to the nearest integer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:01 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c - 10 = 361. Solve -7*y + c = -28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4512 and -2.\nAnswer: -9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 1153*x - 1479. Determine j(166).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*j, 0 = 16*l - 0*l - 3*l + 4*j + 36 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57867064 and 57867064.\nAnswer: 57867064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3253805 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + x + 4. Let h(o) = 4*o**2 + o + 5. What is -5*a(f) + 4*h(f)?\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15346 is divided by 15073?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/12))**(6\/7)\/(l\/l**2*l*l\/(l\/((l**(-5)\/l)\/l))) assuming l is positive.\nAnswer: l**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, i: 3, k: 1, r: 1, p: 3, e: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51856071 and -0.3?\nAnswer: -15556821.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -476, -475, -484, -509, -556, -631, -740, -889?\n\"Answer: -k**3 + k**2 + 5*k - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -91, 46, 7 in descending order.\nAnswer: 46, 21, 7, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/7 + 276*k**2\/7 + 3996*k\/7 + 16524\/7.\nAnswer: 4*(k + 9)**2*(k + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**5 + 4*r**4 + 12*r**2 - 4*r + 4. Let f(s) = s**5 + s**4 + s**2 - s + 1. Let y(j) = -4*f(j) + g(j). Find the third derivative of y(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - m = m + 12, -d = 2*m. What is the nearest to 0.1 in d, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**3 - 2*p**2 + 5*p - 2. Let b(a) = -5*a**3 + a**2 - 2*a + 1. Let z(i) = -5*b(i) - 2*x(i). Does 17 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 10*u - 5*u to v*u + f and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 = -3*t - 7, -2*t - 4*a = 36. What is the units digit of -212*((-77)\/t)\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -6, 356, -4, -1, -5.\nAnswer: -12, -6, -5, -4, -1, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 121110141?\nAnswer: -121110134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 22*z + 78. Let r be (72 + 0)*z\/26. What is the highest common divisor of r and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6395 divided by 6395.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95187 and 1791?\nAnswer: 56826639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 12\/(-20)*((-70)\/7 + 11)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236194922.\nAnswer: 2, 8243, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - r - 3 = 0, 2*f + 4*r + 3 = 15. Let x = f + 4. Let l = 6 + -6.3. Which is the smallest value? (a) l (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 393*d + 1. Let o be g(-6). Let u = o - -3620. Suppose -8600 - u = -7*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294 or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34584522 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**29\/(r\/r**(1\/7)))**(1\/47))**33 assuming r is positive.\nAnswer: r**(6501\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2. Let w(s) = -10*s**2 + 14*s**2 - 13*s**2. What is g(w(q))?\nAnswer: 405*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/36)\/(4\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 + 0 + -1. Let v(s) be the first derivative of s**2 + b + 3 - 3 - 3. Let a(i) = -12*i. Give v(a(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/30*(-40)\/6. Suppose -346*g + 342*g = -n. Solve 0 = 2*f + f + t + g, 5*f - 4*t + 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3\/7 - 57*a\/7 - 90\/7 = 0.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17406 and 138?\nAnswer: 400338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25280 + 25237. Let u(k) = 10*k + 437. Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 + 3*l - 2. Let j(f) = -f**2 - f - 1. Give 4*j(s) - x(s).\nAnswer: s**2 - 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n - 112. Let i(t) = 4*t. Let h(g) = 35*g. Let z(y) = n*i(y) + 3*h(y). Let j(c) = -43*c. Give j(z(v)).\nAnswer: 301*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 396?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.252 + 1.768. Let p = o - 0.02. Let y = 0 - p. What is the third smallest value in -3, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -40. Suppose t = -r*y - 7, 0 = 5*t + 3*y + y + 23. Let k be (-21)\/(-7) + -1 + t. Which is the second biggest value? (a) k (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1080140 * -3\nAnswer: -3240420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cdb - b?\nAnswer: -ce7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221812 is divided by 44316?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose 7 = -k*y + 19. Suppose 8*h - y*h = 125. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -1452, -2247, -3094, -3993, -4944, -5947?\nAnswer: -7002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24.938377? (a) -2\/15 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -23. Suppose 3*j = -4*s + 47, 0*j + 5*s = -j + 23. Calculate the remainder when j is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2987.679cm to micrometers.\nAnswer: 29876790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/1*(-4)\/4. Let i = 79 - v. Solve 3*k - 13 = 2*f, -3*k = -5*f - 0*k - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 18 + 7 = 0. Let r(u) = -u + 2 + 1 + 0*u. Give r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10526857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.06 + -0.24. Let l = 1.5 + k. Sort -0.5, l, 0.06 in descending order.\nAnswer: l, 0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5751, 5633, 5515, 5397, 5279, 5161?\n\"Answer: -118*d + 5869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 960 = -4*c. Calculate the remainder when c is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -665.4343 + 616.854. Let t = c - -48.6. What is t rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2815 - 1b49?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, -686.\nAnswer: -686, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - z = -155, g + 3*z - 85 = 4*z. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zokggkgokg. Give prob of picking 1 k and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -184. Let k be 29\/7 - 4 - x\/(-7). Suppose k = -43*m + 44*m. Solve 4*a + 3*l = -m, 2*a + l + 10 + 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 34. Let o be d(-6). Let p be 8*1*1\/2. Suppose -32 = -p*q + 16. Solve o*j - 5*j + q = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 169 = -0*k - 3*k, 3*y + 293 = 5*k. Let w = -34 + k. Suppose -4*x - 4*f + f + 44 = 0, -2*x - f + w = 0. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8*h + 156. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2005 - 1591. What is the least common multiple of q and 198?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -351052552 and 3.\nAnswer: -1053157656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, y: 6, i: 3, u: 1, c: 1}. Give prob of sequence yt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8562378nm to millimeters.\nAnswer: 0.0000008562378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -195 in descending order.\nAnswer: 5, -3, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 + 2*c**2 + 4*c - 6. Let d(a) = 3*a**3 + 2*a**2 + 4*a - 5. Calculate -6*d(t) + 5*u(t).\nAnswer: 2*t**3 - 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*g**4 + 434*g**3 + 22*g**2 - 434*g**3 - 159 - 22*g**2 wrt g?\nAnswer: 168*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992489 is divided by 9962.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than -0.448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(4\/(-2)))\/(12\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 51. Let w be y(-12). Is -20 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 83041 = 26282 - 18904. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2100\nAnswer: -1\/1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/5822 - 5819\/17466. Sort 2, s, -16\/7, 0.2, 1\/3 in descending order.\nAnswer: 2, 1\/3, 0.2, s, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.21, -4\/5, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80883 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.012 and 756?\nAnswer: 9.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2200 + -840. Let j be (t\/6)\/(5\/(-75)). What is j rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 321, 327, 335, 345?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 87. Let h = v + 78. Which is the closest to h? (a) 1\/19 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*m**5 - 2*m**2 - 30*m**6 + 59*m**5 + 53*m**5 - 258 + 62*m**5 + 2*m**3 wrt m.\nAnswer: -3600*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 50 = -3*i - 3*y, -3*i + 3*y = -45. Let x(m) = -2*m**2 - 2*m**2 + 4 + 5*m**2 + 2*m**2 + 11*m. Calculate the remainder when x(-7) is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 14 - (-2 + 5 + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 52*p - 50*p + 57*p**2 - 5*p**3 - 30*p**2 + 3*p**3 + 33*p**4 - 28*p**2 to the form q*p**2 + w + c*p + z*p**3 + i*p**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 + 3\/(-12)). Let v(o) = -8 + 2*o + 7 - 5 - 7. Let f be v(6). Which is the nearest to f? (a) 2\/7 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 9. Let k be (-390)\/15 + 444\/17. Put k, 5, b in decreasing order.\nAnswer: 5, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 4.1. Let x be (-1)\/(-5) + (-24)\/70. Which is the second biggest value? (a) w (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-2 + (-45)\/(-18)) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiw when three letters picked without replacement from wwwwiwiww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3204 and -7818.035.\nAnswer: -11022.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/19906 - -548117\/1552668. What is the common denominator of k and 2\/5?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10561*k - 321535 - 639516 = 0 for k.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/132)\/(-3)*(-8)\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -230*x + 10098 - 12168 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*h - 601*h + 226*h - 35*h.\nAnswer: -1001*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/838 and -61\/12?\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*f + 3*j, -f + 0*j + 46 = -3*j. What is the highest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 + 14546*t - 376844 = 0 for t.\nAnswer: 26, 7247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83107312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00113201 to five decimal places.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 28 = 0. Suppose -16 = 4*l, -5*b - 4*l + 4142 = 383. What is the remainder when b is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84753833 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -18\/511283?\nAnswer: -18\/511283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 13.1. Let d = -10 - t. What is the smallest value in 0.4, 2\/17, d?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-10) + (-1)\/6. What is the closest to x in -5, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 16, -0.8, 1\/2, 4, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*n - 5950. Round n to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ksklnssknnovl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497313 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g - 1. What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -433 and 299923.5.\nAnswer: 299490.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16322, 2, -1.\nAnswer: -16322, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 124*r + 40 = 121*r, -2 = -2*o + 4*r for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 76. Let n(s) = -121119709 - 3*s + 121119709. What is n(j(m))?\nAnswer: -3*m - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**3 - v + 117. Let d(j) = -j**2. Calculate x(d(t)).\nAnswer: 9*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12900427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-44 - -50) + -1 + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**4 - 500025*t**3 + 10463605*t wrt t.\nAnswer: 48*t**2 - 3000150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -46*c + 1912. Let h(l) = -28*l + 955. Give 3*a(q) - 5*h(q).\nAnswer: 2*q + 961","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17514, -70128, -157898, -280890, -439170, -632804, -861858?\nAnswer: -1126398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.05 - -7. Let m = w - 0.35. Which is the nearest to -1? (a) 3 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-14 - (-8 - -13) - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o - 22. What is the tens digit of b(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -3*n - s*p + 71 = -p, 0 = n - 3*p - 42. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-6)\/72 + (-162860)\/(-4560) + -36.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 146 = 2*n - 864, -911 = -5*a + 2*n. What is the remainder when 1981 is divided by a?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8318 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n - 2. Let y be l(3). Let a(j) = j**3 - 7*j**2 + 9*j - 4. Let h be a(6). Let v = y - h. Solve -4*u - v = 3*q, -5*u - 46 = 4*q - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1686762 and 53548.\nAnswer: 3373524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 9. Let m = 85735 - 85735.3. Which is the nearest to -3? (a) 2\/15 (b) m (c) i (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4808 divide 24741968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 3568\/35, 0, 4 in descending order.\nAnswer: 180, 3568\/35, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*z - 22200020, -5*a - 8944152 = -3*z + 18805833. What is a rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s - 69*s = -5184. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 1. Is 9 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(-6)*r)\/r)\/r)\/r**21*(((r\/(r**(-3\/11)*r))\/r*r)\/r*r)**(-6\/29) assuming r is positive.\nAnswer: r**(-8631\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 4*o**2 + 2*o - 37. Let w be r(0). Which is smaller: w or -462\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:21 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*z - 220 = -3*w, -538 = -5*w - 2*z. Calculate the common denominator of (-573)\/w - (-3 - 44\/(-16)) and 71\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/272*-6*10*9*(-3)\/405?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*k + 4*g - 0*g, -4*g - 16 = 4*k. Sort 5, 4, k in descending order.\nAnswer: 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-150)\/(-100) + (-1 - 2\/(-4)). Let m be 5 - (p + 4 - (3 - 0)). Solve 4 = -m*x + 4*i, i - 7 = 3*x + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 63*w**2 + 118*w - 1545. Let b be i(12). What is the greatest common divisor of b and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from oouguoeo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/10, -4147, -1006.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45572571*b**3*s**2 - 7*b**2*s**2 - 3*b**2 - b*s**2 - 128645*s**2 wrt b?\nAnswer: 273435426*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-15)\/(-9) + -2). Let h(s) = s**3 - 1 - n*s - 9 + 3 - 4*s**2. Let i be h(5). Solve p + 2 = -0*p, -r + i = p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/3 (b) 6\/13 (c) 1\/2 (d) 0.4 (e) -194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/363)\/((-3)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.152 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 5?\nAnswer: -144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7370646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 20\/5 - (-27 + -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moocxcmjmco. What is prob of sequence oo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 35*x - 121. Give g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -153300.\nAnswer: -1\/30660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-11))\/((f\/(f*f**(1\/7)))\/f)*f**(-3\/5)\/(f*f**(2\/15)\/f*f*f))**(-7))**11 assuming f is positive.\nAnswer: f**(-12023\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -18. Suppose -a*g + 14 = -16. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyuluuuuadlu. What is prob of picking 2 l and 1 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1014, 679, 3500, 7449?\nAnswer: 12526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -25*q + 138, 31525*q = -5*i + 31526*q - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-25 - -31) + 2 + -15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 11*o**2 - 5*o - 10. Let v be p(-11). Let b be 1 - (v\/10)\/9. Determine w, given that -1\/4*w + 1\/4*w**2 - b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*r + 16*r - 10*r + 88902. List the prime factors of r.\nAnswer: 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - (-11 - -5)) - -1 - -36?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 755 + -342. Let c = 418 - l. Solve -c*s + 3*k = -2*k, -5*s - 5*k - 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 3*q**2 + 2*q - 160. Let j be b(5). Sort j, 0, -11, 5, -2 in increasing order.\nAnswer: -11, -2, 0, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102774 - 143886. Suppose -28224 = 5*b - 7*b. Let n = b + z. Round n to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-4)*(-102)\/765?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 666 - 5984\/9. What is the common denominator of ((-231)\/252)\/(6\/(-4) - -2) and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -25. Let n be 12\/(-32)*1797\/w. Let f = n - -75. Which is the second biggest value? (a) f (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158503702 + -158503783.9999863. Let p = d + 82. What is p rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (0\/5)\/4. Let n(m) = -6*m + m**2 + 2*m + y*m. Let p(x) = -1. Let s(u) = 2*u - 6. Let q(o) = 6*p(o) - s(o). Determine q(n(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/41 and -79\/328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 48, 1, -2\/11, -4, 47 in descending order.\nAnswer: 48, 47, 10, 1, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-77) - (-468)\/(-22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(27*(-78)\/(-5265)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4108 is divided by 115?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 9*n - 14. Let h be u(6). Let k(d) = -5*d + 0*d - 2*d**2 + 0*d**2 + 3*d**2. What is k(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*3*6 - (sqrt(78) + -1*sqrt(78)*-1))\/(-1*sqrt(600)*2 + 5*sqrt(600)*-2 + sqrt(600))*-3.\nAnswer: 24*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1555811 and 41946.3?\nAnswer: 41946.4555811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = b. Suppose -b*g - h = -6*h + 7, -3*g + h + 3 = 0. Find the second derivative of v**g - 4*v - 2*v + 4*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 25.845\nAnswer: -2.84295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -37 and -15908.\nAnswer: -15945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-20))\/(87\/(-58))*-1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1830 - 1830 + 227*a)*(-11*a**3 + 4*a**2 - 4*a**2 + 1 - a**3 - 1 + (0 + 2*a + 0)*(0*a**2 + a**2 - 2*a**2)).\nAnswer: -3178*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -17. Let y be (-6)\/(-9) + i\/(-6). Suppose 4*n + a - 88 = 0, y*a = -n - 4*n + 103. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1549 + 1549. Which is the nearest to h? (a) -0.08 (b) 6\/11 (c) 9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.511 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -126.49. Let k = o + -0.24. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17086e (base 15) to base 8\nAnswer: 4203006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4531 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 7 + 17 + x**3 - 22 - 9*x**4 in the form u*x**3 + d*x**2 + h + g*x**4 + s*x and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(198))\/sqrt(11) + 0 + sqrt(32) + (sqrt(2) - (sqrt(16)\/sqrt(2))\/sqrt(4)) + 5)**2.\nAnswer: 100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from bttbtttbtbt?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 3*b**2\/2 + 23*b + 381. Let l(c) = 2*c + 1. Let p be l(5). Let o be z(p). Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*z**3 - 2*z**4 + 9 - 3 - 2*z - z**2 - 239*z**3 in the form y*z + w*z**3 + h*z**4 + b + a*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 64\/187, 0, -2, -3577 in decreasing order.\nAnswer: 64\/187, 0, -2, -3577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 1, x: 2, d: 1, g: 1, b: 1}. What is prob of sequence xxr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 14*c**2 - 4*c + 4. Let o be h(16). Let i = -275 + o. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -921697.\nAnswer: -3686788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16524 + -5?\nAnswer: -16532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = r - 2*z, -12*r - 7*r + 23*r + 16 = 4*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88\/5 + -17. Let q = 244 - 1706\/7. What is the nearest to q in 2\/5, b, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 21*s. Let i(k) = 468540*k**2 - 4*k. Determine g(i(z)).\nAnswer: 9839340*z**2 - 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 51640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 395 = -2*b, -n = -5*b - 0*b - 143. Suppose 3*q + 35 + 54 = 4*u, 3*u - 70 = -q. Let l = 42 - u. What is the greatest common factor of n and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16600*p - 2038. What is the hundreds digit of g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 2*i**2 + 3*i - 3. Let d be r(-2). List the prime factors of (-228)\/(-5) + 15\/d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsjxdtxjsj. What is prob of picking 2 x and 1 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251894298 and 10212?\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 232. Suppose 344*k + 1634 = 301*k. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4393 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 16, 30, 50?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -338 + 56*a - 167*a + 57*a + 49*a in the form g + c*a and give g.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 49. Let h = -34 + o. Suppose 9745 = -4*p + h*g, 0 = -p + 3*p + g + 4883. What is p rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3*i - 2. Let j(x) = 8 - 3 - x**2 - 2*x + 4*x - 7. Let p = 0 - 2. Let g be p\/(-6) - 16\/(-6). Calculate g*j(k) - 2*d(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 44. Let r be d(-8). Let g(s) = -s**3 + 15*s + 3. What is the least common multiple of g(r) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + 2)*5.\nAnswer: 30*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (498\/12035)\/((-108)\/(-180))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 857 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2)**2 + (sqrt(90)\/sqrt(3))\/sqrt(6).\nAnswer: sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 22893960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003552 to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069616 rounded to five dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and -0.0854.\nAnswer: -0.16226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1865557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 - 1 + 1)*(208*w + 220*w - 422*w - 5)*(-5 - 3 + 2) to k*w + z*w**3 + l*w**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i + 21*i - 16*i + 29*i - 14*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 237*a - 232*a + f - 501, 0 = 2*a - f - 206. Solve -96*i + a*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**15\/w**(1\/17) assuming w is positive.\nAnswer: w**(254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**2 - 495828*g - 11406160 = 0?\nAnswer: -23, 123980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145158.\nAnswer: 2, 3, 13, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**2 - 6. Let r be j(-2). Solve 3*i + r*w - 4 = 0, i + 3*w - 2 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4332 and 2145062.\nAnswer: 12870372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52422.99 days?\nAnswer: 1258151.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 50*f**2 - 23. Let l(n) = 49*n**2 - 24. Let q(j) = 5*h(j) - 6*l(j). Find the first derivative of q(x) wrt x.\nAnswer: -88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/216 and 149\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a meter in centimeters?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(153) + 0.\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623591 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 1\/9 (c) -1\/3 (d) 2\/2409 (e) 0.2 (f) 0.5 (g) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*o + 142*o - 68*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 + 13315013\nAnswer: 13315020.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*x + 8*k - 13*k, -5*x = -3*k - 20. Suppose 0 = -x*j - 17*j + 23016. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (8 - (-4)\/(-4)). Let w(p) = 22*p**2 + 10*p + 1. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/16)\/(3\/56). Suppose 5*t - 5*r + 0*r = m, -20 = -t - 5*r. Suppose 4*f = -f - t. What is the third biggest value in 3, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -222202550 and 19172.\nAnswer: -222183378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 14274*s**2 + 0 + 28519*s**2 + 6*s - 14278*s**2.\nAnswer: -33*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/6)*(z\/(z**(-24)\/z))\/z)\/(z**(-2\/39)*z)**(-49) assuming z is positive.\nAnswer: z**(1889\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2088 - -0.7088. Which is the second biggest value? (a) 2\/3 (b) j (c) 0.3 (d) 12 (e) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4111 - -5571. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-525)\/(399\/(-19)))\/(-3)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -117204, -117206, -117208, -117210, -117212?\n\"Answer: -2*t - 117202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*u**6 - 12*u**3 - 17*u**2 - 6*u - 5?\nAnswer: 2520*u**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {f: 3, h: 1, z: 2, q: 5, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.288 and 93.0206397?\nAnswer: 92.7326397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 8 + -2 + 2 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 - s. Let y be d(-2). Let g be -6 + y\/(5 + -2). Let v(c) = -2*c - 4. Let w be v(g). Solve w*u + 9 = 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/18)\/(8\/(-84)). Let c = -456 - -451. Is f < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 144 = -8129*m + 8125*m, 0 = -5*u - 660 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.7 - -29. Let r be (4\/(-130))\/((-9)\/(-45)). Sort r, s, 4\/5 in increasing order.\nAnswer: r, s, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-4 + 1))\/1. Suppose 0 = 2*v - 3*m - 185, -v - 4*m - 22 + 98 = 0. Let g = v - a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 42*h = 38*h - 36, -4*i + 33 = -3*h for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 5\/672786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + c - 522 = 116, -854 = -4*t - 2*c. Let y = 300 - t. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 35046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -40. Let w(a) = a**3 + 8*a**2 - 7*a + 22. Let n be w(g). Suppose 2*q = n*q - u - 37, -5*q - 4*u = -112. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(36) + sqrt(4)))\/(sqrt(242)*1*5 - sqrt(242)) + 1.\nAnswer: -12*sqrt(2)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/3 - 264*r**5 - 2403*r**2 - 73. Find the second derivative of z(s) wrt s.\nAnswer: -40*s**3 - 15840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 270.6379kg?\nAnswer: 270637900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 74. Let q be g(-18). Suppose -54*f = -q*f + 36. What is the remainder when 103 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3681635990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449 = 5*c - 8*c. Let s = 923 - c. Suppose 0 = -2*p + 13*p - 440. Calculate the greatest common factor of s and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*f - 0 + 3, n + 1 = f. Let s = -150\/11 - -267\/22. Sort s, n, -3 in descending order.\nAnswer: n, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 67*c**5 + 1141*c**4 + 5394*c**3 + 4448*c**2 + 128*c = 0.\nAnswer: -8, -1, -2\/67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 - 19*v**2 + 5 - 9*v**2 - 19 wrt v?\nAnswer: -56*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 47) + (-5 + 1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f - 70*f - 2 - 385*f**2.\nAnswer: -385*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2118 and (-4 + 29 - 22) + (-38)\/12.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/20 + j**4\/2 - 3*j**3\/2 - j**2 - 51*j. Let w be g(3). Let f = 0.05 + -6.05. Sort f, -1, 0, w.\nAnswer: f, w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7292 - 2725?\nAnswer: -10017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 3, c: 1, w: 1, g: 6}. Give prob of sequence gacp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z**5\/4 - 35*z**4\/2 - 5*z**3\/4 + 45*z**2 + 5*z - 20 = 0.\nAnswer: -1, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/13 and -43\/4206?\nAnswer: 54678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-18)*p)\/p)**(-49)*p**(-2\/35)\/((p**10*p)\/p) assuming p is positive.\nAnswer: p**(30518\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5935464582 - -2?\nAnswer: -5935464580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.26729 - 47.95829. Let t = b - -0.191. Round t to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.02 - -0.02. Let u = z + -4. Let b = u + 8. Put 2, 0.3, b in increasing order.\nAnswer: 0.3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*2 + 90\/18 + 343 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*3 + -2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-200)\/(-36) + (-4)\/(-9). Solve 2*b = -3*w - 22, -w = b - 3*b - j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13345 is divided by 4447.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 71. Put 1\/2, 0.11, m in ascending order.\nAnswer: 0.11, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-8 - -4) + 6 + -24. Find the common denominator of 2\/(-42)*(5 - (-117)\/x) and -121\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = -8. Does 7 divide -2 - 104\/a*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 26*f + 198. Solve -3*p = -0*p + f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1982422808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = 0, -4*q + 29 = 3*p - 21. What is the least common multiple of p and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*z**3 + 194*z**3 - 382*z**3 + 3 + 4.\nAnswer: -5*z**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7175 + 0.\nAnswer: -7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*q**2 + 0*q + 4*q + 31*q**2 as h*q + c*q**2 + r and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c + 66*c - 2*o - 26 = 0, -c - 3*o - 18 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-3) - (-8 - 208\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (-13 - ((-19 - -8) + 15) - -2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1013201 (base 4) to base 13\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 2*m**4 + 2*m**3 + 180 - 180 + 3*m - 6*m**2 in the form v + k*m**2 + a*m**3 + r*m + z*m**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134539.\nAnswer: 4134539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-4))\/(5\/(-4 + -416)). Calculate the common denominator of -64\/15 and (-2)\/(6*(-18)\/q).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(49)\/(sqrt(21)\/sqrt(3)).\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12)*(-12 + 0). Solve -8 = -0*k - m*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0962793 kilometers?\nAnswer: 96.2793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.50521 micrometers to kilometers.\nAnswer: 0.00000004750521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 828787667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -320415 (base 7) in base 3?\nAnswer: -2211001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 2. Let v = -11 + 11. Suppose -s = -2*o + 21, 3*o + 3*s = -v*o + 9. Let b be q(o). Calculate the greatest common divisor of b and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*a - 701*a + 368*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18*h - 68 = 0. Let a = -6 - -12. Find the third derivative of x**2 - a*x**2 + 2*x**h + 0*x**4 wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 27 = 4*o - 5*l, 3*o + 5*l = 110. Calculate the lowest common multiple of 70 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 120\/(-21) - 4\/14. Let x be p*(225\/10 - -4). Let o = -102 - x. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/40)\/((-1113)\/(-636)). Which is smaller: -16 or p?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 266*n**2 - 5*n. Let q be (-1 - (-5 + 4)) + 4. Let u be a(q). Suppose 4*j - u = -4*v, 0 = -j + 6*j - v - 5271. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*z = -8 + 33, -5*y - 25 = z. Does 2 divide (-2)\/y - (-936)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*g**2 - 1 + 1 + 266*g**2 in the form a*g**2 + o*g + f and give a.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 78 + 383 + -429.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = 2*m - 5*s - 140 + 350, 9*m + 4*s = 53 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Let z be ((-6)\/(-4))\/(6\/c). What is the derivative of r**2 - 2*r**2 - 1 - 1 + z wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 12) to base 15.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 2, g: 1}. Give prob of sequence dk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in years?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 9*y + 9. Let l be w(-11). Let r = 33 + l. Solve -17 = 5*f + 2*o + 3, 5*f = 4*o - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.76 - 10.24. Let i = -25 + 6. Let p = i - d. Sort -2, p, -1 in decreasing order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4186473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g + 3 - 4*g + 19*g. Calculate m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -7*n**6\/720 - n**4\/6 + 19*n. Let q(f) be the third derivative of h(f). Let p(v) = 4*v**2. Give p(q(r)).\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 128*n - 131*n + 4*t - 31, 0 = -3*n - 13*n - t - 307 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/(w*w**(2\/7))*w\/w**(-4\/3)*w*(w**(-3\/2)\/w)\/w)\/((((w\/w**0)\/w)\/w)**(-34))**(-2\/37) assuming w is positive.\nAnswer: w**(-2509\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -949868 or -949865?\nAnswer: -949865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74072 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2174, 1998, 1818, 1634, 1446, 1254?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*c + 6 = 0, -2*q + 4 = 2*c - 0. Suppose 52 = q*g - 0*g. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 6*t + 5*g = 4*t, -2*g + 13 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7207, -14368, -21533, -28702, -35875?\n\"Answer: -2*z**2 - 7155*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11436480790 rounded to the nearest 100000?\nAnswer: -11436500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from xwwpxxwpwwwppwwpp.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.067, -2\/9, 399.\nAnswer: -2\/9, 0.067, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)*z**3*(z\/(z\/(z\/(z*(z\/((z*z\/z**(-2)*z)\/z*z))\/z))))**38 assuming z is positive.\nAnswer: z**(773\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by -1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 55*w**2 - 2*w + 1. Let j(x) = x**2 - 2*x + 1. Let g(p) = j(p) - m(p). Let r(d) = 2*d. Determine r(g(q)).\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3464 - 2187. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r - 3 + 4 + 2*r. Let c(s) = s**2 - 2*s. Let u be c(5). Let b(t) = 15 - u - t. Determine -4*b(d) - i(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 13*l - 1. Suppose 2*o = -0*q + 3*q + 20, -4*o = -4*q - 20. List the prime factors of p(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60565*z**2 - 214902*z wrt z?\nAnswer: 121130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 93. Let b be (93\/(-4))\/((-1)\/s). Let u = b + -89. Solve -u = 4*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*n - 15, 2*d - n + 2*n - 45 = 0. Let t(k) = -11*k + 3. What is the remainder when t(-5) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcffccjff. What is prob of picking 1 f, 1 c, and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -110. Let v = t - 19. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46162000 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 339 in ascending order.\nAnswer: -3, 4, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 + 5. Let a be h(7). Suppose b - 2*k - 307 = 0, 3*b = -b - a*k + 1176. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-4 - -4*2). Solve 2 = 2*m + b - 7, -m - b + 4 = i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14 + 6 - 26 - 2*o. Let i be f(-1). Is (i + 6)*(-2 - 24027\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 - (4 - 6\/3). Let q = -8 - i. Let f = 27 + -8. What is the remainder when f is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13\/4, -19, -246?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 28.1\nAnswer: 1.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - t + 5*t + (2 + 0 + 16 - 5)*(101 + 72 - 3*t - 207).\nAnswer: -37*t - 442","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-94280)\/(-15) - ((-4)\/(-10) - 124\/60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t. Let s(p) = -1214759*p**2 + 2 + 1214761*p**2 + 361*p - 2. Give y(s(a)).\nAnswer: 8*a**2 + 1444*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 + 259 - (3 - (7 + -9 + -69)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76634287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40516.27 rounded to the nearest ten?\nAnswer: -40520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1203336095 + 0.60458\nAnswer: 1203336095.60458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 40. Suppose -2*n = -4*p + 20, 0 = -c*p + 2*p + 2*n + 2. Solve 2 = -4*z + p*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbbbctbcbcctcccbbb. What is prob of picking 1 b, 1 t, and 2 c?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1646*h - 625*h + 2353*h.\nAnswer: 82*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 497, -74, -0.012, -4.\nAnswer: -74, -4, -0.012, 497","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, 5*i - 183 = 2*i - 5*g + 3*g. Let u be 17 + (3 - (0 - -2)). Calculate the greatest common divisor of i and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - p - 13, -20 + 73 = -4*y - 5*p. Let v = 4 - 4. Suppose -x - w = 2, 4*w - 26 = 5*x + w. Sort v, y, -1, x in descending order.\nAnswer: v, -1, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(2 + -1) - 2. What are the prime factors of (h\/3)\/((-8)\/156)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 15*q**2 + 32*q - 88. What is x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**4\/12 + g**3\/3 + 2*g**2 + 4*g. Let v be k(0). Suppose -4 + 13 = 3*l. Which is the closest to v? (a) -1\/4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, c: 6, o: 3}. Give prob of sequence ox.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 8. Let b(g) = 4*g**2 + 1172*g + 86468. Let u(x) = b(x) + 4*l(x). Let u(n) = 0. What is n?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -82*x**3 + 0*x**2 - x**2 + 81*x**3 - 3. Let q be m(0). Sort q, 35, -1 in ascending order.\nAnswer: q, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-13)*(g\/g**(-3\/4))\/g**(2\/19) assuming g is positive.\nAnswer: g**(-1601\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 48\/12 + (28 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 12) to base 16\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -673 - -659. Sort 3\/11, -0.4, 2\/13, w in increasing order.\nAnswer: w, -0.4, 2\/13, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3\/5, -173\/2, 2\/7, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 28, 68, 134, 232, 368?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbjbccccbbccbbjlbc. Give prob of sequence bjcl.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20004 - -2?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.083? (a) -0.05 (b) -1 (c) 0 (d) 188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let i(y) = -y - 2*y + 2*y - 11. Let q(x) = -2. Let a(m) = -2*i(m) + 11*q(m). Give o(a(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}